### 1: Numeration

#### 1.6N: Number

1.6N1: Demonstrate an understanding of place value, including numbers that are:

1.6N1.a: greater than one million

1.6N1.b: less than one thousandth.

1.6N2: Solve problems involving large whole numbers and decimal numbers.

1.6N2.2: Estimate the solution to, and solve, a given problem.

### 2: Number Relationships

#### 2.6N: Number

2.6N3: Demonstrate an understanding of factors and multiples by:

2.6N3.b: identifying prime and composite numbers

2.6N3.c: solving problems using multiples and factors.

2.6N3.1: Determine all the whole number factors of a given number, using arrays.

2.6N3.2: Identify the factors for a given number, and explain the strategy used; e.g., concrete or visual representations, repeated division by prime numbers, factor trees.

2.6N3.3: Solve a given problem involving factors or multiples.

2.6N3.4: Identify multiples for a given number, and explain the strategy used to identify them.

2.6N3.5: Provide an example of a prime number, and explain why it is a prime number.

2.6N3.6: Provide an example of a composite number, and explain why it is a composite number.

2.6N3.7: Sort a given set of numbers as prime and composite.

2.6N3.8: Explain why 0 and 1 are neither prime nor composite.

2.6N7: Demonstrate an understanding of integers, concretely, pictorially and symbolically.

2.6N7.2: Describe contexts in which integers are used; e.g., on a thermometer.

2.6N7.3: Place given integers on a number line, and explain how integers are ordered.

2.6N7.4: Order given integers in ascending or descending order.

2.6N7.5: Compare two integers; represent their relationship using the symbols <, > and =; and verify the relationship, using a number line.

2.6N9: Explain and apply the order of operations, excluding exponents, with and without technology (limited to whole numbers).

2.6N9.1: Explain, using examples, why there is a need to have a standardized order of operations.

2.6N9.2: Apply the order of operations to solve multistep problems with and without technology; e.g., a computer, a calculator.

### 3: Patterns in Mathematics

#### 3.6PR: Patterns and Relations (Patterns)

3.6PR1: Demonstrate an understanding of the relationships within tables of values to solve problems.

3.6PR1.1: Create a concrete or pictorial representation of the relationship shown in a table of values.

3.6PR1.2: Describe the pattern within each column of a given table of values.

3.6PR1.3: State, using mathematical language, the relationship in a given table of values.

3.6PR1.5: Formulate a rule to describe the relationship between two columns of numbers in a table of values.

3.6PR1.6: Generate values in one column of a table of values, given values in the other column and a pattern rule.

3.6PR1.7: Create a table of values to record and reveal a pattern to solve a given problem.

3.6PR1.8: Identify missing elements in a given table of values.

3.6PR3: Represent generalizations arising from number relationships, using equations with letter variables.

3.6PR3.1: Describe the relationship in a given table, using a mathematical expression.

3.6PR3.2: Represent a pattern rule, using a simple mathematical expression such as 4d or 2n + 1.

3.6PR4: Demonstrate and explain the meaning of preservation of equality, concretely and pictorially.

3.6PR4.5: Write equivalent forms of a given equation by applying the preservation of equality and verify using concrete materials, e.g., 3b = 12 is same as 3b + 5 = 12 + 5 or 2r = 7 is the same as 3(2r) = 3(7).

### 4: Data Relationships

#### 4.6SP: Statistics and Probability (Data Analysis)

4.6SP1: Create, label and interpret line graphs to draw conclusions.

4.6SP1.1: Determine the common attributes (title, axes and intervals) of line graphs by comparing a given set of line graphs.

4.6SP1.3: Create a line graph from a given table of values or a given set of data.

4.6SP1.4: Interpret a given line graph to draw conclusions.

4.6SP3: Graph collected data, and analyze the graph to solve problems.

4.6SP3.1: Determine an appropriate type of graph for displaying a set of collected data, and justify the choice of graph.

4.6SP3.2: Solve a given problem by graphing data and interpreting the resulting graph.

4.6SP2: Select, justify and use appropriate methods of collecting data, including:

4.6SP2.a: questionnaires

4.6SP2.b: experiments

4.6SP2.c: databases

4.6SP2.d: electronic media.

