Fifth Grade

5th Grade i-Ready Classroom Mathematics

What is the sequence of my 5th grader's learning?

5th Grade Mathematics Scope & Sequence

Quarter 1

Quarter 2

Quarter 3

Quarter 4

Aug

Sept

Oct

Nov

Dec

Jan

Feb

March

April

May

June

DMM

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Developing Mathematical Mindsets

Becoming a confident learner and doer of mathematics begins first with believing we are capable, that mistakes are essential to developing depth of understanding, and that most often our highest level work happens through collaboration with others.

Unit Themes & Family Letters

Click on the lesson titles in the drop down menu for each unit to access the Family Letter.

Unit 1: Whole Number Operations & Applications: Volume, Multiplication and Division (Lesson 0 - 5)

Lesson 1: Understand Volume (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 2: Find Volume Using Unit Cubes (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 3: Find Volume Using Formulas (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 4: Multiply Whole Numbers (English, Spanish, Russian, Mandarin, Vietnamese)
Lesson 5: Divide Whole Numbers (English, Spanish, Russian, Mandarin, Vietnamese)

Unit 2: Decimals and Fractions: Place Value, Addition, and Subtraction (Lesson 6 - 14)

Lesson 6: Understand Place Value (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 7: Understand Powers of 10 (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 8: Read and Write Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 9: Compare and Round Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 10: Add Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 11: Subtract Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 12: Add Fractions (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 13: Subtract Fractions (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 14: Add and Subtract in Word Problems (English, Spanish, Russian, Mandarin, Vietnamese)

Unit 3: More Decimals and Fractions: Multiplication and Division (Lesson 15 - 24)

Lesson 15: Multiply a Decimal by a Whole Number (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 16: Multiply Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 17: Divide Decimals (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 18: Fractions as Division (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 19: Understand Multiplication by a Fraction (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 20: Multiply Fractions to Find Area (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 21: Understand Multiplication as Scaling (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 22: Multiply Fractions in Word Problems (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 23: Understand Division with Unit Fractions (English, Spanish, Russian, Mandarin, Vietnamese)
Lesson 24: Divide Unit Fractions in Word Problems (English, Spanish, Russian, Mandarin, Vietnamese)

Unit 4: Measurement, Data, & Geometry: Converting Units, Using Data, and Classifying Figures (Lessons 25 - 29)

Lesson 25: Convert Measurement Units (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 26: Solve Word Problems Involving Conversions (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 27: Make Line Plots and Interpret Data (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 28: Understand Categories of Two-Dimensional Figures (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 29: Classify Two-Dimensional Figures (English, Spanish, Russian, Mandarin, Vietnamese)

Unit 5: Algebraic Thinking & Coordinate Planes: Expressions, Graphing Points, Patterns and Relationships (Lessons 30 -33)

Lesson 30: Evaluate, Write, and Interpret Expressions (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 31: Understand the Coordinate Plane (English, Spanish, Russian, Mandarin, Vietnamese)

Lesson 32: Represent Problems in the Coordinate Plane (English, Spanish, Russian, Mandarin, Vietnamese)
Lesson 33: Analyze Patterns and Relationships (English, Spanish, Russian, Mandarin, Vietnamese)

Fifth Grade Mathematics Standards and Content Standards

What are the mathematics concept acquisition expectations for fifth grade students?

Operations and Algebraic Thinking

Numbers and Operation in Base Ten

Understands the place value system
Reads, writes, and compares decimals to thousandths
Uses place value understanding to round decimals to any place
Adds, subtracts, multiples, and divides decimals to hundredths, using concrete models or drawings and strategies based on place value, and properties of operations
Fluently multiply multi-digit numbers
Divides multi-digit numbers by two-digit numbers using strategies based on place value, the properties of operations and the relationship between multiplication and division

Numbers and Operations -- Fractions

Uses equivalent fractions as a strategy to add and subtract fractions
Solve word problems involving adding and subtracting fractions with like and unlike denominators
Solves problems involving multiplication of fractions and mixed numbers
Understands multiplication as scaling (enlarging or reducing; e.g., knows 5 x ¾ is less than 5 without performing the multiplication)
Solves problems using division involving fractions (e.g. 5 ÷ ¼ = 20 ½ ÷ 4 = ⅛ )

Measurement and Data

Converts like measurement units with a given measurement system and uses these conversions in solving multi-step, real world problems
Represent and interpret data using line plots
Geometric measurement:
- Recognizes volume as an attribute of three dimensional space
- Relates volume to multiplication and to addition
- Uses concrete objects as well as formulas to measure volume

Geometry

Standards for Mathematical Practice

The eight standards for mathematical practice describe the “know-how” or habits of mind that we seek to develop in students. These practices define important methods and skills that students need to be mathematically proficient.