#### Product Information

## Table of Contents

The content in ALPHA Mathematics covers the four strands of mathematics across five grades/year levels: Numbers and Operations, Measurement, Geometry and Data Analysis. Strands are colour coded for easy reference. Explore the details that make up ALPHA Mathematics by grade/year level or by strands.

- All Grades/Year
- Grade/Year 1
- Grade/Year 2
- Grade/Year 3
- Grade/Year 4
- Grade/Year 5

#### Grade/Year 1

**Chapter 1**: Numbers 0 to 10Lesson 1: Counting and Comparing

**Chapter 2**: Number BondsLesson 1: Telling Number Stories

**Chapter 3**: AdditionLesson 1: Making Addition Stories

Lesson 2: Addition with Number Bonds

Lesson 3: Other Methods of Addition

**Chapter 4**: SubtractionLesson 1: Making Subtraction Stories

Lesson 2: Subtraction with Number Bonds

Lesson 3: Other Methods of Subtraction

**Chapter 5**: Ordinal Numbers and PositionsLesson 1: Naming Positions

Lesson 2: Problem Solving

**Chapter 6**: Numbers to 20Lesson 1: Counting and Comparing

**Chapter 7**: Addition and Subtraction Within 20Lesson 1: Addition Within 20

Lesson 2: Subtraction Within 20

Lesson 3: Problem Solving

**Chapter 8**: Plane and Solid ShapesLesson 1: Basic Plane Shapes

Lesson 2: Basic Solid Shapes

Lesson 2: Patterns of Shapes

Lesson 3: Problem Solving

**Chapter 9**: LengthLesson 1: Comparing Length

Lesson 2: Measuring Length

Lesson 3: Problem Solving

**Chapter 10**: WeightLesson 1: Comparing Weight

Lesson 2: Measuring Weight

Lesson 3: Problem Solving

**Chapter 11**: Comparing NumbersLesson 1: Comparing Numbers

Lesson 2: Comparison by Subtraction

Lesson 3: Problem Solving

**Chapter 12**: GraphsLesson 1: Tally Charts

Lesson 2: Picture Graphs

**Chapter 13**: Numbers to 100Lesson 1: Counting and Comparing

Lesson 2: Tens and Ones

Lesson 3: Order of Numbers

**Chapter 14**: Addition and Subtraction Within 100Lesson 1: Addition and Subtraction Without Regrouping

Lesson 2: Addition and Subtraction With Regrouping

Lesson 3: Adding Three Numbers

Lesson 4: Problem Solving

**Chapter 15**: Halves and QuartersLesson 1: Halves and Quarters

Lesson 2: Problem Solving

**Chapter 16**: Calendar and TimeLesson 1: Reading a Calendar

Lesson 2: Telling Time

**Chapter 17**: MoneyLesson 1: Notes and Coins

Lesson 2: Problem Solving

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#### Grade/Year 2

**Chapter 1**: Numbers to 1000Lesson 1: Hundreds, Tens and Ones

Lesson 2: Comparing Numbers

**Chapter 2**: Addition and SubtractionLesson 1: Addition Without Regrouping

Lesson 2: Subtraction Without Regrouping

Lesson 3: Addition with Regrouping

Lesson 4: Subtraction with Regrouping

Lesson 5: Problem Solving

**Chapter 3**: LengthLesson 1: Length in Metres

Lesson 2: Length in Centimetres

Lesson 3: Problem Solving

**Chapter 4**: WeightLesson 1: Weight in Kilograms

Lesson 2: Weight in Grams

Lesson 3: Problem Solving

**Chapter 5**: MultiplicationLesson 1: Adding Equal Groups

Lesson 2: Making Multiplication Stories

Lesson 3: Multiplication Within 40

**Chapter 6**: DivisionLesson 1: Sharing and Grouping

Lesson 2: Division Within 40

**Chapter 7**: Multiplication Tables of 2, 5 and 10Lesson 1: Multiplying by 2

Lesson 2: Multiplying by 5

Lesson 3: Multiplying by 10

Lesson 4: Dividing by 2

Lesson 5: Dividing by 5

Lesson 6: Dividing by 10

Lesson 7: Problem Solving

**Chapter 8**: Addition and Subtraction StrategiesLesson 1: Finding the Missing Number

Lesson 2: Mental Addition

Lesson 3: Mental Subtraction

**Chapter 9**: Multiplication Tables of 3###### and 4

Lesson 1: Multiplying by 3

