Elementary Mathematics Grade 5 Mathematics • 2024-2025

Scope and Sequence

More than 80% of instructional time is focused on major content. Standards have been organized into modules.

Timing guidelines are recommended to guide weekly instruction. Specific decisions should be made based on the needs of students.

Mathematics Focus by Grade Level

The sections below identify instructional focus (standards) for each module. Standards are linked to full standards pages. These pages provide the instructional resources needed for instruction, independent work and assessment.

First Semester: Quarters 1 and 2

Module 1 • Quarter 1 • Getting to Know Your Math Students

Two Weeks • August 26 - September 6

This module focuses on who our students are as learners and mathematicians.

Learn about students' math identities to begin to foster productive dispositions towards mathematics.
Engage students in mathematical tasks and make observations of students.
Build a math community.

Link to Module 1 materials

Module 2 • Quarter 1 • Multiplication

Three Weeks • September 9 - September 27

In this module, students will

Multiply four-digit, three-digit, and two-digit factors by one-digit or two-digit factors using partial products 5.NBT.5
Connect partial product strategies to the standard algorithm for multiplying four-digit, three-digit, and two-digit factors by one-digit or two-digit factors. 5.NBT.5

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Connect previous learning of multi-digit by one-digit multiplication using partial products to the standard algorithm. Week 2: Connect previous learning of multi-digit by two-digit multiplication using partial products to the standard algorithm. Week 3: Solve problems with multiplication using the standard algorithm.
Measurement Topic(s) in this Module-- Multiplication/Division Different Number Types
Other Notes-- Although this is a computation standard, context problems should be used consistently.
Other Notes-- Provide basic fact charts for students as needed. This standard is not assessing basic fact fluency.

Module 3 • Quarter 1 • Division

Three Weeks • September 30 - October 17

In this module, students will

Divide four-digit, three-digit, and two-digit dividends by one-digit divisors using partial quotients 5.NBT.6
Divide four-digit, three-digit, and two-digit dividends by two-digit divisors using partial quotients 5.NBT.6

Notes About the Module:

Recommended Timing Guidelines-- Begin the module with one-digit divisors using partial quotients. Then, move to working with two-digit divisors using partial quotients.
Measurement Topic(s) in this Module-- Multiplication/Division Different Number Types
Other Notes-- Students should work with problems involving remainders and interpreting remainders within the context of the problem.
Other Notes-- Provide basic fact charts for students as needed. This standard is not assessing basic fact fluency.

Module 4 • Quarter 1 • Fractions as Division

Two Weeks • October 21 - November 1

In this module, students will

Interpret fractions as division 5.NF.3
Solve problems with like-denominator fractions on line plots 5.MD.2

Notes About the Module:

Recommended Timing Guidelines-- The majority of the module should be spent developing the concept of fractions as division (5NF3). Leave two days at the end of the module for the line plot lessons (5MD2).
Measurement Topic(s) in this Module-- Number, Fraction, and Decimal Concepts

Module 5 • Quarter 2 • Adding and Subtracting Fractions

Four Weeks • November 4 - December 6

In this module, students will

Add and subtract fractions and mixed numbers with like denominators word problems 5.NF.2 Note: Use as a context for the standard below.
Add and subtract fractions and mixed numbers with like denominators 5.NF.1
Solve problems that add and subtract fractions and mixed numbers with unlike denominators 5.NF.2 Note: Use as a context for the standard below.
Add and subtract fractions and mixed numbers with unlike denominators 5.NF.1

Notes About the Module:

Recommended Timing Guidelines-- First, review the 4th grade concept of adding and subtracting fractions with like denominators (including mixed) by completing lessons on the 5NF2 standard page. Then, bridge to unlike denominators by generating equivalent fractions with common denominators (lessons on the 5NF1 page). Next, add and subtract with unlike denominators, no mixed numbers (see 5NF2 page for lessons). Finally, leave approximately two weeks to add and subtract with unlike denominators, including mixed numbers (see 5NF2 page for lessons).
Measurement Topic(s) in this Module-- Addition/Subtraction Different Number Types
Other Notes-- Teachers should spend time reading the About the Math pages for both 5NF1 and 5NF2 before teaching this module. It is critical to understand how these standards connect and overlap as you plan for instruction.
Other Notes-- Provide basic fact charts for students as needed. These standards are not assessing basic fact fluency.

Module 6 • Quarter 2 • Multiplying Fractions

Three Weeks • December 9 - January 10

In this module, students will

Interpret multiplication of fractions as scaling 5.NF.5
Solve problems that multiply fractions 5.NF.6 Note: Use as a context for the standards below.
Multiply a fraction by a whole numbers to find a fraction of a set 5.NF.4
Multiply a fraction by a fraction 5.NF.6

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Multiplication as scaling-- complete lesson on 5NF5 standard page. Then, solve problems with fraction times a whole number (see tasks on the 5NF4 page). Week 2: Solving problems involving fraction times a fraction (no mixed), see tasks on 5NF6 page. Week 3: Begin solving problems involving multiplication of fractions, including mixed numbers (see lessons on 5NF4 page).
Measurement Topic(s) in this Module-- Multiplication/Division Different Number Types
Other Notes-- Teachers should spend time reading the About the Math pages for 5NF5, 5NF4 and 5NF6 before teaching this module. It is critical to understand how these standards connect and overlap as you plan for instruction.

