1.1 Line Symmetry

After this section, you will be able to:

• classify 2-D shapes or designs according to the number of lines of symmetry
• identify the line(s) of symmetry for a 2-D shape or design
• complete a shape or design given one half of the shape and a line of symmetry
• create a design that demonstrates line symmetry

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Lessons

1.2 Rotation Symmetry and Transformations

After this section, you will be able to:

• tell if 2-D shapes and designs have rotation symmetry
• give the order of rotation and angle of rotation for various shapes
• create designs with rotation symmetry
• identify the transformations in shapes and designs involving line or rotation symmetry

1.3 Surface Area

After this section, you will be able to:

• determine the area of overlap in composite 3-D objects
• find the surface area for composite 3-D objects
• create designs with rotation symmetry
• solve problems involving surface area

2.1 Comparing and Ordering Rational Numbers

After this section, you will be able to:

• compare and order rational numbers
• identify a rational number between two given rational numbers

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Lessons

2.2 Problem Solving with Rational Numbers in Decimal Form

After this section, you will be able to:

• perform operations on rational numbers in decimal form
• solve problems involving rational numbers in decimal form

2.3 Problem Solving with Rational Numbers in Fraction Form

After this section, you will be able to:

• perform operations on rational numbers in fraction form
• solve problems involving rational numbers in fraction form

2.4 Determining Square Roots of Rational Numbers

After this section, you will be able to:

• determine the square root of a perfect square rational number
• determine an approximate square root of a non-perfect square rational number

3.1 Using Exponents to Describe Numbers

After this section, you will be able to:

• represent repeated multiplication with exponents
• describe how powers represent repeated multiplication

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Lessons

3.2 Exponent Laws

After this section, you will be able to:

• explain the exponent laws for
  • product of powers
  • quotient of powers
  • power of a power
  • power of a product
  • power of a quotient

3.3 Order of Operations

After this section, you will be able to:

• use the order of operations on expressions with powers
• apply the laws of exponents

3.4 Using Exponents to Solve Problems

After this section, you will be able to:

• solve problems that require combining powers
• use powers to solve problems that involve repeated multiplication

4.1 Enlargements and Reductions

After this section, you will be able to:

• identify enlargements and reductions, and interpret the scale factor
• draw enlargements and reductions to scale

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Lessons

4.2 Scale Diagrams

After this section, you will be able to:

• identify scale diagrams and interpret the scale factor
• determine the scale factor for scale diagrams
• determine if a given diagram is proportional to the original shape

4.3 Similar Triangles

After this section, you will be able to:

• determine similar triangles
• determine if diagrams are proportional
• solve problems using the properties of similar triangles

4.4 Similar Polygons

After this section, you will be able to:

• identify similar polygons and explain why they are similar
• draw similar polygons
• solve problems using the properties of similar polygons

5.1 The Language of Mathematics

After this section, you will be able to:

• use mathematical terminology to describe polynomials
• create a model for a given polynomial expression

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Lessons

5.2 Equivalent Expressions

After this section, you will be able to:

• use algebra tiles and diagrams to show whether expressions are equivalent
• identify equivalent expressions that are polynomials
• combine like terms in algebraic expressions

5.3 Adding and Subtracting Polynomials

After this section, you will be able to:

• add polynomial expressions
• determine if diagrams are proportional
• subtract polynomial expressions
• solve problems using the addition and subtraction of polynomials

6.1 Representing Patterns

After this section, you will be able to:

• represent pictorial, oral, and written patterns with linear equations
• describe contexts for given linear equations
• solve problems that involve pictorial, oral, and written patterns using a linear equation
• verify linear equations by substituting values

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Lessons

6.2 Interpreting Graphs

After this section, you will be able to:

• describe patterns found in graphs
• extend graphs to determine an unknown value
• estimate values between known values on a graph
• estimate values beyond known values on a graph

6.3 Graphing Linear Equations

After this section, you will be able to:

• graph linear relations
• match equations of linear relations with graphs
• solve problems by graphing a linear relation and analysing the graph

7.1 Multplying and Dividing Monomials

After this section, you will be able to:

• multiply a monomial by a monomial
• divide a monomial by a monomial

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Lessons

7.2 Multiplying Polynomials by Monomials

After this section, you will be able to:

• multiply a polynomial by a monomial

7.3 Dividing Polynomials by Monomials

After this section, you will be able to:

• divide a polynomial by a monomial

8.1 Solving Equations: ax=b x/a = b,a/x = b

After this section, you will be able to:

• model problems with linear equations that can be solved using multiplication and division
• solve linear equations with rational numbers using multiplication and division

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Lessons

8.2 Solving Equations: ax + b = c, x/a + b = c

After this section, you will be able to:

• model problems with linear equations involving two operations
• solve linear equations with rational numbers using two operations

8.3 Solving Equations: a(x +b) = c

After this section, you will be able to:

• model problems with linear equations that include grouping symbols on one side
• solve linear equations that include grouping symbols on one side

8.4 Solving Equations: ax = b + cx, ax +b = cx + d, a(bx + c) = d(ex + f)

After this section, you will be able to:

• model problems with linear equations that include variables on both sides
• solve linear equations that include variables on both sides

9.1 Representing Inequalities

After this section, you will be able to:

• represent single variable linear inequalities verbally, algebraically, and graphically
• determine if a given number is a possible solution of a linear inequality

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Lessons

9.2 Solving Single-Step Inequalities

After this section, you will be able to:

• solve single-step linear inequalities and verify solutions
• compare the processes for solving linear equations and linear inequalities
• compare the solutions of linear equations and linear inequalities
• solve problems involving single-step linear inequalities

9.3 Solving Multi Step Inequalities

After this section, you will be able to:

• solve multi-step linear inequalities and verify their solutions
• compare the processes for solving linear equations and linear inequalities
• solve problems involving multi-step linear inequalities

10.1 Exploring Angles in a Circle

After this section, you will be able to:

• describe a relationship between inscribed angles in a circle
• relate the inscribed angle and central angle subtended by the same arc

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Lessons

10.2 Exploring Chord Properties

After this section, you will be able to:

• describe the relationship among the centre of a circle, a chord, and the perpendicular bisector of the chord

10.3 Tangents to a Circle

After this section, you will be able to:

• relate tangent lines to the radius of the circle.

11.1 Factors Affecting Data Collection

After this section, you will be able to:

• identify how bias, use of language, ethics, cost, time and timing, privacy, and cultural sensitivity may influence the collection of data
• write and analyse appropriate survey questions

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Lessons

11.2 Collecting Data

After this section, you will be able to:

• identify the difference between a population and a sample
• identify different types of samples
• justify using a population or a sample for given situations
• determine whether results from a sample can be applied to a population

11.3 Probability in Society

After this section, you will be able to:

• identify and explain assumptions linked to probabilities
• explain decisions based on probabilities

11.4 Developing and Implementing a Project Plan

After this section, you will be able to:

• develop a research project plan
• complete a research project according to a plan, draw conclusions, and communicate findings
• self-assess a research project by applying a rubric