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581 lines
78 KiB
HTML
581 lines
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HTML
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<h1 align="center">High School Geometry Curriculum</h1><p>Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. <a href="index-curriculum.html">Curriculum Home</a></p><div class="center80"><p align="center"><i>Important: this is a guide only.<br />Check with your local education authority to find out their requirements.</i><br/></p></div><div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">High School Geometry | Measurement</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define radian measure</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/radians.html" target="MathIsFun">Radians</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/radian.html" target="MathIsFun">Radian Definition</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Convert between radian and degree measures</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/degrees.html" target="MathIsFun">Degrees</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/radians.html" target="MathIsFun">Radians</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define a Steradian and know its relationship to square degrees.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/steradian.html" target="MathIsFun">Steradian</a></div>
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<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">High School Geometry | Geometry (Plane)</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the area and/or perimeter of figures composed of polygons and circles or sectors of a circle
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Note: Figures may include triangles, rectangles, squares, parallelograms, rhombuses, trapezoids, circles, semi-circles, quarter-circles, and regular polygons (perimeter only).</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons.html" target="MathIsFun">Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle.html" target="MathIsFun">Circle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../area.html" target="MathIsFun">Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../area-calculation-tool.html" target="MathIsFun">Area Calculator</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/double-hearts-ratio.html" target="MathIsFun">Double Hearts Ratio Puzzle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/perimeter.html" target="MathIsFun">Perimeter</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/garden-area.html" target="MathIsFun">Activity: Garden Area</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons-interactive.html" target="MathIsFun">Interactive Polygons</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the length of an arc of a circle, given its radius and the measure of its central angle </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-sector-segment.html" target="MathIsFun">Circle Sector and Segment</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/arc.html" target="MathIsFun">Arc Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/radians.html" target="MathIsFun">Radians</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/arc-length.html" target="MathIsFun">Definition of Arc Length</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a bisector of a given angle, using a straightedge and compass, and justify the construction</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/construction-geometry-.html" target="MathIsFun">Definition of Construction (Geometry)</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/compass-drawing-.html" target="MathIsFun">Definition of Compass</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-anglebisect.html" target="MathIsFun">Angle Bisector Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/bisect.html" target="MathIsFun">Bisect</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct the perpendicular bisector of a given segment, using a straightedge and compass, and justify the construction</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/construction-geometry-.html" target="MathIsFun">Definition of Construction (Geometry)</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/compass-drawing-.html" target="MathIsFun">Definition of Compass</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-linebisect.html" target="MathIsFun">Line Segment Bisector Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/bisect.html" target="MathIsFun">Bisect</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct lines parallel (or perpendicular) to a given line through a given point, using a straightedge and compass, and justify the construction </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/construction-geometry-.html" target="MathIsFun">Definition of Construction (Geometry)</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/compass-drawing-.html" target="MathIsFun">Definition of Compass</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-paranotline.html" target="MathIsFun">Parallel Line through a Point Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-perponline.html" target="MathIsFun">Perpendicular to a Point on a Line Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-perpnotline.html" target="MathIsFun">Perpendicular to a Point NOT on a Line Construction</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct an equilateral triangle, using a straightedge and compass, and justify the construction</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/construction-geometry-.html" target="MathIsFun">Definition of Construction (Geometry)</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/compass-drawing-.html" target="MathIsFun">Definition of Compass</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-equitriangle.html" target="MathIsFun">Equilateral Triangle OR 60 degree angle Construction</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate and apply the concurrence of medians, altitudes, angle bisectors, and perpendicular bisectors of triangles</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-anglebisect.html" target="MathIsFun">Angle Bisector Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-perponline.html" target="MathIsFun">Perpendicular to a Point on a Line Construction</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/bisect.html" target="MathIsFun">Bisect</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangle-centers.html" target="MathIsFun">Triangle Centers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve problems using compound loci</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/locus.html" target="MathIsFun">Definition of Locus</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/set-of-points.html" target="MathIsFun">Set