N: Number

N.1: Demonstrate an understanding of powers with integral bases (excluding base 0) and whole number exponents by:

N.1.a: representing repeated multiplication using powers

Exponents and Power Rules

N.3: Demonstrate an understanding of rational numbers by:

N.3.a: comparing and ordering rational numbers

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

N.3.b: solving problems that involve arithmetic operations on rational numbers.

Estimating Population Size

N.5: Determine the square root of positive rational numbers that are perfect squares.

Square Roots

N.6: Determine an approximate square root of positive rational numbers that are non-perfect squares.

Square Roots

P: Patterns and Relations

P.2: Graph linear relations, analyze the graph and interpolate or extrapolate to solve problems.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exponential Functions
Linear Functions
Point-Slope Form of a Line
Slope-Intercept Form of a Line
Standard Form of a Line

P.3: Model and solve problems using linear equations where a, b, c, d, e and f are rational numbers of the form:

P.3.a: ax = b

Solving Algebraic Equations II
Solving Equations on the Number Line

P.3.b: x/a = b, a does not equal 0

Solving Algebraic Equations II
Solving Equations on the Number Line

P.3.c: ax + b = c

Solving Algebraic Equations II

P.3.d: x/a + b = c, a does not equal 0

Solving Algebraic Equations II

P.3.e: ax = b + cx

Solving Algebraic Equations II

P.3.f: a(x + b) = c

Solving Algebraic Equations II

P.3.g: ax + b = cx + d

Solving Algebraic Equations II

P.3.h: a(bx + c) = d(ex + f)

Solving Algebraic Equations II

P.3.i: a/x = b, x does not equal 0

Solving Algebraic Equations II

P.6: Model, record and explain the operations of addition and subtraction of polynomial expressions, concretely, pictorially and symbolically (limited to polynomials of degree less than or equal to 2).

Addition of Polynomials

S: Shape and Space

S.1: Solve problems and justify the solution strategy using circle properties, including:

S.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

S.1.c: the inscribed angles subtended by the same arc are congruent

Inscribed Angles

S.2: Determine the surface area of composite 3-D objects to solve problems.

Surface and Lateral Areas of Prisms and Cylinders

S.3: Demonstrate an understanding of similarity of polygons.

Similar Figures

S.4: Draw and interpret scale diagrams of 2-D shapes.

Dilations

St: Statistics and Probability

St.1: Describe the effect of:

St.1.c: ethics

Polling: City
Polling: Neighborhood
Populations and Samples

St.1.d: cost

Polling: City
Polling: Neighborhood
Populations and Samples

St.1.f: privacy

Polling: City
Polling: Neighborhood
Populations and Samples

St.1.g: cultural sensitivity on the collection of data.

Polling: City
Polling: Neighborhood

St.2: Select and defend the choice of using either a population or a sample of a population to answer a question.

Populations and Samples

St.3: Develop and implement a project plan for the collection, display and analysis of data by:

St.3.a: formulating a question for investigation

Correlation
Describing Data Using Statistics
Real-Time Histogram

St.3.b: choosing a data collection method that includes social considerations

Polling: City
Polling: Neighborhood

St.3.c: selecting a population or a sample

Polling: City
Polling: Neighborhood
Populations and Samples

St.3.d: collecting the data

Describing Data Using Statistics
Polling: City
Real-Time Histogram

St.3.e: displaying the collected data in an appropriate manner

Correlation
Describing Data Using Statistics
Stem-and-Leaf Plots

St.3.f: drawing conclusions to answer the question.

Polling: City
Real-Time Histogram

St.4: Demonstrate an understanding of the role of probability in society.

Probability Simulations
Theoretical and Experimental Probability