Lesson 2: Multiplying by 4

Lesson 3: Dividing by 3

Lesson 4: Dividing by 4

Lesson 5: Problem Solving

**Chapter 10**: MoneyLesson 1: Rupees and Paise

Lesson 2: Problem Solving

**Chapter 11**: FractionsLesson 1: Halves and Quarters

Lesson 2: Fraction of a Whole

Lesson 3: Problem Solving

**Chapter 12**: TimeLesson 1: Telling Time

Lesson 2: Time Intervals

Lesson 3: Other Units of Time

Lesson 4: Problem Solving

**Chapter 13**: GraphsLesson 1: Picture Graphs

Lesson 2: Problem Solving

**Chapter 14**: Plane ShapesLesson 1: Line Segments and Curves

Lesson 2: Forming Shapes

Lesson 3: Patterns of Plane Shapes

Lesson 3: Problem Solving

**Chapter 15**: Solid ShapesLesson 1: Properties of Solids

Lesson 2: Solid Figures

Lesson 3: Patterns of Solid Shapes

Lesson 4: Problem Solving

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#### Grade/Year 3

**Chapter 1**: Numbers to 10, 000Lesson 1: Thousands, Hundreds, Tens and Ones

Lesson 2: Number Patterns

**Chapter 2**: Addition and SubtractionLesson 1: Sum and Difference

Lesson 2: Adding Ones, Tens, Hundreds and

ThousandsLesson 3: Subtracting Ones, Tens, Hundreds and Thousands

Lesson 4: Problem Solving

**Chapter 3**: Multiplication and DivisionLesson 1: Multiplying Ones, Tens and Hundreds

Lesson 2: Quotient and Remainder

Lesson 3: Dividing Hundreds, Tens and Ones

Lesson 4: Problem Solving

**Chapter 4**: Multiplication Tables of 6, 7, 8 and 9Lesson 1: Multiplying and Dividing by 6

Lesson 2: Multiplying and Dividing by 7

Lesson 3: Multiplying and Dividing by 8

Lesson 4: Multiplying and Dividing by 9

Lesson 5: Problem Solving

**Chapter 5**: MoneyLesson 1: Rupees and Paise

Lesson 2: Adding Amounts of Money

Lesson 3: Subtracting Amounts of Money

Lesson 4: Problem Solving

**Chapter 6**: Mental MathsLesson 1: Mental Addition

Lesson 2: Mental Subtraction

Lesson 3: Mental Multiplication

Lesson 4: Mental Division

**Chapter 7**: GraphsLesson 1: Block Graphs

Lesson 2: Bar Graphs

**Chapter 8**: LengthLesson 1: Metres and Centimetres

Lesson 2: Kilometres

Lesson 3: Millimetres

Lesson 4: Problem Solving

**Chapter 9**: MassLesson 1: Kilograms and Grams

Lesson 2: Problem Solving

**Chapter 10**: Volume and CapacityLesson 1: Volume

Lesson 2: Litres

Lesson 3: Litres and Millilitres

Lesson 4: Problem Solving

**Chapter 11**: FractionsLesson 1: Fraction of a Whole

Lesson 2: Equivalent Fractions

Lesson 3: Adding Fractions

Lesson 4: Subtracting Fractions

Lesson 5: Problem Solving

**Chapter 12**: TimeLesson 1: Hours and Minutes

Lesson 2: Other Units of Time

Lesson 3: Problem Solving

**Chapter 13**: GeometryLesson 1: Angles

Lesson 2: Right Angles

Lesson 3: Problem Solving

**Chapter 14**: Perpendicular and Parallel Line SegmentsLesson 1: Perpendicular Line Segments

Lesson 2: Parallel Line Segments

Lesson 3: Horizontal and Vertical Line Segments

Lesson 3: Problem Solving

**Chapter 15**: AreaLesson 1: Square Units

Lesson 2: Area in Square Centimetres and Square Metres

Lesson 3: Problem Solving

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#### Grade/Year 4

**Chapter 1:**Whole NumbersLesson 1: Numbers to 1,00,000 (1 Lakh)

Lesson 2: Rounding Numbers

Lesson 3: Factors

Lesson 4: Multiples

**Chapter 2:**Multiplication and Division of Whole NumbersLesson 1: Multiplication by 1-digit Numbers

and by 10Lesson 2: Division by 1-digit Numbers and by 10

Lesson 3: Multiplication by 2-digit Whole Numbers

Lesson 4: Problem Solving

**Chapter 3:**FractionsLesson 1: Mixed Numbers

Lesson 2: Improper Fractions

Lesson 3: Addition of Fractions

