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<title>Grade 4 Common Core Standards</title>
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<h1 align="center">Grade 4 Common Core Standards</h1><p align="center">Here are the <a href="core-index.html">Common Core Standards</a> for Grade 4, with links to resources that support them. We also encourage plenty of exercises and book work.</p><div class="corYrSubj">Grade 4 | Operations & Algebraic Thinking</div>
<div class="corTitle">Use the four operations with whole numbers to solve problems.</div>
<div class="corCore"><span class="corCode">4.OA.A.1</span><span class="corDescr">Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.</span></div><div class="corPages">
<div class="corPage"><a href="../mathtest.html">Test your Math</a></div>
<div class="corPage"><a href="../numbers/fix-equation.html">Fix the Equation</a></div>
<div class="corPage"><a href="../games/reaction-math.html">Play Reaction Math</a></div>
<div class="corPage"><a href="../games/speed-math.html">Play Speed Math Challenge</a></div>
<div class="corPage"><a href="../numbers/math-trainer-multiply.html">Math Trainer - Multiplication</a></div>
<div class="corPage"><a href="../tables.html">Multiplication - Times Tables</a></div>
<div class="corPage"><a href="../worksheets/multiplication.html">Multiplication Math Worksheets</a></div>
<div class="corPage"><a href="../multiplication-tips-tricks.html">Multiplication Tips and Tricks</a></div>
<div class="corPage"><a href="../multiplication-table-small.html">Printable Multiplication Table - Small Size</a></div>
<div class="corPage"><a href="../associative-commutative-distributive.html">Commutative Associative and Distributive Laws</a></div>
<div class="corPage"><a href="../games/mathionaire-multiplication-quiz.html">Who Wants to be a Mathionaire - Multiplication Quiz</a></div>
<div class="corPage"><a href="../timestable.html">Test your Multiplication - Times Tables From 2 to 15</a></div></div>
<div class="corCore"><span class="corCode">4.OA.A.2</span><span class="corDescr">Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. </span></div><div class="corPages">
<div class="corPage"><a href="../algebra/open-sentences.html">Open Sentences</a></div>
<div class="corPage"><a href="../algebra/equations-solving.html">Solving Equations</a></div>
<div class="corPage"><a href="../algebra/introduction.html">Introduction to Algebra</a></div>
<div class="corPage"><a href="../algebra/add-subtract-balance.html">Balance when Adding and Subtracting</a></div>
<div class="corPage"><a href="../algebra/introduction-multiply.html">Algebra Introduction: Multiplication</a></div></div>
<div class="corCore"><span class="corCode">4.OA.A.3</span><span class="corDescr">Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.</span></div><div class="corPages">
<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
<div class="corPage"><a href="../algebra/equations-solving.html">Solving Equations</a></div>
<div class="corPage"><a href="../algebra/introduction.html">Introduction to Algebra</a></div>
<div class="corPage"><a href="../algebra/add-subtract-balance.html">Balance when Adding and Subtracting</a></div>
<div class="corPage"><a href="../algebra/introduction-multiply.html">Algebra Introduction: Multiplication</a></div></div>
<div class="corTitle">Gain familiarity with factors and multiples.</div>
<div class="corCore"><span class="corCode">4.OA.B.4</span><span class="corDescr">Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.</span></div><div class="corPages">
<div class="corPage"><a href="../divisibility-rules.html">Divisibility Rules</a></div>
<div class="corPage"><a href="../prime-factorization.html">Prime Factorization</a></div>
<div class="corPage"><a href="../numbers/factors-multiples.html">Factors and Multiples</a></div>
<div class="corPage"><a href="../numbers/factors-all-tool.html">All Factors of a Number</a></div>
<div class="corPage"><a href="../prime-composite-number.html">Prime and Composite Numbers</a></div>
<div class="corPage"><a href="../numbers/prime-factorization-tool.html">Prime Factorization Calculator</a></div>
<div class="corPage"><a href="../numbers/fundamental-theorem-arithmetic.html">Fundamental Theorem of Arithmetic</a></div>