of All Points</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Identify corresponding parts of congruent triangles and other figures</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/congruent.html" target="MathIsFun">Congruent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-congruent.html" target="MathIsFun">Congruent Triangles</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the isosceles triangle theorem and its converse</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/isosceles-triangle.html" target="MathIsFun">Definition of Isosceles Triangle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../triangle.html" target="MathIsFun">Triangles - Equilateral Isosceles and Scalene</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about geometric inequalities, using the exterior angle theorem</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../proof180deg.html" target="MathIsFun">Triangles Contain 180 Degrees</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/exterior-angles.html" target="MathIsFun">Exterior Angle</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Based on the measure of given pairs of angles formed by the transversal and the lines, determine whether two lines cut by a transversal are parallel. </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/alternate-exterior-angles.html" target="MathIsFun">Alternate Exterior Angles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/alternate-interior-angles.html" target="MathIsFun">Alternate Interior Angles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/consecutive-interior-angles.html" target="MathIsFun">Consecutive Interior Angles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/corresponding-angles.html" target="MathIsFun">Corresponding Angles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-lines.html" target="MathIsFun">Parallel Lines and Pairs of Angles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transversal.html" target="MathIsFun">Transversals</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about the sum of the measures of the interior and exterior angles of polygons</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/exterior-angles-polygons.html" target="MathIsFun">Exterior Angles of Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/interior-angles-polygons.html" target="MathIsFun">Interior Angles of Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/regular-polygons.html" target="MathIsFun">Regular Polygons - Properties</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons.html" target="MathIsFun">Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons-interactive.html" target="MathIsFun">Interactive Polygons</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about each interior and exterior angle measure of regular polygons</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/exterior-angles-polygons.html" target="MathIsFun">Exterior Angles of Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/interior-angles-polygons.html" target="MathIsFun">Interior Angles of Polygons</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/regular-polygons.html" target="MathIsFun">Regular Polygons - Properties</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons.html" target="MathIsFun">Polygons</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about parallelograms involving their angles, sides, and diagonals</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/quadrilaterals-interactive.html" target="MathIsFun">Interactive Quadrilaterals</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/parallelogram.html" target="MathIsFun">Parallelogram Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadrilaterals.html" target="MathIsFun">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallelogram.html" target="MathIsFun">Parallelogram</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about special parallelograms (rectangles, rhombuses, squares) involving their angles, sides, and diagonals</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/quadrilaterals-interactive.html" target="MathIsFun">Interactive Quadrilaterals</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/rectangle.html" target="MathIsFun">Definition of Rectangle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/rhombus.html" target="MathIsFun">Rhombus Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/square.html" target="MathIsFun">Square Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadrilaterals.html" target="MathIsFun">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/square.html" target="MathIsFun">Square</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rectangle.html" target="MathIsFun">Rectangle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rhombus.html" target="MathIsFun">Rhombus</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/kite.html" target="MathIsFun">Kite</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about trapezoids (including isosceles trapezoids) involving their angles, sides, medians, and diagonals</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/quadrilaterals-interactive.html" target="MathIsFun">Interactive Quadrilaterals</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/trapezoid.html" target="MathIsFun">Trapezoid Definition</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadrilaterals.html" target="MathIsFun">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/trapezoid.html" target="MathIsFun">Trapezoid</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Justify that some quadrilaterals are parallelograms, rhombuses, rectangles, squares, or trapezoids</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadrilaterals.html" target="MathIsFun">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/quadrilaterals-interactive.html" target="MathIsFun">Interactive Quadrilaterals</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rectangle.html" target="MathIsFun">Rectangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rhombus.html" target="MathIsFun">Rhombus</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/square.html" target="MathIsFun">Square</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallelogram.html" target="MathIsFun">Parallelogram</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/trapezoid.html" target="MathIsFun">Trapezoid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/kite.html" target="MathIsFun">Kite</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about similar triangles </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar.html" target="MathIsFun">Similar Triangles</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar-theorems.html" target="MathIsFun">Theorems about Similar Triangles</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Given one or more lines parallel to one side of a triangle and intersecting the other two sides of the triangle, investigate, justify, and apply theorems about proportional relationships among the segments of the sides of the triangle. </div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar-theorems.html" target="MathIsFun">Theorems about Similar Triangles</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar.html" target="MathIsFun">Similar Triangles</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about mean proportionality:
