Grade 7 Math
16 units matched to the Alberta Curriculum.
Organizing ideas
- Number: develop number sense, with divisibility, decimals, fractions, percents and integers
- Patterns and Relations: use patterns to describe the world, and represent algebraic expressions in many ways
- Shape and Space: use direct and indirect measurement, describe 2-D shapes and 3-D objects, and describe position and motion
- Statistics and Probability: collect, display and analyze data, and use probability to represent and solve problems
Units
Unit 1
Divisibility Rules
Using divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10 without dividing, and why no number can be divided by 0.
Learning outcome: N1 · divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10, and why a number cannot be divided by 0
Unit 2
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Learning outcome: N2 · adding, subtracting, multiplying and dividing decimals
Unit 3
Adding & Subtracting Fractions
Adding and subtracting positive fractions and mixed numbers with like and unlike denominators, in lowest terms.
Learning outcome: N5 · adding and subtracting positive fractions and mixed numbers with unlike denominators
Unit 4
Comparing & Ordering
Comparing and ordering positive fractions, decimals to thousandths and whole numbers, using benchmarks and equivalent decimals.
Learning outcome: N7 · comparing and ordering positive fractions, decimals (to thousandths) and whole 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: N3, N4 · percents from 1% to 100%, and terminating and repeating decimals as fractions
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: N3 · solving percent problems, including sales tax, tips and discounts
Unit 7
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: N6 · adding and subtracting integers
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: PR1, PR2 · linear relations, tables of values and graphs
Unit 9
Expressions & Equations
The difference between an expression and an equation, evaluating expressions, keeping equations balanced, and solving one-step equations with integers.
Learning outcome: PR3, PR4, PR5, PR6 · expressions versus equations, evaluating expressions, preserving equality and one-step equations
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.
Learning outcome: PR7 · solving linear equations of the form ax + b = c
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: SS1, SS2 · 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.
Learning outcome: SS2, SS3 · area of triangles and parallelograms, and perpendicular, parallel and bisector constructions
Unit 13
Coordinates & Transformations
Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.
Learning outcome: SS4, SS5 · plotting points in four quadrants and transforming shapes
Unit 14
Mean, Median & Mode
Mean, median, mode and range, and how an outlier changes them.
Learning outcome: SP1, SP2 · mean, median, mode and range, and the effect of outliers
Unit 15
Circle Graphs
Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.
Learning outcome: SP3 · constructing and interpreting circle graphs
Unit 16
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: SP4, SP5, SP6 · probability as ratios, fractions and percents, and two independent events
Ready to try Gradelings?
Curriculum-matched practice for Kindergarten to Grade 9 in British Columbia and Ontario and Alberta and Saskatchewan, with kind hints, learning games and no ads. Free for 30 days, no card needed.