Prince Edward Island

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Skills available for Prince Edward Island grade 9 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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9.N Number

9.N1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:
- 9.N1.1 representing repeated multiplication using powers;
  - Understanding exponents (8-G.1)
  - Exponents with integer bases (9-I.2)
- 9.N1.2 using patterns to show that a power with an exponent of zero is equal to one;
- 9.N1.3 solving problems involving powers.
9.N2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.
9.N3 Demonstrate an understanding of rational numbers by:
- 9.N3.1 comparing and ordering rational numbers;
  - Compare rational numbers (9-A.2)
  - Put rational numbers in order (9-A.3)
- 9.N3.2 solving problems that involve arithmetic operations on rational numbers.
9.N4 Explain and apply the order of operations, including exponents, with and without technology.
9.N5 Determine the square root of positive rational numbers that are perfect squares.
- Square roots of perfect squares (9-A.6)
- Square roots of fractions and decimals (9-A.7)
9.N6 Determine an approximate square root of positive rational numbers that are nonperfect squares.
- Estimate square roots (9-A.8)

9.PR Patterns and Relations

9.PR1 Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution.
- Write linear functions to solve word problems (9-S.12)
9.PR2 Graph linear relations, analyse the graph and interpolate or extrapolate to solve problems.
9.PR3 Model and solve problems, where a, b, c, d, e and f are rational numbers, using linear equations of the form:
- 9.PR3.1 ax = b;
  - Solve one-step linear equations (9-N.3)
- 9.PR3.2 x/a = b, a ≠ 0;
  - Solve one-step linear equations (9-N.3)
- 9.PR3.3 ax + b = c;
- 9.PR3.4 x/a + b = c, a ≠ 0;
  - Solve two-step linear equations (9-N.4)
  - Solve equations: complete the solution (9-N.7)
- 9.PR3.5 ax = b + cx;
  - Solve equations with variables on both sides (9-N.6)
- 9.PR3.6 a (x + b) = c;
- 9.PR3.7 ax + b = cx + d;
- 9.PR3.8 a (bx + c) = d (ex + f);
  - Solve equations with variables on both sides (9-N.6)
  - Solve linear equations: mixed review (9-N.11)
- 9.PR3.9 a/x = b, x ≠ 0
9.PR4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
9.PR5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
- Model polynomials with algebra tiles (9-V.2)
9.PR6 Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).
- Add and subtract polynomials using algebra tiles (9-V.3)
- Add polynomials to find perimeter (9-V.5)
9.PR7 Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.

9.SS Shape and Space

9.SS1 Solve problems and justify the solution strategy using circle properties including:
- 9.SS1.1 the perpendicular from the centre of a circle to a chord bisects the chord;
- 9.SS1.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc;
- 9.SS1.3 the inscribed angles subtended by the same arc are congruent;
- 9.SS1.4 a tangent to a circle is perpendicular to the radius at the point of tangency.
  - Tangent lines (9-F.9)
9.SS2 Determine the surface area of composite 3-D objects to solve problems.
9.SS3 Demonstrate an understanding of similarity of polygons.
9.SS4 Draw and interpret scale diagrams of 2-D shapes.
- Scale drawings: word problems (9-C.7)
- Dilations and scale factors (9-E.26)
9.SS5 Demonstrate an understanding of line and rotation symmetry.

9.SP Statistics and Probability

9.SP1 Describe the effect of:
- 9.SP1.1 bias; on the collection of data.
  - Identify biased samples (9-Y.5)
- 9.SP1.2 use of language; on the collection of data.
- 9.SP1.3 ethics; on the collection of data.
- 9.SP1.4 cost; on the collection of data.
- 9.SP1.5 time and timing; on the collection of data.
- 9.SP1.6 privacy; on the collection of data.
- 9.SP1.7 cultural sensitivity on the collection of data.
9.SP2 Select and defend the choice of using either a population or a sample of a population to answer a question.
9.SP3 Develop and implement a project plan for the collection, display and analysis of data by:
- 9.SP3.1 formulating a question for investigation;
- 9.SP3.2 choosing a data collection method that includes social considerations;
- 9.SP3.3 selecting a population or a sample;
- 9.SP3.4 collecting the data;
- 9.SP3.5 displaying the collected data in an appropriate manner;
  - Choose the best type of graph (8-AA.18)
  - Create bar graphs, line graphs and histograms (9-P.2)
- 9.SP3.6 drawing conclusions to answer the question.
9.SP4 Demonstrate an understanding of the role of probability in society.

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9.N Number

9.N1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:

9.N1.1 representing repeated multiplication using powers;

9.N1.2 using patterns to show that a power with an exponent of zero is equal to one;

9.N1.3 solving problems involving powers.

9.N2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.

9.N3 Demonstrate an understanding of rational numbers by:

9.N3.1 comparing and ordering rational numbers;

9.N3.2 solving problems that involve arithmetic operations on rational numbers.

9.N4 Explain and apply the order of operations, including exponents, with and without technology.

9.N5 Determine the square root of positive rational numbers that are perfect squares.

9.N6 Determine an approximate square root of positive rational numbers that are nonperfect squares.

9.PR Patterns and Relations

9.PR1 Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution.

9.PR2 Graph linear relations, analyse the graph and interpolate or extrapolate to solve problems.

9.PR3 Model and solve problems, where a, b, c, d, e and f are rational numbers, using linear equations of the form:

9.PR3.1 ax = b;

9.PR3.2 x/a = b, a ≠ 0;

9.PR3.3 ax + b = c;

9.PR3.4 x/a + b = c, a ≠ 0;

9.PR3.5 ax = b + cx;

9.PR3.6 a (x + b) = c;

9.PR3.7 ax + b = cx + d;

9.PR3.8 a (bx + c) = d (ex + f);

9.PR3.9 a/x = b, x ≠ 0

9.PR4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.

9.PR5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).

9.PR6 Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).

9.PR7 Model, record and explain the operations of multiplication and division of polynomial expressions (limited to polynomials of degree less than or equal to 2) by monomials, concretely, pictorially and symbolically.

9.SS Shape and Space

9.SS1 Solve problems and justify the solution strategy using circle properties including:

9.SS1.1 the perpendicular from the centre of a circle to a chord bisects the chord;

9.SS1.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc;

9.SS1.3 the inscribed angles subtended by the same arc are congruent;

9.SS1.4 a tangent to a circle is perpendicular to the radius at the point of tangency.

9.SS2 Determine the surface area of composite 3-D objects to solve problems.

9.SS3 Demonstrate an understanding of similarity of polygons.

9.SS4 Draw and interpret scale diagrams of 2-D shapes.

9.SS5 Demonstrate an understanding of line and rotation symmetry.

9.SP Statistics and Probability

9.SP1 Describe the effect of:

9.SP1.1 bias; on the collection of data.

9.SP1.2 use of language; on the collection of data.

9.SP1.3 ethics; on the collection of data.

9.SP1.4 cost; on the collection of data.

9.SP1.5 time and timing; on the collection of data.

9.SP1.6 privacy; on the collection of data.

9.SP1.7 cultural sensitivity on the collection of data.

9.SP2 Select and defend the choice of using either a population or a sample of a population to answer a question.

9.SP3 Develop and implement a project plan for the collection, display and analysis of data by:

9.SP3.1 formulating a question for investigation;

9.SP3.2 choosing a data collection method that includes social considerations;

9.SP3.3 selecting a population or a sample;

9.SP3.4 collecting the data;

9.SP3.5 displaying the collected data in an appropriate manner;

9.SP3.6 drawing conclusions to answer the question.

9.SP4 Demonstrate an understanding of the role of probability in society.