Table of Contents
COURSE 1
TABLE OF CONTENTS
MATHEMATICS: APPLICATIONS AND CONNECTIONS, ©2001
Chapter 1 Problem Solving, Numbers, and Algebra
1-1 A Plan for Problem Solving
1-2 Using Patterns
1-3 Estimation by Rounding
1-4 Order of Operations
Mid-Chapter Self Test
1-5A Hands-On Lab: Variables and Expressions
1-5 Integration: Algebra: Variables and Expressions
1-5B Technology Lab: Graphing Calculators: Evaluating Expressions
1-6 Integration: Algebra: Powers and Exponents
1-7A Thinking Lab: Problem Solving: Guess and Check
1-7 Integration: Algebra: Solving Equations
Chapter 2 Statistics: Graphing Data
2-1 Frequency Tables
2-2 Scales and Intervals
2-3 Bar Graphs and Line Graphs
2-3B Thinking Lab: Problem Solving: Use a Graph
2-4 Reading Circle Graphs
2-5 Making Predictions
Mid-Chapter Self Test
2-6 Stem-and-Leaf Plots
2-7 Mean, Median, Mode
2-7B Hands-On Lab: Cooperative Learning: Box-and-Whisker Plots
2-8 Misleading Statistics
2-9 Integration: Geometry: Graphing Ordered Pairs
Chapter 3 Adding and Subtracting Decimals
3-1A Hands-On Lab: Cooperative Learning: Decimals Through Hundredths
3-1 Decimals Through Ten-Thousandths
3-2A Hands-On Lab: Cooperative Learning: Measurement
3-2 Integration: Measurement: Length in the Metric System
3-3 Comparing and Ordering Decimals
3-4 Rounding Decimals
Mid-Chapter Self Test
3-5 Estimating Sums and Differences
3-6A Thinking Lab: Problem Solving: Reasonable Answers
3-6 Adding and Subtracting Decimals
Chapter 4 Multiplying and Dividing Decimals
4-1A Hands-On Lab: Cooperative Learning:
Multiplying Decimals by Whole Numbers
4-1 Multiplying Decimals by Whole Numbers
4-2 Using the Distributive Property
4-3A Hands-On Lab: Cooperative Learning: Multiplying Decimals
4-3 Multiplying Decimals
4-3B Technology Lab: Spreadsheets: Reading Spreadsheets
4-4 Integration: Geometry: Perimeter and Area
4-4B Hands-On Lab: Cooperative Learning: Area and Perimeter
4-5A Thinking Lab: Problem Solving: Solve a Simpler Problem
4-5 Dividing Decimals by Whole Numbers
Mid-Chapter Self Test
4-6A Hands-On Lab: Cooperative Learning: Dividing by Decimals
4-6 Dividing by Decimals
4-7 Zeros in the Quotient
4-8 Integration: Measurement: Mass and Capacity in the Metric System
4-9 Integration: Measurement: Changing Metric Units
Chapter 5 Using Number Patterns, Fractions, and Ratios
5-1 Divisibility Patterns
5-2A Hands-On Lab: Cooperative Learning: Rectangular Arrays
5-2 Prime Factorization
5-3A Thinking Lab: Problem Solving: Make a List
5-3 Greatest Common Factor
5-4A Hands-On Lab: Cooperative Learning: Fractions and Ratios
5-4 Simplifying Fractions and Ratios
5-4B Hands-On Lab: Cooperative Learning: Experimental Probability
5-5 Mixed Numbers and Improper Fractions
Mid-Chapter Self Test
5-6 Integration: Measurement: Length in the Customary System
5-7 Least Common Multiple
5-8 Comparing and Ordering Fractions
5-9 Writing Decimals as Fractions
5-10 Writing Fractions as Decimals
Chapter 6 Adding and Subtracting Fractions
6-1 Rounding Fractions and Mixed Numbers
6-2 Estimating Sums and Differences
6-2B Thinking Lab: Problem Solving: Eliminate Possibilities
6-3 Adding and Subtracting Fractions with Like Denominators
6-4A Hands-On Lab: Cooperative Learning: Renaming Sums
6-4 Adding and Subtracting Fractions with Unlike Denominators
6-5 Adding and Subtracting Mixed Numbers
Mid-Chapter Self Test
6-6 Subtracting Mixed Numbers with Renaming
6-7 Integration: Measurement: Adding and Subtracting Measures of Time