<div class="corPage"><a href="../prime_numbers.html">Prime Numbers Chart and Calculator</a></div></div>
<div class="corTitle">Generate and analyze patterns.</div>
<div class="corCore"><span class="corCode">4.OA.C.5</span><span class="corDescr">Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule &quot;Add 3&quot; and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way. </span></div><div class="corPages">
<div class="corPage"><a href="../algebra/patterns.html">Patterns</a></div>
<div class="corPage"><a href="../algebra/sequences-series.html">Sequences</a></div>
<div class="corPage"><a href="../activity/mandala.html">Activity: Make a Mandala</a></div>
<div class="corPage"><a href="../algebra/pattern-match-colors.html">Play Pattern Match - Colors</a></div>
<div class="corPage"><a href="../algebra/pattern-match-shapes.html">Play Pattern Match - Shapes</a></div>
<div class="corPage"><a href="../your-own-number-patterns.html">Make your own Number Patterns</a></div>
<div class="corPage"><a href="../tables.html">Multiplication - Times Tables</a></div></div><div class="corYrSubj">Grade 4 | Number & Operations in Base Ten</div>
<div class="corTitle">Generalize place value understanding for multi-digit whole numbers.</div>
<div class="corCore"><span class="corCode">4.NBT.A.1</span><span class="corDescr">Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700/70 = 10 by applying concepts of place value and division. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)</span></div><div class="corPages"></div>
<div class="corCore"><span class="corCode">4.NBT.A.2</span><span class="corDescr">Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using &gt;, =, and &lt; symbols to record the results of comparisons. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)</span></div><div class="corPages">
<div class="corPage"><a href="../numbers/ordering-game.html">Ordering Game</a></div>
<div class="corPage"><a href="../ordering-numbers.html">Ordering Numbers</a></div>
<div class="corPage"><a href="../games/in-order.html">Play In Order Memory Game</a></div></div>
<div class="corCore"><span class="corCode">4.NBT.A.3</span><span class="corDescr">Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)</span></div><div class="corPages">
<div class="corPage"><a href="../rounding-numbers.html">Rounding Numbers</a></div></div>
<div class="corTitle">Use place value understanding and properties of operations to perform multi-digit arithmetic.</div>
<div class="corCore"><span class="corCode">4.NBT.B.4</span><span class="corDescr">Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.) </span></div><div class="corPages">
<div class="corPage"><a href="../numbers/addition.html">Addition</a></div>
<div class="corPage"><a href="../numbers/subtraction.html">Subtraction</a></div>
<div class="corPage"><a href="../numbers/subtraction-quick.html">Quick Subtraction</a></div>
<div class="corPage"><a href="../numbers/addition-column.html">Addition in Columns</a></div>
<div class="corPage"><a href="../numbers/subtraction-by-addition.html">Subtraction by Addition</a></div>
<div class="corPage"><a href="../worksheets/addition.html">Addition Math Worksheets</a></div>
<div class="corPage"><a href="../numbers/addition-tips-tricks.html">Addition Tips and Tricks</a></div>
<div class="corPage"><a href="../numbers/subtraction-regrouping.html">Subtraction by Regrouping</a></div>
<div class="corPage"><a href="../worksheets/subtraction.html">Subtraction Math Worksheets</a></div></div>
<div class="corCore"><span class="corCode">4.NBT.B.5</span><span class="corDescr">Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.) </span></div><div class="corPages">
<div class="corPage"><a href="../mathtest.html">Test your Math</a></div>
<div class="corPage"><a href="../numbers/fix-equation.html">Fix the Equation</a></div>
<div class="corPage"><a href="../games/reaction-math.html">Play Reaction Math</a></div>
<div class="corPage"><a href="../numbers/multiplication-long.html">Long Multiplication</a></div>
<div class="corPage"><a href="../games/speed-math.html">Play Speed Math Challenge</a></div>
<div class="corPage"><a href="../numbers/math-trainer-multiply.html">Math Trainer - Multiplication</a></div>
<div class="corPage"><a href="../tables.html">Multiplication - Times Tables</a></div>
