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AZ.4.G.Geometry (G)
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 Guide 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 (e.g., understand 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 Guide Symmetry
AZ.4.MD.Measurement and Data (MD)
Measurement and Data (MD)
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 which could include 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 and in a small
4.MD.A.3. Apply the area and perimeter formulas for rectangles in mathematical problems and problems in real-world contexts including problems with unknown side lengths.Quiz, Flash Cards, Worksheet, Game & Study Guide Area
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 iQuiz, Flash Cards, Worksheet, Game & Study Guide Angles
4.MD.C.6. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.Quiz, Flash Cards, Worksheet, Game & Study Guide Angles
AZ.4.NBT.Number and Operations in Base Ten (NBT)
Number and Operations in Base Ten (NBT)
4.NBT.A. Generalize place value understanding for multi-digit whole numbers.4.NBT.A.1. Apply concepts of place value, multiplication, and division to understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
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.Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra Quiz, Flash Cards, Worksheet, Game & Study Guide Place Value
4.NBT.A.3. Use place value understanding to round multi-digit whole numbers to any place.Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding
4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic.4.NBT.B.4. Fluently add and subtract multi-digit whole numbers using a standard algorithm.Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping
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 arQuiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even
4.NBT.B.6. Demonstrate understanding of division by finding whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division Quiz, Flash Cards, Worksheet, Game & Study Guide Division
AZ.4.NF.Number and Operations – Fractions (NF)
Number and Operations – Fractions (NF)
4.NF.A. Extend understanding of fraction equivalence and ordering.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 number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to understQuiz, Flash Cards, Worksheet, Game & Study Guide Fractions
4.NF.A.2. Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators and by comparing to a benchmark fraction).4.NF.A.2.a. Understand that comparisons are valid only when the two fractions refer to the same size whole.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
4.NF.A.2.b. Record the results of comparisons with symbols >, =, or <, and justify the conclusions.Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions
4.NF.B. Build fractions from unit fractions by applying and extending previous understanding of operations on whole numbers.4.NF.B.3. Understand a fraction a/b with a > 1 as a sum of unit fractions (1/b).4.NF.B.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line
4.NF.B.3.b. Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8+1/8; 3/8 = 2/8 + 1/8; 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).
4.NF.B.3.c. Add and subtract mixed numbers with like denominators (e.g., by using properties of operations and the relationship between addition and subtraction and/or by replacing each mixed number with an equivalent fraction).
4.NF.B.3.d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.
4.NF.B.4. Build fractions from unit fractions.4.NF.B.4.a. Understand a fraction a/b as a multiple of a unit fraction 1/b. In general, a/b = a x 1/b.Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line Quiz, Flash Cards, Worksheet, Game & Study Guide Probability Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
4.NF.B.4.b. Understand a multiple of a/b as a multiple of a unit fraction 1/b, and use this understanding to multiply a whole number by a fraction. In general, n x a/b = (n x a)/b
4.NF.B.4.c. Solve word problems involving multiplication of a whole number by a fraction. 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
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 (tenths) and 100 (hundredths). For example, express 3/10 as 30/100, and ad 3/10 + 4/100 = 34
4.NF.C.6. Use decimal notation for fractions with denominators 10 (tenths) or 100 (hundredths), and locate these decimals on a number line.
4.NF.C.7. Compare two decimals to hundredths by reasoning about their size. Understand that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <.
AZ.4.OA.Operations and Algebraic Thinking (OA)
Operations and Algebraic Thinking (OA)
4.OA.A. Use the four operations with whole numbers to solve problems.4.OA.A.1. Represent verbal statements of multiplicative comparisons as multiplication equations. Interpret a multiplication equation as a comparison (e.g., 35 is the number of objects in 5 groups, each containing 7 objects, and is also the number of objects in 7 gr
4.OA.A.2. Multiply or divide within 1000 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 comparis
4.OA.A.3. Solve multistep word problems using the four operations, including problems in which remainders must be interpreted. Understand how the remainder is a fraction of the divisor. Represent these problems using equations with a letter standing for the unknown
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 to 100 and understand that a whole number is a multiple of each of its factors.
4.OA.C. Generate and analyze patterns.4.OA.C.5. Generate a number pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself and explain the pattern informally (e.g., given the rule “add 3” and the starting number 1, generate terms in the resuQuiz, Flash Cards, Worksheet, Game & Study Guide Patterns Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns
AZ.MP.Standards for Mathematical Practice
Standards for Mathematical Practice
MP.1. Make sense of problems and persevere in solving them.