### 1: Number

#### 1.1: Develop number sense.

1.1.1: Demonstrate an understanding of place value, including numbers that are:

1.1.1.b: less than one thousandth.

1.1.2: Solve problems involving whole numbers and decimal numbers.

1.1.3: Demonstrate an understanding of factors and multiples by:

1.1.3.b: identifying prime and composite numbers

1.1.3.c: solving problems using multiples and factors.

1.1.4: Relate improper fractions to mixed numbers and mixed numbers to improper fractions.

1.1.5: Demonstrate an understanding of ratio, concretely, pictorially and symbolically.

1.1.6: Demonstrate an understanding of percent (limited to whole numbers), concretely, pictorially and symbolically.

1.1.8: Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1-digit natural number divisors).

1.1.9: Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).

### 2: Patterns and Relations

#### 2.1: Use patterns to describe the world and to solve problems.

2.1.1: Represent and describe patterns and relationships, using graphs and tables.

2.1.2: Demonstrate an understanding of the relationships within tables of values to solve problems.

#### 2.2: Represent algebraic expressions in multiple ways.

2.2.4: Express a given problem as an equation in which a letter variable is used to represent an unknown number.

2.2.5: Demonstrate and explain the meaning of preservation of equality, concretely and pictorially.

### 3: Shape and Space

#### 3.1: Use direct and indirect measurement to solve problems.

3.1.1: Demonstrate an understanding of angles by:

3.1.1.b: classifying angles according to their measure

3.1.1.d: determining angle measures in degrees

3.1.2: Demonstrate that the sum of interior angles is:

3.1.2.a: 180° in a triangle

3.1.3: Develop and apply a formula for determining the:

3.1.3.a: perimeter of polygons

3.1.3.b: area of rectangles

3.1.3.c: volume of right rectangular prisms.

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

3.2.4: Construct and compare triangles, including:

3.2.4.d: right in different orientations.

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

3.3.6: Perform a combination of translations, rotations and/or reflections on a single 2-D shape, with and without technology, and draw and describe the image.

3.3.7: Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.

3.3.8: Identify and plot points in the first quadrant of a Cartesian plane, using whole number ordered pairs.

3.3.9: Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole number vertices).

### 4: Statistics and Probability

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

4.1.1: Create, label and interpret line graphs to draw conclusions.

4.1.2: Select, justify and use appropriate methods of collecting data, including:

4.1.2.a: questionnaires

4.1.2.b: experiments

4.1.2.c: databases

4.1.2.d: electronic media.

4.1.3: Graph collected data, and analyze the graph to solve problems.

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

4.2.4: Demonstrate an understanding of probability by:

4.2.4.a: identifying all possible outcomes of a probability experiment

4.2.4.b: differentiating between experimental and theoretical probability

4.2.4.c: determining the theoretical probability of outcomes in a probability experiment

4.2.4.d: determining the experimental probability of outcomes in a probability experiment

4.2.4.e: comparing experimental results with the theoretical probability for an experiment.

Correlation last revised: 9/24/2019

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