### A: Students use numbers in everyday and mathematical contexts to quantify or describe phenomena, develop concepts of operations with different types of numbers, use the structure and properties of numbers with operations to solve problems, and perform mathematical computations. Students develop number sense related to magnitude, estimation, and the effects of mathematical operations on different types of numbers. It is expected that students use numbers flexibly, using forms of numbers that best match a situation. Students compute efficiently and accurately. Estimation should always be used when computing with numbers or solving problems.

#### A.1: Students understand and use number notation and place value to 10,000 in numerals.

A.1.b: Recognize the place values of digits in numbers up to 10,000.

A.1.c: Compare and order numbers with up to four digits.

#### A.2: Students understand and use procedures to add and subtract whole numbers with up to four digits.

A.2.a: Display an understanding of the base ten place value system.

A.2.b: Use an operation appropriate to a given situation.

#### A.3: Students understand and apply meanings of multiplication and division.

A.3.a: Multiply single-digit numbers and divide using single-digit divisors and up to two-digit dividends (division facts only, but remainders may be present).

A.3.c: Recognize and use models for multiplication and division situations.

A.3.d: Use multiple strategies for multiplication and division.

#### A.4: Students recognize, name, compare, illustrate, and use simple fractions.

A.4.a: Recognize, name, and illustrate fractions with denominators from two to ten.

A.4.b: Recognize, name, and illustrate parts of a whole.

A.4.c: Compare and order fractions with like numerators or with like denominators.

### C: Students use measurement and observation to describe objects based on their sizes and shapes; model or construct two-dimensional and three-dimensional objects; solve problems involving geometric properties; compute areas and volumes based on object properties and dimensions; and perform transformations on geometric figures. When making or calculating measures students use estimation to check the reasonableness of results.

#### C.2: Students understand how to find the distance around a figure.

C.2.a: Calculate and measure the distance around a figure whose perimeter is comprised of straight edges.

### D: Students use symbols to represent or model quantities, patterns, and relationships and use symbolic manipulation to evaluate expressions and solve equations. Students solve problems using symbols, tables, graphs, and verbal rules choosing the most effective representation and converting among representations.

#### D.3: Students understand arithmetic relationships among positive whole numbers.

D.3.a: Use the inverse relationships between addition and subtraction and between multiplication and division and the commutative laws of multiplication and addition to solve problems.

D.3.b: Be able to show that for whole numbers subtraction and division are not commutative and show that multiplication and addition are commutative.

#### D.4: Students create, describe, explain and extend patterns with numbers and geometric objects.

Correlation last revised: 5/11/2018

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