<div class="corPage"><a href="../worksheets/long-multiplication.html">Long Multiplication Worksheets</a></div>
<div class="corPage"><a href="../worksheets/multiplication.html">Multiplication Math Worksheets</a></div>
<div class="corPage"><a href="../multiplication-tips-tricks.html">Multiplication Tips and Tricks</a></div>
<div class="corPage"><a href="../multiplication-table-small.html">Printable Multiplication Table - Small Size</a></div>
<div class="corPage"><a href="../timestable.html">Test your Multiplication - Times Tables From 2 to 15</a></div></div>
<div class="corCore"><span class="corCode">4.NBT.B.6</span><span class="corDescr">Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.) </span></div><div class="corPages">
<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
<div class="corPage"><a href="../numbers/division.html">Division</a></div>
<div class="corPage"><a href="../long_division.html">Long Division</a></div>
<div class="corPage"><a href="../mathtest.html">Test your Math</a></div>
<div class="corPage"><a href="../numbers/fix-equation.html">Fix the Equation</a></div>
<div class="corPage"><a href="../numbers/division-remainder.html">Division and Remainders</a></div>
<div class="corPage"><a href="../worksheets/division.html">Division Math Worksheets</a></div>
<div class="corPage"><a href="../worksheets/long-division.html">Long Division Worksheets</a></div>
<div class="corPage"><a href="../long_division2.html">Long Division With Remainders</a></div>
<div class="corPage"><a href="../long-division-organised.html">Long Division - Organized Guessing</a></div></div><div class="corYrSubj">Grade 4 | Number & Operations—Fractions</div>
<div class="corTitle">Extend understanding of fraction equivalence and ordering.</div>
<div class="corCore"><span class="corCode">4.NF.A.1</span><span class="corDescr">Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)</span></div><div class="corPages">
<div class="corPage"><a href="../fractions.html">Fractions</a></div>
<div class="corPage"><a href="../worksheets/fractions.html">Fraction Worksheets</a></div>
<div class="corPage"><a href="../equivalent_fractions.html">Equivalent Fractions</a></div>
<div class="corPage"><a href="../numbers/fraction-number-line.html">Fraction Number Line</a></div>
<div class="corPage"><a href="../simplifying-fractions.html">Simplifying Fractions</a></div></div>
<div class="corCore"><span class="corCode">4.NF.A.2</span><span class="corDescr">Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols &gt;, =, or &lt;, and justify the conclusions, e.g., by using a visual fraction model. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)</span></div><div class="corPages">
<div class="corPage"><a href="../numbers/ordering-game.html">Ordering Game</a></div>
<div class="corPage"><a href="../algebra/compare-numbers-fractions.html">Compare Fractions</a></div>
<div class="corPage"><a href="../algebra/compare-numbers.html">Comparing Numbers</a></div>
<div class="corPage"><a href="../numbers/common-denominator.html">Common Denominator</a></div>
<div class="corPage"><a href="../comparing-fractions.html">Comparing Fractions</a></div>
<div class="corPage"><a href="../numbers/fraction-number-line.html">Fraction Number Line</a></div>
<div class="corPage"><a href="../algebra/compare-numbers-unit-fractions.html">Compare Unit Fractions</a></div>
<div class="corPage"><a href="../equal-less-greater.html">Equal Less and Greater Than Symbols</a></div></div>
<div class="corTitle">Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.</div>
<div class="corCore"><span class="corCode">4.NF.B.3</span><span class="corDescr">Understand a fraction a/b with a &gt; 1 as a sum of fractions 1/b. <br />
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.<br />
b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.<br />
c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.<br />
d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.</span></div><div class="corPages">
<div class="corPage"><a href="../fractions.html">Fractions</a></div>
<div class="corPage"><a href="../mixed-fractions.html">Mixed Fractions</a></div>
<div class="corPage"><a href="../fractions_addition.html">Adding Fractions</a></div>
<div class="corPage"><a href="../proper-fractions.html">Proper Fractions</a></div>
