Mathematics, Grade 7

Unit 1: Number

Whole numbers to one billion using powers of ten; perfect squares and square roots; rational numbers including negative fractions and decimals; equivalent fractions and density; conversions among fractions, decimals, and percents; multi-step problems; integer addition and subtraction; fraction and decimal operations; GCF/LCM; exponential notation; and proportional reasoning.

• Representing and comparing whole numbers to one billion using powers of ten

• Identifying and representing perfect squares
• Determining square roots of perfect squares

• Reading, representing, comparing, and ordering rational numbers, including negatives

• Using equivalent fractions to simplify fractions
• Generating fractions and decimals between any two quantities

• Rounding decimals to the nearest tenth, hundredth, or whole number
• Converting between fractions, decimals, and percents

• Using order of operations to solve multi-step problems
• Recalling commonly used percent, fraction, and decimal equivalents
• Mental math: increasing and decreasing by a percent

• Representing and solving addition and subtraction of integers

• Adding and subtracting fractions, including by creating equivalent fractions
• Determining the greatest common factor and lowest common multiple

• Expressing repeated multiplication using exponential notation

• Multiplying and dividing fractions by fractions
• Multiplying and dividing decimals by decimals

• Identifying proportional situations and applying proportional reasoning

Unit 2: Algebra

Comparing linear growing patterns by rate and initial value; creating and translating patterns with whole and decimal numbers; algebra for linear patterns; patterns among integers; adding and subtracting monomials; evaluating expressions; solving multi-term equations and inequalities; and efficient code with a defined count and/or sub-program.

• Comparing patterns, including linear growing patterns by rate and initial value
• Creating and translating patterns with whole and decimal numbers, using algebra for linear patterns

• Determining pattern rules and solving for unknowns in linear growing patterns
• Creating patterns to show relationships among integers

• Adding and subtracting monomials with a degree of 1
• Evaluating algebraic expressions with whole and decimal numbers
• Solving multi-term equations with whole and decimal numbers
• Solving and graphing multi-term inequalities

• Writing and running efficient code involving a defined count and/or sub-program
• Reading and altering code involving a defined count and/or sub-program

Unit 3: Data

Percentages for distribution; collecting and organizing data using percentages; circle graphs and infographics; the impact of adding or removing data on central tendency; analysing circle and misleading graphs; and independent versus dependent events.

• Explaining why percentages represent data distribution
• Collecting qualitative and quantitative data, organizing using percentages

• Selecting and justifying a graph type, including circle graphs
• Creating an infographic using tables and circle graphs

• Determining the impact of adding or removing data on central tendency
• Analysing data in circle graphs and misleading graphs

• Describing the difference between independent and dependent events
• Comparing probabilities of two independent events and of two dependent events

Unit 4: Spatial Sense

Classifying cylinders, pyramids, and prisms; top, front, side, and perspective views with scales; dilations and similarity; transformations on the Cartesian plane; volume vs. capacity; metric conversions for perimeter, area, and volume; circumference and area of circles; constructing circles; cylinder nets and surface area; and volume of prisms and cylinders.

• Describing and classifying cylinders, pyramids, and prisms by geometric properties

• Drawing top, front, side, and perspective views using scales

• Performing dilations and describing similarity
• Performing translations, reflections, and rotations on a Cartesian plane

• Describing volume and capacity and relating millilitres to cubic centimetres
• Solving perimeter, area, and volume problems requiring metric conversions

• Using radius, diameter, and circumference relationships to explain the circumference formula
• Constructing circles given radius, diameter, or circumference
• Using radius, diameter, and area relationships to explain the area-of-a-circle formula

• Representing cylinders as nets and determining their surface area
• Determining the volume of a prism or cylinder from base area and height

Unit 5: Financial Literacy

Exchange rates and currency conversion; reliable sources for financial planning; longer-term sample budgets; factors influencing financial decisions; interest rates over time; and comparing institutions for the best financial option.

• Identifying and comparing exchange rates and converting foreign currencies

• Identifying reliable sources of information for financial planning
• Creating, tracking, and adjusting sample budgets for longer-term goals

• Identifying societal and personal factors influencing financial decisions
• Explaining how interest rates impact savings, investments, and borrowing over time

• Comparing interest rates and fees to determine the best financial option