|
|
* the altitude to the hypotenuse of a right triangle is the mean proportional between the two segments along the hypotenuse
|
|
* the altitude to the hypotenuse of a right triangle divides the hypotenuse so that either leg of the right triangle is the mean proportional between the hypotenuse and segment of the hypotenuse adjacent to that leg</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/mean-proportional.html" target="MathIsFun">Mean Proportional and the Altitude and Leg Rules</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems regarding chords of a circle:
|
|
* perpendicular bisectors of chords
|
|
* the relative lengths of chords as compared to their distance from the center of the circle</div>
|
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle.html" target="MathIsFun">Circle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/chord.html" target="MathIsFun">Definition of Chord</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/bisect.html" target="MathIsFun">Bisect</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about tangent lines to a circle:
|
|
* a perpendicular to the tangent at the point of tangency
|
|
* two tangents to a circle from the same external point
|
|
* common tangents of two non-intersecting or tangent circles</div>
|
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/tangent-line-.html" target="MathIsFun">Tangent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-circletangent.html" target="MathIsFun">Point to Tangents on a Circle Construction</a></div>
|
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about the arcs determined by the rays of angles formed by two lines intersecting a circle when the vertex is:
|
|
* inside the circle (two chords)
|
|
* on the circle (tangent and chord)
|
|
* outside the circle (two tangents, two secants, or tangent and secant)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems regarding segments intersected by a circle:
|
|
* along two tangents from the same external point
|
|
* along two secants from the same external point
|
|
* along a tangent and a secant from the same external point
|
|
* along two intersecting chords of a given circle</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define, investigate, justify, and apply isometries in the plane (rotations, reflections, translations, glide reflections) Note: Use proper function notation.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-reflection.html" target="MathIsFun">Reflection Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rotation.html" target="MathIsFun">Geometry Rotation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/reflection.html" target="MathIsFun">Geometry - Reflection</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-point.html" target="MathIsFun">Point Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/translation.html" target="MathIsFun">Geometry Translation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-rotational.html" target="MathIsFun">Rotational Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transformations.html" target="MathIsFun">Transformations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry.html" target="MathIsFun">Symmetry - Reflection and Rotation</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the properties that remain invariant under translations, rotations, reflections, and glide reflections</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rotation.html" target="MathIsFun">Geometry Rotation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transformations.html" target="MathIsFun">Transformations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry.html" target="MathIsFun">Symmetry - Reflection and Rotation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-rotational.html" target="MathIsFun">Rotational Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/reflection.html" target="MathIsFun">Geometry - Reflection</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-reflection.html" target="MathIsFun">Reflection Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-point.html" target="MathIsFun">Point Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/translation.html" target="MathIsFun">Geometry Translation</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Justify geometric relationships (perpendicularity, parallelism, congruence) using transformational techniques (translations, rotations, reflections)</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/congruent.html" target="MathIsFun">Congruent</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transformations.html" target="MathIsFun">Transformations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/symmetry-rotational.html" target="MathIsFun">Rotational Symmetry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/perpendicular.html" target="MathIsFun">Perpendicular Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/parallel.html" target="MathIsFun">Definition of Parallel</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/congruent.html" target="MathIsFun">Definition of Congruent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rotation.html" target="MathIsFun">Geometry Rotation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/translation.html" target="MathIsFun">Geometry Translation</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Define, investigate, justify, and apply similarities (dilations and the composition of dilations and isometries)</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/similar.html" target="MathIsFun">Similar</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/similar.html" target="MathIsFun">Similar Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/resizing.html" target="MathIsFun">Geometry Resizing</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transformations.html" target="MathIsFun">Transformations</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the properties that remain invariant under similarities </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/similar.html" target="MathIsFun">Similar</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Identify specific similarities by observing orientation, numbers of invariant points, and/or parallelism</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/similar.html" target="MathIsFun">Similar</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the analytical representations for translations, rotations about the origin of 90° and 180° reflections over the lines x=0, y=0, and y=x, and dilations centered at the origin</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/reflection.html" target="MathIsFun">Geometry - Reflection</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/rotation.html" target="MathIsFun">Geometry Rotation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/transformations.html" target="MathIsFun">Transformations</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/translation.html" target="MathIsFun">Geometry Translation</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/resizing.html" target="MathIsFun">Geometry Resizing</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct the center of a circle using a straight edge and compass.