4.6SP2.3: Gather data for a given question by using electronic media, including selecting data from databases.

4.6SP2.5: Select a method for collecting data to answer a given question, and justify the choice.

#### 4.6PR: Patterns and Relations (Patterns)

4.6PR2: Represent and describe patterns and relationships, using graphs and tables.

4.6PR2.1: Create a table of values from a given pattern or a given graph.

4.6PR2.2: Translate a pattern to a table of values, and graph the table of values (limited to linear graphs with discrete elements).

4.6PR2.3: Describe, using everyday language, orally or in writing, the relationship shown on a graph.

#### 4.6SS: Shape and Space (Transformations)

4.6SS8: Identify and plot points in the first quadrant of a Cartesian plane, using whole number ordered pairs.

4.6SS8.1: Label the axes of the first quadrant of a Cartesian plane, and identify the origin.

4.6SS8.2: Plot a point in the first quadrant of a Cartesian plane, given its ordered pair.

4.6SS8.3: Match points in the first quadrant of a Cartesian plane with their corresponding ordered pair.

4.6SS8.4: Plot points in the first quadrant of a Cartesian plane with intervals of 1, 2, 5 or 10 on its axes, given whole number ordered pairs.

4.6SS8.5: Draw shapes or designs, given ordered pairs, in the first quadrant of a Cartesian plane.

4.6SS8.6: Draw shapes or designs in the first quadrant of a Cartesian plane, and identify the points used to produce them.

### 5: Motion Geometry

#### 5.6SS: Shape and Space (Transformations)

5.6SS6: 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.

5.6SS6.1: Model a given set of successive translations, successive rotations or successive reflections of a 2-D shape.

5.6SS6.3: Describe the transformations performed on a 2-D shape to produce a given image.

5.6SS6.4: Demonstrate that a 2-D shape and its transformation image are congruent.

5.6SS6.5: Model a given combination of two different types of transformations of a 2-D shape.

5.6SS6.7: Perform and record one or more transformations of a 2-D shape that will result in a given image.

5.6SS7: Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.

5.6SS7.1: Analyze a given design created by transforming one or more 2-D shapes, and identify the original shape(s) and the transformations used to create the design.

5.6SS7.2: Create a design using one or more 2-D shapes, and describe the transformations used.

5.6SS9: Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole number vertices).

5.6SS9.1: Identify the coordinates of the vertices of a given 2-D shape (limited to the first quadrant of a Cartesian plane).

### 6: Ratio and Percent

#### 6.6N: Number

6.6N5: Demonstrate an understanding of ratio, concretely, pictorially and symbolically.

6.6N5.1: Write a ratio from a given concrete or pictorial representation.

6.6N5.2: Express a given ratio in multiple forms, such as 3:5, or 3 to 5.

6.6N5.4: Provide a concrete or pictorial representation for a given ratio.

6.6N5.5: Identify and describe ratios from real-life contexts, and record them symbolically.

6.6N5.6: Demonstrate an understanding of equivalent ratios.

6.6N5.7: Solve a given problem involving ratio.

6.6N6: Demonstrate an understanding of percent (limited to whole numbers), concretely, pictorially and symbolically.

6.6N6.1: Explain that “percent” means “out of 100.”

6.6N6.2: Explain that percent is a ratio out of 100.

6.6N6.3: Use concrete materials and pictorial representations to illustrate a given percent.

6.6N6.4: Record the percent displayed in a given concrete or pictorial representation.

6.6N6.5: Identify and describe percents from real-life contexts, and record them symbolically.

6.6N6.6: Express a given percent as a fraction and a decimal.

6.6N6.7: Solve a given problem involving percents.

### 7: Fractions

#### 7.6N: Number

7.6N4: Relate improper fractions to mixed numbers.

7.6N4.1: Demonstrate, using models, that a given improper fraction represents a number greater than 1.

7.6N4.2: Translate a given improper fraction between concrete, pictorial and symbolic forms.

7.6N4.3: Express improper fractions as mixed numbers.

7.6N4.4: Translate a given mixed number between concrete, pictorial and symbolic forms.

7.6N4.5: Express mixed numbers as improper fractions.

7.6N4.6: Place a given set of fractions, including mixed numbers and improper fractions, on a number line, and explain strategies used to determine position.

