Prince Edward Island

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Skills available for Prince Edward Island grade 7 math curriculum

Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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Prince Edward Island Curriculum Prince Edward Island Curriculum
WNCP Common Curriculum Frameworks WNCP Common Curriculum Frameworks
CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum

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7.N Number

7 Develop number sense.
- 7.N1 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.
  - Divisibility rules (7-A.4)
- 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 the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.
  - Convert between decimals and fractions or mixed numbers (7-J.2)
- 7.N5 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.N6 Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
- 7.N7 Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:
  - 7 benchmarks;
  - 7 place value;
    - Decimal numbers review (7-D.1)
    - Compare and order decimals (7-D.2)
  - 7 equivalent fractions and/or decimals.

7.PR Patterns and relations

7 Use patterns to describe the world and solve problems.
- 7.PR1 Demonstrate an understanding of oral and written patterns and their equivalent linear relations.
- 7.PR2 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 Represent algebraic expressions in multiple ways.
- 7.PR3 Demonstrate an understanding of preservation of equality by:
  - 7 modeling preservation of equality, concretely, pictorially and symbolically;
  - 7 applying preservation of equality to solve equations.
- 7.PR4 Explain the difference between an expression and an equation.
- 7.PR5 Evaluate an expression given the value of the variable(s).
- 7.PR6 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.PR7 Model and solve problems that can be represented by linear equations of the form:
  - 7 ax + b = c; concretely, pictorially and symbolically, where a, b and c are whole numbers.
  - 7 ax= b; concretely, pictorially and symbolically, where a, b and c are whole numbers.
    - Solve one-step equations (7-U.5)
  - 7 x/a = b, a does not equal 0 concretely, pictorially and symbolically, where a, b and c are whole numbers.
    - Solve one-step equations (7-U.5)

7.SS Shape and Space

7 Use direct or indirect measurement to solve problems.
- 7.SS1 Demonstrate an understanding of circles by:
  - 7 describing the relationships among radius, diameter and circumference of circles;
    - Parts of a circle (7-X.16)
  - 7 relating circumference to pi;
    - Circumference of circles (7-BB.7)
    - Circles: word problems (7-BB.9)
  - 7 determining the sum of the central angles;
  - 7 constructing circles with a given radius or diameter;
  - 7 solving problems involving the radii, diameters and circumferences of circles.
- 7.SS2 Develop and apply a formula for determining the area of:
  - 7 triangles;
    - Area of triangles (6-DD.7)
  - 7 parallelograms;
    - Area of rectangles and parallelograms (7-BB.2)
  - 7 circles.
    - Circumference of circles (7-BB.7)
    - Circles: word problems (7-BB.9)
7 Describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.
- 7.SS3 Perform geometric constructions, including:
  - 7 perpendicular line segments;
    - Construct a perpendicular line (7-Z.4)
  - 7 parallel line segments;
    - Construct parallel lines (7-Z.5)
  - 7 perpendicular bisectors;
    - Find lengths and measures of bisected line segments and angles (7-X.15)
    - Construct the midpoint or perpendicular bisector of a segment (7-Z.1)
  - 7 angle bisectors.
    - Find lengths and measures of bisected line segments and angles (7-X.15)
    - Construct an angle bisector (7-Z.2)
7 Describe and analyse position and motion of objects and shapes.
- 7.SS4 Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
- 7.SS5 Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).

7.SP Statistics and Probability

7 Collect, display and analyse data to solve problems.
- 7.SP1 Demonstrate an understanding of central tendency and range by:
  - 7 determining the measures of central tendency (mean, median, mode) and range;
  - 7 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.
  - Changes in mean, median, mode and range (7-DD.8)
- 7.SP3 Construct, label and interpret circle graphs to solve problems.
  - Interpret circle graphs (7-CC.11)
  - Circle graphs and central angles (7-CC.12)
7 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
- 7.SP4 Express probabilities as ratios, fractions and percents.
- 7.SP5 Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
  - Compound events: find the number of outcomes (7-EE.6)
  - Counting principle (7-EE.7)
- 7.SP6 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.

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7.N Number

7 Develop number sense.

7.N1 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.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 the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.

7.N5 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.N6 Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.

7.N7 Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using:

7 benchmarks;

7 place value;

7 equivalent fractions and/or decimals.

7.PR Patterns and relations

7 Use patterns to describe the world and solve problems.

7.PR1 Demonstrate an understanding of oral and written patterns and their equivalent linear relations.

7.PR2 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 Represent algebraic expressions in multiple ways.

7.PR3 Demonstrate an understanding of preservation of equality by:

7 modeling preservation of equality, concretely, pictorially and symbolically;

7 applying preservation of equality to solve equations.

7.PR4 Explain the difference between an expression and an equation.

7.PR5 Evaluate an expression given the value of the variable(s).

7.PR6 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.PR7 Model and solve problems that can be represented by linear equations of the form:

7 ax + b = c; concretely, pictorially and symbolically, where a, b and c are whole numbers.

7 ax= b; concretely, pictorially and symbolically, where a, b and c are whole numbers.

7 x/a = b, a does not equal 0 concretely, pictorially and symbolically, where a, b and c are whole numbers.

7.SS Shape and Space

7 Use direct or indirect measurement to solve problems.

7.SS1 Demonstrate an understanding of circles by:

7 describing the relationships among radius, diameter and circumference of circles;

7 relating circumference to pi;

7 determining the sum of the central angles;

7 constructing circles with a given radius or diameter;

7 solving problems involving the radii, diameters and circumferences of circles.

7.SS2 Develop and apply a formula for determining the area of:

7 triangles;

7 parallelograms;

7 circles.

7 Describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

7.SS3 Perform geometric constructions, including:

7 perpendicular line segments;

7 parallel line segments;

7 perpendicular bisectors;

7 angle bisectors.

7 Describe and analyse position and motion of objects and shapes.

7.SS4 Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.

7.SS5 Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).

7.SP Statistics and Probability

7 Collect, display and analyse data to solve problems.

7.SP1 Demonstrate an understanding of central tendency and range by:

7 determining the measures of central tendency (mean, median, mode) and range;

7 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 Construct, label and interpret circle graphs to solve problems.

7 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

7.SP4 Express probabilities as ratios, fractions and percents.

7.SP5 Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

7.SP6 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.