Ontario Curriculum

1.1.2: … as they apply the mathematical processes:

A1.MP.2: reasoning and proving: develop and apply reasoning skills (e.g., classification, recognition of relationships, use of counter-examples) to justify thinking, make and investigate conjectures, and construct and defend arguments

Biconditional Statements

Conditional Statements

2.1.1: Rational and Irrational Numbers

B1.1: By the end of each grade, students will: represent and compare very large and very small numbers, including through the use of scientific notation, and describe various ways they are used in everyday life

B1.2: By the end of each grade, students will: describe, compare, and order numbers in the real number system (rational and irrational numbers), separately and in combination, in various contexts

Comparing and Ordering Decimals

Modeling Decimals (Area and Grid Models)

Ordering Percents, Fractions, and Decimals Greater Than 1

Rational Numbers, Opposites, and Absolute Values

B1.3: By the end of each grade, students will: estimate and calculate square roots, in various contexts

Ordering and Approximating Square Roots

Square Roots

2.1.2: Fractions, Decimals, and Percents

B1.4: By the end of each grade, students will: use fractions, decimal numbers, and percents, including percents of more than 100% or less than 1%, interchangeably and flexibly to solve a variety of problems

Fraction, Decimal, Percent (Area and Grid Models)

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

2.2.1: Properties and Relationships

B2.1: By the end of each grade, students will: use the properties and order of operations, and the relationships between operations, to solve problems involving rational numbers, ratios, rates, and percents, including those requiring multiple steps or multiple operations

Adding and Subtracting Integers

Adding on the Number Line

Order of Operations

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Proportions and Common Multipliers

2.2.2: Math Facts

B2.2: By the end of each grade, students will: understand and recall commonly used square numbers and their square roots

Ordering and Approximating Square Roots

Square Roots

2.2.4: Addition and Subtraction

B2.4: By the end of each grade, students will: add and subtract integers, using appropriate strategies, in various contexts

Adding and Subtracting Integers

Adding and Subtracting Integers with Chips

Adding on the Number Line

B2.5: By the end of each grade, students will: add and subtract fractions, using appropriate strategies, in various contexts

Adding Fractions (Fraction Tiles)

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

2.2.5: Multiplication and Division

B2.6: By the end of each grade, students will: multiply and divide fractions by fractions, as well as by whole numbers and mixed numbers, in various contexts

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

B2.8: By the end of each grade, students will: compare proportional situations and determine unknown values in proportional situations, and apply proportional reasoning to solve problems in various contexts

Percent of Change

Percents and Proportions

3.1.1: Patterns

C1.1: By the end of each grade, students will: identify and compare a variety of repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and compare linear growing and shrinking patterns on the basis of their constant rates and initial values

Finding Patterns

Pattern Flip (Patterns)

3.2.1: Variables and Expressions

C2.1: By the end of each grade, students will: add and subtract monomials with a degree of 1, and add binomials with a degree of 1 that involve integers, using tools

Simplifying Algebraic Expressions II

3.2.2: Equalities and Inequalities

C2.3: By the end of each grade, students will: solve equations that involve multiple terms, integers, and decimal numbers in various contexts, and verify solutions

Modeling and Solving Two-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

Solving Two-Step Equations

C2.4: By the end of each grade, students will: solve inequalities that involve integers, and verify and graph the solutions

Exploring Linear Inequalities in One Variable

Solving Linear Inequalities in One Variable

4.1.1: Data Collection and Organization

D1.2: By the end of each grade, students will: collect continuous data to answer questions of interest involving two variables, and organize the data sets as appropriate in a table of values

4.1.2: Data Visualization

D1.3: By the end of each grade, students will: select from among a variety of graphs, including scatter plots, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs

D1.4: By the end of each grade, students will: create an infographic about a data set, representing the data in appropriate ways, including in tables and scatter plots, and incorporating any other relevant information that helps to tell a story about the data

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

4.1.3: Data Analysis

D1.5: By the end of each grade, students will: use mathematical language, including the terms “strong”, “weak”, “none”, “positive”, and “negative”, to describe the relationship between two variables for various data sets with and without outliers

D1.6: By the end of each grade, students will: analyse different sets of data presented in various ways, including in scatter plots and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions

Graphing Skills

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

4.2.1: Probability

D2.1: By the end of each grade, students will: solve various problems that involve probability, using appropriate tools and strategies, including Venn and tree diagrams

Geometric Probability

Lucky Duck (Expected Value)

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

D2.2: By the end of each grade, students will: determine and compare the theoretical and experimental probabilities of multiple independent events happening and of multiple dependent events happening

Independent and Dependent Events

5.1.1: Geometric Reasoning

E1.2: By the end of each grade, students will: make objects and models using appropriate scales, given their top, front, and side views or their perspective views

E1.3: By the end of each grade, students will: use scale drawings to calculate actual lengths and areas, and reproduce scale drawings at different ratios

Perimeters and Areas of Similar Figures

5.1.2: Location and Movement

E1.4: By the end of each grade, students will: describe and perform translations, reflections, rotations, and dilations on a Cartesian plane, and predict the results of these transformations

Dilations

Reflections

Rotations, Reflections, and Translations

Translations

5.2.1: The Metric System

E2.1: By the end of each grade, students will: represent very large (mega, giga, tera) and very small (micro, nano, pico) metric units using models, base ten relationships, and exponential notation

Unit Conversions 2 - Scientific Notation and Significant Digits

5.2.2: Lines and Angles

E2.2: By the end of each grade, students will: solve problems involving angle properties, including the properties of intersecting and parallel lines and of polygons

Classifying Quadrilaterals

Investigating Angle Theorems

Parallelogram Conditions

Special Parallelograms

Triangle Angle Sum

5.2.3: Length, Area, and Volume

E2.3: By the end of each grade, students will: solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas

Area of Triangles

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

E2.4: By the end of each grade, students will: describe the Pythagorean relationship using various geometric models, and apply the theorem to solve problems involving an unknown side length for a given right triangle

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Correlation last revised: 5/18/2021

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