### 8: Multiplication and Division of Decimals

#### 8.6N: Number

8.6N8: Demonstrate an understanding of multiplication and division of decimals (1-digit whole number multipliers and 1- digit natural number divisors).

8.6N8.1: Predict products and quotients of decimals, using estimation strategies.

8.6N8.2: Solve a given problem that involves multiplication and division of decimals using multipliers from 0 to 9 and divisors from 1 to 9.

8.6N8.4: Correct errors of decimal point placement in a given product or quotient without using paper and pencil.

### 9: Measurement

#### 9.6SS: Shape and Space (Measurement)

9.6SS1: Demonstrate an understanding of angles by:

9.6SS1.b: classifying angles according to their measure

9.6SS1.d: determining angle measures in degrees

9.6SS1.2: Classify a given set of angles according to their measure; e.g., acute, right, obtuse, straight, reflex.

9.6SS2: Demonstrate that the sum of interior angles is:

9.6SS2.a: 180° in a triangle

9.6SS2.1: Explain, using models, that the sum of the interior angles of a triangle is the same for all triangles.

9.6SS3: Develop and apply a formula for determining the:

9.6SS3.a: perimeter of polygons

9.6SS3.b: area of rectangles

9.6SS3.c: volume of right rectangular prisms.

9.6SS3.1: Explain, using models, how the perimeter of any polygon can be determined.

9.6SS3.2: Generalize a rule (formula) for determining the perimeter of polygons, including rectangles and squares.

9.6SS3.3: Solve a given problem involving the perimeter of polygons, the area of rectangles and/or the volume of right rectangular prisms.

9.6SS3.4: Explain, using models, how the area of any rectangle can be determined.

9.6SS3.5: Generalize a rule (formula) for determining the area of rectangles.

9.6SS3.6: Explain, using models, how the volume of any right rectangular prism can be determined.

9.6SS3.7: Generalize a rule (formula) for determining the volume of right rectangular prisms.

#### 9.6PR: Patterns and Relations (Variables and Equations)

9.6PR3: Represent generalizations arising from number relationships, using equations with letter variables.

9.6PR3.3: Write and explain the formula for finding the perimeter of any given rectangle.

9.6PR3.4: Develop and justify equations using letter variables that illustrate the commutative property of addition and multiplication; e.g., a + b = b + a or a × b = b × a.

9.6PR3.5: Write and explain the formula for finding the area of any given rectangle.

### 10: 2-D Geometry

#### 10.6SS: Shape and Space (3-D Objects and 2-D Shapes)

10.6SS4: Construct and compare triangles, including:

10.6SS4.d: right

10.6SS4.1: Identify the characteristics of a given set of triangles according to their sides and/or their interior angles.

10.6SS4.2: Sort a given set of triangles and explain the sorting rule.

10.6SS4.3: Draw a specified triangle, e.g., scalene.

### 11: Probability

#### 11.6SP: Statistics and Probability (Chance and Uncertainty)

11.6SP4: Demonstrate an understanding of probability by:

11.6SP4.a: identifying all possible outcomes of a probability experiment

11.6SP4.b: differentiating between experimental and theoretical probability

11.6SP4.c: determining the theoretical probability of outcomes in a probability experiment

11.6SP4.d: determining the experimental probability of outcomes in a probability experiment

11.6SP4.e: comparing experimental results with the theoretical probability for an experiment.

11.6SP4.1: List the possible outcomes of a probability experiment, such as:

11.6SP4.1.a: tossing a coin

11.6SP4.1.b: rolling a die with a given number of sides

11.6SP4.1.c: spinning a spinner with a given number of sectors.

11.6SP4.2: Determine the theoretical probability of an outcome occurring for a given probability experiment.

11.6SP4.3: Predict the probability of a given outcome occurring for a given probability experiment by using theoretical probability.

11.6SP4.4: Distinguish between theoretical probability and experimental probability, and explain the differences.

11.6SP4.5: Conduct a probability experiment, with or without technology, and compare the experimental results with the theoretical probability.

11.6SP4.6: Explain that as the number of trials in a probability experiment increases, the experimental probability approaches theoretical probability of a particular outcome.

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.