Program of Studies

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

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.

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.

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

3.1.1: 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

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

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

3.3.5: Demonstrate an understanding of line and rotation symmetry.

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.

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.

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

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

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

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

Estimating Population Size

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 9/16/2020

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