Click below to expand each book. Included are the Units and Lessons from the Table of Contents from each series:
- Primary Mathematics is published by Singapore Math, Inc.
- Math in Focus is published by Houghton Mifflin Harcourt
Lesson Sequence by book
Primary Mathematics Common Core 1A
Unit 1 Numbers to 10
Counting
Unit 2 Number Bonds
Making Number Stories
Unit 3 Addition
Making Addition Stories
Methods of Addition
Unit 4 Subtraction
Making Subtraction Stories
Methods of Subtraction
Unit 5 Ordinal Numbers
Naming Position
Unit 6 Numbers to 20
Counting and Comparing
Addition and Subtraction
Unit 7 Shapes
Common Shapes
Unit 8 Length
Compare lengths
Measuring Length
Unit 9 Comparing Numbers
Comparing Numbers
Comparison by Subtraction
Unit 10 Graphs
Graphs
Math in Focus 1A
Unit 1 Numbers to 10
Counting to 10
Comparing Numbers
Making Number Patterns
Unit 2 Number Bonds
Making Number Bonds
Unit 3 Addition Facts to 10
Ways to Add
Making Addition Stories
Real-World Problems: Addition
Unit 4 Subtraction Facts to 10
Ways to Subtract
Making Subtraction Stories
Real-World Problems: Subtraction
Making Fact Families
Unit 5 Shapes and Patterns
Exploring Planes Shapes
Exploring Solid Shapes
Making Pictures and Models with Shapes
Seeing Shapes Around Us
Making Patterns with Plane Shapes
Making Patterns with Solid Shapes
Unit 6 Ordinal Numbers and Position
Ordinal Numbers
Position Words
Unit 7 Numbers to 20
Counting to 20
Place Value
Comparing Numbers
Making Patterns and Ordering Numbers
Unit 8 Addition and Subtraction Facts to 20
Ways to Add
Ways to Subtract
Real-World Problems: Addition and Subtraction Facts
Unit 9 Length
Comparing Two Things
Comparing More Than Two Things
Using a Start Line
Measuring Things
Finding Length in Units
Primary Mathematics Common Core 1B
Unit 11 Numbers to 40
Counting
Tens and Ones
Comparing Numbers
Addition and Subtraction
Adding Three Numbers
Unit 12 Multiplication
Adding Equal Groups
Making Multiplication Stories
Multiplication Within 40
Unit 13 Division
Sharing and Grouping
Unit 14 Halves and Fourths
Making Halves and Fourths
Unit 15 Time
Telling Time
Estimating Time
Unit 16 Numbers to 120
Tens and Ones
Count past 100
Estimation
Order of Numbers
Comparing Numbers
Addition Within 100
Subtraction Within 100
Unit 17 Money
Bills and Coins
Shopping
Math in Focus 1B
Unit 10 Weight
Comparing Things
Finding the Weight of Things
Find Weight in Units
Unit 11 Picture Graphs and Bar Graphs
Simple Picture Graphs
More Picture Graphs
Tally Chart and Bar Graphs
Unit 12 Numbers to 40
Counting to 40
Place Value
Comparing, Ordering and Patterns
Unit 13 Addition and Subtraction to 40
Addition Without Regrouping
Addition With Regrouping
Subtraction Without Regrouping
Subtraction With Regrouping
Adding Three Numbers
Real-World Problems: Addition and Subtraction
Unit 14 Mental Math Strategies
Mental Addition
Mental Subtraction
Unit 15 Calendar and Time
Using a Calendar
Telling Time to the Hour
Telling Time to the Half Hour
Unit 16 Numbers to 100
Counting to 100
Place Value
Comparing, Ordering and Patterns
Unit 17 Addition and Subtraction to 100
Addition Without Regrouping
Addition With Regrouping
Subtraction Without Regrouping
Subtraction With Regrouping
Unit 18 Multiplication and Division
Adding the Same Number
Sharing Equally
Finding the Number of Groups
Unit 18 Multiplication and Division
Adding the Same Number
Sharing Equally
Finding the Number of Groups
Unit 19 Money
Penny, Nickel , and Dime
Quarter
Counting Money