Module 7 • Quarter 2 and 3 • Multiplying and Dividing Fractions

Three Weeks • January 13 - January 31

In this module, students will

Continue to solve problems with multiplying fractions, including mixed numbers 5.NF.6 Note: Use as a context for the standards below.
Divide whole numbers by unit fractions and unit fractions by whole numbers and solve word problems with these operations 5.NF.7

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Continuing from last module, solve problems involving the multiplication of fractions, including mixed numbers (see tasks on the 5NF6 page). Week 2: Divide a whole number by a unit fraction (5NF7). Week 3: Divide a unit fraction by a whole number (5NF7).
Measurement Topic(s) in this Module-- Multiplication/Division Different Number Types
Other Notes-- Division of fractions is an introduction in 5th grade. Students will divide a fraction by a fraction (including mixed numbers) next year.

Second Semester: Quarters 3 and 4

Module 8 • Quarter 3 • Place Value and Decimals

Four Weeks • February 3 - February 28

In this module, students will

Explain the value of digits in relation to adjacent digits (through thousandths) 5.NBT.1
Read, write, compare decimals 5.NBT.3
Round and estimate decimals 5.NBT.4
Represent powers of ten with exponents 5.NBT.2

Notes About the Module:

Recommended Timing Guidelines-- Begin the module with reading, writing and comparing decimals (5NBT3). Then, explain the value of the digits in relation to adjacent digits (5NBT1). Next, round and estimate decimals (5NBT4). Finally, represent powers of ten with exponents (5NBT2).
Measurement Topic(s) in this Module-- Number/Fraction/Decimal Concepts
Other Notes-- Mastery of the rounding procedure is not required. In fact, students should understand that a number "rounds" to a number based on place value and because it is closer to a particular benchmark number, not by following a rote procedure.

Module 9 • Quarter 3 • Adding and Subtracting Decimals

Three Weeks • March 3 - March 21

In this module, students will

Add decimals 5.NBT.7
Subtract decimals 5.NBT.7

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Use models to represent and estimate sums and differences with decimal computation (5NBT7). Week 2 and 3: Solve problems with addition and subtraction of decimals (5NBT7).
Measurement Topic(s) in this Module-- Addition/Subtraction Different Number Types
Other Notes-- It is critical that students use estimation prior to applying the standard algorithm for addition and subtraction. Students may also use partial sums, counting on, counting back, think addition, and/or compensation to solve decimal computation problems.

Module 10 • Quarter 3 and 4 • Multiplying Decimals

Three Weeks • March 24 - April 11

In this module, students will

Multiply decimals 5.NBT.7

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Use models to represent and estimate products with decimal computation (5NBT7). Week 2 and 3: Solve problems with multiplication of decimals (5NBT7).
Measurement Topic(s) in this Module-- Multiplication/Division Different Number Types
Other Notes-- "Counting decimals places and moving decimal points" is not grounded in meaning. However, estimating a product using the whole numbers prior to computing will explain why "counting the decimal places and moving the decimal point" makes sense. Students may also use partial products to solve decimal computation problems.
Other Notes-- This module provides an opportunity to revisit multiplying with the standard algorithm.

Module 11 • Quarter 4 • Measurement: Volume and Conversions

Three Weeks • April 22 - May 9

In this module, students will

Concept of volume 5.MD.3
Measure volume by counting cubic units 5.MD.4
Use the formula for finding volume 5.MD.5
Interpret volume as additive 5.MD.5
Solve problems involving the conversion of measurement units 5.MD.1

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Concept of volume (5MD3), count cubic units to find volume (5MD4), and start finding volume (5MD5). Week 2: Find volume and interpret volume as additive (5MD5). Week 3: Solve problems with conversions (5MD1).
Measurement Topic(s) in this Module-- Measurement/Data/Statistics
Other Notes-- Students should be provided access to a conversion chart when solving measurement problems. A reference chart (and in Spanish) is provided to students while taking the MCAP and should be used as a reference during instruction.

Module 12 • Quarter 4 • Expressions, Coordinate Grid, and Geometric Figures

Three Weeks • May 12 - May 30

In this module, students will

Evaluate expressions with parentheses and brackets 5.OA.1
Write simple expressions 5.OA.2
Understand and use the first quadrant of the coordinate plane 5.G.1
Solve problems using the first quadrant of the coordinate plane 5.G.2
Generate ordered pairs by applying rules and graph on the coordinate plane 5.OA.3
Understand categories and subcategories of two-dimensional figures using attributes 5.G.3
Classify two-dimensional figures in a hierarchy based on properties 5.G.4

Notes About the Module:

Recommended Timing Guidelines-- Week 1: Expressions (5OA1 and 5OA2). Week 2: Coordinate plane (5G1 and 5G2) and graphing rules/patterns on the coordinate plane (5OA3). Week 3: Two-dimensional figures (5G3 and 5G4)
Measurement Topic(s) in this Module-- Algebraic Thinking/Expressions/Equations, Geometry

Module 13 • Quarter 4 • Dividing Decimals

Two Weeks • June 2 - June 11

In this module, students will

Divide decimals 5.NBT.7

Notes About the Module:

Recommended Timing Guidelines-- Week 1 and 2: Use models, estimate and solve problems with division of decimals.
Other Notes-- Division with decimals must also be grounded in understanding. It is also important that student work with division of decimals is restricted to friendly computations such as 12 ÷ .4, 2.7 ÷ 3, 5.5 ÷ .5.

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