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-circlecenter.html" target="MathIsFun">Center of Circle Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Calculate the area of a segment of a circle, given the measure of a central angle and the radius of the circle </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-sector-segment.html" target="MathIsFun">Circle Sector and Segment</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/segment.html" target="MathIsFun">Segment Definition</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a circle touching three points using a straight edge and compass.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-circle3pts.html" target="MathIsFun">Circle touching 3 Points Construction</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-trianglecircum.html" target="MathIsFun">Circumscribe a Circle on a Triangle Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Circumscribe a circle on a triangle using a straight edge and compass.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-trianglecircum.html" target="MathIsFun">Circumscribe a Circle on a Triangle Construction</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-circle3pts.html" target="MathIsFun">Circle touching 3 Points Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a triangle with three known sides using a ruler and compass, and justify the construction</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-ruler-compass-1.html" target="MathIsFun">Constructing A Triangle With 3 Known Sides</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangle-3-4-5.html" target="MathIsFun">3 4 5 Triangle</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Cut a line into n equal segments using a straightedge and compass, and justify the construction</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-segment3.html" target="MathIsFun">Cut a line into N segments Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a circle inscribed within a triangle (incircle) using a ruler and compass, and justify the construction.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-anglebisect.html" target="MathIsFun">Angle Bisector Construction</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-triangleinscribe.html" target="MathIsFun">Inscribe a Circle in a Triangle Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a pentagon using a ruler and compass, and justify the construction.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-pentagon.html" target="MathIsFun">Pentagon Construction</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Construct a tangent from a point to a circle using a ruler and compass, and justify the construction.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-circletangent.html" target="MathIsFun">Point to Tangents on a Circle Construction</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know that the apothem of a regular polygon is the radius of its incircle, and know its relationship to the radius of the circumcircle of the polygon or the length of side of the polygon.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/regular-polygons.html" target="MathIsFun">Regular Polygons - Properties</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/apothem.html" target="MathIsFun">Apothem Definition</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Calculation of the area of a regular polygon from the number of sides and either the length of side, radius of the circumcircle or length of apothem.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/regular-polygons.html" target="MathIsFun">Regular Polygons - Properties</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about the number of diagonals of regular polygons.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/regular-polygons.html" target="MathIsFun">Regular Polygons - Properties</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons-diagonals.html" target="MathIsFun">Diagonals of Polygons</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polygons-interactive.html" target="MathIsFun">Interactive Polygons</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate the properties of the pentagram, and its relationship to the golden ratio.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pentagram.html" target="MathIsFun">The Pentagram</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use a ruler and drafting triangle to construct a line parallel to a given line and passing through a given point, or to construct a line perpendicular to a given line at a given point.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/construct-ruler-triangle.html" target="MathIsFun">Using a Ruler and Drafting Triangle</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand that a plane is a flat surface with no thickness that goes on forever.</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/plane.html" target="MathIsFun">What is a Plane?</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to find the ratio of the areas of similar shapes given the ratio of their lengths.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar-theorems.html" target="MathIsFun">Theorems about Similar Triangles</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../numbers/ratio.html" target="MathIsFun">Ratios</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar.html" target="MathIsFun">Similar Triangles</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/similar.html" target="MathIsFun">Similar</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate and understand circle theorems incluing the Angle at the Center Theorem, the Angles Subtended by Same Arc Theorem and The Angle in the Semicircle Theorem. </div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle.html" target="MathIsFun">Circle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate cyclic quadrilaterals and know that opposite angles of a cyclic quadrilateral are supplementary.