#### 5.1: Number & Operation

5.1.1: Divide multi-digit numbers; solve real-world and mathematical problems using arithmetic.

5.1.1.1: Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.

5.1.1.2: Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.

5.1.1.3: Estimate solutions to arithmetic problems in order to assess the reasonableness of results of calculations.

5.1.1.4: Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multi-digit whole numbers. Use various strategies, including the use of a calculator and the inverse relationships between operations, to check for accuracy.

5.1.2: Read, write, represent and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations.

5.1.2.1: Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.

5.1.2.2: Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.

5.1.2.4: Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.

5.1.3: Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems.

5.1.3.1: Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

5.1.3.2: Model addition and subtraction of fractions and decimals using a variety of representations.

5.1.3.4: Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.

#### 5.2: Algebra

5.2.1: Recognize and represent patterns of change; use patterns, tables, graphs and rules to solve real-world and mathematical problems.

5.2.1.1: Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.

5.2.1.2: Use a rule or table to represent ordered pairs of positive integers and graph these ordered pairs on a coordinate system.

5.2.2: Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers.

5.2.2.1: Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.

#### 5.3: Geometry & Measurement

5.3.2: Determine the area of triangles and quadrilaterals; determine the surface area and volume of rectangular prisms in various contexts.

5.3.2.1: Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.

#### 5.4: Data Analysis

5.4.1: Display and interpret data; determine mean, median and range.

5.4.1.2: Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and decimals. Know how to create spreadsheet tables and graphs to display data.

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.