Longman Mathematics Book

Unit 1 Base-Ten Number System

Chapter 1 Reading and Saying Cardinal Numbers

1-1 Cardinal Numbers

1-2 Base-Ten Place Names

1-3 Comma Placement

1-4 How to Say Cardinal Numbers

Have I Learned?

Chapter Review

Chapter 2 Reading and Saying Ordinal Numbers

2-1 Ordinal Numbers

2-2 How to Say Dates

Have I Learned?

Chapter Review

Chapter 3 Rounding Off Numbers

3-1 Round Numbers

3-2 Rounding Off Numbers

3-3 Round Off to the Tens Place

3-4 Round Off to Hundreds and Thousands Places

3-5 Estimation

Have I Learned?

Chapter Review

Unit 2 Operations with Whole Numbers

Chapter 4 Addition

4-1 Language of Addition

4-2 Commutative Property of Addition

4-3 Associative Property of Addition

4-4 Additive Identity Property of Addition

Have I Learned?

4-5 Addition with Carrying

4-6 Solving Addition Word Problems

Chapter Review

Chapter 5 Subtraction

5-1 Language of Subtraction

5-2 Subtraction of Whole Numbers

5-3 Subtraction with Borrowing

5-4 Subtraction with Borrowing from Zeros

5-5 Inverse Operations

5-6 Using Inverse Operations to Find Missing Numbers

Have I Learned?

5-7 Solving Subtraction Word Problems

Chapter Review

Chapter 6 Multiplication

6-1 Language of Multiplication

6-2 Symbols for Multiplication

6-3 Commutative Property of Multiplication

6-4 Associative Property of Multiplication

6-5 Multiplicative Identity Property of Multiplication

6-6 Multiplicative Property of Zero

6-7 Distributive Property of Multiplication

6-8 Multiplying Two-Digit and Three-Digit Numbers by a One-Digit Number

6-9 Multiplying and Carrying

6-10 Multiplying Two Digits by Two Digits

6-11 Multiplying Two-Digit Numbers by Two-Digits Numbers with Carrying

6-12 Multiplying Three-Digit Numbers by Two- and Three-Digit Numbers

6-13 Multiples of Ten

6-14 Solving Word Problems with Unnecessary Information

6-15 Solving Multiplication Word Problems

Have I Learned?

Chapter Review

Chapter 7 Division

7-1 Language of Division

7-2 Dividing with One-Digit Divisors

7-3 One-Digit Divisors with Remainders

7-4 Dividing with Two-Digit Divisors

7-5 Inverse Operations

7-6 Using Inverse Operations to Find Missing Numbers

7-7 Multiples of Ten

7-8 Order of Operations

7-9 More Order of Operations

Have I Learned?

7-10 Solving Division Word Problems

7-11 Problem Solving with Remainders

Chapter Review

Unit 3 Number Theory

Chapter 8 Integers

8-1 The Number Line

8-2 Comparing Integers

Have I Learned?

Chapter Review

Chapter 9 Prime Numbers, Bases, and Exponents

9-1 Prime Numbers

9-2 Prime Factors

9-3 Bases and Exponents

9-4 Using Base Ten

9-5 The Zero Exponent

9-6 Expanded Notation

Have I Learned?

Chapter Review

Unit 4 Operations with Decimal Numbers

Chapter 10 Decimals

10-1 Tenths

10-2 Hundredths

10-3 Equivalent Decimals in Tenths and Hundredths

10-4 Comparing Decimals in Tenths and Hundredths

10-5 Thousandths

10-6 Equivalent Decimals in Tenths, Hundredths, and Thousandths

10-7 Comparing Decimals in Tenths, Hundredths, and Thousandths

10-8 More Decimal Places

Have I Learned?

Chapter Review

Chapter 11 Adding and Subtracting Decimals

11-1 Writing Integers as Decimals

11-2 Adding Decimals

11-3 Money

11-4 Subtracting Decimals

11-5 Using Inverse Operations to Find Missing Decimals

11-6 Rounding Off Decimals

Have I Learned?

