Newfoundland and Labrador

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Skills available for Newfoundland and Labrador grade 9 math curriculum

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Newfoundland and Labrador Curriculum Newfoundland and Labrador 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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N Number

N.1 Develop number sense.
- N.1.1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:
  - N.1.1.1 representing repeated multiplication using powers
    - Understanding exponents (8-G.1)
    - Exponents with integer bases (9-I.2)
  - N.1.1.2 using patterns to show that a power with an exponent of zero is equal to one
  - N.1.1.3 solving problems involving powers.
- N.1.2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.
- N.1.3 Demonstrate an understanding of rational numbers by:
  - N.1.3.1 comparing and ordering rational numbers
    - Compare rational numbers (9-A.2)
    - Put rational numbers in order (9-A.3)
  - N.1.3.2 solving problems that involve arithmetic operations on rational numbers.
- N.1.4 Explain and apply the order of operations, including exponents, with and without technology.
- N.1.5 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)
- N.1.6 Determine an approximate square root of positive rational numbers that are non-perfect squares.
  - Estimate square roots (9-A.8)

PR Patterns and Relations

PR.1 Use patterns to describe the world and solve problems.
- PR.1.1 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)
- PR.1.2 Graph linear relations, analyze the graph and interpolate or extrapolate to solve problems.
PR.2 Represent algebraic expressions in multiple ways.
- PR.2.3 Model and solve problems using linear equations of the form:
  - PR.2.3.1 ax = b where a, b, c, d, e and f are rational numbers.
    - Solve one-step linear equations (9-N.3)
  - PR.2.3.2 x/a = b , a does not equal 0, where a, b, c, d, e and f are rational numbers.
    - Solve one-step linear equations (9-N.3)
  - PR.2.3.3 ax + b = c where a, b, c, d, e and f are rational numbers.
  - PR.2.3.4 x/a + b = c, a does not equal 0, where a, b, c, d, e and f are rational numbers.
    - Solve two-step linear equations (9-N.4)
    - Solve equations: complete the solution (9-N.7)
  - PR.2.3.5 ax = b + cx where a, b, c, d, e and f are rational numbers.
    - Solve equations with variables on both sides (9-N.6)
  - PR.2.3.6 a(x + b) = c where a, b, c, d, e and f are rational numbers.
  - PR.2.3.7 ax + b = cx + d where a, b, c, d, e and f are rational numbers.
  - PR.2.3.8 a(bx + c) = d(ex + f) where a, b, c, d, e and f are rational numbers.
    - Solve equations with variables on both sides (9-N.6)
    - Solve linear equations: mixed review (9-N.11)
  - PR.2.3.9 a/x = b , x does not equal 0, where a, b, c, d, e and f are rational numbers.
- PR.2.4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.
- PR.2.5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).
  - Model polynomials with algebra tiles (9-V.2)
- PR.2.6 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)
- PR.2.7 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.

SS Shape and Space

SS.1 Use direct or indirect measurement to solve problems.
- SS.1.1 Solve problems and justify the solution strategy using circle properties, including:
  - SS.1.1.1 the perpendicular from the centre of a circle to a chord bisects the chord
  - SS.1.1.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc
  - SS.1.1.3 the inscribed angles subtended by the same arc are congruent
  - SS.1.1.4 a tangent to a circle is perpendicular to the radius at the point of tangency.
    - Tangent lines (9-F.9)
SS.2 Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.
- SS.2.2 Determine the surface area of composite 3-D objects to solve problems.
- SS.2.3 Demonstrate an understanding of similarity of polygons.
SS.3 Describe and analyze position and motion of objects and shapes.
- SS.3.4 Draw and interpret scale diagrams of 2-D shapes.
  - Scale drawings: word problems (9-C.7)
  - Dilations and scale factors (9-E.26)
- SS.3.5 Demonstrate an understanding of line and rotation symmetry.

SP Statistics and Probability

SP.1 Collect, display and analyze data to solve problems.
- SP.1.1 Describe the effect of:
  - SP.1.1.1 bias on the collection of data.
    - Identify biased samples (9-Y.5)
  - SP.1.1.2 use of language on the collection of data.
  - SP.1.1.3 ethics on the collection of data.
  - SP.1.1.4 cost on the collection of data.
  - SP.1.1.5 time and timing on the collection of data.
  - SP.1.1.6 privacy on the collection of data.
  - SP.1.1.7 cultural sensitivity on the collection of data.
- SP.1.2 Select and defend the choice of using either a population or a sample of a population to answer a question.
- SP.1.3 Develop and implement a project plan for the collection, display and analysis of data by:
  - SP.1.3.1 formulating a question for investigation
  - SP.1.3.2 choosing a data collection method that includes social considerations
  - SP.1.3.3 selecting a population or a sample
  - SP.1.3.4 collecting the data
  - SP.1.3.5 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)
  - SP.1.3.6 drawing conclusions to answer the question.
SP.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.
- SP.2.4 Demonstrate an understanding of the role of probability in society.