<div class="corPage"><a href="../numbers/common-denominator.html">Common Denominator</a></div>
<div class="corPage"><a href="../improper-fractions.html">Improper Fractions</a></div>
<div class="corPage"><a href="../worksheets/fractions.html">Fraction Worksheets</a></div>
<div class="corPage"><a href="../fractions_subtraction.html">Subtracting Fractions</a></div>
<div class="corPage"><a href="../numbers/fractions-mixed-addition.html">Adding and Subtracting Mixed Fractions</a></div></div>
<div class="corCore"><span class="corCode">4.NF.B.4</span><span class="corDescr">Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.<br />
a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). <br />
b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.)<br />
c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?</span></div><div class="corPages">
<div class="corPage"><a href="../fractions_multiplication.html">Multiplying Fractions</a></div></div>
<div class="corTitle">Understand decimal notation for fractions, and compare decimal fractions.</div>
<div class="corCore"><span class="corCode">4.NF.C.5</span><span class="corDescr">Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100 and add 3/10 + 4/100 = 34/100. (Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.) (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)</span></div><div class="corPages">
<div class="corPage"><a href="../fractions.html">Fractions</a></div>
<div class="corPage"><a href="../fractions_addition.html">Adding Fractions</a></div>
<div class="corPage"><a href="../numbers/common-denominator.html">Common Denominator</a></div>
<div class="corPage"><a href="../equivalent_fractions.html">Equivalent Fractions</a></div>
<div class="corPage"><a href="../numbers/fraction-number-line.html">Fraction Number Line</a></div>
<div class="corPage"><a href="../simplifying-fractions.html">Simplifying Fractions</a></div>
<div class="corPage"><a href="../fractions_subtraction.html">Subtracting Fractions</a></div></div>
<div class="corCore"><span class="corCode">4.NF.C.6</span><span class="corDescr">Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)</span></div><div class="corPages">
<div class="corPage"><a href="../decimals.html">Decimals</a></div>
<div class="corPage"><a href="../numbers/fraction-decimal-chart.html">Fraction/Decimal Chart</a></div>
<div class="corPage"><a href="../worksheets/decimal-fractions.html">Decimal Fraction Worksheets</a></div>
<div class="corPage"><a href="../converting-decimals-fractions.html">Convert Decimals to Fractions</a></div>
<div class="corPage"><a href="../converting-decimals-fractions-solver.html">Decimal to Fraction Calculator</a></div>
<div class="corPage"><a href="../decimal-fraction-percentage.html">Decimals Fractions and Percentages</a></div></div>
<div class="corCore"><span class="corCode">4.NF.C.7</span><span class="corDescr">Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols &gt;, =, or &lt;, and justify the conclusions, e.g., by using a visual model. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)</span></div><div class="corPages">
<div class="corPage"><a href="../decimals.html">Decimals</a></div>
<div class="corPage"><a href="../numbers/ordering-game.html">Ordering Game</a></div>
<div class="corPage"><a href="../algebra/compare-numbers.html">Comparing Numbers</a></div>
<div class="corPage"><a href="../ordering_decimals.html">Ordering Decimals</a></div>
<div class="corPage"><a href="../worksheets/decimals.html">Decimal Worksheets</a></div>
<div class="corPage"><a href="../algebra/inequality.html">Introduction to Inequalities</a></div>
<div class="corPage"><a href="../algebra/compare-numbers-decimals-1.html">Compare Decimal Numbers 0 to 1</a></div>
<div class="corPage"><a href="../equal-less-greater.html">Equal Less and Greater Than Symbols</a></div></div><div class="corYrSubj">Grade 4 | Measurement & Data</div>
<div class="corTitle">Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.</div>
<div class="corCore"><span class="corCode">4.MD.A.1</span><span class="corDescr">Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example: Know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), .... </span></div><div class="corPages">
<div class="corPage"><a href="../measure/metric-mass.html">Metric Mass</a></div>
