Grade 7 Math
14 units matched to the Manitoba Curriculum.
Learning focus
- Number: Develop number sense.
- Patterns and Relations: Use patterns to describe the world and solve problems.
- Patterns and Relations: Represent algebraic expressions in multiple ways.
- Shape and Space: Use direct or indirect measurement to solve problems.
- Shape and Space: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- Shape and Space: Describe and analyze position and motion of objects and shapes.
- Statistics and Probability: Collect, display, and analyze data to solve problems.
- Statistics and Probability: Use experimental or theoretical probabilities 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: 7.N.1 · divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, and why a number cannot be divided by 0
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: 7.N.6 · adding and subtracting integers
Unit 3
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Learning outcome: 7.N.2 · adding, subtracting, multiplying and dividing decimals
Unit 4
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Learning outcome: 7.N.5 · adding and subtracting positive fractions and mixed numbers
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: 7.N.3, 7.N.4, 7.N.7 · percents, converting between fractions and decimals, and comparing and ordering
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: 7.N.3 · solving problems with percents from 1% to 100%
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: 7.PR.3, 7.PR.4, 7.PR.5, 7.PR.6, 7.PR.7 · expressions and equations, evaluating, preserving equality, and solving linear equations
Unit 8
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: 7.PR.1, 7.PR.2 · patterns and relations, tables of values and graphs
Unit 9
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: 7.PR.7 · solving linear equations of the form ax + b = c
Unit 10
Coordinates & Transformations
Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.
Learning outcome: 7.SS.4, 7.SS.5 · plotting points in four quadrants, and transformations of 2-D shapes
Unit 11
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: 7.SS.1, 7.SS.2 · radius, diameter and circumference, and the area of a circle
Unit 12
Mean, Median & Mode
Children find the mean, median, mode and range of a data set and see how one unusual value, an outlier, changes them.
Learning outcome: 7.SP.1, 7.SP.2 · mean, median, mode and range, and the effect of an outlier on them
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: 7.SP.3 · constructing 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: 7.SP.4, 7.SP.5, 7.SP.6 · probabilities as ratios, fractions and percents, sample spaces and experiments
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