Math 9 Outcomes
Below is a list of outcomes that will be covered throughout the school year.
Number Sense (review/introduction of concepts that lay the groundwork for the rest of the year) Major Outcomes
A1 Solve problems involving square roots and principal square roots
A3 Demonstrate an understanding of the meaning and uses of irrational numbers
A4 Demonstrate an understanding of the interrelationships of subsets of real numbers
B1 Model, solve and create problems involving real numbers
B4 Demonstrate an understanding of and apply the exponent laws for integral exponents
B5 Model, solve and create problems involving numbers expressed in scientific notation
B7 Model, solve and create problems involving the matrix operations of addition, subtraction and scalar multiplication
Contributing Outcomes
A5 Compare and order real numbers
A6 Represent problem situations using matrices
B2 Add, subtract, multiply and divide rational numbers in fractional and decimal forms, using the most appropriate method
B3 Apply the order of operations in rational number computations
B6 Determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation
Data Management (drawing and interpreting graphs) Major Outcomes
F1 describe the characteristics of possible relationships in scatter plots
F4 select and defend the most appropriate method of displaying data.
F5 draw inferences and make predictions based upon data analysis and data displays
F6 demonstrating the role of data management in society
F7 evaluate arguments and interpretations that are based on data analysis
Contributing Outcomes
F2/F3 sketch lines of best fit for linear and non-linear data
Probability Major Outcomes
G1 make predictions of probabilities involving dependent and independent events by designing and conducting experiments and simulations
G2 determine the theoretical probabilities of independent and dependent events
G3 demonstrate an understanding of how experimental and theoretical probabilities are related
G4 recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments
Polynomials (essentially algebra, leads directly into Grade 10 work next year) Major Outcomes
B8 Add and subtract polynomial expressions symbolically to solve problems
B9 Find products of two monomials, a monomial and a polynomial and two binomials, concretely, pictorially and symbolically
B10 Find quotients of polynomials with monomial divisors
B11 Factor algebraic expressions with common monomial factors, concretely, pictorially and symbolically
Contributing Outcomes
B1 Model, solve and create problems involving real numbers
B12 Evaluate polynomial expressions
B13 Demonstrate an understanding of the applicability of commutative, associative, distributive, identity and inverse properties to operations involving algebraic expressions
Equations and Inequalities (isolating and solving for x) Major Outcomes
A2 Graph and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers
C6 Solve single variable equations algebraically, and verify the solutions
C7 Solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines
C8 Solve and create problems involving linear equations and inequalities
Patterns and Relations (interpreting graphs and y=mx + b) C1 Represent patterns and relationships in a variety of formats, and use these representations to predict and justify unknown values
C2 Interpret graphs that represent linear and non-linear data
C3 Construct and analyze tables and graphs to describe how changes in one quantity affect a related quantity
C4 Determine the equations of lines by obtaining their slopes and y-intercept from graphs, and sketch graphs of equations, using y-intercept and slopes
C5 Explain the connections among different representations of patterns and relationships
D1 Solve indirect measurement problems by connecting rates and slopes
Measurement (volume of 3D solids) Major Outcomes
D2 Solve measurement problems involving conversion among SI units
D3 Relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders
D4 Estimate, measure and calculate dimensions, volumes and surface areas of pyramids, cones and spheres in problem situations
Contributing Outcomes
A1 Solve problems involving square roots and principal square root
B1 Model, solve and create problems involving real numbers
B3 Apply the order of operations in rational number computations
B5 model, solve and create problems involving numbers expressed in scientific notation
B15 Select and use appropriate strategies in problem situations
C6 Solve single-variable equations algebraically, and verify the solutions
Geometry Major Outcomes
E1 interpret, represent, and apply mapping notations for transformations on the coordinate plane
E2 make and apply informal deductions about the minimum sufficient conditions to guarantee a translation, a reflection, and a 180° rotation
E3 make and apply informal deductions about the minimum sufficient conditions to guarantee the similarity of two triangles
Below is a list of outcomes that will be covered throughout the school year.