<div class="corPage"><a href="../measure/metric-length.html">Metric Length</a></div>
<div class="corPage"><a href="../measure/metric-volume.html">Metric Volume</a></div>
<div class="corPage"><a href="../measure/measuring-cups.html">Measuring Cups</a></div>
<div class="corPage"><a href="../unit-conversion-tool.html">Unit Converter</a></div>
<div class="corPage"><a href="../measure/us-standard-mass.html">US Standard Mass</a></div>
<div class="corPage"><a href="../measure/us-standard-volume.html">US Standard Volume</a></div>
<div class="corPage"><a href="../measure/us-standard-length.html">US Standard Lengths</a></div>
<div class="corPage"><a href="../measure/metric-system-introduction.html">Measuring Metrically with Maggie</a></div>
<div class="corPage"><a href="../measure/us-standard-units-introduction.html">Introduction to US Standard Units</a></div>
<div class="corPage"><a href="../measure/unit-conversion-method.html">How to Safely Convert From One Unit to Another</a></div></div>
<div class="corCore"><span class="corCode">4.MD.A.2</span><span class="corDescr">Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.</span></div><div class="corPages">
<div class="corPage"><a href="../numbers/inverse.html">Inverse</a></div>
<div class="corPage"><a href="../algebra/open-sentences.html">Open Sentences</a></div>
<div class="corPage"><a href="../unit-conversion-tool.html">Unit Converter</a></div>
<div class="corPage"><a href="../algebra/introduction.html">Introduction to Algebra</a></div>
<div class="corPage"><a href="../algebra/add-subtract-balance.html">Balance when Adding and Subtracting</a></div>
<div class="corPage"><a href="../algebra/introduction-multiply.html">Algebra Introduction: Multiplication</a></div>
<div class="corPage"><a href="../measure/unit-conversion-method.html">How to Safely Convert From One Unit to Another</a></div></div>
<div class="corCore"><span class="corCode">4.MD.A.3</span><span class="corDescr">Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/perimeter.html">Perimeter</a></div>
<div class="corPage"><a href="../geometry/area.html">What is Area?</a></div>
<div class="corPage"><a href="../area-calculation-tool.html">Area Calculator</a></div>
<div class="corPage"><a href="../activity/garden-area.html">Activity: Garden Area</a></div>
<div class="corPage"><a href="../area.html">Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector</a></div></div>
<div class="corTitle">Represent and interpret data.</div>
<div class="corCore"><span class="corCode">4.MD.B.4</span><span class="corDescr">Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.</span></div><div class="corPages">
<div class="corPage"><a href="../data/data-graph.html">Data Graphs</a></div>
<div class="corPage"><a href="../data/line-graphs.html">Line Graphs</a></div>
<div class="corPage"><a href="../fractions_addition.html">Adding Fractions</a></div>
<div class="corPage"><a href="../numbers/common-denominator.html">Common Denominator</a></div>
<div class="corPage"><a href="../worksheets/fractions.html">Fraction Worksheets</a></div>
<div class="corPage"><a href="../fractions_subtraction.html">Subtracting Fractions</a></div>
<div class="corPage"><a href="../data/survey-results.html">Showing the Results of a Survey</a></div></div>
<div class="corTitle">Geometric measurement: understand concepts of angle and measure angles.</div>
<div class="corCore"><span class="corCode">4.MD.C.5</span><span class="corDescr">Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:<br />
a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a &quot;one-degree angle,&quot; and can be used to measure angles.<br />
b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/degrees.html">Degrees</a></div>
<div class="corPage"><a href="../rightangle.html">Right Angles</a></div>
<div class="corPage"><a href="../geometry/adjacent-angles.html">Adjacent Angles</a></div>
<div class="corPage"><a href="../geometry/straight-angle.html">Straight Angles</a></div>
<div class="corPage"><a href="../geometry/line.html">Line in Geometry</a></div>
<div class="corPage"><a href="../geometry/supplementary-angles.html">Supplementary Angles</a></div>
<div class="corPage"><a href="../angles.html">Angles - Acute Obtuse Straight and Right</a></div></div>
