Grade 7 Math
17 units matched to the Prince Edward Island Curriculum.
Learning focus
- Number.
- Patterns and Relations.
- Shape and Space.
- Statistics and Probability.
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.
Curriculum outcome: Number · divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, and why a number cannot be divided by zero
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.
Curriculum outcome: Number · adding and subtracting positive and negative integers
Unit 3
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Curriculum outcome: Number · 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.
Curriculum outcome: Number · adding, subtracting, multiplying and dividing fractions and mixed numbers
Unit 5
Comparing & Ordering
Comparing and ordering positive fractions, decimals to thousandths and whole numbers, using benchmarks and equivalent decimals.
Curriculum outcome: Number · comparing and ordering fractions, decimals and whole numbers
Unit 6
Fractions, Decimals & Percents
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Curriculum outcome: Number · moving between fractions, decimals and percents, including repeating decimals
Unit 7
Tax, Tips & Discounts
Everyday money percents: sale prices, sales tax (with the rates given), restaurant tips, comparing deals and simple interest on savings.
Curriculum outcome: Number · percent problems with sales tax, tips and discounts
Unit 8
Expressions & Equations
Children tell an expression from an equation, evaluate expressions, and solve equations by doing the same thing to both sides.
Curriculum outcome: Patterns and Relations · expressions, equations and solving one-step equations by keeping them balanced
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.
Curriculum outcome: Patterns and Relations · patterns, tables of values and graphs of linear relations
Unit 10
Two-Step Equations
Solving equations like 3x + 5 = 26 by undoing each step on both sides, writing equations from word problems and checking solutions.
Curriculum outcome: Patterns and Relations · solving and writing two-step equations
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.
Curriculum outcome: Shape and Space · radius, diameter, circumference and area of circles
Unit 12
Area & Constructions
Area of triangles and parallelograms using base and height, and the vocabulary of perpendicular and parallel lines and bisectors.
Curriculum outcome: Shape and Space · area of triangles and parallelograms, and perpendicular, parallel and bisecting lines
Unit 13
Constructions
Children practise the ideas behind geometric constructions: perpendicular and parallel lines, perpendicular bisectors and angle bisectors made with a compass and straightedge.
Curriculum outcome: Shape and Space · constructing perpendicular lines, parallel lines and bisectors
Unit 14
Coordinates & Transformations
Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.
Curriculum outcome: Shape and Space · plotting points in four quadrants and describing slides, flips and turns
Unit 15
Mean, Median & Mode
Mean, median, mode and range, and how an outlier changes them.
Curriculum outcome: Statistics and Probability · mean, median, mode, range and the effect of outliers
Unit 16
Circle Graphs
Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.
Curriculum outcome: Statistics and Probability · reading and making circle graphs
Unit 17
Probability
Listing outcomes of two independent events (like a coin and a die), finding theoretical probabilities by multiplying, and comparing them with experimental results.
Curriculum outcome: Statistics and Probability · outcomes and probability of two independent events
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