# Teaching Textbooks

## Grade Five Content

Teaching Textbooks Grade 5

#### number concepts to 1 000 000

Lesson 1—Number Patterns

Lesson 2—The Way Numbers Work

Lesson 3—Numbers and Words

Lesson 4—Millions

Lesson 5—Greater Than, Less Than

Lesson 6—Addition Basics

Lesson 7—Subtraction Basics

Lesson 8—Adding and Subtracting on Paper

Lesson 10—Rounding and Estimating with Two-Digit Numbers

Lesson 11—Addition with Carrying

Lesson 12—Adding More than Two

Lesson 13—Adding and Subtracting with Three-Digit Numbers

Lesson 14—Rounding and Estimating with Three-Digit Numbers

Lesson 15—Adding and Subtracting Word Problems

Lesson 18—Simple Two-Step Word Problems

Lesson 19—Multiplication Basics

Lesson 20—Multiplying with 0, 1, and 2

Lesson 21—Multiplying with 5s and 9s

Lesson 22—Harder Multiplication Facts

Lesson 23—Multiplying with Two-Digit Numbers

Lesson 24—Multiplying by a Multiple of 10

Lesson 25—Rounding and Estimating When Multiplying

Lesson 26—Multiplying with Three-Digit Numbers

Lesson 28—Multiplication with Carrying

Lesson 29—Multiplying Three Numbers

Lesson 39—Introduction to Fractions

Lesson 40—Adding with Four-Digit Numbers

Lesson 41—Regrouping

Lesson 42—Rounding and Estimating with Four-Digit Numbers

Lesson 43—Decimal Basics—Tenths and Hundredths

Lesson 44—Decimals and Fractions

Lesson 45—Decimals in Words

Lesson 46—Dollars and Decimals

Lesson 47—Dollars, Cents, and Decimals

Lesson 48—Adding and Subtracting with Decimals

Lesson 49—Adding and Subtracting with Dollars and Cents

Lesson 50—Regrouping Twice

Lesson 51—Regrouping with Zeros

Lesson 52—Comparing Decimals

Lesson 53—Filling in the Holes—Part 1

Lesson 54—Decimals and Carrying

Lesson 55—Decimals and Regrouping

Lesson 56—Filling in the Holes—Part 2

Lesson 57—More Regrouping

Lesson 58—Money Word Problems—Part 1

Lesson 59—Thousandths and Decimals

Lesson 60—Money Word Problems—Part 2

Lesson 61—Money Word Problems—Part 3

Lesson 62—The Meaning of Division

Lesson 63—Division Rules and Definitions

Lesson 64—Dividing with a Remainder

Lesson 65—Division with a Two-Digit Answer—Part 1

Lesson 66—Division Word Problems

Lesson 69—Multiplying Two 2-Digit Numbers

Lesson 70—Rounding and Estimating when Multiplying with Two-Digit Numbers

Lesson 71—More Multiplying with Carrying

Lesson 72—Multiplying Two Big Numbers

Lesson 73—Carrying when Multiplying Two Big Numbers

Lesson 75—Division with a Two-Digit Answer—Part 2

Lesson 76—Division with Three-Digit Answers

Lesson 77—Dividing with a Two-Digit Divisor

Lesson 78—Dividing Numbers that End in Zero in Your Head

Lesson 79—Harder Two-Digit Divisor Problems

Lesson 80—Zeros in the Quotient

Lesson 83—Averages

Lesson 85—Thinking of Fractions as Percents

Lesson 86—More on Percents and Fractions

Lesson 92—Adding and Subtracting Fractions with the Same Denominators

Lesson 93—Improper Fractions and Mixed Numbers

Lesson 94—Converting an Improper Fraction to a Mixed Number

Lesson 95—Division Word Problems with a Remainder

Lesson 96—Adding Mixed Numbers with the Same Denominator

Lesson 97—Subtracting Mixed Numbers with the Same Denominator

Lesson 100—Reducing Fractions

Lesson 101—Comparing Fractions

Lesson 102—More on Reducing Fractions

Lesson 103—Adding and Subtracting Fractions with Different Denominators

Lesson 104—Adding and Subtracting More than Two Fractions

Lesson 106—Multiplying Whole Numbers and Decimals by 10, 100, and 1,000

Lesson 108—Zeros We Don’t Need

Lesson 109—Adding a Zero to the Answer

Lesson 111—Dividing Whole Numbers and Decimals by 10, 100, and 1,000

Lesson 113—The Number Line

Lesson 114—Equations

#### decimals to thousandths

Lesson 105—Multiplication and Decimals

Lesson 107—Multiplying with Decimals in the Real World

Lesson 110—Dividing a Decimal by a Whole Number

Lesson 111—Dividing Whole Numbers and Decimals by 10, 100, and 1,000

Lesson 112—Dividing with Decimals in the Real World

#### equivalent fractions

Lesson 98—Equivalent Fractions—Part 1

Lesson 99—Equivalent Fractions—Part 2

Lesson 100—Reducing Fractions

#### whole-number, fraction, and decimal benchmarks

Lesson 44—Decimals and Fractions

