Newfoundland and Labrador

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Skills available for Newfoundland and Labrador 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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Newfoundland and Labrador Curriculum: Grade 9 Newfoundland and Labrador Curriculum: Grade 9
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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Number

Develop number sense.
- 9N1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by: representing repeated multiplication using powers; using patterns to show that a power with an exponent of zero is equal to one; solving problems involving powers.
  - Understanding exponents (9-I.1)
  - Powers with integer bases (9-I.2)
- 9N2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents: (a^m)(aⁿ) = a^{m + n}; a^m ÷ aⁿ = a^{m - n}, m > n; (a^m)ⁿ = a^mn; (ab)^m = a^mb^m; (^a/_b)ⁿ = aⁿ/bⁿ, b ≠ 0.
- 9N3 Demonstrate an understanding of rational numbers by: comparing and ordering rational numbers; solving problems that involve arithmetic operations on rational numbers.
- 9N4 Explain and apply the order of operations, including exponents, with and without technology.
  - Identify mistakes involving the order of operations (9)
- 9N5 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)
- 9N6 Determine an approximate square root of positive rational numbers that are non-perfect squares.
  - Estimate square roots (9-A.8)

Patterns and Relations

Use patterns to describe the world and to solve problems.
- 9PR1 Generalize a pattern arising from a problem-solving context, using linear equations, and verify by substitution.
- 9PR2 Graph a linear relation, analyze the graph and interpolate or extrapolate to solve problems.
Represent algebraic expressions in multiple ways.
- 9PR3 Model and solve problems using linear equations of the form: ax = b; ^a/_x = b, x ≠ 0; ax + b = c; ^x/_a + b = c, a ≠ 0; ax = b + cx; a(x + b) = c; ax + b = cx + d; a(bx + c) = d(ex + f); ^a/_x = b, x ≠ 0 where a, b, c, d, e and f are rational numbers.
- 9PR4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
- 9PR5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
- 9PR6 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)
- 9PR7 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.
  - Multiply a polynomial by a monomial (9-V.6)
  - Multiply polynomials to find area (9-V.7)

Shape and Space

Use direct and indirect measurement to solve problems.
- 9SS1 Solve problems and justify the solution strategy using the following circle properties: the perpendicular from the centre of a circle to a chord bisects the chord; the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc; the inscribed angles subtended by the same arc are congruent; a tangent to a circle is perpendicular to the radius at the point of tangency.
Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- 9SS2 Determine the surface area of composite 3-D objects to solve problems.
- 9SS3 Demonstrate an understanding of similarity of polygons.
  - Similar figures: side lengths and angle measures (9-E.17)
  - Similar triangles and indirect measurement (9-E.18)
Describe and analyze position and motion of objects and shapes.
- 9SS4 Draw and interpret scale diagrams of 2-D shapes.
- 9SS5 Demonstrate an understanding of line and rotation symmetry.

Statistics and Probability

Collect, display and analyze data to solve problems.
- 9SP1 Describe the effect of: bias; use of language; ethics; cost; time and timing; privacy; cultural sensitivity on the collection of data.
  - Identify biased samples (9-Y.5)
- 9SP2 Select and defend the choice of using either a population or a sample of a population to answer a question.
- 9SP3 Develop and implement a project plan for the collection, display and analysis of data by: formulating a question for investigation; choosing a data collection method that includes social considerations; selecting a population or a sample; collecting the data; displaying the collected data in an appropriate manner; drawing conclusions to answer the question.
Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
- 9SP4 Demonstrate an understanding of the role of probability in society.
  - Theoretical probability (9-X.1)
  - Experimental probability (9-X.2)

Newfoundland and Labrador

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Number

Develop number sense.

9N1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by: representing repeated multiplication using powers; using patterns to show that a power with an exponent of zero is equal to one; solving problems involving powers.

9N2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents: (am)(an) = am + n; am ÷ an = am - n, m > n; (am)n = amn; (ab)m = ambm; (a/b)n = an/bn, b ≠ 0.

9N3 Demonstrate an understanding of rational numbers by: comparing and ordering rational numbers; solving problems that involve arithmetic operations on rational numbers.

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

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

9N6 Determine an approximate square root of positive rational numbers that are non-perfect squares.

Patterns and Relations

Use patterns to describe the world and to solve problems.

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

9PR2 Graph a linear relation, analyze the graph and interpolate or extrapolate to solve problems.

Represent algebraic expressions in multiple ways.

9PR3 Model and solve problems using linear equations of the form: ax = b; a/x = b, x ≠ 0; ax + b = c; x/a + b = c, a ≠ 0; ax = b + cx; a(x + b) = c; ax + b = cx + d; a(bx + c) = d(ex + f); a/x = b, x ≠ 0 where a, b, c, d, e and f are rational numbers.

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

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

9PR6 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).

9PR7 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.

Shape and Space

Use direct and indirect measurement to solve problems.

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

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

9SS3 Demonstrate an understanding of similarity of polygons.

Describe and analyze position and motion of objects and shapes.

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

9SS5 Demonstrate an understanding of line and rotation symmetry.

Statistics and Probability

Collect, display and analyze data to solve problems.

9SP1 Describe the effect of: bias; use of language; ethics; cost; time and timing; privacy; cultural sensitivity on the collection of data.

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

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

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

9N2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents: (a^m)(aⁿ) = a^{m + n}; a^m ÷ aⁿ = a^{m - n}, m > n; (a^m)ⁿ = a^mn; (ab)^m = a^mb^m; (^a/_b)ⁿ = aⁿ/bⁿ, b ≠ 0.

9PR3 Model and solve problems using linear equations of the form: ax = b; ^a/_x = b, x ≠ 0; ax + b = c; ^x/_a + b = c, a ≠ 0; ax = b + cx; a(x + b) = c; ax + b = cx + d; a(bx + c) = d(ex + f); ^a/_x = b, x ≠ 0 where a, b, c, d, e and f are rational numbers.