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Year 7
Integers
Revisiting Basics
Year 7
1.
Volume and Surface Area
1.1.
Three-dimensional Solids
1.2.
Volume and Surface Area of Cubes
1.3.
Volume and Surface Area of Cuboids
1.4.
Volume and Surface Area of Cylinders
2.
Number Pattern
3.
Integers
3.1.
Revisiting Basics
3.2.
Operations on Integers
3.2.1.
Addition and Subtraction of Integers
3.2.1.1.
Addition of Integers
3.2.1.2.
Properties of Addition of Integers
3.2.1.3.
Subtraction of Integers
3.2.1.4.
Properties of Subtraction of Integers
3.2.2.
Multiplication and Division of Integers
3.2.2.1.
Multiplication of Integers
3.2.2.2.
Properties of Multiplication of Integers
3.2.2.3.
Division of Integers
3.2.2.4.
Properties of Division of Integers
3.2.3.
Mixed Operations of Integers
3.2.4.
Word Problems on Integers
4.
Fractions
4.1.
Revisiting Basics
4.2.
Equivalent Fractions
4.3.
Comparing Fractions
4.3.1.
Comparing Like Fractions
4.3.2.
Comparing Unlike Fractions
4.4.
Operations on Fractions
4.4.1.
Addition of Fractions
4.4.1.1.
Addition of Like Fractions
4.4.1.2.
Addition of Unlike Fractions
4.4.1.3.
Addition of Mixed Fractions
4.4.2.
Subtraction of Fractions
4.4.2.1.
Subtraction of Like Fractions
4.4.2.2.
Subtraction of Unlike Fractions
4.4.2.3.
Subtraction of Mixed Fractions
4.4.3.
Simplify Expressions involving Addition and Subtraction
4.4.4.
Multiplication of Fractions
4.4.4.1.
Simplify Expressions involving Multiplication
4.4.4.2.
Use of 'OF'
4.4.5.
Division of Fractions
4.4.5.1.
Reciprocal of a Fraction
4.4.5.2.
Simplify Expressions involving Division
4.4.6.
Simplification by Using Operations
4.4.7.
Word Problems on Fractions
4.4.7.1.
Word Problems on Addition of Fractions
4.4.7.2.
Word Problems on Subtraction of Fractions
4.4.7.3.
Word Problems on Addition and Subtraction of Fractions
4.4.7.4.
Word Problems on Multiplication of Fractions
4.4.7.5.
Word Problems on Division of Fractions
5.
Rational Numbers
5.1.
Understanding Rational Numbers
5.2.
Equivalent Rational Numbers
5.3.
Comparison of Rational Numbers
5.4.
Representation of Rational Numbers on the Real Line
5.5.
Addition and Subtraction of Rational Numbers
5.5.1.
Addition of Rational Numbers
5.5.2.
Additive Inverse of a Rational Number
5.5.3.
Subtraction of Rational Numbers
5.6.
Multiplication and Division of Rational Numbers
5.6.1.
Multiplication Of Rational Numbers
5.6.2.
Reciprocal of Rational Number
5.6.3.
Division Of Rational Numbers
5.7.
Rational Numbers Lying Between Two Rational Numbers
5.8.
Simplifying Rational Numbers
5.9.
Word Problems on Rational Numbers
6.
Decimals
6.1.
Revisiting Basics
6.2.
Like, Unlike And Equivalent Decimals
6.3.
Ordering And Comparing Decimals
6.4.
Relate Decimals and Fractions
6.4.1.
Convert Decimals to Fractions
6.4.2.
Convert Fractions to Decimals
6.4.3.
Conversion of Metric Units Using Decimals
6.5.
Addition and Subtraction of Decimals
6.5.1.
Addition of Decimals
6.5.2.
Subtraction of Decimals
6.5.3.
Mixed Operations on Decimals: Addition and Subtraction
6.5.4.
Word Problems on Addition and Subtraction of Decimals
6.6.
Multiplication and Division of Decimals
6.6.1.
Multiplication of Decimals
6.6.2.
Division of Decimals
6.6.3.
Word Problems on Multiplication of Decimals
6.6.4.
Word Problems on Division of a Decimal
6.6.5.
Mixed Operations on Decimals
7.
Ratio and Proportion
7.1.
Ratio
7.1.1.
Terms of a Ratio
7.1.2.
Equivalent Ratio
7.1.3.
Ratio in the Simplest Form
7.1.4.
Ratio of Two Quantities by Converting Them in Same Units
7.1.5.
Comparison of Ratios
7.1.6.
Miscellaneous questions on Ratio
7.2.
Proportion
7.2.1.
Terms of a Proportion
7.2.2.
Condition for the given Numbers/Ratios to be in Proportion
7.2.3.
Find the unknown variable when four numbers are in Proportion
7.2.4.
Continued proportion
8.
Unitary Method
8.1.
Problems on Direct Variation
8.2.
Problems on Inverse Variation
9.
Percentage
9.1.
Conversions
9.1.1.
Convert a Fraction into Percentage
9.1.2.
Convert a Percentage into Fraction
9.1.3.
Convert Percentage into a Ratio
9.1.4.
Convert a Ratio into Percentage
9.1.5.
Convert Percentage into Decimal form
9.1.6.
Convert Decimal into Percentage
9.2.
Percentage of a Quantity
9.3.
Solving Expressions involving Percentages
9.4.
Word Problems on Percentage
10.
Profit and Loss
10.1.
Terms Related to Profit and Loss
10.2.
Problems on Finding the Gain/Loss and Gain%/Loss%
10.3.
Problems on Finding the SP of the Article
10.4.
Problems on Finding the CP of the Article
10.5.
Problems on Finding the Number of Articles
11.
Simple Interest
11.1.
Problems on Calculating the Simple Interest
11.2.
Problems on Calculating the Rate Percent
11.3.
Problems on Calculating Time Period
11.4.
Problems on Calculating the Principal
12.
Exponents
12.1.
Introduction to Exponents
12.2.
Exponent of a Rational Number
12.3.
Express Rational Numbers in Exponential Form
12.4.
Solving Expressions Involving Exponents
12.5.
Laws of Exponents
12.6.
Finding the Unknown from the Given Exponential Equation
12.7.
Standard Form of Large Numbers
12.8.
Standard Form of Small Numbers
12.9.
Expanded Form of Large Numbers
13.
Algebraic Expressions
13.1.
Variables and Constants
13.2.
Types of Algebraic Expressions
13.3.
Finding the Value of an Algebraic Expression
13.4.
Operations on Algebraic Expressions
13.4.1.
Addition of Algebraic Expressions
13.4.2.
Subtraction of Algebraic Expressions
13.4.3.
Addition and Subtraction of Algebraic Expressions
13.4.4.
Multiplication of Algebraic Expressions
13.4.4.1.
Multiplication of Monomials
13.4.4.2.
Multiplication of a Monomial and a Binomial
13.4.4.3.
Multiplication of two Binomials
13.5.
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
14.
Linear Equations in One Variable
14.1.
Solving Linear Equations by the Method of Transposition
14.2.
Word Problems Based on Linear Equations
15.
Mensuration
15.1.
Standard Units of Area
15.2.
Area and Perimeter of a Square
15.3.
Area and Perimeter of a Rectangle
15.4.
Area between Two Rectangles
15.5.
Area and Perimeter of Triangles
15.6.
Area and Perimeter of Parallelogram and Rhombus
15.7.
Circumference and Area of a Circle
15.8.
Area Enclosed Between Two Different Shapes
16.
Geometry
16.1.
Lines and Angles
16.1.1.
Types of Angles
16.1.1.1.
Complementary and Supplementary Angles
16.1.1.2.
Linear Pair of Angles
16.1.1.3.
Vertically Opposite Angles
16.1.1.4.
Angles Around a Point
16.1.2.
Angles Formed when a Transversal Cuts Two Parallel Lines
16.2.
Triangles
16.2.1.
Classification of Triangles by the Length of the Sides
16.2.2.
Classification of Triangles by the Angles
16.2.3.
Properties of a Triangle
16.2.3.1.
Angle Sum Property of a Triangle
16.2.3.2.
Exterior Angle Property of a Triangle
16.2.3.3.
Triangle Inequality
16.2.3.4.
Pythagoras' Theorem
16.3.
Congruence
16.3.1.
Understanding the Meaning
16.3.2.
Congruence of Triangles
17.
Reflection and Rotational Symmetry
17.1.
Linear Symmetry
17.1.1.
Linear Symmetry Around Us
17.1.2.
Linear Symmetry in Geometric Figures
17.1.3.
Linear Symmetry in Alphabets
17.2.
Rotational Symmetry
17.2.1.
Rotational Symmetry in Figures
17.2.2.
Rotational Symmetry in Geometric Figures
17.2.3.
Rotational Symmetry in Alphabets
18.
Three-Dimensional Shapes
18.1.
Identifying 3-D Shapes
18.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
18.3.
Net of a 3-D Shape
19.
Probability
20.
Data Handling
20.1.
Tabular Representation of Data
20.2.
Mean, Median, and Mode
20.2.1.
Mean
20.2.1.1.
Mean of Ungrouped Data
20.2.1.2.
Mean of Tabulated Data
20.2.2.
Median
20.2.2.1.
Median of Ungrouped Data
20.2.2.2.
Median of Discrete Series
20.2.3.
Mode
20.2.3.1.
Mode of Ungrouped Data
20.2.3.2.
Empirical Formula for Calculating Mode
20.3.
Bar Graphs
20.3.1.
Drawing Bar Graphs
20.3.2.
Interpreting Bar Graphs
Year 7 Australia School Math
Revisiting Basics
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Integers