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../quadrilaterals.html" target="MathIsFun">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/circle-theorems.html" target="MathIsFun">Circle Theorems</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">High School Geometry | Geometry (Solid)</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use formulas to calculate volume and surface area of rectangular solids and cylinders </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/equation-formula.html" target="MathIsFun">Equations and Formulas</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../area.html" target="MathIsFun">Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cylinder.html" target="MathIsFun">Spinning Cylinder</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cuboids-rectangular-prisms.html" target="MathIsFun">Cuboids Rectangular Prisms and Cubes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../cuboid.html" target="MathIsFun">Volume of a Cuboid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/volume.html" target="MathIsFun">Volume Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/soup-can.html" target="MathIsFun">Activity: Soup Can</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/surface-area.html" target="MathIsFun">Surface Area Definition</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that if a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that the lateral edges of a prism are congruent and parallel </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cuboids-rectangular-prisms.html" target="MathIsFun">Cuboids Rectangular Prisms and Cubes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/prisms.html" target="MathIsFun">Prisms with Examples</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../puzzles/unfold-the-prism.html" target="MathIsFun">Unfold the Prism Puzzle</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that two prisms have equal volumes if their bases have equal areas and their altitudes are equal</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../cuboid.html" target="MathIsFun">Volume of a Cuboid</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cuboids-rectangular-prisms.html" target="MathIsFun">Cuboids Rectangular Prisms and Cubes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/prisms.html" target="MathIsFun">Prisms with Examples</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/estimate-volume.html" target="MathIsFun">Pouring Liquid</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that the volume of a prism is the product of the area of the base and the altitude</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../cuboid.html" target="MathIsFun">Volume of a Cuboid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cuboids-rectangular-prisms.html" target="MathIsFun">Cuboids Rectangular Prisms and Cubes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/prisms.html" target="MathIsFun">Prisms with Examples</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/estimate-volume.html" target="MathIsFun">Pouring Liquid</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the properties of a regular pyramid, including:
|
|
# lateral edges are congruent
|
|
# lateral faces are congruent isosceles triangles
|
|
# volume of a pyramid equals one-third the product of the area of the base and the altitude</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pentagonal-pyramid.html" target="MathIsFun">Spinning Pentagonal Pyramid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/square-pyramid.html" target="MathIsFun">Spinning Square Pyramid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/tetrahedron.html" target="MathIsFun">Spinning Tetrahedron</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pyramids.html" target="MathIsFun">Pyramids</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangular-pyramid.html" target="MathIsFun">Spinning Triangular Pyramid</a></div>
|
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the properties of a cylinder, including:
|
|
* bases are congruent
|
|
* volume equals the product of the area of the base and the altitude
|
|
* lateral area of a right circular cylinder equals the
|
|
* product of an altitude and the circumference of the base</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/estimate-volume.html" target="MathIsFun">Pouring Liquid</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cylinder.html" target="MathIsFun">Spinning Cylinder</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the properties of a right circular cone, including:
|
|
* lateral area equals one-half the product of the slant height and the circumference of its base
|
|
* volume is one-third the product of the area of its base and its altitude</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cone.html" target="MathIsFun">Spinning Cone</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the properties of a sphere, including:
|
|
* the intersection of a plane and a sphere is a circle
|
|
* a great circle is the largest circle that can be drawn on a sphere
|
|
* two planes equidistant from the center of the sphere and intersecting the sphere do so in congruent circles
|
|
* surface area is 4 pi r<sup>2</sup>
|
|
* volume is (4/3) pi r<sup>3</sup></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/sphere.html" target="MathIsFun">Sphere</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that through a given point there passes one and only one plane perpendicular to a given line</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that through a given point there passes one and only one line perpendicular to a given plane</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that two lines perpendicular to the same plane are coplanar</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that if a plane intersects two parallel planes, then the intersection is two parallel lines</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply that if two planes are perpendicular to the same line, they are parallel</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../perpendicular-parallel.html" target="MathIsFun">Perpendicular and Parallel</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/parallel-perpendicular-lines-planes.html" target="MathIsFun">Parallel and Perpendicular Lines and Planes</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by the cross section of a prism, cylinder, pyramid, sphere or torus and recognize the shape of the cross section.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cross-sections.html" target="MathIsFun">Cross Sections</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/prisms.html" target="MathIsFun">Prisms with Examples</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pyramids.html" target="MathIsFun">Pyramids</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/torus.html" target="MathIsFun">Torus</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/sphere.html" target="MathIsFun">Sphere</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/cylinder.html" target="MathIsFun">Spinning Cylinder</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand what is meant by the dihedral angle between two planes.