Chapter Review

Chapter 12 Multiplying and Dividing Decimals

12-1 Multiplying Decimals

12-2 Multiplying Decimals by Multiples of Ten

12-3 Dividing with Decimals

12-4 If the Dividend Is a Decimal

12-5 If the Divisor Is a Decimal

12-6 If the Dividend and Divisor Are Decimals

12-7 If the Divisor Is Greater Than the Dividend

12-8 Problem Solving with Decimals

12-9 Average, or Mean

12-10 Dividing Decimals by Multiples of Ten

Have I Learned?

Chapter Review

Unit 5 Operations with Fractions

Chapter 13 Fractions

13-1 Naming Fractions

13-2 Reading and Saying Fractions

13-3 Fractions Less Than, Equal To, and Greater Than a Whole

13-4 Whole Numbers as Fractions

13-5 Changing Improper Fractions to Mixed Numbers

13-6 Changing Mixed Numbers to Improper Fractions

13-7 Equivalent Fractions

Have I Learned?

Chapter Review

Chapter 14 More Work with Fractions

14-1 Comparing Fractions

14-2 Simplifying fractions

Have I Learned?

Chapter Review

Chapter 15 Multiplying and Dividing Fractions

15-1 Multiplying Fractions

15-2 Simplify by Canceling

15-3 Solving Word Problems

15-4 Reciprocals

15-5 Dividing Fractions

15-6 Solving Word Problems

Have I Learned?

Chapter Review

Chapter 16 Adding and Subtracting Fractions

16-1 Adding Fractions with Like Denominators

16-2 Lowest Common Denominator

16-3 Adding Fractions with Unlike Denominators

16-4 Solving Word Problems

16-5 Subtracting Fractions with Like Denominators

16-6 Writing Whole Numbers as Fractions

16-7 Subtracting Fractions from Whole Numbers

16-8 Subtracting Unlike Fractions

16-9 Solving Word Problems

Have I Learned?

Chapter Review

Unit 6 Ratios and Percents

Chapter 17 Ratios and Proportions

17-1 Ratios

17-2 Proportions

17-3 Solving Proportions Using Inverse Operations

17-4 Using Proportions in Problem Solving

Have I Learned?

Chapter Review

Chapter 18 Percents

18-1 Understanding Percents

18-2 Writing Percents as Decimals and Decimals as Percents

18-3 Writing Percent as Fractions

18-4 Writing Fractions as Decimals and as Percents

18-5 Solving Percent Problems

18-6 Using Percents with Discounts

Have I Learned?

Chapter Review

Unit 7 Operations with Integers

Chapter 19 More Work with Integers

19-1 Positive and Negative Integers

19-2 Adding Positive and Negative Integers on the Number Line

19-3 Absolute Value

19-4 Adding Positive and Negative Integers

19-5 Subtracting Positive and Negative Integers

19-6 Multiplying Positive and Negative Integers

19-7 Multiplying More Than Two Integers

19-8 Dividing Positive and Negative Integers

Have I Learned?

Chapter Review

Unit 8 Introduction to Geometry and Measurement

Chapter 20 Geometry

20-1 Points, Lines, and Planes

20-2 Intersecting and Parallel Lines

20-3 Angles

20-4 Drawing Angles

20-5 Perpendicular Lines

20-6 Triangles

20-7 Circles

20-8 Drawing Circles

Have I Learned?

Chapter Review

Chapter 21 Polygons

21-1 Polygons

21-2 Congruent Figures

21-3 Corresponding Parts

21-4 Regular Polygons

21-5 Similar Polygons

21-6 Proportions with Similar Polygons

Have I Learned?

Chapter Review

Chapter 22 Measurements

22-1 Perimeter

22-2 Circumference of a Circle

22-3 Area of a Rectangle and Square

22-4 Area of a Triangle

22-5 Area of a Parallelogram

22-6 Area of a Circle

Have I Learned?

Chapter Review

Glossary

Listening Scripts