Adding and Subtracting Money
Primary Mathematics Common Core 2A
Unit 1 Numbers to 1,000
Looking Back
Hundreds, Tens, and Ones
Comparing Numbers
Unit 2 Addition and Subtraction
Looking Back
Addition Without Renaming
Subtraction Without Renaming
Addition With Renaming
Subtraction With Renaming
Unit 3 Length
Measuring Length
Measuring Length in Meters
Measuring Length in Centimeters
Other Units of Measure
Unit 4 Mass
Measuring Mass in Kilograms
Measuring Mass in Grams
Measuring Weight in Pounds and Ounces
Unit 5 Multiplication and Division
Multiplication
Division
Unit 6 Multiplication Tables of 2 and 3
Multiplication Table of 2
Multiplication Table of 3
Dividing by 2
Dividing by 3
Remainders
Math in Focus 2A
Unit 1 Numbers to 1,000
Counting
Place Value
Comparing Numbers
Order and Pattern
Unit 2 Addition up to 1,000
Addition Without Regrouping
Addition with Regrouping in Ones
Addition with Regrouping in Tens
Addition with Regrouping in Ones and Tens
Unit 3 Subtraction up to 1,000
Subtraction Without Regrouping
Subtraction with Regrouping in Tens and Ones
Subtraction With Regrouping in Hundreds and Tens
Subtraction with Regrouping in Hundreds, Tens and Ones
Subtraction Across Zeros
Unit 4 Using Bar Models: Addition and Subtraction
Using Part-Part -Whole in Addition and Subtraction
Adding On and Taking Away Sets
Comparing Two Sets
Real-World Problems: Two-Step Problems
Unit 5 Multiplication and Division
How to Multiply
How to Divide
Real-World Problems: Multiplication and Division
Unit 6 Multiplication Tables of 2, 5, and 10
Multiplying 2: Skip-Counting
Multiplying 2: Using Dot Paper
Multiplying 5: Skip-Counting
Multiplying 5: Using Dot Paper
Multiplying 10: Skip-Counting and Using Dot Paper
Divide Using Related Multiplication Facts
Unit 7 Metric Measurement of Length
Measuring in Meters
Comparing Lengths in Meters
Measuring in Centimeters
Comparing Lengths in Centimeters
Real-World Problems: Metric Length
Unit 8 Metric Measurement of Mass
Measuring in Kilograms
Comparing Mass in Kilograms
Measuring in Grams
Comparing Mass in Grams
Real-World Problems: Mass
Unit 9 Volume
Getting to Know Volume
Measuring in Liters
Real-World Problems: Volume
Primary Mathematics Common Core Edition 2B
Unit 7 Addition and Subtraction
Finding the Missing Number
Methods for Mental Addition
Methods for Mental Subtraction
Unit 8 Multiplication and Division
Multiplying and Dividing by 4
Multiplying and Dividing by 5
Multiplying and Dividing by 10
Unit 9 Money
Dollars and Cents
Adding Money
Subtracting Money
Unit 10 Fractions
Halves and Quarters
Writing Fractions
Unit 11 Time
Telling Time After the Hour
Telling Time Before the Hour
Time Intervals
Other Units of Time
Unit 12 Capacity
Comparing Capacity
Liters
Gallons, Quarts, Cups, and Pints
Unit 13 Tables and Graphs
Picture Graphs
Bar Graphs
Line Plots
Unit 14 Geometry
Flat and Curved Faces
Making Shapes
Angles and Shapes
Math in Focus 2B
Unit 10 Mental Math and Estimation
Meaning of Sum
Mental Addition
Meaning of Difference
Mental Subtraction
Rounding Numbers to Estimate
Unit 11 Money
Coins and Bills
Comparing Amounts of Money
Real-World Problems: Money
Unit 12 Fractions
Understanding Fractions
Comparing Fractions
Adding and Subtracting Like Fractions
Unit 13 Customary Measurement of Length
Measuring in Feet
Comparing Lengths in Feet
Measuring in Inches
Comparing Lengths in Inches
Real-World Problems: Customary Length
Unit 14 Time
The Minute Hand
Reading and Writing Time
Using A.M and P.M.
