Prince Edward Island · Grade 7
Mathematics, Grade 7
Prince Edward Island’s Grade 7 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 7
- Skills
- 30
- Provincial exam
- None
- Official curriculum
- Prince Edward Island Department of Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 9 skills
Number
Divisibility, Decimals, and Percents
Divisibility rules
I can use divisibility rules to test a number.
Official code: 7.N1
Why we cannot divide by zero
I can explain why we cannot divide by zero.
Official code: 7.N1
Adding and subtracting decimals
I can add and subtract decimals to solve problems.
Official code: 7.N2
Multiplying and dividing decimals
I can multiply and divide decimals to solve problems.
Official code: 7.N2
Percent problems
I can solve problems involving percents from 1% to 100%.
Official code: 7.N3
Integers and Comparing Numbers
Adding and subtracting integers
I can add and subtract integers.
Official code: 7.N4
Multiplying and dividing integers
I can multiply and divide integers.
Official code: 7.N5
Comparing with benchmarks and place value
I can compare and order numbers using benchmarks and place value.
Official code: 7.N6
Comparing with equivalent forms
I can compare numbers by rewriting them in equivalent forms.
Official code: 7.N6
The official wording · 9 outcomes
- 7.N1
- Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10,
- 7.N1
- and why a number cannot be divided by 0.
- 7.N2
- Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
- 7.N2
- Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
- 7.N3
- Solve problems involving percents from 1% to 100%.
- 7.N4
- Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
- 7.N5
- Demonstrate an understanding of multiplication and division of integers, concretely, pictorially and symbolically.
- 7.N6
- Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using: benchmarks; place value;
- 7.N6
- equivalent fractions and/or decimals.
Key ideas
Each divisibility rule checks a feature such as the last digit or the digit sum.
Adding a negative moves left on the number line; adding a positive moves right.
A number divisible by both 2 and 3 is divisible by 6.
Subtracting an integer is the same as adding its opposite.
Dividing asks 'how many groups of the divisor fit in the number.'.
Watch out for
- Thinking a number divisible by 2 and 3 is not divisible by 6.
- Ignoring the signs when adding.
- Checking only the last digit for divisibility by 3.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 8 skills
Patterns and Relations
Relations, Expressions, and Equality
Graphing a linear relation
I can make a table for a linear relation, graph it, and read it.
Official code: 7.PR1
Modelling preservation of equality
I can model how to keep an equation balanced.
Official code: 7.PR2
Applying equality to solve equations
I can use preservation of equality to solve an equation.
Official code: 7.PR2
Expressions versus equations
I can tell an expression apart from an equation.
Official code: 7.PR3
Evaluating and Solving Equations
Evaluating expressions
I can evaluate an expression by substituting a value.
Official code: 7.PR4
One-step linear equations
I can model and solve a one-step linear equation.
Official code: 7.PR5
Multi-form linear equations
I can solve a two-step linear equation.
Official code: 7.PR6
Simple linear equations
I can solve a simple one-operation linear equation.
Official code: 7.PR6
The official wording · 8 outcomes
- 7.PR1
- Create a table of values from a linear relation, graph the table of values, and analyse the graph to draw conclusions and solve problems.
- 7.PR2
- Demonstrate an understanding of the preservation of equality by: • modelling preservation of equality, concretely, pictorially and symbolically;
- 7.PR2
- • applying preservation of equality to solve equations.
- 7.PR3
- Explain the difference between an expression and an equation.
- 7.PR4
- Evaluate an expression given the value of the variable(s).
- 7.PR5
- 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.PR6
- Model and solve problems that can be represented by linear equations of the form: • + = ; ax b c concretely, pictorially and symbolically, where a, b and c are whole numbers.
- 7.PR6
- Model and solve problems that can be represented by linear equations of the form: ax b • , 0 x b a a = concretely, pictorially and symbolically, where a, b and c are whole numbers.
Key ideas
A linear relation makes a straight-line pattern of points.
We replace each variable with its given value.
The graph lets us predict and solve problems.
Then we use the order of operations to simplify.
The equal sign means both sides have the same value.
Watch out for
- Plotting the coordinates in the wrong order.
- Adding before multiplying after substituting.
- Joining points that should not be connected.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 8 skills
Shape and Space
Circles
Radius, diameter, and circumference
I can relate radius, diameter, and circumference of a circle.
Official code: 7.SS1
Sum of the central angles
I can find and use the sum of the central angles of a circle.
Official code: 7.SS1
Constructing circles
I can construct a circle with a given radius or diameter.
Official code: 7.SS1
Solving circle problems
I can solve problems using radius, diameter, and circumference.
Official code: 7.SS1
Area and the Cartesian Plane
Area of triangles
I can find the area of a triangle.
Official code: 7.SS2
Area of parallelograms
I can find the area of a parallelogram.
Official code: 7.SS2
Area of circles
I can find the area of a circle.
Official code: 7.SS2
The Cartesian plane
I can plot and identify points in all four quadrants.
Official code: 7.SS3
The official wording · 8 outcomes
- 7.SS1
- Demonstrate an understanding of circles by: • describing the relationships among radius, diameter and circumference of circles; • relating circumference to ;
- 7.SS1
- • determining the sum of the central angles;
- 7.SS1
- • constructing circles with a given radius or diameter;
- 7.SS1
- • solving problems involving the radii, diameters and circumferences of circles.
- 7.SS2
- Develop and apply a formula for determining the area of: • triangles;
- 7.SS2
- • parallelograms;
- 7.SS2
- • circles.
- 7.SS3
- Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
Key ideas
The diameter is twice the radius.
A triangle is half of a rectangle with the same base and height.
The circumference is pi times the diameter.
Area equals half the base times the height.
The central angles around the centre add to 360°.
Watch out for
- Mixing up radius and diameter.
- Forgetting the one-half in the formula.
- Using the radius where the diameter is needed for circumference.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 5 skills
Statistics and Probability
Central Tendency and Probability
Mean, median, mode, and range
I can find the mean, median, mode, and range of a data set.
Official code: 7.SP1
Choosing the best measure
I can choose the best measure of central tendency for a data set.
Official code: 7.SP1
The effect of an outlier
I can describe how an outlier changes the mean, median, and mode.
Official code: 7.SP2
Expressing probabilities
I can express a probability as a ratio, fraction, and percent.
Official code: 7.SP3
Sample space of two events
I can list the sample space for two independent events.
Official code: 7.SP4
The official wording · 5 outcomes
- 7.SP1
- Demonstrate an understanding of central tendency and range by: • determining the measures of central tendency (mean, median, mode) and range;
- 7.SP1
- • determining the most appropriate measures of central tendency to report findings.
- 7.SP2
- Determine the effect on the mean, median and mode when an outlier is included in a data set.
- 7.SP3
- Express probabilities as ratios, fractions and percents.
- 7.SP4
- Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
Key ideas
The mean is the total divided by the count; the median is the middle value.
The mode is the most common value; the range is the spread.
The median is best when there are extreme values.
The mode is best for the most common category.
An outlier is a value far from the rest of the data.
Watch out for
- Forgetting to order the data before finding the median.
- Confusing the mode with the mean.
- Always using the mean regardless of the data.
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.
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The official curriculum
This page follows Prince Edward Island’s own curriculum for Mathematics, Grade 7.
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Questions about Mathematics, Grade 7
What is Mathematics, Grade 7?
Prince Edward Island’s Grade 7 math course: 4 units and 30 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. Prince Edward Island 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.
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