1: Numeration

1.6N: Number

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

1.6N1.a: greater than one million

Number Systems

1.6N1.b: less than one thousandth.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals
Treasure Hunter (Decimals on the Number Line)

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

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

Estimating Population Size
Estimating Sums and Differences

2: Number Relationships

2.6N: Number

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

2.6N3.b: identifying prime and composite numbers

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Operations with Radical Expressions

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

Chocomatic (Multiplication, Arrays, and Area)

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.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Operations with Radical Expressions

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models
Operations with Radical Expressions

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

Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

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.

Integers, Opposites, and Absolute Values

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

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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.

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.

Order of Operations

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.

Function Machines 1 (Functions and Tables)

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

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences

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

Function Machines 1 (Functions and Tables)
Geometric Sequences

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

Function Machines 1 (Functions and Tables)
Geometric Sequences

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

Function Machines 1 (Functions and Tables)
Geometric Sequences

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

Function Machines 1 (Functions and Tables)

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

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences

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.

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

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

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

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).

Solving Algebraic Equations II

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.

Graphing Skills

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

Graphing Skills

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

Graphing Skills

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.

Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

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

Graphing Skills

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

4.6SP2.a: questionnaires

Describing Data Using Statistics
Polling: City
Polling: Neighborhood
Reaction Time 2 (Graphs and Statistics)

4.6SP2.b: experiments

Describing Data Using Statistics
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Time Estimation

4.6SP2.c: databases

Describing Data Using Statistics
Polling: City
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

4.6SP2.d: electronic media.

Describing Data Using Statistics
Reaction Time 2 (Graphs and Statistics)

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

Describing Data Using Statistics
Reaction Time 2 (Graphs and Statistics)

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

Reaction Time 2 (Graphs and Statistics)

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.

Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Points, Lines, and Equations

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

Function Machines 2 (Functions, Tables, and Graphs)
Geometric Sequences
Introduction to Functions
Points, Lines, and Equations

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

Arithmetic Sequences
Geometric Sequences

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.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

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

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

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

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

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.

Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

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

Points in the Coordinate Plane

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

Points in the Coordinate Plane

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.

Holiday Snowflake Designer
Rock Art (Transformations)
Rotations, Reflections, and Translations

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

Circles
Rock Art (Transformations)
Rotations, Reflections, and Translations

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

Rock Art (Transformations)
Rotations, Reflections, and Translations

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

Rock Art (Transformations)

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

Circles
Rock Art (Transformations)
Rotations, Reflections, and Translations

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.

Circles
Rock Art (Transformations)
Rotations, Reflections, and Translations

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

Circles
Rock Art (Transformations)
Rotations, Reflections, and Translations

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).

Points in the Coordinate 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.

Beam to Moon (Ratios and Proportions) - Metric
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

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

Beam to Moon (Ratios and Proportions) - Metric
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

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

Beam to Moon (Ratios and Proportions) - Metric
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers

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

Beam to Moon (Ratios and Proportions) - Metric
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

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

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

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

Beam to Moon (Ratios and Proportions) - Metric
Estimating Population Size
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

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.”

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

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

Beam to Moon (Ratios and Proportions) - Metric
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

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

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

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

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals

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

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram

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

Percents, Fractions, and Decimals

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

Percent of Change
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

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.

Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers

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

Dividing Mixed Numbers
Improper Fractions and Mixed Numbers

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

Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers

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

Dividing Mixed Numbers
Improper Fractions and Mixed Numbers

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

Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers

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.

Fractions Greater than One (Fraction Tiles)

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.

Multiplying Decimals (Area Model)
Square Roots

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.

Multiplying Decimals (Area Model)

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

Multiplying Decimals (Area Model)
Square Roots

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

Triangle Angle Sum

9.6SS1.d: determining angle measures in degrees

Triangle Angle Sum

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

Triangle Angle Sum

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

9.6SS2.a: 180° in a triangle

Isosceles and Equilateral Triangles
Polygon Angle Sum
Triangle Angle Sum

9.6SS2.b: 360° in a quadrilateral.

Polygon Angle Sum

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

Isosceles and Equilateral Triangles
Triangle Angle Sum

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

9.6SS3.a: perimeter of polygons

Perimeter and Area of Rectangles

9.6SS3.b: area of rectangles

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

9.6SS3.c: volume of right rectangular prisms.

Balancing Blocks (Volume)
Prisms and Cylinders

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

Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

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

Perimeter and Area of Rectangles

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

Area of Parallelograms
Area of Triangles
Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
Prisms and Cylinders

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

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

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

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles

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

Balancing Blocks (Volume)
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

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

Balancing Blocks (Volume)
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

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.

Perimeter and Area of Rectangles

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.

Addition of Polynomials
Equivalent Algebraic Expressions I
Using Algebraic Expressions

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

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles

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

Pythagorean Theorem with a Geoboard
Similarity in Right Triangles

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

Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Pythagorean Theorem with a Geoboard
Triangle Inequalities

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

Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Pythagorean Theorem with a Geoboard
Triangle Inequalities

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

Pythagorean Theorem with a Geoboard

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

11.6SP4.b: differentiating between experimental and theoretical probability

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

11.6SP4.1.a: tossing a coin

Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

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

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental 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.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

Correlation last revised: 9/24/2019

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