Gizmos for Colorado - Mathematics: 4th Grade (2020 Academic Standards adopted 2018)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

1: : Number and Quantity

MA.4.NBT.A: : Number & Operations in Base Ten: Generalize place value understanding for multi-digit whole numbers.

MA.4.NBT.A.1: : Students can: Explain that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

MA.4.NBT.A.2: : Students can: 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

MA.4.NBT.A.3: : Students can: Use place value understanding to round multi-digit whole numbers to any place.

MA.4.NBT.B: : Number & Operations in Base Ten: Use place value understanding and properties of operations to perform multi-digit arithmetic.

MA.4.NBT.B.4: : Students can: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

MA.4.NBT.B.5: : Students can: 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.

MA.4.NBT.B.6: : Students can: 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.

MA.4.NF.A: : Number & Operations-Fractions: Extend understanding of fraction equivalence and ordering.

MA.4.NF.A.1: : Students can: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × 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.

MA.4.NF.A.2: : Students can: 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 >, =, or

MA.4.NF.B: : Number & Operations-Fractions: Build fractions from unit fractions.

MA.4.NF.B.3: : Students can: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

MA.4.NF.B.3.a: : Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

MA.4.NF.B.3.b: : Decompose a fraction into a sum of fractions with like denominators in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.

MA.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.

MA.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 visual fraction models and equations to represent the problem.

MA.4.NF.B.4: : Students can: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

MA.4.NF.B.4.a: : Understand a fraction a/b as a multiple of 1/b.

MA.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.

MA.4.NF.C: : Number & Operations-Fractions: Use decimal notation for fractions, and compare decimal fractions.

MA.4.NF.C.5: : Students can: 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. (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.)

MA.4.NF.C.6: : Students can: Use decimal notation for fractions with denominators 10 or 100.

MA.4.NF.C.7: : Students can: 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

2: : Algebra and Functions

MA.4.OA.A: : Operations & Algebraic Thinking: Use the four operations with whole numbers to solve problems.

MA.4.OA.A.1: : Students can: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 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.

MA.4.OA.A.2: : Students can: 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.

MA.4.OA.A.3: : Students can: 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.

MA.4.OA.B: : Operations & Algebraic Thinking: Gain familiarity with factors and multiples.

MA.4.OA.B.4: : Students can: 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.

MA.4.OA.C: : Operations & Algebraic Thinking: Generate and analyze patterns.

MA.4.OA.C.5: : Students can: 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.

3: : Data, Statistics, and Probability

MA.4.MD.A: : Measurement & Data: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

MA.4.MD.A.1: : Students can: 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.

MA.4.MD.A.2: : Students can: 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.

MA.4.MD.A.3: : Students can: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems.

MA.4.MD.C: : Measurement & Data: Geometric measurement: Understand concepts of angle and measure angles.

MA.4.MD.C.7: : Students can: 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.

4: : Geometry

MA.4.G.A: : Geometry: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

MA.4.G.A.1: : Students can: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

MA.4.G.A.2: : Students can: 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.

MA.4.G.A.3: : Students can: 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.

Correlation last revised: 5/31/2022

Colorado - Mathematics: 4th Grade

2020 Academic Standards | Adopted: 2018

1: : Number and Quantity

2: : Algebra and Functions

3: : Data, Statistics, and Probability

4: : Geometry