Elapsed Time
Unit 15 Multiplication Tables of 3 and 4
Multiplying 2: Skip-Counting
Multiplying 2: Using Dot Paper
Multiplying 3: Skip-Counting
Multiplying 4: Using Dot Paper
Divide Using Related Multiplication Facts
Unit 16 Using Bar Models: Multiplication and Division
Real-World Problems: Multiplication
Real-World Problems: Division
Real-World Problems: Measurement and Money
Unit 17 Picture Graphs
Reading Picture Graphs with Scales
Making Picture Graphs
Real-World Problems: Picture Graphs
Unit 18 Lines and Surfaces
Parts of Lines and Curves
Flat and Curved Surfaces
Symmetry
Unit 19 Shapes and Patterns
Plane Shapes
Solid Shapes
Making Patterns
Primary Mathematics Common Core 3A
Unit 1 Numbers to 10,000
Thousands, Hundreds, Tens and Ones
Number Patterns
Rounding Numbers
Unit 2 Addition and Subtraction
Mental Calculation
Looking Back: Addition and Subtraction
Sum and Difference
Word problems
Adding Ones, Tens, Hundreds, and Thousands
Subtracting Ones, Tens, Hundreds, and Thousands
Two-Step Word Problems
Unit 3 Multiplication and Division
Looking Back
More Word Problems
Multiplying Ones, Tens, and Hundreds
Quotient and Remainder
Dividing Hundreds, Tens, and Ones
Unit 4 Multiplication Tables of 6, 7, 8, and 9
Multiplying and Dividing by 6
Multiplying and Dividing by 7
Multiplying and Dividing by 8
Multiplying and Dividing by 9
Unit 5 Length
Meters and Centimeters
Kilometers
Other Units of Length
Math in Focus 3A
Unit 1 Numbers to 10,000
Counting
Place Value
Comparing and Ordering Numbers
Unit 2 Mental Math and Estimation
Mental Addition
Mental Subtraction
More Mental Addition
Rounding Numbers to Estimate
Using Front End Estimation
Unit 3 Addition up to 10,000
Addition Without Regrouping
Addition with Regrouping in Hundreds
Addition with Regrouping in Ones, Tens, Hundreds
Unit 4 Subtraction up to 10,000
Subtraction Without Regrouping
Subtraction with Regrouping in Hundreds and Thousands
Subtraction With Regrouping in Ones, Tens, Hundreds and Thousands
Subtraction Across Zeros
Unit 5 Using Bar Models: Addition and Subtraction
Real-World Problems: Addition and Subtraction
Addition
Subtraction
Unit 6 Multiplication Tables of 6, 7, 8, and 9
Multiplication Properties
Multiply By 6
Multiply By 7
Multiply By 8
Multiply By 9
Division: Finding the Number of Items in Each Group
Division: Making Equal Groups
Subtraction
Unit 7 Multiplication
Mental Multiplication
Multiplying Without Regrouping
Multiplying Ones, Tens and Hundreds with Regrouping
Unit 8 Division
Mental Division
Quotient and Remainder
Odd and Even Numbers
Division Without Remainder and Regrouping
Division With Regrouping in Tens and Ones
Unit 9 Using Bar Models: Multiplication and Division
Real-World Problems: Multiplication
Real-World Problems: Two-Step Problems with Multiplication
Real-World Problems: Division
Real-World Problems: Two-Step Problems with Division
Primary Mathematics Common Core Edition 3B
Unit 6 Mass and Weight
Looking Back on Mass
Measuring Mass in Kilograms
Measuring Mass in Grams
Kilograms and Grams
Word Problems
Measuring Weight in Pounds and Ounces
Unit 7 Capacity
Comparing Capacity
Liters
Liters and Milliliters
Gallons, Quarts, Pints, and Cups
Unit 8 Money
Dollars and Cents
Addition
Subtraction
Unit 9 Fractions
Fraction of a Whole
Equivalent Fractions
Fractions and Measurements
Fraction of a Set
Unit 10 Time
Hours and Minutes
Other Units of Time
Unit 11 Data Analysis
Presenting Data
Unit 12 Geometry
Right Angles and Shapes
Unit 13 Area and Perimeter
Area
Perimeter
Area of a Rectangle
Composite Figures
Math in Focus 3B
Unit 10 Money
Addition
Subtraction
Real-World Problems: Money
Unit 11 Metric Length, Mass, and Volume
Meters and Centimeters
Kilometers and Meters
Kilograms and Grams
Liters and Milliliters
Unit 12 Real-World Problems: Measurement
Real-World Problems: Two-Step Problems
Real-World Problems: One-Step Problems
Unit 13 Bar Graphs and Line Plots
Making Bar Graphs with Scales
Reading and Interpreting Bar Graphs
Line Plots
Unit 14 Fractions
