Grade 7 Math
14 units matched to the New Brunswick Curriculum.
Learning focus
- Number: Number Sense. Describe numbers, ways of representing numbers, relationships among numbers, and number systems.
- Number: Operations. Add and subtract positive and negative integers to solve problems.
- Statistics and Probability: Data Analysis. Calculate measures of central tendency to solve problems.
- Statistics and Probability: Chance and Uncertainty. Determine the probability of outcomes to solve problems.
- Patterns and Relations: Algebra. Solve linear equations x + a = b, where a and b are integers ax + b = c, where a, b and c are whole numbers ax = b, where a and b are whole numbers xa = b, where a and b are whole numbers, a ≠ 0 .
- Shape and Space: Measurement. Apply the formulae for perimeter of polygons, area of rectangles, area of triangles, area of parallelograms, and volume of right prisms to solve problems.
- Shape and Space: 2-D Shapes and 3-D Objects. Draw and verify nets.
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.
Skill descriptor: Number: Number Sense · 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.
Skill descriptor: Number: Operations · adding and subtracting integers
Unit 3
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Skill descriptor: Number: Operations · 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.
Skill descriptor: Number: Operations · 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.
Skill descriptor: Number: Number Sense · 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.
Skill descriptor: Number: Number Sense · 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.
Skill descriptor: Patterns and Relations: Algebra · 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.
Skill descriptor: Patterns and Relations: Algebra · 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.
Skill descriptor: Patterns and Relations: Algebra · 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.
Skill descriptor: Shape and Space: Measurement · 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.
Skill descriptor: Shape and Space: Measurement · 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.
Skill descriptor: Shape and Space: 2-D Shapes and 3-D Objects · 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.
Skill descriptor: Statistics and Probability: Data Analysis · 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.
Skill descriptor: Statistics and Probability: Chance and Uncertainty · probability of single and two independent events
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