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/dihedral-angles.html" target="MathIsFun">Dihedral Angle Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand Euler's Formula connecting the numbers of faces, vertices and edges of the Platonic solids and many other solids.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/eulers-formula.html" target="MathIsFun">Euler's Formula</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../platonic_solids.html" target="MathIsFun">Platonic Solids</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/polyhedron.html" target="MathIsFun">Polyhedrons</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/vertices-faces-edges.html" target="MathIsFun">Vertices Edges and Faces</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/solids.html" target="MathIsFun">Activity: Investigating Solids</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Understand why there are exactly five Platonic solids.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/platonic-solids-why-five.html" target="MathIsFun">Platonic Solids - Why Five?</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the properties of a torus, including the formulas for surface area and volume.</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/torus.html" target="MathIsFun">Torus</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use formulas to calculate the surface areas and volumes of the dodecahdron, the icosahedron, the octahedron and the tetrahedron</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/dodecahedron.html" target="MathIsFun">Spinning Dodecahedron</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/icosahedron.html" target="MathIsFun">Spinning Icosahedron</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/octahedron.html" target="MathIsFun">Spinning Octahedron</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/tetrahedron.html" target="MathIsFun">Spinning Tetrahedron</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/hexahedron.html" target="MathIsFun">Spinning Cube</a></div>
|
|
<div style="font-size: 21px; margin-top: 10px; padding: 18px 5px 2px 5px;">High School Geometry | Trigonometry</div><div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the sine, cosine, and tangent ratios (or their reciprocals) of an angle of a right triangle, given the lengths of the sides</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sohcahtoa.html" target="MathIsFun">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the measure of an angle of a right triangle, given the length of any two sides of the triangle</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sohcahtoa.html" target="MathIsFun">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-finding-angle-right-triangle.html" target="MathIsFun">Finding an Angle in a Right Angled Triangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../games/random-trigonometry.html" target="MathIsFun">Random Trigonometry Questions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the measure of a side of a right triangle, given an acute angle and the length of another side</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sohcahtoa.html" target="MathIsFun">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-finding-side-right-triangle.html" target="MathIsFun">Finding a Side in a Right-Angled Triangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../games/random-trigonometry.html" target="MathIsFun">Random Trigonometry Questions</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the measure of a third side of a right triangle using the Pythagorean theorem, given the lengths of any two sides </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pythagoras.html" target="MathIsFun">Pythagoras Theorem</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/pythagoras-theorem.html" target="MathIsFun">Definition of Pythagoras Theorem</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangle-3-4-5.html" target="MathIsFun">3 4 5 Triangle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/walk-in-desert.html" target="MathIsFun">Activity: A Walk in the Desert</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/drawing-squares.html" target="MathIsFun">Activity: Drawing Squares</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/pythagoras-theorem-shoes.html" target="MathIsFun">Activity: Pythagoras' Theorem</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Express and apply the six trigonometric functions as ratios of the sides of a right triangle, and know the trigonometric identities: tan(x) = sin(x)/cos(x) etc</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sohcahtoa.html" target="MathIsFun">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/sine.html" target="MathIsFun">Sine Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/cosine.html" target="MathIsFun">Cosine Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/tangent-function-.html" target="MathIsFun">Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/cosecant.html" target="MathIsFun">Cosecant Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/secant-function-.html" target="MathIsFun">Secant</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/cotangent.html" target="MathIsFun">Cotangent Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know the exact and approximate values of the sine, cosine, and tangent of 0°, 30°, 45°, 60°, 90°, 180°, and 270° angles</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/sohcahtoa.html" target="MathIsFun">Sohcahtoa: Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-triangles-by-reflection.html" target="MathIsFun">Solving Triangles by Reflection</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch and use the reference angle for angles in standard position</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-four-quadrants.html" target="MathIsFun">Sine Cosine and Tangent in Four Quadrants</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply the co-function and reciprocal relationships between trigonometric ratios</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/cotangent.html" target="MathIsFun">Cotangent Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/secant-function-.html" target="MathIsFun">Secant</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/cosecant.html" target="MathIsFun">Cosecant Definition</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-magic-hexagon.html" target="MathIsFun">Magic Hexagon for Trig