Lesson 85—Thinking of Fractions as Percents

Lesson 86—More on Percents and Fractions

Lesson 92—Adding and Subtracting Fractions with the Same Denominators

Lesson 93—Improper Fractions and Mixed Numbers

Lesson 94—Converting an Improper Fraction to a Mixed Number

Lesson 96—Adding Mixed Numbers with the Same Denominator

Lesson 97—Subtracting Mixed Numbers with the Same Denominator

Lesson 98—Equivalent Fractions—Part 1

Lesson 99—Equivalent Fractions—Part 2

Lesson 100—Reducing Fractions

Lesson 101—Comparing Fractions

Lesson 102—More on Reducing Fractions

Lesson 103—Adding and Subtracting Fractions with Different Denominators

Lesson 104—Adding and Subtracting More than Two Fractions

#### addition and subtraction of whole numbers to 1 000 000

Lesson 11—Addition with Carrying

Lesson 12—Adding More than Two

Lesson 13—Adding and Subtracting with Three-Digit Numbers

Lesson 14—Rounding and Estimating with Three-Digit Numbers

Lesson 15—Adding and Subtracting Word Problems

#### multiplication and division to three digits, including division with remainders

Lesson 19—Multiplication Basics

Lesson 20—Multiplying with 0, 1, and 2

Lesson 21—Multiplying with 5s and 9s

Lesson 22—Harder Multiplication Facts

Lesson 23—Multiplying with Two-Digit Numbers

Lesson 24—Multiplying by a Multiple of 10

Lesson 25—Rounding and Estimating When Multiplying

Lesson 26—Multiplying with Three-Digit Numbers

Lesson 27—Multiplication Word Problems

Lesson 28—Multiplication with Carrying

Lesson 29—Multiplying Three Numbers

Lesson 106—Multiplying Whole Numbers and Decimals by 10, 100, and 1,000

Lesson 108—Zeros We Don’t Need

Lesson 111—Dividing Whole Numbers and Decimals by 10, 100, and 1,000

#### addition and subtraction of decimals to thousandths

Lesson 43—Decimal Basics—Tenths and Hundredths

Lesson 44—Decimals and Fractions

Lesson 45—Decimals in Words

Lesson 46—Dollars and Decimals

Lesson 47—Dollars, Cents, and Decimals

Lesson 48—Adding and Subtracting with Decimals

Lesson 49—Adding and Subtracting with Dollars and Cents

Lesson 52—Comparing Decimals

Lesson 54—Decimals and Carrying

Lesson 55—Decimals and Regrouping

#### addition and subtraction facts to 20 (extending computational fluency)

Lesson 6—Addition Basics

Lesson 7—Subtraction Basics

Lesson 8—Adding and Subtracting on Paper

#### multiplication and division facts to 100 (emerging computational fluency)

Lesson 19—Multiplication Basics

Lesson 20—Multiplying with 0, 1, and 2

Lesson 21—Multiplying with 5s and 9s

Lesson 22—Harder Multiplication Facts

#### rules for increasing and decreasing patterns with words, numbers, symbols, and variables

Lesson 1—Number Patterns

Lesson 2—The Way Numbers Work

Lesson 3—Numbers and Words

Lesson 4—Millions

Lesson 5—Greater Than, Less Than

#### one-step equations with variables

Lesson 53—Filling in the Holes—Part 1

Lesson 56—Filling in the Holes—Part 2

Lesson 114—Equations

#### area measurement of squares and rectangles

Lesson 30—Points, Lines, and Line Segments

Lesson 31—Angles

Lesson 32—Types of Angles

Lesson 68—Types of Quadrilateral

#### relationships between area and perimeter

Lesson 30—Points, Lines, and Line Segments

Lesson 31—Angles

Lesson 32—Types of Angles

Lesson 33—Perpendicular and Parallel Lines

Lesson 34—Types of Triangles—Scalene, Isosceles, and Equilateral

Lesson 35—Types of Triangles—Acute, Right, and Obtuse

Lesson 36—Polygons

Lesson 37—Perimeter

Lesson 38—Area

Lesson 67—Circles

#### duration, using measurement of time

Supplementation Required

#### classification of prisms and pyramids

Lesson 34—Types of Triangles—Scalene, Isosceles, and Equilateral

Lesson 35—Types of Triangles—Acute, Right, and Obtuse

#### single transformations

Supplementation Required

#### one-to-one correspondence and many-to-one correspondence, using double bar graphs

Supplementation Required

#### probability experiments, single events or outcomes

Supplementation Required

#### financial literacy — monetary calculations, including making change with amounts to 1000 dollars and developing simple financial plans

