Mathematics 7

Unit 1: Number

Big Idea: computational fluency and flexibility with numbers extend to operations with integers and decimals, and connecting decimals, fractions, ratios and percents shows they are different faces of the same idea. Multiplication and division facts to 100, integer operations, decimal operations, and converting among decimals, fractions, ratios and percents.

• Fast, reliable facts to 100

• Adding and subtracting integers
• Multiplying and dividing integers
• Order of operations with integers

• Adding and subtracting decimals
• Multiplying and dividing decimals
• Order of operations with decimals

• Moving between decimals, fractions, ratios and percents
• Choosing the most useful form

Unit 2: Patterns and Relations

Big Idea: linear relations can be represented in many connected ways, and equations model real relationships between quantities. Discrete linear relations shown as expressions, tables and graphs, and solving two-step equations with whole-number coefficients.

• From expression to table of values
• From table to graph

• Solving two-step equations
• Verifying the solution

Unit 3: Shape and Space: Measurement

Big Idea: the constant ratio between circumference and diameter of a circle extends to formulas for circle measurements, and the volume of a solid connects its base area to its length. Circumference and area of circles, and volume of rectangular prisms and cylinders.

• Finding circumference
• Finding area of a circle

• Volume of a rectangular prism
• Volume of a cylinder

Unit 4: Shape and Space: Transformations

Big Idea: the Cartesian coordinate system lets us describe location precisely, and shapes can be moved through combinations of transformations while keeping their size and form. Plotting and graphing on Cartesian coordinates, and combining translations, rotations and reflections.

• Plotting and reading coordinates

• Combining two transformations
• Describing a combined transformation

Unit 5: Data and Probability

Big Idea: circle graphs are a visual way to compare parts of a whole, and the probability of two independent events builds on running real experiments. Constructing and interpreting circle graphs, and experimental probability with two independent events.

• Constructing a circle graph
• Interpreting a circle graph

• Running a two-event probability experiment
• Calculating the experimental probability

Unit 6: Financial Literacy

Big Idea: percentages describe real financial situations like sales tax, discounts and simple interest. Solving financial problems using percent.

• Solving money problems with percent