Syllabus

Chapter 1 : Knowing the Numbers

Comparing whole numbers

Comparing multi-digit numbers

Comparing whole number place values

Comparing multi digit whole numbers word problems

Intro to lakhs and crores

Reading and writing large numbers

Intro to millions and billions

Intro to millions and billions

Metric system: units of distance

Metric system: units of volume

Metric system: units of weight

Converting metric units of length

Multi-step unit conversion examples

Rounding to nearest 10

Rounding to nearest 100

Rounding to nearest 10 and 100

Rounding whole numbers to nearest hundred

Rounding whole numbers to nearest thousand

Rounding whole numbers to nearest ten

Rounding whole numbers: missing digit

Rounding whole numbers word problems

2-step estimation problem: marbles

Multiplication estimation example

Intro to Roman numerals

Reading and writing Roman numerals

Roman numerals worked example

Chapter 1 : Knowing the Numbers Solution

Chapter 1 : Knowing the Numbers Revision Notes

M1

Chapter 2 : Whole Numbers

Intro to whole numbers

Intro to the number line

Worked example: Whole numbers on the number line

Properties of multiplication

Properties and patterns for multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

Associative law of multiplication

Identity property of 1

Identity property of 0

Inverse property of addition

Inverse property of multiplication

Distributive property over addition

Distributive property over subtraction

Distributive property exercise examples

Chapter 2 : Whole Numbers Solution

Chapter 2 : Whole Numbers Revision Notes

Chapter 3 : Playing with Numbers

Finding factors of a number

Prime numbers

Recognizing prime and composite numbers

Divisibility tests for 2, 3, 4, 5, 6, 9, 10

Recognizing divisibility

The why of the 3 divisibility rule

The why of the 9 divisibility rule

Prime factorization

Prime factorization exercise

Common divisibility examples

Least common multiple

Least common multiple: repeating factors

Least common multiple of three numbers

Greatest common factor examples

Greatest common factor explained

GCF & LCM word problems

Chapter 3 : Playing with Numbers Solution

Chapter 3 : Playing with Numbers Revision Notes

Chapter 4 : Basic Geometrical Ideas

Terms & labels in geometry

Lines, line segments, & rays

Angles: introduction

Naming angles

Cousin Fal's shape collection

Recognizing shapes

Vertices, sides, and diagonals, of a polygon

Intro to curves

Polygons as special curves

Circles glossary

Chapter 4 : Basic Geometrical Ideas Solution

Chapter 4 : Basic Geometrical Ideas Revision Notes

Chapter 5 : Understanding Elementary Shapes

Acute, right, & obtuse angles

Recognizing angles

Drawing acute, right and obtuse angles

Identifying an angle

Measuring angles in degrees

Measuring angles using a protractor

Measuring angles using a protractor 2

Constructing angles

Perpendicular and parallel lines intro

Parallel & perpendicular lines

Drawing parallel line segments

Classifying triangles

Classifying triangles by angles

Worked example: Classifying triangles

Intro to Quadrilateral

Counting faces and edges of 3D shapes

Recognizing common 3D shapes

Chapter 5 : Understanding Elementary Shapes Solution

Chapter 5 : Understanding Elementary Shapes Revision Notes

Chapter 6 : Integers

Intro to negative numbers

Number opposites

Negative symbol as opposite

Number opposites challenge problems

Absolute value examples

Identify and order absolute values

Comparing absolute values

Placing absolute values on the number line

Absolute value as distance between numbers

Absolute value word problems

Ordering negative numbers

Adding negative numbers example

Adding numbers with different signs

Adding & subtracting negative numbers

Subtracting a negative = adding a positive

Adding numbers with different signs

Addition & subtraction: find the missing value part 1 of 2

Addition & subtraction: find the missing value part 2 of 2

Adding negative numbers on the number line

Number equations & number lines

Interpreting numeric expressions example

Chapter 6 : Integers Solution

Chapter 6 : Integers Revision Notes

Chapter 7 : Fractions

Intro to fractions

Cutting shapes into equal parts

Identifying unit fractions word problem

More than one equal section

Recognizing fractions greater than 1

Identifying numerators and denominators

Fractions on a number line

Fractions on number line widget

Representing 1 as a fraction

Whole numbers as fractions

Intro to equivalent fractions

Visualizing equivalent fractions

More on equivalent fractions

Equivalent fractions

Equivalent fractions and different wholes

Equivalent fraction visually

Creating equivalent fractions

Finding common denominators

Common denominators: 3/5 and 7/2

Common denominators: 1/4 and 5/6

Comparing fractions with greater than and less than symbols

Comparing fractions with like numerators and denominators

Comparing fractions

Comparing fractions 2

Comparing and ordering fractions

Ordering fractions

Rewriting mixed numbers as improper fractions

Rewriting improper fractions as mixed numbers

Comparing improper fractions and mixed numbers

Mixed number or improper fraction on a number line

Decomposing a fraction visually

Decomposing a mixed number

Adding fractions with like denominators

Subtracting fractions with like denominators

Visually adding fractions: 5/6+1/4

Visually subtracting fractions: 3/4 - 5/8 (Hindi)

