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The
following lessons
were created as
supplements for use
with Harcourt's "Harcourt
Math;
California
Edition"
by Singer
and
Maletsky
shown below. This
text is one of the
few on California's
state list of
approved textbooks
for elementary
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Unit 1: Use Whole
Numbers and Decimals
Place
Value of Whole Numbers:
1-1
Recognize Millions;
1-2
Millions and Billions;
1-3 Compare Numbers;
1-4 Order Numbers;
1-5 Problem Solving: Use
a Table
Place
Value of Decimals: 2-1
Tenths and Hundredths;
2-2
Thousandths and
Ten-Thousandths;
2-3 Equivalent Decimals;
2-4 Compare and Order
Decimals;
2-5 Problem Solving:
Draw Conclusions
Add
and Subtract Whole
Numbers: 3-1
Round Whole Numbers;
3-2
Estimate Sums and
Differences;
3-3 Add and Subtract
Whole Numbers;
3-4 Add and Subtract
Greater Numbers;
3-5 Problem Solving: Use
Logical Reasoning
Add
and Subtract Decimals:
4-1
Round Decimals; 4-2
Estimate Decimal Sums
and Differences;
4-3 Add and Subtract
Decimals;
4-4 Zeros in
Subtraction;
4-5 Problem Solving:
Estimate vs. Actual
Unit 2: Algebra, Data,
and Graphing
Algebra: Use Addition:
5-1
Expressions and
Variables; 5-2
Write Equations;
5-3 Solve Equations;
5-4 Use Addition
Properties;
5-5 Problem Solving: Use
a Formula
Algebra: Use
Multiplication: 6-1
Write and Evaluate
Expressions; 6-2
Problem Solving: Write
an Equation;
6-3 Use Multiplication
Properties;
6-4 The Distributive
Property
Analyze Data and Graphs:
7-1
Collect and Organize
Data; 7-2
Find the Mean;
7-3 Find the Median and
Mode;
7-4 Problem Solving:
Make a Graph;
7-5 Analyze Graphs
Make
Graphs: 8-1
Choose a Reasonable
Scale; 8-2
Problem Solving: Make a
Graph;
8-3 Graph Ordered Pairs;
8-4 Make Line Graphs;
8-5 Hands On:
Histograms; 8-6
Choose the Appropriate
Graph
Unit 3: Multiply Whole
Numbers and Decimals
Multiply Whole Numbers:
9-1
Estimation: Patterns in
Multiples; 9-2
Multiply by 1-Digit
Numbers;
9-3 Multiply by 2-Digit
Numbers; 9-4
Multiply Greater
Numbers;
9-5 Problem Solving:
Reasonable Answers
Multiply Decimals: 10-1
Hands On: Multiply
Decimals and Whole
Numbers; 10-2
Algebra: Patterns in
Decimal Factors and
Products;
10-3 Model Decimal
Multiplication;
10-4 Place the Decimal
Point;
10-5 Zeros in the
Product; 10-6
Problem Solving: Make
Decisions
Unit 4: Divide Whole
Numbers and Decimals
Divide by 1-Digit
Divisors: 11-1
Estimate Quotients;
11-2
Divide 3-Digit
Dividends;
11-3 Zeros in Division;
11-4 Divide Greater
Numbers;
11-5 Algebra:
Expressions and
Equations; 11-6
Problem Solving:
Find the Remainder
Divide by 2-Digit
Divisors: 12-1
Algebra: Patterns in
Division; 12-2
Estimate Quotients;
12-3 Divide 2-Digit
Divisors;
12-4 Correcting
Quotients; 12-5
Practice Division;
12-6 Problem Solving:
Predict and Test
Divide Decimals by Whole
Numbers: 13-1
Algebra: Patterns and
Decimal Division;
13-2
Hands On: Decimal
Division;
13-3 Divide Decimals by
Whole Numbers;
13-4 Problem Solving:
Work Backward and Draw a
Diagram; 13-5
Divide to Change a
Fraction to a Decimal
Divide Decimals by
Decimals: 14-1
Algebra: Patterns in
Decimal Division;
14-2
Hands On: Divide with
Decimals;
14-3 Decmal Division;
14-4 Problem Solving:
Choose the Operation
Unit 5: Fractions,
Ratio, and Percent
Number Theory: 15-1
Divisibility; 15-2
Hands On: Multiples and
Least Common Multiples;
15-3 Greatest Common
Factor;
15-4 Problem Solving:
Identify Relationships;
