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