Table
of Contents
Chapter 1 Measurements
Lesson
1 English Units of Length (Inches, Feet, Yards, and Miles)
Lesson
2 Metric Units of Length (Kilometer, Meter,
Centimeter, and Millimeter)
Lesson
3 Converting Kilometers to Miles
Lesson
4 Converting Kilometers to Yards
Lesson
5Converting Kilometers to Feet
Lesson
6 Converting Kilometers to Inches
Lesson
7 Converting Meters to Yards
Lesson
9 Converting Meters to Inches
Lesson
10 Converting Centimeters to Inches
Lesson
11 Converting Miles to Kilometers
Lesson
12 Converting Miles to Meters
Lesson
13 Converting Miles to Centimeters
Lesson
14 Converting Yards to Meters
Lesson
16 Converting Feet to Meters
Lesson
17 Converting Feet to Centimeters
Lesson
18 Converting Inches to Meters
Lesson
19 Converting Inches to Centimeters
Lesson
20 The Perimeters of Figures
Lesson
21 Area (I)
Lesson
22 Area (II)
Lesson
23 Using Critical Thinking to Solve Area Problems
Lesson
24 Measuring Area in English and Metric Units
Lesson
25 English Units of Volume
Lesson
26 Converting Gallons to Liters and Liters
to Gallons
Lesson
27 Converting Liters to Quarts and Quarts
to Liters
Lesson
28 Converting Quarts to Pints and Pints to
Quarts
Lesson
29 Converting Pints to Cups and Cups to
Pints
Lesson
30 Clock: Calculating Minutes Late or Minutes Early
Lesson
31 Clock: Calculating Minutes Late in the Next Hour or Minutes Early in the
Previous Hour
Lesson
32 Clock: Calculating When More Than One Hour Late or Early
Lesson
33 Determining Temperature
Lesson
1 Computing to Solve Problems Page 2-3
Lesson
2 Correcting Mistakes in Subtraction Problems Page 2-4
Lesson
3 Problem Solving Strategies Using Lists Page 2-6
Lesson
4 Problem Solving Strategies Using Lists of Combinations Page 2-7
Lesson
5 Problem Solving Strategies Using Grouping Page 2-9
Lesson
6 Problem Solving Strategies Using Models Page 2-10
Lesson
7 Problem Solving by Drawing Objects and Working Forward Page 2-12
Lesson
8 Problem Solving by Drawing Objects and Working Backwards Page 2-14
Lesson
9 More Problem Solving by Drawing Objects and Working Backwards Page 2-16
Lesson
10 Critical Thinking: Solving Problems Backwards Page 2-18
Lesson
11 Solving Problems by Listing Possible Solutions Page 2-21
Lesson
12 Solving More Problems by Listing Possible Solutions Page 2-22
Lesson
13 Finding All Possible Solutions to a Problem Page 2-24
Lesson
14 Finding and Listing the Total Number of Possible Solutions Page 2-25
Lesson
15 Finding Combinations of Numbers When Given a Set of Digits Page 2-30
Lesson
16 More Combinations of Numbers Page 2-32
Lesson
17 Listing All the Numbers with Different Digits Page 2-33
Lesson
18 More Listing of Combinations: Even or Odd Numbers Page 2-34
Lesson
20 More Determining Shortest Path Page 2-37
Lesson
21 Critical Thinking and Determining Shortest Paths Page 2-39
Chapter 3 Algebraic Thinking
Lesson
1 Variables Page 3-3
Lesson
3 Expressions with Subtraction Page 3-6
Lesson
6 Distance Page 3-15
Lesson
7 Calculating Speed Page 3-17
Lesson
8 Calculating Time to Travel a Given Distance Page 3-19
Lesson
10 Expressions with Variables Multiplied by a Number Page 3-25
Lesson
11 More Equations with Variables Multiplied by a Number Page 3-26
Lesson
12 Equations with Variables Divided by a Number Page 3-27
Lesson
13 Changing Operation Signs When Regrouping Page 3-28
Lesson
14 Finding the Value of Variables in Equations (Addition/Subtraction) Page 3-29
Lesson
15 Finding the Value of Variables in Equations (Multiplication/Division) Page
3-30
Lesson 16 Solving Word Problems Using Equations (Addition) Page 3-34
Lesson 17 Solving Word Problems Using Equations (Subtraction) Page 3-37
Lesson 18 Solving Word Problems Using Equations (Addition and Subtraction) Page 3-39
Lesson
19 Critical Thinking Page 3-42
Chapter 4 Estimation, Percentages,
Statistics, and Probability
Lesson
1 Estimating Length Page 4-2
Lesson
2 Estimating Area Page 4-3
Lesson
3 Estimating time Page 4-4
Lesson
4 Estimating Money Page 4-5
Lesson
5 Estimating Values of Expressions Page 4-6
Lesson
6 Averages Page 4-8
Lesson
7 Solving Word Problems Using Averages Page 4-10
Lesson
8 Calculating Percentages of Whole Numbers Page 4-12
Lesson
9 Solving Word Problems Using Percentages of Whole Numbers Page 4-13
Lesson
11 Calculating Percentages of Fractions and Probability Page 4-16
Lesson
12 Solving Word Problems Using Probability Page 4-21
Chapter 5 Logic, Patterns and
Relationships
Lesson
1 Math Concepts Page 5-2
Lesson
2 True and False Using AND Statements Page 5-5
Lesson
3 True and False Using OR Statements Page 5-6
Lesson
4 Different Shapes That Have the Same Area Page 5-9
Lesson
6 Fraction Patterns Page 5-11
Lesson
7 Expression Patterns Page 5-13
Lesson
8 More Expression Patterns: Finding the Correct Rule Page 5-14
Lesson
9 Time Patterns Page 5-15
Lesson
10 Angle Patterns Page 5-16
Lesson
11 Area Patterns and Three-dimensional Shape Patterns Page 5-17
Appendix I Road Map of Explore the
secrets of Math Level 4 Book 1 Appendix I 1