<div class="corCore"><span class="corCode">4.MD.C.6</span><span class="corDescr">Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/degrees.html">Degrees</a></div>
<div class="corPage"><a href="../data/pie-charts.html">Pie Chart</a></div>
<div class="corPage"><a href="../geometry/protractor-using.html">Using a Protractor</a></div>
<div class="corPage"><a href="../activity/how-high.html">Activity: How High?</a></div></div>
<div class="corCore"><span class="corCode">4.MD.C.7</span><span class="corDescr">Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/degrees.html">Degrees</a></div>
<div class="corPage"><a href="../rightangle.html">Right Angles</a></div>
<div class="corPage"><a href="../geometry/adjacent-angles.html">Adjacent Angles</a></div>
<div class="corPage"><a href="../geometry/straight-angle.html">Straight Angles</a></div>
<div class="corPage"><a href="../geometry/supplementary-angles.html">Supplementary Angles</a></div>
<div class="corPage"><a href="../angle360.html">Angles Around a Point Add to 360</a></div>
<div class="corPage"><a href="../angle180.html">Angles on a Straight Line Add to 180</a></div>
<div class="corPage"><a href="../activity/pi-approximation.html">Activity: Find an Approximate Value For Pi</a></div></div><div class="corYrSubj">Grade 4 | Geometry</div>
<div class="corTitle">Draw and identify lines and angles, and classify shapes by properties of their lines and angles.</div>
<div class="corCore"><span class="corCode">4.G.A.1</span><span class="corDescr">Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/point.html">Point</a></div>
<div class="corPage"><a href="../acute.html">Acute Angles</a></div>
<div class="corPage"><a href="../rightangle.html">Right Angles</a></div>
<div class="corPage"><a href="../geometry/transversal.html">Transversals</a></div>
<div class="corPage"><a href="../reflex.html">Reflex Angles</a></div>
<div class="corPage"><a href="../geometry/adjacent-angles.html">Adjacent Angles</a></div>
<div class="corPage"><a href="../geometry/straight-angle.html">Straight Angles</a></div>
<div class="corPage"><a href="../geometry/line.html">Line in Geometry</a></div>
<div class="corPage"><a href="../obtuse.html">Obtuse Angle Examples</a></div>
<div class="corPage"><a href="../perpendicular-parallel.html">Perpendicular and Parallel</a></div>
<div class="corPage"><a href="../geometry/parallel-lines.html">Parallel Lines and Pairs of Angles</a></div>
<div class="corPage"><a href="../angle180.html">Angles on a Straight Line Add to 180</a></div>
<div class="corPage"><a href="../angles.html">Angles - Acute Obtuse Straight and Right</a></div></div>
<div class="corCore"><span class="corCode">4.G.A.2</span><span class="corDescr">Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/hexagon.html">Hexagon</a></div>
<div class="corPage"><a href="../geometry/pentagon.html">Pentagon</a></div>
<div class="corPage"><a href="../geometry/polygons.html">Polygons</a></div>
<div class="corPage"><a href="../rightangle.html">Right Angles</a></div>
<div class="corPage"><a href="../geometry/triangles-interactive.html">Interactive Triangles</a></div>
<div class="corPage"><a href="../right_angle_triangle.html">Right-Angled Triangles</a></div>
<div class="corPage"><a href="../geometry/quadrilaterals-interactive.html">Interactive Quadrilaterals</a></div>
<div class="corPage"><a href="../games/math-match-game.html">Play Math Match Memory Game</a></div>
<div class="corPage"><a href="../quadrilaterals.html">Quadrilaterals - Square Rectangle Rhombus Trapezoid Parallelogram</a></div></div>
<div class="corCore"><span class="corCode">4.G.A.3</span><span class="corDescr">Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.</span></div><div class="corPages">
<div class="corPage"><a href="../geometry/symmetry-artist.html">Symmetry Artist</a></div>
<div class="corPage"><a href="../geometry/symmetry-reflection.html">Reflection Symmetry</a></div>
<div class="corPage"><a href="../geometry/reflection.html">Geometry - Reflection</a></div>
<div class="corPage"><a href="../puzzles/jigsaw-puzzles-index.html">Symmetry Jigsaw Puzzles</a></div>
<div class="corPage"><a href="../activity/shapes-symmetry.html">Activity: Symmetry of Shapes</a></div></div><p>&nbsp;</p><!-- #EndEditable -->
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