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Skills available for Manitoba grade 7 math curriculum

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Manitoba Curriculum Framework Manitoba Curriculum Framework
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7.N Number

Develop number sense.
- 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.
  - Divisibility rules (7-A.4)
- 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.
  - Convert between decimals and fractions or mixed numbers (7-J.2)
- 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
  - 7.N.7.a benchmarks.
    - Decimal number lines (7-D.3)
    - Compare fractions using benchmarks (7-F.7)
  - 7.N.7.b place value.
    - Compare and order decimals (7-D.2)
  - 7.N.7.c equivalent fractions and/or decimals.

7.PR Patterns and Relations

Use patterns to describe the world and solve problems.
- 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.
Represent algebraic expressions in multiple ways.
- 7.PR.3 Demonstrate an understanding of preservation of equality by
  - 7.PR.3.a modeling preservation of equality, concretely, pictorially, and symbolically.
  - 7.PR.3.b applying preservation of equality to solve equations.
    - Solve proportions (7-L.12)
    - Solve proportions: word problems (7-L.13)
- 7.PR.4 Explain the difference between an expression and an equation.
  - Identify terms and coefficients (7-T.7)
- 7.PR.5 Evaluate an expression given the value of the variable(s).
  - Evaluate linear expressions (7-T.3)
  - Evaluate multi-variable expressions (7-T.4)
- 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.
  - Which x satisfies an equation? (7-U.1)
  - Solve one-step equations (7-U.5)
- 7.PR.7 Model and solve problems that can be represented by linear equations of the form
  - 7.PR.7.a ax + b = c concretely, pictorially, and symbolically, where a, b, and c are whole numbers.
  - 7.PR.7.b ax = b concretely, pictorially, and symbolically, where a and b are whole numbers.
    - Solve one-step equations (7-U.5)
  - 7.PR.7.c x/a = b, a ≠ 0 concretely, pictorially, and symbolically, where a and b are whole numbers.
    - Solve one-step equations (7-U.5)

7.SS Shape and Space

Use direct or indirect measurement to solve problems.
- 7.SS.1 Demonstrate an understanding of circles by
  - 7.SS.1.a describing the relationships among radius, diameter, and circumference of circles.
    - Parts of a circle (7-X.16)
  - 7.SS.1.b relating circumference to pi (π).
  - 7.SS.1.c determining the sum of the central angles.
    - Central angles of circles (7-X.17)
  - 7.SS.1.d constructing circles with a given radius or diameter.
  - 7.SS.1.e solving problems involving the radii, diameters, and circumferences of circles.
    - Circumference of circles (7-BB.7)
    - Circles: word problems (7-BB.9)
- 7.SS.2 Develop and apply a formula for determining the area of
  - 7.SS.2.a triangles.
    - Understanding area of a triangle (6-DD.6)
    - Area of triangles (7-BB.3)
  - 7.SS.2.b parallelograms.
    - Understanding area of a parallelogram (6-DD.4)
    - Area of rectangles and parallelograms (7-BB.2)
  - 7.SS.2.c circles.
    - Area of circles (7-BB.8)
Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- 7.SS.3 Perform geometric constructions, including
  - 7.SS.3.a perpendicular line segments.
    - Construct a perpendicular line (7-Z.4)
  - 7.SS.3.b parallel line segments.
    - Construct parallel lines (7-Z.5)
  - 7.SS.3.c perpendicular bisectors.
    - Construct the midpoint or perpendicular bisector of a segment (7-Z.1)
  - 7.SS.3.d angle bisectors.
    - Construct an angle bisector (7-Z.2)
Describe and analyze position and motion of objects and shapes.
- 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).

7.SP Statistics and Probability

Collect, display, and analyze data to solve problems.
- 7.SP.1 Demonstrate an understanding of central tendency and range by
  - 7.SP.1.a determining the measures of central tendency (mean, median, mode) and range.
  - 7.SP.1.b 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.
  - Changes in mean and range (7-DD.7)
  - Changes in mean, median, mode and range (7-DD.8)
- 7.SP.3 Construct, label, and interpret circle graphs to solve problems.
  - Interpret circle graphs (7-CC.11)
  - Circle graphs and central angles (7-CC.12)
Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
- 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.
  - Compound events: find the number of outcomes (7-EE.6)
- 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.

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7.N Number

Develop number sense.

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

7.N.7.a benchmarks.

7.N.7.b place value.

7.N.7.c equivalent fractions and/or decimals.

7.PR Patterns and Relations

Use patterns to describe the world and solve problems.

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.

Represent algebraic expressions in multiple ways.

7.PR.3 Demonstrate an understanding of preservation of equality by

7.PR.3.a modeling preservation of equality, concretely, pictorially, and symbolically.

7.PR.3.b 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

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

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

7.PR.7.c x/a = b, a ≠ 0 concretely, pictorially, and symbolically, where a and b are whole numbers.

7.SS Shape and Space

Use direct or indirect measurement to solve problems.

7.SS.1 Demonstrate an understanding of circles by

7.SS.1.a describing the relationships among radius, diameter, and circumference of circles.

7.SS.1.b relating circumference to pi (π).

7.SS.1.c determining the sum of the central angles.

7.SS.1.d constructing circles with a given radius or diameter.

7.SS.1.e solving problems involving the radii, diameters, and circumferences of circles.

7.SS.2 Develop and apply a formula for determining the area of

7.SS.2.a triangles.

7.SS.2.b parallelograms.

7.SS.2.c circles.

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

7.SS.3 Perform geometric constructions, including

7.SS.3.a perpendicular line segments.

7.SS.3.b parallel line segments.

7.SS.3.c perpendicular bisectors.

7.SS.3.d angle bisectors.

Describe and analyze position and motion of objects and shapes.

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).

7.SP Statistics and Probability

Collect, display, and analyze data to solve problems.

7.SP.1 Demonstrate an understanding of central tendency and range by

7.SP.1.a determining the measures of central tendency (mean, median, mode) and range.

7.SP.1.b 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.

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

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.