Identities</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use the reciprocal and co-function relationships to find the values of the secant, cosecant, and cotangent of 0°, 30°, 45°, 60°, 90°, 180°, and 270° angles</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch the unit circle and represent angles in standard position</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-interactive-unit-circle.html" target="MathIsFun">Interactive Unit Circle</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the value of trigonometric functions, if given a point on the terminal side of angle (theta)</div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../polar-cartesian-coordinates.html" target="MathIsFun">Polar and Cartesian Coordinates</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-four-quadrants.html" target="MathIsFun">Sine Cosine and Tangent in Four Quadrants</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/walk-in-desert-2.html" target="MathIsFun">Activity: A Walk in the Desert 2</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Restrict the domain of the sine, cosine, and tangent functions to ensure the existence of an inverse function </div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/domain-range-codomain.html" target="MathIsFun">Domain Range and Codomain</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-inverse.html" target="MathIsFun">Inverse Functions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-inverse-sin-cos-tan.html" target="MathIsFun">Inverse Sine Cosine Tangent</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use inverse functions to find the measure of an angle, given its sine, cosine, or tangent</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-finding-angle-right-triangle.html" target="MathIsFun">Finding an Angle in a Right Angled Triangle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sets/function-inverse.html" target="MathIsFun">Inverse Functions</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-inverse-sin-cos-tan.html" target="MathIsFun">Inverse Sine Cosine Tangent</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch the graphs of the inverses of the sine, cosine, and tangent functions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/grapher-equation.html" target="MathIsFun">Equation Grapher</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-inverse-sin-cos-tan.html" target="MathIsFun">Inverse Sine Cosine Tangent</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the trigonometric functions of any angle, using technology</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../scientific-calculator.html" target="MathIsFun">Scientific Calculator</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Justify the Pythagorean identities</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pythagoras.html" target="MathIsFun">Pythagoras Theorem</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve simple trigonometric equations for all values of the variable from 0° to 360° (four quadrants)</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-four-quadrants.html" target="MathIsFun">Sine Cosine and Tangent in Four Quadrants</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-inverse-sin-cos-tan.html" target="MathIsFun">Inverse Sine Cosine Tangent</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine amplitude, period, frequency, and phase shift, given the graph or equation of a periodic function</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/frequency.html" target="MathIsFun">Definition of Frequency</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/amplitude-period-frequency-phase-shift.html" target="MathIsFun">Amplitude Period Phase Shift and Frequency</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../physics/waves-introduction.html" target="MathIsFun">Introduction to Waves</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch and recognize one cycle of a function of the form y = A sin(Bx) or y = A cos(Bx)</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher.html" target="MathIsFun">Function Grapher and Calculator</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch and recognize the graphs of the functions y=sec(x), y=csc(x), y=tan(x), and y=cot(x)</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
|
|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../data/function-grapher.html" target="MathIsFun">Function Grapher and Calculator</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Write the trigonometric function that is represented by a given periodic graph</div>
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|
<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
|
|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve for an unknown side or angle, using the Law of Sines </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangle-identities.html" target="MathIsFun">Triangle Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sine-law.html" target="MathIsFun">The Law of Sines</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the area of a triangle or a parallelogram, given the measure of two sides and the included angle</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sine-law.html" target="MathIsFun">The Law of Sines</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-area-triangle-without-right-angle.html" target="MathIsFun">Area of Triangles</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the solution(s) of triangles from the SSA situation (ambiguous case)</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-ssa-triangles.html" target="MathIsFun">Solving SSA Triangles</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the angle sum and difference formulas for trigonometric functions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Apply the double-angle and half-angle formulas for trigonometric functions</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-congruent.html" target="MathIsFun">Congruent Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-congruent-finding.html" target="MathIsFun">How To Find if Triangles are Congruent</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about the sum of the measures of the angles of a triangle </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../proof180deg.html" target="MathIsFun">Triangles Contain 180 Degrees</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-interactive.html" target="MathIsFun">Interactive Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../triangle.html" target="MathIsFun">Triangles - Equilateral Isosceles and Scalene</a></div>
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|
