MA.5.NSO: Number Sense and Operations

MA.5.NSO.1: Understand the place value of multi-digit numbers with decimals to the thousandths place.

MA.5.NSO.1.1: Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA.5.NSO.1.2: Read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

MA.5.NSO.1.3: Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

MA.5.NSO.1.4: Plot, order and compare multi-digit numbers with decimals up to the thousandths.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

MA.5.NSO.2: Add, subtract, multiply and divide multi-digit numbers.

MA.5.NSO.2.1: Multiply multi-digit whole numbers including using a standard algorithm with procedural fluency.

Chocomatic (Multiplication, Arrays, and Area)

MA.5.NSO.2.2: Divide multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency. Represent remainders as fractions.

No Alien Left Behind (Division with Remainders)

MA.5.NSO.2.3: Add and subtract multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.5.NSO.2.4: Explore the multiplication and division of multi-digit numbers with decimals to the hundredths using estimation, rounding and place value.

Multiplying Decimals (Area Model)
Multiplying with Decimals

MA.5.NSO.2.5: Multiply and divide a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.

Multiplying Decimals (Area Model)
Multiplying with Decimals

MA.5.FR: Fractions

MA.5.FR.1: Interpret a fraction as an answer to a division problem.

MA.5.FR.1.1: Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.

Dividing Fractions

MA.5.FR.2: Perform operations with fractions.

MA.5.FR.2.1: Add and subtract fractions with unlike denominators, including mixed numbers and fractions greater than 1, with procedural reliability.

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators

MA.5.FR.2.2: Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.

Multiplying Fractions
Multiplying Mixed Numbers

MA.5.FR.2.4: Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.

Dividing Fractions

MA.5.AR: Algebraic Reasoning

MA.5.AR.1: Solve problems involving the four operations with whole numbers and fractions.

MA.5.AR.1.1: Solve multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within the context.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.5.AR.1.2: Solve real-world problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1.

Adding Fractions (Fraction Tiles)
Fractions with Unlike Denominators
Multiplying Fractions

MA.5.AR.1.3: Solve real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Dividing Fractions

MA.5.AR.2: Demonstrate an understanding of equality, the order of operations and equivalent numerical expressions.

MA.5.AR.2.1: Translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions.

Using Algebraic Expressions

MA.5.AR.2.2: Evaluate multi-step numerical expressions using order of operations.

Order of Operations

MA.5.AR.2.3: Determine and explain whether an equation involving any of the four operations is true or false.

Equivalent Algebraic Expressions I

MA.5.AR.2.4: Given a mathematical or real-world context, write an equation involving any of the four operations to determine the unknown whole number with the unknown in any position.

Modeling One-Step Equations
Solving Equations on the Number Line

MA.5.AR.3: Analyze patterns and relationships between inputs and outputs.

MA.5.AR.3.1: Given a numerical pattern, identify and write a rule that can describe the pattern as an expression.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)

MA.5.AR.3.2: Given a rule for a numerical pattern, use a two-column table to record the inputs and outputs.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

MA.5.M: Measurement

MA.5.M.1: Convert measurement units to solve multi-step problems.

MA.5.M.1.1: Solve multi-step real-world problems that involve converting measurement units to equivalent measurements within a single system of measurement.

Unit Conversions

MA.5.M.2: Solve problems involving money.

MA.5.M.2.1: Solve multi-step real-world problems involving money using decimal notation.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.5.GR: Geometric Reasoning

MA.5.GR.1: Classify two-dimensional figures and three-dimensional figures based on defining attributes.

MA.5.GR.1.1: Classify triangles or quadrilaterals into different categories based on shared defining attributes. Explain why a triangle or quadrilateral would or would not belong to a category.

Classifying Quadrilaterals
Classifying Triangles

MA.5.GR.1.2: Identify and classify three-dimensional figures into categories based on their defining attributes. Figures are limited to right pyramids, right prisms, right circular cylinders, right circular cones and spheres.

Prisms and Cylinders
Pyramids and Cones

MA.5.GR.2: Find the perimeter and area of rectangles with fractional or decimal side lengths.

MA.5.GR.2.1: Find the perimeter and area of a rectangle with fractional or decimal side lengths using visual models and formulas.

Perimeter and Area of Rectangles

MA.5.GR.3: Solve problems involving the volume of right rectangular prisms.

MA.5.GR.3.1: Explore volume as an attribute of three-dimensional figures by packing them with unit cubes without gaps. Find the volume of a right rectangular prism with whole-number side lengths by counting unit cubes.

Balancing Blocks (Volume)

MA.5.GR.3.2: Find the volume of a right rectangular prism with whole-number side lengths using a visual model and a formula.

Balancing Blocks (Volume)
Prisms and Cylinders

MA.5.GR.3.3: Solve real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula. Write an equation with a variable for the unknown to represent the problem.

Balancing Blocks (Volume)
Prisms and Cylinders

MA.5.GR.4: Plot points and represent problems on the coordinate plane.

MA.5.GR.4.1: Identify the origin and axes in the coordinate system. Plot and label ordered pairs in the first quadrant of the coordinate plane.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane

MA.5.GR.4.2: Represent mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane

MA.5.DP: Data Analysis and Probability

MA.5.DP.1: Collect, represent and interpret data and find the mean, mode, median or range of a data set.

MA.5.DP.1.1: Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots.

Describing Data Using Statistics
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.5.DP.1.2: Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range.

Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 9/15/2020

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