### MA 4.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### MA.4.1.1: Students will demonstrate, represent, and show relationships among fractions and decimals within the base-ten number system.

MA 4.1.1.a: Read, write, and demonstrate multiple equivalent representations for whole numbers up to one million and decimals to the hundredths, using objects, visual representations, standard form, word form, and expanded notation.

MA 4.1.1.b: Recognize a digit in one place represents ten times what it represents in the place to its right and 1/10 what it represents in the place to its left.

MA 4.1.1.c: Classify a number up to 100 as prime or composite.

MA 4.1.1.e: Determine factors of any whole number up to 100.

MA 4.1.1.f: Compare whole numbers up to one million and decimals through the hundredths place using >, <, and = symbols, and visual representations.

MA 4.1.1.g: Round a multi-digit whole number to any given place.

MA 4.1.1.h: Use decimal notation for fractions with denominators of 10 or 100.

MA 4.1.1.i: Generate and explain equivalent fractions by multiplying by an equivalent fraction of 1.

MA 4.1.1.j: Explain how to change a mixed number to a fraction and how to change a fraction to a mixed number.

MA 4.1.1.k: Compare and order fractions having unlike numerators and unlike denominators using visual representations (number line), comparison symbols and verbal reasoning (e.g., using benchmarks or common numerators or common denominators).

MA 4.1.1.l: Decompose a fraction into a sum of fractions with the same denominator in more than one way and record each decomposition with an equation and a visual representation.

#### MA 4.1.2: Students will demonstrate the meaning of addition and subtraction of whole numbers and fractions and compute accurately.

MA 4.1.2.a: Add and subtract multi-digit numbers using the standard algorithm.

MA 4.1.2.b: Multiply a four-digit whole number by a one-digit whole number.

MA 4.1.2.d: Divide up to a four-digit whole number by a one-digit divisor with and without a remainder.

MA 4.1.2.e: Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions with like denominators.

MA 4.1.2.f: Add and subtract fractions and mixed numbers with like denominators.

MA 4.1.2.g: Multiply a fraction by a whole number.

### MA 4.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### MA 4.2.1: Students will demonstrate, represent, and show relationships with expressions and equations.

MA 4.2.1.b: Generate and analyze a number or shape pattern to follow a given rule, such as y = 3x + 5 is a rule to describe a relationship between two variables and can be used to find a second number when a first number is given.

#### MA 4.2.2: Students will apply the operational properties when evaluating expressions and solving equations.

MA 4.2.2.a: Solve one- and two-step problems which use any or all of the four basic operations and include the use of a letter to represent the unknown quantity.

### MA 4.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### MA 4.3.1: Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 4.3.1.c: Identify and draw points, lines, line segments, rays, angles, parallel lines, perpendicular lines, and intersecting lines, and recognize them in two-dimensional figures.

MA 4.3.1.d: Classify two-dimensional shapes based on the presence or absence of parallel and perpendicular lines, or the presence or absence of specific angles.

MA 4.3.1.e: Identify right triangles.

MA 4.3.1.h: Recognize and draw lines of symmetry in two-dimensional shapes.

#### MA 4.3.3: Students will perform and compare measurements and apply formulas.

MA 4.3.3.a: Apply perimeter and area formulas for rectangles.

MA 4.3.3.c: Generate simple conversions from a larger unit to a smaller unit within the customary and metric systems of measurement.

Correlation last revised: 9/16/2020

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