How to learn Grade 7: Mathematics

Saskatchewan curriculum: Mathematics, Grade 7

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1. Statistics and Probability - Goals: Spatial Sense, Number Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of theoretical and experimental probabilities for two

The Probability Scale: Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and impossible
Experimental probability: Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability
Tree diagrams: Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

2. Statistics and Probability - Goals: Spatial Sense, Number Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of circle graphs.

Estimating answers (age 13+): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts

3. Statistics and Probability - Goals: Spatial Sense, Number Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of the measures of central tendency and range for set

Comparing measurements: Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers

4. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Expand and demonstrate an understanding of transformations (translations, rotations, and refl

Coordinate Transformations: Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original

5. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate an understanding of the Cartesian plane and ordered pairs with integral coordinat

Coordinates (age 11+): Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely

6. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate an understanding of 2-D relationships involving lines and angles

Types of angles (age 11+): Use conventional geometric terms and notation to describe, sketch, and draw points, lines, parallel and perpendicular lines, right angles, regular polygons, and reflectively/rotationally symmetric polygons
Understanding angles (age 12+): Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and bisecting an angle

7. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Develop and apply formulas for determining the area of: • triangles • parallelograms • circle

Area of Triangles & Parallelograms: Calculate the area of parallelograms and triangles using formulae (A = b × h for parallelograms, A = ½ × b × h for triangles)
Angles in triangles (age 11+): Derive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders), connecting each formula to its geometric reasoning
Circles: Circumference & Area: Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts

8. Shape and Space - Goals: Spatial Sense, Logical Thinking, Number Sense, Mathematics as a Human Endeavour · Demonstrate an understanding of circles including circumference and central angles.

Parts of a circle: Illustrate and name parts of circles, including radius, diameter, and circumference; know that the diameter is twice the radius

9. Patterns and Relationships - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of linear equations of the form x + a = b (where a an

Solving Linear Equations: Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients
Numbers on a number line: Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations

10. Patterns and Relationships - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of equations and expressions by: • distinguishing bet

Expressions & Equations Vocabulary: Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)

11. Patterns and Relationships - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of the relationships between oral and written pattern

Number Pattern Relationships: Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane

12. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and sym

Number Sets & Infinity: Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
Positive and Negative Numbers: Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances

13. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Develop and demonstrate an understanding of adding and subtracting positive fractions and mixed number

Adding Fractions (Unlike Denominators): Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common denominator

14. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Expand and demonstrate an understanding of percent to include fractional percents between 1% and 100%.

Percentages as Fractions: Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%

15. Number - Goals: Number Sense, Spatial Sense, Logical Thinking, Mathematics as a Human Endeavour · Demonstrate an understanding of the relationships between positive decimals, positive fractions (inclu

Fractions on a number line: Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line
Fractions on a number line (age 11+): Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations