1: Number

1.1: Develop number sense.

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

1.1.1.a: representing repeated multiplication, using powers

Exponents and Power Rules

1.1.3: Demonstrate an understanding of rational numbers by:

1.1.3.a: comparing and ordering rational numbers

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values

1.1.3.b: solving problems that involve arithmetic operations on rational numbers.

Estimating Population Size
Fractions with Unlike Denominators

1.1.5: Determine the square root of positive rational numbers that are perfect squares.

Simplifying Radical Expressions
Square Roots

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

Square Roots

2: Patterns and Relations

2.2: Represent algebraic expressions in multiple ways.

2.2.3: Model and solve problems, using linear equations of the form:

2.2.3.a: ax = b where a, b, c, d, e and f are rational numbers.

Solving Algebraic Equations II
Solving Equations on the Number Line

2.2.3.b: x/a = b, a ≠ 0 where a, b, c, d, e and f are rational numbers.

Solving Algebraic Equations II
Solving Equations on the Number Line

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

Solving Algebraic Equations II
Solving Two-Step Equations

2.2.3.d: x/a + = b, a ≠ 0 where a, b, c, d, e and f are rational numbers.

Solving Algebraic Equations II
Solving Two-Step Equations

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

Solving Algebraic Equations II

2.2.3.i: a/x = b, x ≠ 0 where a, b, c, d, e and f are rational numbers.

Solving Algebraic Equations II
Solving Equations on the Number Line

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

Compound Inequalities

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

Dividing Polynomials Using Synthetic Division

2.2.7: 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.

Dividing Polynomials Using Synthetic Division

3: Shape and Space

3.1: Use direct and indirect measurement to solve problems.

3.1.1: Solve problems and justify the solution strategy, using the following circle properties:

3.1.1.b: the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

Chords and Arcs
Inscribed Angles

3.1.1.c: the inscribed angles subtended by the same arc are congruent

Inscribed Angles

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

3.2.2: Determine the surface area of composite 3-D objects to solve problems.

Surface and Lateral Areas of Prisms and Cylinders

3.2.3: Demonstrate an understanding of similarity of polygons.

Similar Figures
Similarity in Right Triangles

3.3: Describe and analyze position and motion of objects and shapes.

3.3.4: Draw and interpret scale diagrams of 2-D shapes.

Dilations

3.3.5: Demonstrate an understanding of line and rotation symmetry.

Holiday Snowflake Designer

4: Statistics and Probability

4.1: Collect, display and analyze data to solve problems.

4.1.1: Describe the effect of:

4.1.1.c: ethics on the collection of data.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.1.d: cost on the collection of data.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.1.e: time and timing on the collection of data.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.1.f: privacy on the collection of data.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.1.g: cultural sensitivity on the collection of data.

Stem-and-Leaf Plots

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

4.1.3.a: formulating a question for investigation

Correlation
Describing Data Using Statistics
Real-Time Histogram
Stem-and-Leaf Plots

4.1.3.b: choosing a data collection method that includes social considerations

Box-and-Whisker Plots
Describing Data Using Statistics

4.1.3.c: selecting a population or a sample

Polling: City
Polling: Neighborhood

4.1.3.d: collecting the data

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.3.e: displaying the collected data in an appropriate manner

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Polling: City
Real-Time Histogram
Stem-and-Leaf Plots

4.1.3.f: drawing conclusions to answer the question.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Stem-and-Leaf Plots

4.2: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

4.2.4: Demonstrate an understanding of the role of probability in society.

Estimating Population Size
Probability Simulations
Theoretical and Experimental Probability