Manitoba · Grade 7
Mathematics, Grade 7
Manitoba’s Grade 7 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 5
- Skills
- 29
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 8 skills
Number
Divisibility, Decimals, and Percent
Divisibility rules
I can use divisibility rules and explain why they work.
Official code: 7.N.1
Four operations with decimals
I can add, subtract, multiply, and divide decimals to solve problems.
Official code: 7.N.2
Percent problems
I can solve problems that involve percents.
Official code: 7.N.3
Repeating and terminating decimals
I can connect fractions to repeating and terminating decimals.
Official code: 7.N.4
Adding and subtracting fractions
I can add and subtract fractions with unlike denominators.
Official code: 7.N.5
Adding and subtracting integers
I can add and subtract positive and negative integers.
Official code: 7.N.6
Ordering with benchmarks and place value
I can order fractions, decimals, and integers using benchmarks.
Official code: 7.N.7
Ordering with equivalent fractions and decimals
I can order a mixed set by rewriting them as equivalents.
Official code: 7.N.7
The official wording · 8 outcomes
- 7.N.1
- Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, and why a number cannot be divided by 0.
- 7.N.2
- Demonstrate an understanding of the addition, subtraction, multiplication, and division of decimals to solve problems (for more than 1-digit divisors or 2-digit multipliers, technology could be used).
- 7.N.3
- Solve problems involving percents from 1% to 100%.
- 7.N.4
- Demonstrate an understanding of the relationship between repeating decimals and fractions, and terminating decimals and fractions.
- 7.N.5
- Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences).
- 7.N.6
- Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.
- 7.N.7
- Compare and order fractions, decimals (to thousandths), and integers by using n benchmarks n place value
- 7.N.7
- Compare and order fractions, decimals (to thousandths), and integers by using n equivalent fractions and/or decimals
Key ideas
Each divisibility rule tests a number without dividing, like 'even' for 2.
Dividing by 0 is undefined because no number times 0 gives a nonzero result.
Front-end estimation places the decimal point and checks reasonableness.
For harder decimal multiplication or division, technology can be used.
A percent can be written as a decimal or fraction to compute with.
Watch out for
- Thinking a number divisible by 2 and 4 is automatically divisible by 8.
- Believing 0 can be a divisor.
- Misplacing the decimal point in a product or quotient.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 7 skills
Patterns and Relations
Relations and Equations
Patterns and their relations
I can write a relation to represent a pattern.
Official code: 7.PR.1
Tables, graphs, and conclusions
I can graph a relation from a table and draw conclusions.
Official code: 7.PR.2
Preservation of equality
I can keep an equation balanced and use that to solve it.
Official code: 7.PR.3
Expressions versus equations
I can tell an expression from an equation.
Official code: 7.PR.4
Evaluating expressions
I can evaluate an expression for a given value.
Official code: 7.PR.5
One-step equations x + a = b
I can solve a one-step equation like x + a = b.
Official code: 7.PR.6
Linear equations ax + b = c
I can solve equations of the form ax + b = c.
Official code: 7.PR.7
The official wording · 7 outcomes
- 7.PR.1
- Demonstrate an understanding of oral and written patterns and their corresponding relations.
- 7.PR.2
- Construct a table of values from a relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
- 7.PR.3
- Demonstrate an understanding of preservation of equality by n modelling preservation of equality, concretely, pictorially, and symbolically n applying preservation of equality to solve equations
- 7.PR.4
- Explain the difference between an expression and an equation.
- 7.PR.5
- Evaluate an expression given the value of the variable(s).
- 7.PR.6
- Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially, and symbolically, where a and b are integers.
- 7.PR.7
- Model and solve problems that can be represented by linear equations of the form: n ax + b = c n ax = b n x a = b, a ≠ 0 concretely, pictorially, and symbolically, where a, b, and c, are whole numbers.
Key ideas
A relation is a rule that links each term to its position.
The same relation can describe a pattern in words or symbols.
Substituting values into a relation builds a table of values.
Plotting the table shows the pattern visually.
Doing the same operation to both sides keeps an equation equal.
Watch out for
- Describing only the first few terms instead of a general relation.
- Writing a relation that fits only one term.
- Substituting the value into the wrong part of the relation.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 8 skills
Shape and Space
Circles and Area
Radius, diameter, and pi
I can relate the radius, diameter, and circumference of a circle.
Official code: 7.SS.1
Central angles and circle problems
I can construct circles and solve problems about them.
