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Grade-7 Mathematics

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Syllabus

Chapter 1: Adding and Subtracting Rational Numbers
1.1 Rational numbers
1.2 Adding Integers
1.3 Adding Rational numbers
1.4 Subtracting Integers
1.5 Subtracting Rational rational numbers

Chapter 2: Multiplying and Dividing Rational Numbers
2.1 Multiplying Integers
2.2 Dividing Integers
2.3 Converting Between Fractions and Decimals
2.4 Multiplying Rational Numbers
2.5 Dividing Rational Numbers

Chapter 3: Expressions
3.1 Algebraic Expressions
3.2 Adding and Subtracting Linear Expressions
3.3 The Distributive Property
3.4 Factoring Expressions

Chapter 4: Equations and Inequalities
4.1 Solving Equations Using Addition or Subtraction
4.2 Solving Equations Using Multiplication or Division
4.3 Solving Two-Step Equations
4.4 Writing and Graphing Inequalities
4.5 Solving Inequalities Using Addition or Subtraction
4.6 Solving Inequalities Using Multiplication or Division
4.7 Solving Two-Step Inequalities

Chapter 5: Ratios and Proportions
5.1 Ratios and Ratio Tables
5.2 Rates and Unit Rates
5.3 Identifying Proportional Relationships
5.4 Writing and Solving Proportions
5.5 Graphs of Proportional Relationships
5.6 Scale Drawings

Chapter 6: Percents
6.1 Fractions, Decimals, and Percents
6.2 The Percent Proportion
6.3 The Percent Equation
6.4 Percents of Increase and Decrease
6.5 Discounts and Markups
6.6 Simple Interest

Chapter 7: Probability
7.1 Probability
7.2 Experimental and Theoretical Probability
7.3 Compound Events
7.4 Simulations

Chapter 8: Statistics
8.1 Samples and Populations
8.2 Using Random Samples to Describe Populations
8.3 Comparing Populations
8.4 Using Random Samples to Compare Populations

Chapter 9: Geometric Shapes and Angles
9.1 Circles and Circumference
9.2 Areas of Circles
9.3 Perimeters and Areas of Composite Figures
9.4 Constructing Polygons
9.5 Finding Unknown Angle Measures

Chapter 10: Surface Area and Volume
10.1 Surface Areas of Prisms
10.2 Surface Areas of Cylinders
10.3 Surface Areas of Pyramids
10.4 Volumes of Prisms
10.5 Volumes of Pyramids
10.6 Cross Sections of Three-Dimensional Figures

Course Content