Newfoundland and Labrador

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N Number

N.1 Develop number sense.

N.1.1 Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:

N.1.1.1 representing repeated multiplication using powers

N.1.1.2 using patterns to show that a power with an exponent of zero is equal to one

N.1.1.3 solving problems involving powers.

N.1.2 Demonstrate an understanding of operations on powers with integral bases (excluding base 0) and whole number exponents.

N.1.3 Demonstrate an understanding of rational numbers by:

N.1.3.1 comparing and ordering rational numbers

N.1.3.2 solving problems that involve arithmetic operations on rational numbers.

N.1.4 Explain and apply the order of operations, including exponents, with and without technology.

N.1.5 Determine the square root of positive rational numbers that are perfect squares.

N.1.6 Determine an approximate square root of positive rational numbers that are non-perfect squares.

PR Patterns and Relations

PR.1 Use patterns to describe the world and solve problems.

PR.1.1 Generalize a pattern arising from a problem-solving context using linear equations and verify by substitution.

PR.1.2 Graph linear relations, analyze the graph and interpolate or extrapolate to solve problems.

PR.2 Represent algebraic expressions in multiple ways.

PR.2.3 Model and solve problems using linear equations of the form:

PR.2.3.1 ax = b where a, b, c, d, e and f are rational numbers.

PR.2.3.2 x/a = b , a does not equal 0, where a, b, c, d, e and f are rational numbers.

PR.2.3.3 ax + b = c where a, b, c, d, e and f are rational numbers.

PR.2.3.4 x/a + b = c, a does not equal 0, where a, b, c, d, e and f are rational numbers.

PR.2.3.5 ax = b + cx where a, b, c, d, e and f are rational numbers.

PR.2.3.6 a(x + b) = c where a, b, c, d, e and f are rational numbers.

PR.2.3.7 ax + b = cx + d where a, b, c, d, e and f are rational numbers.

PR.2.3.8 a(bx + c) = d(ex + f) where a, b, c, d, e and f are rational numbers.

PR.2.3.9 a/x = b , x does not equal 0, where a, b, c, d, e and f are rational numbers.

PR.2.4 Explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.

PR.2.5 Demonstrate an understanding of polynomials (limited to polynomials of degree less than or equal to 2).

PR.2.6 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).

PR.2.7 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.

SS Shape and Space

SS.1 Use direct or indirect measurement to solve problems.

SS.1.1 Solve problems and justify the solution strategy using circle properties, including:

SS.1.1.1 the perpendicular from the centre of a circle to a chord bisects the chord

SS.1.1.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

SS.1.1.3 the inscribed angles subtended by the same arc are congruent

SS.1.1.4 a tangent to a circle is perpendicular to the radius at the point of tangency.

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

SS.2.2 Determine the surface area of composite 3-D objects to solve problems.

SS.2.3 Demonstrate an understanding of similarity of polygons.

SS.3 Describe and analyze position and motion of objects and shapes.

SS.3.4 Draw and interpret scale diagrams of 2-D shapes.

SS.3.5 Demonstrate an understanding of line and rotation symmetry.

SP Statistics and Probability

SP.1 Collect, display and analyze data to solve problems.

SP.1.1 Describe the effect of:

SP.1.1.1 bias on the collection of data.

SP.1.1.2 use of language on the collection of data.

SP.1.1.3 ethics on the collection of data.

SP.1.1.4 cost on the collection of data.

SP.1.1.5 time and timing on the collection of data.

SP.1.1.6 privacy on the collection of data.

SP.1.1.7 cultural sensitivity on the collection of data.

SP.1.2 Select and defend the choice of using either a population or a sample of a population to answer a question.

SP.1.3 Develop and implement a project plan for the collection, display and analysis of data by:

SP.1.3.1 formulating a question for investigation

SP.1.3.2 choosing a data collection method that includes social considerations

SP.1.3.3 selecting a population or a sample

SP.1.3.4 collecting the data

SP.1.3.5 displaying the collected data in an appropriate manner

SP.1.3.6 drawing conclusions to answer the question.

SP.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

SP.2.4 Demonstrate an understanding of the role of probability in society.