### 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

1.1.3: Demonstrate an understanding of rational numbers by:

1.1.3.a: comparing and ordering rational numbers

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

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

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

### 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.

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

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

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

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

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

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).

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.

### 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

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

#### 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.

3.2.3: Demonstrate an understanding of similarity of polygons.

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

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

3.3.5: Demonstrate an understanding of line and rotation symmetry.

### 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.

4.1.1.d: cost on the collection of data.

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

4.1.1.f: privacy on the collection of data.

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

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

4.1.3.c: selecting a population or a sample

4.1.3.d: collecting the data

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

4.1.3.f: drawing conclusions to answer the question.

#### 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.

Correlation last revised: 9/16/2020

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