Adding fractions with unlike denominators

Subtracting fractions with unlike denominators

Adding and subtracting 3 fractions

Solving for the missing fraction

Intro to adding mixed numbers

Intro to subtracting mixed numbers

Adding mixed numbers: 19 3/18 + 18 2/3

Subtracting mixed numbers: 7 6/9 - 3 2/5

Adding mixed numbers with regrouping

Subtracting mixed numbers with regrouping

Adding fractions word problem: paint

Subtracting fractions word problem: tomatoes

Chapter 7 : Fractions Solution

Chapter 7 : Fractions Revision Notes

Chapter 8 : Decimals

Intro to decimals

Decimals as words

Writing decimal numbers shown in grids

Decimal place value

Write decimal in expanded form

Convert decimal from expanded form to standard form

Decimals in written form

Decimals in written form

Comparing decimal place values

Comparing decimals: 9.97 and 9.798

Comparing decimals: 156.378 and 156.348

Ordering decimals 1

Ordering decimals 2

Comparing decimals word problems

Comparing decimal numbers on a number line

Plotting decimal numbers on a number line

Writing a number as a fraction and decimal

Rewriting decimals as fractions: 0.15

Rewriting decimals as fractions: 0.8

Rewriting decimals as fractions: 0.36

Common fractions and decimals

Adding decimals: 9.087+15.31

Adding decimals: 0.822+5.65

Adding three decimals

Subtracting decimals: 9.57-8.09

Subtracting decimals: 10.1-3.93

Subtracting decimals: 9.005 - 3.6

Subtracting decimals: 39.1 - 0.794

Adding decimals word problem

Adding & subtracting decimals word problem

Chapter 8 : Decimals Solution

Chapter 8 : Decimals Revision Notes

Chapter 9 : Data Handling

Intro to data handling

Creating picture and bar graphs 1

Solving problems with pictographs 2

Interpreting picture graphs: paint

Interpreting picture graphs: notebook

Creating picture and bar graphs

Reading bar graphs: bikes

Reading bar graphs: dog bones

Chapter 9 : Data Handling Solution

Chapter 9 : Data Handling Revision Notes

Chapter 10 : Mensuration

Intro to area and unit squares

Intro to area and unit squares

Measuring rectangles with different unit squares

Measuring rectangles with different unit squares

Measuring area with partial unit squares

Measuring area with partial unit squares

Creating rectangles with a given area 1

Creating rectangles with a given area 1

Creating rectangles with a given area 2

Creating rectangles with a given area 2

Counting unit squares to find area formula

Counting unit squares to find area formula

Finding missing side when given area

Finding missing side when given area

Comparing areas of plots of land

Comparing areas of plots of land

Area and the distributive property

Area and the distributive property

Decomposing shapes to find area: grids

Decomposing shapes to find area: grids

Decomposing shapes to find area: add

Decomposing shapes to find area: add

Decomposing shapes to find area: subtract

Decomposing shapes to find area: subtract

Area word problem: house size

Area word problem: house size

Perimeter: introduction

Perimeter: introduction

Perimeter of a shape

Perimeter of a shape

Finding perimeter when a side length is missing

Finding perimeter when a side length is missing

Finding missing side length when given perimeter

Finding missing side length when given perimeter

Comparing areas and perimeters of rectangles

Comparing areas and perimeters of rectangles

Perimeter word problem: tables

Perimeter word problem: tables

Perimeter word problem: skating rink

Perimeter word problem: skating rink

Chapter 10 : Mensuration Solution

Chapter 10 : Mensuration Revision Notes

Chapter 11 : Algebra

Origins of algebra

Origins of algebra

Abstract-ness

Abstract-ness

The beauty of algebra

The beauty of algebra

Why all the letters in algebra?

Why all the letters in algebra?

What is a variable?

What is a variable?

Why aren't we using the multiplication sign?

Why aren't we using the multiplication sign?

Evaluating an expression with one variable

Evaluating an expression with one variable

Evaluating expressions with two variables

Evaluating expressions with two variables

Evaluating expressions with two variables: fractions & decimals

Evaluating expressions with two variables: fractions & decimals

Writing basic expressions with variables

Writing basic expressions with variables

Writing expressions with variables

Writing expressions with variables

Writing expressions with variables & parentheses

Writing expressions with variables & parentheses

Writing basic expressions word problems

Writing basic expressions word problems

Writing expressions word problems

Writing expressions word problems

Perimeter of a square using variables

Perimeter of a square using variables

Perimeter of a rectangle using variables

Perimeter of a rectangle using variables

Variables, expressions, & equations

Variables, expressions, & equations

Testing solutions to equations

Testing solutions to equations

Chapter 11 : Algebra Solution

Chapter 11 : Algebra Revision Notes

Chapter 12 : Ratio & Proportion

Intro to ratios

Part:whole ratios

Solving ratio problems with tables

Scale drawing: centimeters to kilometers

Part:whole ratio word problem

Intro to rates

Solving unit rate problem

Solving unit price problem

Multiple rates word problem

Comparing rates example

Intro to proportional relationships

Proportional relationships: spaghetti

Proportional relationships: bananas

Proportional relationships: movie tickets

Worked example: Solving proportions

Writing proportions example

Proportion word problem: sandwiches

Proportion word problem: cookies

Multiple units word problem: road trip

Chapter 12 : Ratio & Proportion Solutions

Chapter 12 : Ratio & Proportion Revision Notes

Chapter 13 : Symmetry

Intro to reflective symmetry

Identifying symmetrical figures

Chapter 13 : Symmetry Solution

Chapter 13 : Symmetry Revision Notes

Chapter 14 : Practical Geometry

Constructing angles

Drawing acute, right and obtuse angles

Chapter 14 : Practical Geometry Solution

Chapter 14 : Practical Geometry Revision Notes

Sample Paper 7

Sample Paper 6

Sample Paper 5

Sample Paper 4

Sample Paper 3

Sample Paper 2

Sample Paper 1