Chapter 7 Multiplying and Dividing Fractions
7-1 Estimating Products
7-2A Hands-On Lab: Cooperative Learning: Multiplying Fractions
7-2 Multiplying Fractions
7-3 Multiplying Mixed Numbers
7-4 Integration: Geometry: Circles and Circumference
Mid-Chapter Self Test
7-5A Hands-On Lab: Cooperative Learning: Dividing Fractions
7-5 Dividing Fractions
7-6 Dividing Mixed Numbers
7-7 Integration: Measurement: Changing Customary Units
7-7B Hands-On Lab: Cooperative Learning: Measurement
7-8A Thinking Lab: Problem Solving: Look for a Pattern
7-8 Integration: Patterns and Functions: Sequences
7-8B Technology Lab: Spreadsheets: Sequences
Chapter 8 Exploring Ratio, Proportion, and Percent
8-1A Hands-On Lab: Cooperative Learning: Ratios
8-1 Ratios and Rates
8-1B Hands-On Lab: Cooperative Learning: Ratios and Probability
8-2 Solving Proportions
8-2B Technology Lab: Spreadsheets: Proportions
8-3A Thinking Lab: Problem Solving: Draw a Diagram
8-3 Integration: Geometry: Scale Drawings
Mid-Chapter Self Test
8-4A Hands-On Lab: Cooperative Learning: Modeling Percents
8-4 Percents and Fractions
8-5 Percents and Decimals
8-6 Estimating with Percents
8-7 Percent of a Number
Chapter 9 Geometry: Investigating Patterns
9-1 Angles
9-1B Thinking Lab: Problem Solving: Use Logical Reasoning
9-2 Using Angle Measures
9-3A Hands-On Lab: Cooperative Learning: Constructing Congruent Segments and Angles
9-3 Constructing Bisectors
9-4A Hands-On Lab: Cooperative Learning: Triangles and Quadrilaterals
9-4 Two-Dimensional Figures
Mid-Chapter Self Test
9-4B Hands-On Lab: Cooperative Learning: Using Nets to Wrap a Cube
9-5 Lines of Symmetry
9-6 Size and Shape
9-6B Hands-On Lab: Cooperative Learning: Translations and Escher Drawings
Chapter 10 Geometry: Understanding Area Volume
10-1A Hands-On Lab: Cooperative Learning: Area of Irregular Shapes
10-1 Area of Parallelograms
10-2 Area of Triangles
10-3 Area of Circles
10-3B Hands-On Lab: Cooperative Learning: Making Circle Graphs
10-4 Three-Dimensional Figures
10-4B Hands-On Lab: Cooperative Learning: Three-Dimensional Figures
10-5A Thinking Lab: Problem Solving; Make a Model
10-5 Volume of Rectangular Prisms
10-6 Surface Area of Rectangular Prisms
10-6B Technology Lab: Spreadsheets: Surface Area and Volume
Chapter 11 Algebra: Investigating Integers
11-1 Integers
11-2 Comparing and Ordering Integers
11-3A Hands-On Lab: Cooperative Learning: Zero Pairs
11-3 Adding Integers
11-4 Subtracting Integers
11-5 Multiplying Integers
11-6A Thinking Lab: Problem Solving: Work Backward
11-6 Dividing Integers
11-7 Integration: Geometry: The Coordinate System
11-8A Hands-On Lab: Cooperative Learning: Patty Paper Transformations
11-8 Integration: Geometry: Graphing Transformations
Chapter 12 Algebra: Exploring Equations
12-1 Solving Addition Equations
12-2 Solving Subtraction Equations
12-3 Solving Multiplication and Division Equations
12-4 Solving Two-Step Equations
12-4B Thinking Lab: Problem Solving: Use an Equation
12-5A Hands-On Lab: Cooperative Learning: Function Machines
12-5 Functions
12-6 Graphing Functions
Chapter 13 Using Probability
13-1A Hands-On Lab: Cooperative Learning: Fair and Unfair Games
13-1 Theoretical Probability
13-2A Thinking Lab: Problem Solving: Make a Table
13-2 Integration: Statistics: Making Predictions
13-3 Integration: Geometry: Probability and Area
13-3B Technology Lab: Graphing Calculators: Probability
13-4 Finding Outcomes
13-4B Hands-On Lab: Cooperative Learning: Simulations
13-5 Probability of Independent Events