Understanding Fractions
Understanding Equivalent Fractions
More Equivalent Fractions
Comparing Fractions
Adding and Subtracting Like Fractions
Fraction of a Set
Unit 15 Customary Length, Weight, and Capacity
Measuring Length
Measuring Weight
Measuring Capacity
Unit 16 Time and Temperature
Telling Time
Converting Hours and Minutes
Adding Hours and Minutes
Subtracting Hours and Minutes
Elapsed Time
Measuring Temperature
Real-World Problems: Time and Temperature
Unit 17 Angles and Lines
Understanding and Identifying Angles
Right Angles
Perpendicular Lines
Parallel Lines
Unit 18 Two-Dimensional Shapes
Classifying Polygons
Congruent Figures
Symmetry
Unit 19 Area and Perimeter
Area
Square Units cm2 and in2
Square Units m2 and ft2
Area and Perimeter
More Perimeter
Primary Mathematics Common Core 4A
Unit 1 Whole Numbers
Numbers to 1,000,000
Approximation
Factors
Multiples
Order of Operations
Unit 2 Four Operations of Whole Numbers
Addition and Subtraction
Multiplication by a 1-digit Number
Division by Ones and Tens
Multiplication by a 2-digit Number
Unit 3 Fractions
Equivalent Fractions
Adding and Subtracting Like Fractions
Mixed Numbers
Improper Fractions
Fractions and Division
Unit 4 Operations on Fractions
Adding and Subtracting Related Fractions
Adding and Subtracting Mixed Numbers
Multiplying a Fraction and a Whole Number
Fraction of a Set
Unit 5 Measure
Looking Back
Multiplying and Dividing Compound Measures
Measures and Fractions
Math in Focus 4A
Unit 1 Place Value of Whole Numbers
Numbers to 100,000
Comparing Numbers to 100,000
Unit 2 Estimation and Number Theory
Estimation
Factors
Multiples
Unit 3 Whole Number Multiplication and Division
Multiplying by a 1-digit Number
Multiplying by a 2-digit Number
Modeling Division with Regrouping
Dividing by a 1-digit Number
Real-World Problems: Multiplication and Division
Unit 4 Table and Line Graphs
Making and Interpreting a Table
Using a Table
Line Graphs
Unit 5 Data and Probability
Average
Median, Mode and Range
Stem and Leaf Plots
Outcomes
Probability as a Fraction
Real-World Problems: Data and Probability
Unit 6 Fractions and Mixed numbers
Adding Fractions
Subtracting Fractions
Mixed Numbers
Improper Fractions
Renaming Improper Fractions and Mixed Numbers
Renaming Whole Numbers when Adding and Subtracting Fractions
Real-World Problems: Fractions
Primary Mathematics Common Core Edition 4B
Unit 6 Decimals
Tenths
Hundredths
Thousandths
Rounding
Unit 7 Four Operations of Decimals
Addition and Subtraction
Multiplication
Division
Unit 8 Geometry
Points, Lines, Line Segments, Rays, and Angles
Right Angles
Measuring Angles
Perpendicular Lines
Parallel Lines
Quadrilaterals
Triangles
Line Symmetry
Unit 9 Area and Perimeter
Area of a Rectangle
Composite Figures
Unit 10 Bar Graphs and Line Plots
Bar Graphs
Line Plots
Unit 11 Volume
Cubic Units
Volume of a Cuboid
Math in Focus 4B
Unit 7 Decimals
Understanding Tenths
Understanding Hundredths
Comparing Decimals
Rounding Decimals
Fractions and Decimals
Unit 8 Adding and Subtracting Decimals
Adding Decimals
Subtracting Decimals
Real-World Problems: Decimals
Unit 9 Angles
Understanding and Measuring Angles
Drawing Angles to 180°
Turns and Right Angles
Unit 10 Perpendicular and Parallel Line Segments
Drawing Perpendicular Line Segments
Drawing Parallel Line Segments
Horizontal and vertical Lines
Unit 11 Squares and Rectangles
Squares and Rectangles
Properties of Squares and Rectangles
Unit 12 Area and Perimeter
Area of a Rectangle
Rectangles and Squares
Composite Figures
Using Formulas for Area and Perimeter
Unit 13 Symmetry
Identifying Lines of Symmetry
Rotational Symmetry
Making Symmetric Shapes and Pattern
Unit 14 Tessellations
Identifying Tessellations
More Tessellations
Primary Mathematics Common Core Edition 5A
Unit 1 Whole Numbers
Large Numbers
Approximation and Estimation
Factors & Multiples
Prime Factorization
Multiplying by Tens, Hundreds, or Thousands
Dividing by Tens, Hundreds, or Thousands
Unit 2 More Calculations with Whole Numbers
Order of Operations