Lesson 4: Subtraction of Fractions

Lesson 5: Product of a Fraction and a Whole Number

Lesson 6: Conversion of Measurements

Lesson 7: Problem Solving

**Chapter 4:**Tables and GraphsLesson 1: Presenting Data

Lesson 2: Problem Solving

**Chapter 5**: AnglesLesson 1: Angle Measures

Lesson 2: Turns and 8-point Compass

Lesson 3: Problem Solving

**Chapter 6**: Perpendicular and Parallel Line SegmentsLesson 1: Drawing Perpendicular Line Segments

Lesson 2: Drawing Parallel Line Segments

**Chapter 7**: Squares and RectanglesLesson 1: Properties of Squares and Rectangles

Lesson 2: Drawing Four-Sided Figures

**Chapter 8**: Area and PerimeterLesson 1: Perimeter

Lesson 2: Area of a Rectangle

Lesson 3: Squares and Rectangles

Lesson 4: Composite Figures

Lesson 5: Problem Solving

**Chapter 9:**DecimalsLesson 1: Tenths

Lesson 2: Hundredths

Lesson 3: Thousandths

Lesson 4: Rounding

**Chapter 10:**The Four Operations of DecimalsLesson 1: Addition

Lesson 2: Subtraction

Lesson 3: Multiplication

Lesson 4: Division

Lesson 5: Problem Solving

**Chapter 11:**MeasuresLesson 1: Multiplication

Lesson 2: Division

Lesson 3: Problem Solving

**Chapter 12:**SymmetryLesson 1: Symmetric Figures

Lesson 2: Problem Solving

**Chapter 13**: GraphsLesson 1: Line Graphs

**Chapter 14**: TimeLesson 1: Seconds

Lesson 2: 24-hour Clock

Lesson 3: Problem Solving

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#### Grade/Year 5

**Chapter 1:**Whole NumbersLesson 1: Numbers to 10,00,00,000

Lesson 2: Approximation and Estimation

Lesson 3: Factors

Lesson 4: Multiples

**Chapter 2:**Multiplication and Division of Whole NumbersLesson 1: Multiplying by Tens, Hundreds or Thousands

Lesson 2: Dividing by Tens, Hundreds or Thousands

Lesson 3: Order of Operations

Lesson 4: Multiplication

Lesson 4: Division

Lesson 4: Problem Solving

**Chapter 3:**FractionsLesson 1: Fractions and Division

Lesson 2: Addition and Subtraction of Unlike Fractions

Lesson 3: Addition and Subtraction of Mixed Numbers

Lesson 4: Product of Fractions and Mixed Numbers

Lesson 5: Division of Fractions by Whole Numbers

Lesson 6: Division of Whole Numbers by Fractions

Lesson 7: Division of Fractions by Fractions

Lesson 8: Problem Solving

**Chapter 4:**AnglesLesson 1: Angle Properties

Lesson 2: Finding Unknown Measures of Angles

Lesson 2: Problem Solving

**Chapter 5**: DecimalsLesson 1: Approximation

Lesson 2: Multiplication by Tens, Hundreds or Thousands

Lesson 3: Division by Tens, Hundreds or Thousands

Lesson 4: Conversion of Measurements

Lesson 5: Multiplication by 2-digit Whole Numbers

Lesson 6: Multiplication of Decimals

Lesson 7: Division by 2-digit Whole Numbers

Lesson 8: Problem Solving

**Chapter 6**: Per CentLesson 1: Per Cent

Lesson 2: Expressing Fractions as Per Cents

Lesson 3: Percentage of a Quantity

Lesson 4: Problem Solving

**Chapter 7**: AverageLesson 1: Understanding Average

Lesson 2: Problem Solving

**Chapter 8**: Area of TrianglesLesson 1: Area of Triangles

**Chapter 9:**CirclesLesson 1: Radius and Diameter

**Chapter 10:**GraphsLesson 1: Pie Charts

Lesson 2: Problem Solving

**Chapter 11:**TessellationsLesson 1: Tiling Patterns

Lesson 2: Making More Tessellations

Lesson 3: Problem Solving

**Chapter 12:**SolidsLesson 1: Identifying Solids

Lesson 2: Prisms and Pyramids

Lesson 3: Cylinders and Cones

Lesson 4: Nets

Lesson 5: Problem Solving

**Chapter 13**: VolumeLesson 1: Units of Volume

Lesson 2: Volume of a Cuboid and of Liquid

Lesson 3: Cubes and Cuboids

Lesson 4: Problem Solving

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