Syllabus for Grade 7
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Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
Chapter
1  Algebraic Reasoning
2  Integers and rational numbers
3  Number Theory
4  Rational number
5  Patterns and functions
6  Proportional Relationships
7  Percents
8  Collecting, displaying and analyzing data
9  Geometric Figures
10  Measurements
11  Probability
12  Solving multi-step equations and inequalities
More details on each of the topics is covered in the following pages.
Chapter 1  Algebraic Reasoning
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Numbers and patterns
Powers exponents and scientific notation
Order of operations
Properties of real numbers
Variables and expressions
Translating words into mathematical expressions
Simplifying Algebraic Expressions
Equations and their solutions
Addition and subtraction equations
Multiplication and division equations
Chapter 2  Integers and rational numbers
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Integers and their absolute values
Comparing and ordering integers
Adding integers
Subtracting integers
Multiplying and dividing integers
Solving equations containing integers
Chapter 3  Number Theory
 Prime Factorization
 Greatest Common Factor
 Least Common Multiple
Chapter 4  Rational number
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Equivalent fractions and real numbers
Equivalent fractions and decimals
Comparing and ordering decimals
Estimating with decimals
Adding and subtracting decimals
Multiplying decimals
Dividing decimals by integers and by decimals
Solving equations containing decimals
Estimate with fractions
Adding and subtracting fractions
Adding and subtracting mixed numbers
Multiplying fractions and mixed numbers
Dividing fractions and mixed numbers
Solving equations containing fractions
Chapter 5  Patterns and functions
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The Coordinate Plane
Tables and Graphs
Interpreting graphs
Functions, tables and graphs
Finding a pattern in sequences
Graphing linear equations
Chapter 6  Proportional Relationships
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Ratios
Rates
Slope and rates of change
Identifying and writing proportions
Solving proportions
Converting Measurements using proportions
Similar figures and proportions
Using similar figures
Scale drawings and scale models
Chapter 7  Percents
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Percents
Percent proportions
Percent and estimation
Percent equation
Fractions, decimals and percents
Percent of change
Solving percent problems
Sales Tax, Discounts and Simple interests
Chapter 8  Collecting, displaying and analyzing data
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Frequency tables
Stem-and-Leaf plots and line plots
Mean, Median, Mode, Range
Bar Graphs and Histograms
Reading and interpreting Circle graphs
Box-and-Whisker plots
Line graphs
Choosing an appropriate display
Population and samples
Scatter plots
Venn Diagram
Misleading graphs
Chapter 9  Geometric Figures
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Building blocks of geometry
Classifying angles
Angle relationships
Properties of circles
Classifying polygons
Classifying triangles
Classifying quadrilaterals
Angles and polygons
Congruent figures
Translations, reflections and rotations
Symmetry
Chapter 10  Measurements
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Two and three dimensional figures
Accuracy and precision of measurements
Perimeter and circumference
Area of parallelograms
Area of triangles and trapezoids
Area and circumference of circle
Area of irregular and composite figures
Squares, square roots and Pythagorean Theorem
Introduction to three-dimensional figures
Drawing three-dimensional figures
Volume of prisms and cylinders
Volume of pyramids and cones
Surface area of prisms and cylinders
Changing dimensions
Chapter 11  Probability
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Probability
Experimental probability
Making a list to find sample spaces
Theoretical probability
Probability of independent and dependent events
Combinations
Permutations
Chapter 12  Solving multi-step equations and inequalities
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Solving two-step equations
Solving multi-step equations
Solving equations with variables on both sides
Inequalities
Solving inequalities by adding and subtracting
Solving inequalities by multiplying and dividing
Solving two-step inequalities