Grade 7 Math
14 units matched to the Nova Scotia Curriculum.
Learning focus
- Number: Develop number sense.
- Patterns and Relations: Use patterns to describe the world and solve problems.
- Measurement: Use direct and indirect measurement to solve problems.
- Geometry: Describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.
- Statistics and Probability: Collect, display and analyse data to solve problems, and use probability to represent and solve problems involving uncertainty.
Units
Unit 1
Divisibility Rules
Children use the digits of a number to tell whether it divides evenly, and explain why no number can be divided by 0.
Learning outcome: N01 · divisibility rules and factors
Unit 2
Add & Subtract Integers
Adding and subtracting positive and negative numbers with number lines, temperatures and elevations, including the idea that subtracting a number is the same as adding its opposite.
Learning outcome: N06 · adding and subtracting integers
Unit 3
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Learning outcome: N05 · adding and subtracting positive fractions and mixed numbers
Unit 4
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Learning outcome: N02 · operations with decimals
Unit 5
Fractions, Decimals & Percents
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Learning outcome: N03, N04 · percents, fractions and decimals
Unit 6
Tax, Tips & Discounts
Everyday money percents: sale prices, sales tax (with the rates given), restaurant tips, comparing deals and simple interest on savings.
Learning outcome: N03 · percent in everyday money problems
Unit 7
Expressions & Equations
Children tell an expression from an equation, evaluate expressions, and solve equations by doing the same thing to both sides.
Learning outcome: PR03, PR04, PR05 · expressions, equations and the distributive property
Unit 8
Two-Step Equations
Solving equations like 3x + 5 = 26 by undoing each step on both sides, writing equations from word problems and checking solutions.
Learning outcome: PR06, PR07 · solving one- and two-step equations
Unit 9
Linear Relations
Finding the rule behind growing patterns, writing expressions like 3n + 2, and connecting tables, graphs and real situations such as rental costs.
Learning outcome: PR01, PR02 · patterns, tables and graphs of linear relations
Unit 10
Circles
Using radius, diameter and π (about 3.14) to find the distance around a circle and the area inside it, including real objects like wheels and pizzas.
Learning outcome: M01 · circumference and the relationship to diameter
Unit 11
Area & Constructions
Area of triangles and parallelograms using base and height, and the vocabulary of perpendicular and parallel lines and bisectors.
Learning outcome: M02 · area of triangles, parallelograms and circles
Unit 12
Coordinates & Transformations
Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.
Learning outcome: G02 · transformations of shapes on a coordinate grid
Unit 13
Circle Graphs
Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.
Learning outcome: SP03 · creating and interpreting circle graphs
Unit 14
Probability
Listing outcomes of two independent events (like a coin and a die), finding theoretical probabilities by multiplying, and comparing them with experimental results.
Learning outcome: SP04, SP06 · probability of single and two independent events
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