15-5 Hands On: Prime and
Composite Numbers;
15-6
Exponents; 15-7
Evaluate Expression with
Exponents; 15-8
Exponents and Prime
Factors
Fraction Concepts: 16-1
Relate Decimals to
Fractions; 16-2
Equivalent Fractions;
16-3
Compare and Order
Fractions;
16-4 Simplest Form; 16-5
Understand Mixed
Numbers; 16-6
Problem Solving: Make a
Model
Ratio: 17-1
Hands On: Recognize
Ratios; 17-2
Express Ratios;
17-3 Equivalent Ratios;
17-4 Scale Drawings;
17-5
Problem Solving: Too
Much/ Too Little
Information
Percent: 18-1
Hands On: Recognize
Percents; 18-2
Relate Decimals and
Percents;
18-3 Relate Fractions,
Decimals, and Percents;
18-4 Find the Percent of
a Number; 18-5
Mental Math: Percent of
a Number; 18-6
Problem Solving: Make a
Graph; 18-7
Compare Data Sets
Unit 6: Operations with
Fractions
Add
and Subtract Fractions:
19-1
Add and Subtract Like
Fractions; 19-2
Hands On: Add Unlike
Fractions;
19-3 Hands On:
Subtract Unlike
Fractions;
19-4 Estimate Sums and
Differences;
19-5 Use Least Common
Denominators; 19-6
Add and Subtract Unlike
Fractions; 19-7
Problem Solving: Work
Backward
Add
and Subtract Mixed
Numbers: 20-1
Add Mixed Numbers;
20-2
Subtract Mixed Numbers;
20-3
Hands On: Subtract with
Renaming;
20-4 Practice with Mixed
Numbers; 20-5
Problem Solving:
Multistep Problems
Multiply Fractions:
21-1
Multiply Fractions and
Whole Numbers; 21-2
Multiply a Fraction by a
Fraction;
21-3 Multiply Fractions
and Mixed Numbers;
21-4 Multiply with Mixed
Numbers; 21-5
Problem Solving:
Sequence and Prioritize
Information
Divide Fractions: 22-1
Hands On: Divide
Fractions; 22-2
Reciprocals;
22-3 Divide Whole
Numbers by Fractions;
22-4 Divide Fractions;
22-5
Problem Solving: Solve a
Simpler Problem
Unit 7: Algebra and
Geometry
Algebra: Integers: 23-1
Integers; 23-2
Compare and Order
Integers;
23-3 Add Integers;
23-4 Hands On: Subtract
Integers;
23-5 Subtract Integers;
23-6 Problem Solving:
Draw a Diagram
Geometry and the
Coordinate Plane: 24-1
Graph Relationships;
24-2
Graph Integers in the
Coordinate Plane; 24-3
Use an Equation to
Graph; 24-4 Problem
Solving: Relevant or
Irrelevant Information
Plane
Figures: 25-1
Lines and Angles;
25-2
Hands On: Measure and
Draw Angles;
25-3 Angles and
Polygons;
25-4 Circles; 25-5
Congruent and Similar
Figures; 25-6
Symmetric Figures;
25-7
Problem Solving: Find a
Pattern
Classify Plane and Solid
Figures: 26-1
Triangles; 26-2
Quadrilaterals;
26-3 Hands On: Algebra -
Transformations;
26-4 Solid Figures;
26-5 Hands On: Draw
Solid Figures from
Different Views; 26-6
Problem Solving: Make
Generalizations
Unit 8: Measurement
Customary and Metric
Systems: 27-1
Hands On: Customary
Length; 27-2
Hands On: Metric Length;
27-3 Change Linear
Units;
27-4 Customary Capacity
and Weight;
27-5 Metric Capacity and
Mass; 27-6
Time; 27-7 Problem
Solving: Make a Table
Perimeter and Area:
28-1
Perimeter; 28-2
Hands On: Circumference;
28-3
Area of Squares and
Rectangles; 28-4
Hands On: Compare Perimter
and Area; 28-5
Area of Triangles;
28-6
Area of Parallelograms
28-7 Problem Solving:
Solve a Simpler Problem
Surface Area and Volume:
29-1
Nets for Solid Figures;
29-2
Surface Area;
29-3 Volume;
29-4 Measure Perimeter,
Area, and Volume;
29-5 Problem Solving:
Use a Formula
Unit 9: Probability
Probability: 30-1
Hands On: Probability
Experiments; 30-2
Outcomes;
30-3 Probability
Expressed as a Fraction;
30-4 Compare
Probabilities;
30-5 Problem Solving:
Make an Organized List |