Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships Chapter 7 Percents Chapter 8 Collecting, displaying and analyzing data Chapter 9 Geometric Figures Chapter 10 Measurements Chapter 11 Probability Chapter 12 Solving multi-step equations and inequalities More details on each of the topics is covered in the following pages.
Chapter 1 Algebraic Reasoning 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 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 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 The Coordinate Plane Tables and Graphs Interpreting graphs Functions, tables and graphs Finding a pattern in sequences Graphing linear equations Chapter 6 Proportional Relationships 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 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 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 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 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 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 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