Lesson 46—Dollars and Decimals

Lesson 47—Dollars, Cents, and Decimals

Lesson 49—Adding and Subtracting with Dollars and Cents

Lesson 58—Money Word Problems—Part 1

Lesson 60—Money Word Problems—Part 2

Lesson 61—Money Word Problems—Part 3

## Curricular Competencies

### Reasoning/Analyzing

#### Use reasoning to explore and make connections

Lesson 78—Dividing Numbers that End in Zero in Your Head

May need further support from a teacher in order for the student to receive more practice

Supplementation Required

#### Estimate reasonably

Lesson 70—Rounding and Estimating when Multiplying with Two-Digit Numbers

May need further support from a teacher in order for the student to receive more practice

Supplementation Required

#### Develop mental math strategies and abilities to make sense of quantities

Lesson 70—Rounding and Estimating when Multiplying with Two-Digit Numbers

Lesson 78—Dividing Numbers that End in Zero in Your Head

#### Use technology to explore mathematics

Supplementation Required

#### Model mathematics in contextualized experiences

Supplementation Required

### Understanding/Solving

#### Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Role-play, inquiry can be done through problem-solving e.g. Lesson 15—Adding and Subtracting Word Problems

Lesson 18—Simple Two-Step Word Problems

Lesson 27—Multiplication Word Problems

Lesson 58—Money Word Problems—Part 1

Lesson 60—Money Word Problems—Part 2

Lesson 61—Money Word Problems—Part 3

May need further support from a teacher

Supplementation Required

#### Visualize to explore mathematical concepts

Supplementation Required

#### Develop and use multiple strategies to engage in problem solving

Supplementation Required

#### Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Lesson 87—Units for Length

Lesson 88—Units for Liquid

Lesson 89—Units for Weight

Lesson 90—Measuring Length with Metric Units

Lesson 91—Other Metric Units

Lesson 81—Longer Units of Time

Lesson 16—Roman Numerals—Part 1

Lesson 17—Roman Numerals—Part 2

May need further support from a teacher

Supplementation Required

### Communicating/Representing

#### Communicate mathematical thinking in many ways

Lesson 15—Adding and Subtracting Word Problems

Lesson 18—Simple Two-Step Word Problems

Lesson 27—Multiplication Word Problems

Lesson 58—Money Word Problems—Part 1

Lesson 60—Money Word Problems—Part 2

Lesson 61—Money Word Problems—Part 3

Lesson 74—Small Units of Time

Lesson 87—Units for Length

Lesson 88—Units for Liquid

Lesson 89—Units for Weight

Lesson 90—Measuring Length with Metric Units

Lesson 91—Other Metric Units

May need further support from a teacher

Supplementation Required

#### Use mathematical vocabulary and language to contribute to mathematical discussions

Supplementation Required

#### Explain and justify mathematical ideas and decisions

Supplementation Required

#### Represent mathematical ideas in concrete, pictorial, and symbolic forms

Lesson 9—Surveys and Tally Marks

Lesson 16—Roman Numerals—Part 1

Lesson 17—Roman Numerals—Part 2

### Connecting/Reflecting

#### Reflect on mathematical thinking

Lesson 87—Units for Length

Lesson 88—Units for Liquid

Lesson 89—Units for Weight

Lesson 90—Measuring Length with Metric Units

Lesson 91—Other Metric Units

Lesson 16—Roman Numerals—Part 1

Lesson 17—Roman Numerals—Part 2

Needs Further Support from a teacher

Supplementation Required

#### Connect mathematical concepts to each other and to other areas and personal interests

Lesson 87—Units for Length

Lesson 88—Units for Liquid

Lesson 89—Units for Weight

Lesson 90—Measuring Length with Metric Units

Lesson 91—Other Metric Units

Lesson 16—Roman Numerals—Part 1

Lesson 17—Roman Numerals—Part 2

Needs further support from a teacher

Supplementation Required

#### Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

First Peoples perspectives are not covered