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MA.4.G.Geometry
Geometry
4.G.A. Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
4.G.A.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Quiz, Flash Cards, Worksheet, Game & Study GuideAngles
Quiz, Flash Cards, Worksheet, Game & Study GuideLines and Angles
4.G.A.2. 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.
4.G.A.3. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideSymmetry
MA.4.MD.Measurement and Data
Measurement and Data
4.MD.A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
4.MD.A.1. 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 equi
4.MD.A.3. 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
Quiz, Flash Cards, Worksheet, Game & Study GuideArea
4.MD.C. Geometric measurement: Understand concepts of angle and measure angles.
4.MD.C.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
4.MD.C.5.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 i
Quiz, Flash Cards, Worksheet, Game & Study GuideAngles
Quiz, Flash Cards, Worksheet, Game & Study GuideLines and Angles
MA.4.NBT.Number and Operations in Base Ten
Number and Operations in Base Ten
4.NBT.A. Generalize place value understanding for multi-digit whole numbers less than or equal to 1,000,000.
4.NBT.A.1. Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
4.NBT.A.2. 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 >, =, and < symbols to record the results of comparisons.
4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers less than or equal to 1,000,000.
4.NBT.B.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Quiz, Flash Cards, Worksheet, Game & Study GuideRegrouping
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
4.NBT.B.5. 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 ar
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
4.NBT.B.6. 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
4.NF.A. Extend understanding of fraction equivalence and ordering for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
4.NF.A.1. 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 numbers and sizes of the parts differ even though the two fractions themselves are the same size. Use this principle to recog
4.NF.A.2. 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
4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
4.NF.B.3. Understand a fraction a∕b with a > 1 as a sum of fractions 1∕b.
4.NF.B.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (The whole can be a set of objects.)
4.NF.B.3.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 drawings or visual fraction models. Examples: 3∕8 = 1∕8 + 1∕8 + 1∕8; 3∕8 = 1∕8
4.NF.B.3.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.
4.NF.B.3.d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using drawings or visual fraction models and equations to represent the problem.
4.NF.B.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
4.NF.B.4.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).
4.NF.B.4.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) = (
4.NF.B.4.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 p
4.NF.C. Understand decimal notation for fractions, and compare decimal fractions.
4.NF.C.5. 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.
4.NF.C.6. Use decimal notation to represent 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.
4.NF.C.7. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.
4.OA.A. Use the four operations with whole numbers to solve problems.
4.OA.A.1. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
4.OA.A.2. 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.
Quiz, Flash Cards, Worksheet, Game & Study GuideProblem Solving
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
4.OA.A.3. Solve multi-step 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
4.OA.A.3.a. Know multiplication facts and related division facts through 12 x 12.
Quiz, Flash Cards, Worksheet, Game & Study GuideDivision
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
4.OA.B. Gain familiarity with factors and multiples.
4.OA.B.4. 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
Quiz, Flash Cards, Worksheet, Game & Study GuideCommon Factors
4.OA.C. Generate and analyze patterns.
4.OA.C.5. 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 “Add 3” and the starting number 1, generate terms in the resulting sequence and
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
MA.MP.Mathematical Practice
Mathematical Practice
MP.1. Make sense of problems and persevere in solving them.