Chapter 1 Number Sense
1.1
Real Numbers
•Model the set of Real number
•Classify Real Numbers
•Compare Real Numbers
1.2
Operations with Rational Numbers
•Add, Subtract, Multiply, and Divide Real Numbers
•Apply Order of Operations to Real numbers
•Simplify complex fractions
•Simplify final answers
•Problem solving applications
1.3
Applications of Square Roots
•Perfect square roots and related patterns
•Imperfect square roots and decimal approximations
•Techniques for estimating square roots
•Simplifying square roots
•Operations with square roots
•Problem solving applications
1.4
Working with Exponents
•Properties of exponential numbers
•Exponent Laws
•Applications using power form
1.5
Scientific Notation
•Positive and negative powers
•Scientific notation form
•Operations using scientific notation
Chapter 2 Patterns and Relations
2.1 Represent Patterns in a Variety of Formats
•Create tables
•Create graphs
•Interpolate and extrapolate values
•Use algebraic expressions and equations to represent patterns that grow, shrink, and
repeat
•Use words to represent patterns
•Find the nth term of a pattern
•Use patterns to solve problems
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2.2 Interpret Linear and Non-Linear Relationships
•Differentiate between linear and non-linear relations
•Create tables and graphs of linear and non-linear relations
2.3 Discover the Slope of a Line
•Use graphs of linear relations to measure rise and run
•Express rise and run as a ratio
•Relate rise and run to the slope of a linear relation
•Estimate and calculate slope
•Express linear relations using slope-intercept form
2.4 The Equation of a Line
•Create equations of linear relations
•Use slope to determine the direction and steepness of a linear relation
2.5 Graphs of Horizontal and Vertical Lines
•Create and analyse the equations for horizontal and vertical lines
•Given the equation, generate vertical and horizontal lines
Chapter 3 Equations and Inequalities
3.1 Solve Single-Variable Equations
•Use Trial and error, systematic trial and error, cover up, and other intuitive strategies to
solve one and two step single variable equations
•Use manipulative to solve one and two step single variable equations
•Use algebraic manipulation to solve one and two step single variable equations
•Solve multi-step equations
3.2 Represent Sets Graphically and Symbolically
•Use set notation
•Graph sets
•Represent sets using words
•Interrelate words, graphs, and set notation
3.3 Solve Single-Variable Inequalities
•Use models, manipulatives, and intuitive strategies to solve single variable linear inequalities
•Use algebraic manipulation to solve single variable linear inequalities
3.4 Problem Solving with Linear Equations and Inequalities
*solving problems using linear equations and linear inequalities
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Chapter 4 Probability
4.1 Experimental and Theoretical Probability
* Terms used in a probability experiment
*Construct data tables and tree diagrams
* Calculating probability
4.2 Dependent and Independent Events
*explain and compare dependent and independent event
* calculate probability for dependent and independent events
4.3 Solve Problems involving Compound Events
*Explain what a compound event is
*Calculate probability of compound events
4.4 Make Decisions Based on Probability or Judgment
*Apply probability to problem solving situations
Chapter 5 Measurement
5.1 Volume of Three-Dimensional Figures
*Review of previous concepts of 3D solids
*Volume of cones, pyramids, and spheres
*Apply appropriate formulae in problem solving situations
5.2 Surface Area of Three-Dimensional Figures
*Review of previous concepts of 3D solids
*Surface area of cones, pyramids, and spheres
*Apply appropriate formulae in problem solving situations
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5.3 Solve Volume and Surface Area Problems
*Volume and surface area of basic shapes and composite figures
Chapter 6 Geometry
6.1 Create Unique Triangles
*Properties of unique triangles
6.2 Congruent Triangles
* Use properties of unique triangles to prove triangles are congruent
6.3 Similar Triangles
*Properties of similar triangles
*Proving two triangles are similar
6.4 Properties of Transformations
*Translations, rotations, reflections, dilatations
*Representing transformations
6.5 Mapping Notation for Transformations
*Using mapping notation to represent transformations on a coordinate system
* Represent transformations using algebraic notation
6.6 Combinations of Transformations
*Analyse and generate transformations that combine two or more transformations
Chapter 7 Polynomials
7.1 Add and Subtract Polynomials
*Add and subtract polynomial expressions using manipulatives
* Add and subtract polynomial expressions using notation
* Apply distributive property to addition and subtraction of polynomial expressions where
brackets are involved
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7.2 Common Factors
*Factor polynomial expressions
*Using manipulatives to factor polynomial expressions
*Using symbols to factor polynomial expressions
7.3 Multiply a Monomial by a Polynomial
*Using manipulatives to multiply a polynomial by a binomial
*Using symbols to multiply a polynomial by a binomial
*Using symbols
7.4 Multiply Two Binomials
*Using manipulatives to multiply two binomials
*Using symbols to multiply two binomials
*Using symbols to multiply two binomials
7.5 Polynomial Division
*Divide a polynomial by a binomial using manipulatives
*Divide a polynomial by a binomial using symbols
7.6 Apply Algebraic Modelling
*solve problems and evaluate polynomial expressions
Chapter 8 Data Management
8.1 Scatterplots
*construct and analyse scatterplots
*estimate the line of best fit
*estimate the slope of the line of best fit
*calculate the equation of a line of best fir when the relationship is linear
8.2 Assess Data
*analyse data to solve problems and find trends
8.3 Display Data
* Clearly represent data using appropriate methods
8.4 Interpret Data
*Analyse and interpret data displays
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Chapter 9 Geometry II
9.1 Special Lines, segments, and angles in circles
*Perpendicular bisectors of chords in a circle
*Angle bisectors of intersecting tangent lines
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