<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the triangle inequality theorem</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/triangle-inequality-theorem.html" target="MathIsFun">Triangle Inequality Theorem Definition</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Determine either the longest side of a triangle given the three angle measures or the largest angle given the lengths of three sides of a triangle</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-cosine-law.html" target="MathIsFun">The Law of Cosines</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-sss-triangles.html" target="MathIsFun">Solving SSS Triangles</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply theorems about the centroid of a triangle, dividing each median into segments whose lengths are in the ratio 2:1</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/centroid.html" target="MathIsFun">Centroid and Center of Gravity</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangle-centers.html" target="MathIsFun">Triangle Centers</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Establish similarity of triangles, using the following theorems: AA, SAS, and SSS</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar.html" target="MathIsFun">Similar Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangles-similar-finding.html" target="MathIsFun">How To Find if Triangles are Similar</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Investigate, justify, and apply the Pythagorean theorem and its converse</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../right_angle_triangle.html" target="MathIsFun">Right-Angled Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/pythagorean-theorem-proof.html" target="MathIsFun">Pythagorean Theorem Proof</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../pythagoras.html" target="MathIsFun">Pythagoras Theorem</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../definitions/pythagoras-theorem.html" target="MathIsFun">Definition of Pythagoras Theorem</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/triangle-3-4-5.html" target="MathIsFun">3 4 5 Triangle</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../activity/walk-in-desert.html" target="MathIsFun">Activity: A Walk in the Desert</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Sketch and recognize the graphs of the functions y=sin(x), y=cos(x) and y=tan(x)</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sin-cos-tan-graphs.html" target="MathIsFun">Graphs of Sine Cosine and Tangent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-graph-exercise.html" target="MathIsFun">Sine Function - Graph Exercise</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometry.html" target="MathIsFun">Trigonometry</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Find the area of a triangle given the lengths of its three sides, using Heron's formula.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/herons-formula.html" target="MathIsFun">Heron's Formula</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Recognize that an AAA triangle is impossible to solve.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-aaa-triangles.html" target="MathIsFun">Solving AAA Triangles</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use the symmetric properties of an equilateral triangle to solve triangles by reflection.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-triangles-by-reflection.html" target="MathIsFun">Solving Triangles by Reflection</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Be familiar with the triangle identities that are true for all triangles: The Law of Sines, The Law of Cosines and the Law of Tangents. </div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangle-identities.html" target="MathIsFun">Triangle Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sine-law.html" target="MathIsFun">The Law of Sines</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-cosine-law.html" target="MathIsFun">The Law of Cosines</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know and apply the opposite angle identities: sin(-A) = -sin(A), cos(-A) = cos(A) and
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tan(-A) = -tan(A)
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</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Know how to find the values of sine, cosine and tangent in each of the four quadrants; including determining the correct sign.</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../sine-cosine-tangent.html" target="MathIsFun">Sine Cosine Tangent</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-four-quadrants.html" target="MathIsFun">Sine Cosine and Tangent in Four Quadrants</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../geometry/unit-circle.html" target="MathIsFun">Unit Circle</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve for an unknown side or angle, using the Law of Cosines</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangle-identities.html" target="MathIsFun">Triangle Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-cosine-law.html" target="MathIsFun">The Law of Cosines</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Solve a triangle using the Law of Sines and the Law of Cosines</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/triangle-identities.html" target="MathIsFun">Triangle Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-cosine-law.html" target="MathIsFun">The Law of Cosines</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-sine-law.html" target="MathIsFun">The Law of Sines</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-triangles.html" target="MathIsFun">Solving Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-aas-triangles.html" target="MathIsFun">Solving AAS Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-asa-triangles.html" target="MathIsFun">Solving ASA Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-sas-triangles.html" target="MathIsFun">Solving SAS Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-ssa-triangles.html" target="MathIsFun">Solving SSA Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-sss-triangles.html" target="MathIsFun">Solving SSS Triangles</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-solving-aaa-triangles.html" target="MathIsFun">Solving AAA Triangles</a></div>
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<div style="padding: 10px 8px 6px 8px; text-indent: -18px; margin-left: 18px;">☐ Use the magic hexagon to remember trigonometric identities</div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trig-magic-hexagon.html" target="MathIsFun">Magic Hexagon for Trig Identities</a></div>
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<div style="padding: 3px 1px 3px 35px;">☐ <a href="../algebra/trigonometric-identities.html" target="MathIsFun">Trigonometric Identities</a></div>
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<p> </p><!-- #EndEditable -->
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