GCO A: Students will demonstrate number sense and apply number-theory concepts.

 

Specific Curriculum Outcomes: Students will be expected to

A1   solve problems involving square root and principal square root

A2   graph, and write in symbols, and in words, the solution set  for equations and  inequalities involving

       integers and other real numbers  

A3   demonstrate an understanding of the meaning and uses of irrational numbers

A4   demonstrate an understanding of the interrelationships of subsets of real numbers

A5   compare and order real numbers

A6   represent problem situations using matrices

 

GCO B: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations

 

Specific Curriculum Outcomes: Students will be expected to

B1   model, solve, and create problems involving real numbers

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

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

B6   determine the reasonableness of results in problem situations involving square roots, rational numbers,
       and numbers written in scientific notation

B7   model, solve, and create problems involving the matrix operations of addition, subtraction, and scalar
       multiplication

B8   add and subtract polynominal expressions symbolically to solve problems

B9   factor algebraic expressions with common monomial factors, concretely, pictorially, and symbolically

B10  recognize that the dimensions of a rectangular area model of a polynomial are its factors

B11  find products of two monomials, a monomial and a polynomial, and two binomials, concretely, pictorially,
        and symbolically

B12  find quotients of polynomials with monomial divisors

B13  evaluate polynimial expressions

B14  demonstrate an understanding of the applicability of commutative, associative, distributive, identity, and
        inverse properties to operations involving algebraic expressions

B15  select and use appropriate strategies in problem situations

 

GCO C: Students will explore, recognize, represent, and apply patterns and relationships, both informally and formally.

 

Specific Curriculum Outcomes: Students will be expected to

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 analyse 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-intercepts from graphs and sketch graphs
       of equations using y-intercepts and slopes

C5   explain the connections among different representations of patterns and relationships

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

GCO D: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

 

Specific Curriculum Outcomes: Students will be expected to

D1   solve indirect mesasurement problems by connecting rates and slopes

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

D5   demonstrate an understanding of and apply proportions within similar triangles

 

GCO E: Students will demonstrate spatial sense and apply geometric concepts, properties, and relationships

 

Specific Curriculum Outcomes: Students will be expected to

E1   investigate, and demonstrate an understanding of, the minimum sufficient conditions to produce unique
       triangles

E2   investigate, and demonstrate an understanding of, the properties of, and the minimum sufficient

       conditions to guarantee congruent triangles

E3   make informal deductions, using congruent triangle and angle properties

E4   demonstrate an understanding of and apply the properties of similar triangles

E5   relate congruence and similarity of triangles

E6   use mapping notation to represent transformations of geometric figures, and intercept such notations

E7   analyse and represent combinations of transformations, using mapping notation

E8   investigate, determine, and apply the effects of various transformations of geometric figures on
       congruence, similarity, and orientation

 

GCO F: Students will solve problems involving the collection, display, and analysis of data.

 

Specific Curriculum Outcomes: Students will be expected to

 

F1   describe characteristics of possible relationships shown in scatter plots

F2   sketch lines of best fit and determine their equations

F3   sketch curves of best fit for relationships that appear to be non-linear

F4   select, defend, and use the most appropriate methods for displaying data

F5   draw inferences and make predictions based on data analysis and data displays

F6   demonstrate an understanding of the role of data management in society

F7   evaluate arguments and interpretations that are based on data analysis

 

GCO G: Students will represent and solve problems involving uncertainty.

 

Specific Curriculum Outcomes: Students will be expected to

 

G1   make predictions of probabilities involving dependent and independent events by designing and
       conducting experiments and simulations

G2   determine 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

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