Official code: 7.SS.1
Area of triangles and parallelograms
I can find the area of triangles and parallelograms.
Official code: 7.SS.2
Area of circles
I can estimate and calculate the area of a circle.
Official code: 7.SS.2
Perpendicular and parallel line segments
I can construct perpendicular and parallel line segments.
Official code: 7.SS.3
Perpendicular and angle bisectors
I can construct perpendicular bisectors and angle bisectors.
Official code: 7.SS.3
The Coordinate Plane
Plotting in four quadrants
I can plot points in all four quadrants.
Official code: 7.SS.4
Transformations across quadrants
I can transform a shape across the four quadrants.
Official code: 7.SS.5
The official wording · 8 outcomes
- 7.SS.1
- Demonstrate an understanding of circles by n determining the sum of the central angles n constructing circles with a given radius or diameter n solving problems involving the radii, diameters, and circumferences of circles
- 7.SS.2
- Develop and apply a formula for determining the area of n triangles n parallelograms
- 7.SS.2
- Develop and apply a formula for determining the area of n circles
- 7.SS.3
- Perform geometric constructions, including n perpendicular line segments n parallel line segments
- 7.SS.3
- Perform geometric constructions, including n perpendicular bisectors n angle bisectors
- 7.SS.4
- Identify and plot points in the four quadrants of a Cartesian plane using ordered pairs.
- 7.SS.5
- Perform and describe transformations of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral vertices).
Key ideas
The diameter is twice the radius.
The plane has four quadrants set by the signs of x and y.
Pi is the ratio of circumference to diameter, about 3.14 for every circle.
An ordered pair gives the horizontal then vertical position, with signs.
The central angles of a circle add up to 360°.
Watch out for
- Confusing radius and diameter.
- Ignoring the signs when choosing the quadrant.
- Thinking pi changes with circle size.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 6 skills
Statistics and Probability
Data and Probability
Central tendency and range
I can find and choose measures of central tendency.
Official code: 7.SP.1
The effect of outliers
I can explain how an outlier changes the measures of central tendency.
Official code: 7.SP.2
Circle graphs
I can build and read a circle graph.
Official code: 7.SP.3
Expressing probabilities
I can express a probability as a ratio, fraction, and percent.
Official code: 7.SP.4
Sample space of two events
I can list the sample space for two independent events.
Official code: 7.SP.5
Probability of two independent events
I can compare theoretical and experimental probability for two events.
Official code: 7.SP.6
The official wording · 6 outcomes
- 7.SP.1
- Demonstrate an understanding of central tendency and range by n determining the measures of central tendency (mean, median, mode) and range n determining the most appropriate measures of central tendency to report findings
- 7.SP.2
- Determine the effect on the mean, median, and mode when an outlier is included in a data set.
- 7.SP.3
- Construct, label, and interpret circle graphs to solve problems.
- 7.SP.4
- Express probabilities as ratios, fractions, and percents.
- 7.SP.5
- Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
- 7.SP.6
- Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table, or another graphic organizer) and experimental probability of two independent events.
Key ideas
Mean, median, and mode each summarize a data set differently.
Range shows the spread between the highest and lowest values.
An outlier is a value far from the rest of the data.
An outlier affects the mean most and the median least.
A circle graph shows parts of a whole as sectors summing to 360°.
Watch out for
- Confusing the median with the mean.
- Reporting the mode when it does not represent the data.
- Thinking an outlier affects the median as much as the mean.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Number Blitz
Can you keep up?
It starts easy. It doesn’t stay that way.
Free, no account needed
The official curriculum
This page follows Manitoba’s own curriculum for Mathematics, Grade 7.
Study it in MapleMind
MapleMind teaches Mathematics, Grade 7 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Mathematics, Grade 7 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 28
- Fillable fields
- 1,388
- Price
- $4.99
Questions about Mathematics, Grade 7
What is Mathematics, Grade 7?
Manitoba’s Grade 7 math course: 4 units and 29 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 7?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 7?
No. Manitoba gives no provincial exam for Mathematics, Grade 7.
What comes after Mathematics, Grade 7?
Mathematics, Grade 8.
Can MapleMind help with Mathematics, Grade 7?
Yes. MapleMind teaches every skill of Mathematics, Grade 7, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
Get ready for Mathematics, Grade 7
Practise every skill of Mathematics, Grade 7 in MapleMind, free with daily limits.