Number Sense (review/introduction of concepts that lay the groundwork for the rest of the year) Major Outcomes
A1 Solve problems involving square roots and principal square roots
A3 Demonstrate an understanding of the meaning and uses of irrational numbers
A4 Demonstrate an understanding of the interrelationships of subsets of real numbers
B1 Model, solve and create problems involving real numbers
B4 Demonstrate an understanding of and apply the exponent laws for integral exponents
B5 Model, solve and create problems involving numbers expressed in scientific notation
B7 Model, solve and create problems involving the matrix operations of addition, subtraction and scalar multiplication
Contributing Outcomes
A5 Compare and order real numbers
A6 Represent problem situations using matrices
B2 Add, subtract, multiply and divide rational numbers in fractional and decimal forms, using the most appropriate method
B3 Apply the order of operations in rational number computations
B6 Determine the reasonableness of results in problem situations involving square roots, rational numbers, and numbers written in scientific notation
Data Management (drawing and interpreting graphs) Major Outcomes
F1 describe the characteristics of possible relationships in scatter plots
F4 select and defend the most appropriate method of displaying data.
F5 draw inferences and make predictions based upon data analysis and data displays
F6 demonstrating the role of data management in society
F7 evaluate arguments and interpretations that are based on data analysis
Contributing Outcomes
F2/F3 sketch lines of best fit for linear and non-linear data
Probability Major Outcomes
G1 make predictions of probabilities involving dependent and independent events by designing and conducting experiments and simulations
G2 determine the theoretical probabilities of independent and dependent events
G3 demonstrate an understanding of how experimental and theoretical probabilities are related
G4 recognize and explain why decisions based on probabilities may be combinations of theoretical calculations, experimental results, and subjective judgments
Polynomials (essentially algebra, leads directly into Grade 10 work next year) Major Outcomes
B8 Add and subtract polynomial expressions symbolically to solve problems
B9 Find products of two monomials, a monomial and a polynomial and two binomials, concretely, pictorially and symbolically
B10 Find quotients of polynomials with monomial divisors
B11 Factor algebraic expressions with common monomial factors, concretely, pictorially and symbolically
Contributing Outcomes
B1 Model, solve and create problems involving real numbers
B12 Evaluate polynomial expressions
B13 Demonstrate an understanding of the applicability of commutative, associative, distributive, identity and inverse properties to operations involving algebraic expressions
Equations and Inequalities (isolating and solving for x) Major Outcomes
A2 Graph and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers
C6 Solve single variable equations algebraically, and verify the solutions
C7 Solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines
C8 Solve and create problems involving linear equations and inequalities
Patterns and Relations (interpreting graphs and y=mx + b) C1 Represent patterns and relationships in a variety of formats, and use these representations to predict and justify unknown values
C2 Interpret graphs that represent linear and non-linear data
C3 Construct and analyze tables and graphs to describe how changes in one quantity affect a related quantity
C4 Determine the equations of lines by obtaining their slopes and y-intercept from graphs, and sketch graphs of equations, using y-intercept and slopes
C5 Explain the connections among different representations of patterns and relationships
D1 Solve indirect measurement problems by connecting rates and slopes
Measurement (volume of 3D solids) Major Outcomes
D2 Solve measurement problems involving conversion among SI units
D3 Relate the volumes of pyramids and cones to the volumes of corresponding prisms and cylinders
D4 Estimate, measure and calculate dimensions, volumes and surface areas of pyramids, cones and spheres in problem situations
Contributing Outcomes
A1 Solve problems involving square roots and principal square root
B1 Model, solve and create problems involving real numbers
B3 Apply the order of operations in rational number computations
B5 model, solve and create problems involving numbers expressed in scientific notation
B15 Select and use appropriate strategies in problem situations
C6 Solve single-variable equations algebraically, and verify the solutions
Geometry Major Outcomes
E1 interpret, represent, and apply mapping notations for transformations on the coordinate plane
E2 make and apply informal deductions about the minimum sufficient conditions to guarantee a translation, a reflection, and a 180° rotation
E3 make and apply informal deductions about the minimum sufficient conditions to guarantee the similarity of two triangles