Mathematics 7

Unit 1: Number

General outcome: develop number sense. Divisibility, decimal operations, percents, fraction-decimal relationships, adding/subtracting fractions and integers, and comparing/ordering rational numbers.

• Testing for divisibility
• Why you can never divide by zero

• Adding and subtracting decimals
• Multiplying decimals
• Dividing decimals

• Finding a percent of a number
• Percent problem solving

• Terminating decimals and fractions
• Repeating decimals and fractions

• Adding and subtracting with like denominators
• Adding and subtracting with unlike denominators
• Adding and subtracting mixed numbers

• Adding integers
• Subtracting integers

• Comparing and ordering fractions and decimals
• Using benchmarks to compare

Unit 2: Patterns and Relations

General outcomes: use patterns to describe the world and solve problems; represent algebraic expressions in multiple ways. Oral/written patterns, linear relations and graphs, preservation of equality, expressions, and one- and two-step equations with whole numbers.

• Oral and written patterns
• From pattern description to relation

• Building a table of values
• Graphing and analyzing the relation

• Modelling preservation of equality
• Applying preservation of equality

• Expression vs. equation
• Evaluating expressions

• Modelling one-step equations
• Solving one-step equations symbolically

• Solving ax = b
• Solving x/a = b
• Solving ax + b = c

Unit 3: Shape and Space

General outcomes: use direct and indirect measurement to solve problems; describe 3-D objects and 2-D shapes; describe and analyze position and motion. Circle properties, area formulas, geometric constructions, and coordinate-plane transformations.

• Radius, diameter and circumference
• Circumference and pi
• Central angles and constructing circles

• Area of triangles
• Area of parallelograms
• Area of circles

• Perpendicular and parallel line segments
• Perpendicular and angle bisectors

• Identifying and plotting integer coordinates

• Translations, rotations and reflections
• Describing a transformation from coordinates

Unit 4: Statistics and Probability

General outcomes: collect, display and analyze data to solve problems; use experimental or theoretical probabilities to solve problems. Central tendency and range, outliers, circle graphs, and the probability of independent events.

• Mean, median and mode
• Range and choosing the best measure

• How outliers affect mean, median and mode

• Constructing circle graphs
• Interpreting circle graphs

• Probability as a ratio, fraction and percent

• Identifying the sample space
• Organizing outcomes with tables and tree diagrams

• Theoretical probability of two independent events
• Comparing to experimental probability