Methods for Mental Calculation
Looking Back: Word Problems
Multiplication by a 2-digit Whole Number
Division by a 2-digit Whole Number
Unit 3 Fractions
Looking Back
Fractions and Division
Addition and Subtraction of Unlike Fractions
Addition and Subtraction of Mixed Numbers
Product of a Fraction and a Whole Number
Word Problems
Unit 4 Multiply and Divide Fractions
Product of Fractions
Word Problems
Dividing a Fraction by a Whole Number
Dividing by a Fraction
More Word Problems
Unit 5 Perimeter and Area
Square Units
Area of Composite Figures – Rectangles and Squares
Area of a Triangle
Area of a Parallelogram
Unit 6 Ratio
Finding Ratio
Equivalent Ratio
Combining Three Quantities
Math in Focus 5A
Unit 1 Whole Numbers
Numbers to 10,000,000
Place Value
Comparing Numbers to 10,000,000
Rounding and Estimating
Unit 2 Whole Number Multiplication and Division
Using a Calculator
Multiplying by Tens, Hundreds, or Thousands
Multiplying by a 2-digit Number
Dividing by Tens, Hundreds, or Thousands
Dividing by a 2-digit Number
Order of Operations
Real-World Problems: Multiplication and Division
Unit 3 Fractions and Mixed Numbers
Adding Unlike Fractions
Subtracting Unlike Fractions
Fractions, Mixed Numbers, and Division Expressions
Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals
Adding Mixed Numbers
Subtracting Mixed Numbers
Real-World Problems: Fractions and Mixed Numbers
Unit 4 Multiplying and Dividing Fractions and Mixed numbers
Multiplying Proper Fractions
Real-World Problems: Multiplying with Proper Fractions
Multiplying Improper Fractions by Fractions
Multiplying Mixed Numbers and Whole Numbers
Real-World Problems: Multiplying with Mixed Numbers
Unit 5 Algebra
Using Letters as Numbers
Simplifying Algebraic Expressions
Inequalities and Equations
Real-World Problems: Algebra
Unit 6 Area of a Triangle
Base and Height of a Triangle
Finding the Area of a Triangle
Unit 7 Ratio
Finding Ratio
Equivalent Ratio
Real-World Problems: Ratio
Ratio in Fraction Form
Combining Three Quantities
Real-World Problems: More Ratio
Primary Mathematics Common Core Edition 5B
Unit 7 Decimals
Tenths, Hundredths, and Thousandths
Approximation
Add and Subtract Decimals
Multiply and Divide Decimals by a 1-digit Whole Number
Multiplication by Tens, Hundreds or Thousands
Division by Tens, Hundreds or Thousands
Unit 8 More Calculations
Multiplication by a 2-digit Whole Number
Division by a 2-digit Whole Number
Multiplication by a Decimal
Division by a Decimal
Conversion of Measures
Unit 9 Volume
Cubic Units
Volume of Rectangular Solids
Finding the Volume of a Solid
Unit 10 Average, Plots and Graphs
Average
Line Plots
Coordinate Graphs
Line Graphs
Unit 11 Angles, Triangles and Quadrilaterals
Looking Back
Finding Unknown Angles
Finding Unknown Angles in Triangles
Finding Unknown Angles in Quadrilaterals
Unit 12 Percentage
Percent
Writing Fractions as Percentages
Percentage of a Quantity
Unit 13 Rate
Rate
Math in Focus 5B
Unit 8 Decimals
Understanding Thousandths
Comparing and Rounding Decimals
Rewriting Decimals as Fractions and Mixed Numbers
Unit 9 Multiplying and Dividing Decimals
Multiplying Decimals
Multiplying by Tens, Hundreds or Thousands
Dividing Decimals
Dividing by Tens, Hundreds or Thousands
Estimating Decimals
Real-World Problems: Decimals
Unit 11 Graphs and Probability
Making and Interpreting Double Bar Graphs
Graphing an Equation
Combinations
Theoretical Probability and Experimental Probability
Unit 12 Angles
Angles on a Line
Angles at a Point
Vertical Angles
Unit 13 Properties of Triangles and Four-sided Figures
Classifying Triangles
Measures of Angles in a Triangle
Right, Isosceles, and Equilateral Triangles
Triangle Inequalities
Parallelogram, Rhombus, and Trapezoid
Unit 14 Three-Dimensional Shapes
Prisms and Pyramids
Cylinder, Sphere, and Cone
Unit 15 Surface Area and Volume
Building Solids using Unit Cubes
Drawing Cubes and Rectangular Prisms
Nets and Surface Area
Understanding and Measuring Volume
Volume of a Rectangular Prism and Liquid
