Grade 7 Math
12 units matched to the Yukon Curriculum.
Big Ideas
- Decimals, fractions, and percents are used to represent and describe parts and wholes of numbers.
- Computational fluency and flexibility with numbers extend to operations with integers and decimals.
- Linear relations can be represented in many connected ways to identify regularities and make generalizations.
- The constant ratio between the circumference and diameter of circles can be used to describe, measure, and compare spatial relationships.
- Data from circle graphs can be used to illustrate proportion and to make comparisons among categories.
Units
Unit 1
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 standard: Operations with integers: addition and subtraction
Unit 2
Multiply & Divide Integers
Keeping multiplication and division facts fluent, applying the sign rules for negative numbers, and evaluating expressions in the right order (brackets, then × and ÷, then + and −).
Learning standard: Multiplication and division facts to 100; operations with integers: multiplication, division and order of operations
Unit 3
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Learning standard: Operations with decimals: addition, subtraction, multiplication, division and order of operations
Unit 4
Fractions, Decimals & Percents
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Learning standard: Relationships between decimals, fractions, ratios and percents
Unit 5
Tax, Tips & Discounts
Everyday money percents: sale prices, sales tax (with the rates given), restaurant tips, comparing deals and simple interest on savings.
Learning standard: Financial literacy: financial percentage (sales tax, discounts, tips and simple interest)
Unit 6
Coordinates & Transformations
Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.
Learning standard: Cartesian coordinates and graphing; combinations of transformations
Unit 7
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 standard: Discrete linear relationships, using expressions, tables and graphs
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 standard: Two-step equations with whole-number coefficients, constants and solutions
Unit 9
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 standard: Circumference and area of circles
Unit 10
Volume
Finding volume as base area × height for boxes and cylinders, working backwards to a missing dimension, and linking cm³ to millilitres and litres.
Learning standard: Volume of rectangular prisms and cylinders
Unit 11
Circle Graphs
Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.
Learning standard: Circle graphs
Unit 12
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 standard: Experimental probability with two independent events
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