B: Number

B1: By the end of each grade, students will: demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life

2.1.1: Whole Numbers

B1.1: By the end of each grade, students will: read, represent, compose, and decompose whole numbers up to and including 100 000, using appropriate tools and strategies, and describe various ways they are used in everyday life

Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

2.1.2: Fractions, Decimals, and Percents

B1.3: By the end of each grade, students will: represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using appropriate tools, in various contexts

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

B1.4: By the end of each grade, students will: compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)

B1.5: By the end of each grade, students will: read, represent, compare, and order decimal numbers up to hundredths, in various contexts

Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

B1.7: By the end of each grade, students will: describe relationships and show equivalences among fractions, decimal numbers up to hundredths, and whole number percents, using appropriate tools and drawings, in various contexts

Fraction, Decimal, Percent (Area and Grid Models)

B2: By the end of each grade, students will: use knowledge of numbers and operations to solve mathematical problems encountered in everyday life

2.2.1: Properties and Relationships

B2.1: By the end of each grade, students will: use the properties of operations, and the relationships between operations, to solve problems involving whole numbers and decimal numbers, including those requiring more than one operation, and check calculations

Equivalent Algebraic Expressions I

2.2.2: Math Facts

B2.2: By the end of each grade, students will: recall and demonstrate multiplication facts from 0 × 0 to 12 × 12, and related division facts

Chocomatic (Multiplication, Arrays, and Area)
No Alien Left Behind (Division with Remainders)

2.2.4: Addition and Subtraction

B2.4: By the end of each grade, students will: represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 100 000, and of decimal numbers up to hundredths, using appropriate tools, strategies, and algorithms

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

B2.5: By the end of each grade, students will: add and subtract fractions with like denominators, in various contexts

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

2.2.5: Multiplication and Division

B2.8: By the end of each grade, students will: multiply and divide one-digit whole numbers by unit fractions, using appropriate tools and drawings

Dividing Fractions
Multiplying Fractions

B2.9: By the end of each grade, students will: represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts

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

C: Algebra

C1: By the end of each grade, students will: identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts

3.1.1: Patterns

C1.1: By the end of each grade, students will: identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts

Finding Patterns
Pattern Flip (Patterns)

C1.2: By the end of each grade, students will: create and translate growing and shrinking patterns using various representations, including tables of values and graphs

Finding Patterns
Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

C1.3: By the end of each grade, students will: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns

Finding Patterns
Pattern Flip (Patterns)

C1.4: By the end of each grade, students will: create and describe patterns to illustrate relationships among whole numbers and decimal tenths and hundredths

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

C2: By the end of each grade, students will: demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts

3.2.1: Variables and Expressions

C2.1: By the end of each grade, students will: translate among words, algebraic expressions, and visual representations that describe equivalent relationships

Using Algebraic Expressions

3.2.2: Equalities and Inequalities

C2.3: By the end of each grade, students will: solve equations that involve whole numbers up to 100 in various contexts, and verify solutions

Modeling One-Step Equations

C2.4: By the end of each grade, students will: solve inequalities that involve one operation and whole numbers up to 50, and verify and graph the solutions

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

D: Data

D1: By the end of each grade, students will: manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life

4.1.2: Data Visualization

D1.3: By the end of each grade, students will: select from among a variety of graphs, including stacked-bar graphs, 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

Mascot Election (Pictographs and Bar 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 relative-frequency tables and stacked-bar graphs, and incorporating any other relevant information that helps to tell a story about the data

Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

4.1.3: Data Analysis

D1.5: By the end of each grade, students will: determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers and decimal numbers, and explain what each of these measures indicates about the data

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D1.6: By the end of each grade, students will: analyse different sets of data presented in various ways, including in stacked-bar graphs 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

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

D2: By the end of each grade, students will: describe the likelihood that events will happen, and use that information to make predictions

4.2.1: Probability

D2.1: By the end of each grade, students will: use fractions to express the probability of events happening, represent this probability on a probability line, and use it to make predictions and informed decisions

Spin the Big Wheel! (Probability)

D2.2: By the end of each grade, students will: determine and compare the theoretical and experimental probabilities of an event happening

Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

E: Spatial Sense

E1: By the end of each grade, students will: describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them

5.1.1: Geometric Reasoning

E1.1: By the end of each grade, students will: identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements

Classifying Triangles
Isosceles and Equilateral Triangles

E1.3: By the end of each grade, students will: draw top, front, and side views of objects, and match drawings with objects

3D and Orthographic Views

5.1.2: Location and Movement

E1.4: By the end of each grade, students will: plot and read coordinates in the first quadrant of a Cartesian plane using various scales, and describe the translations that move a point from one coordinate to another

City Tour (Coordinates)
Elevator Operator (Line Graphs)

E1.5: By the end of each grade, students will: describe and perform translations, reflections, and rotations up to 180° on a grid, and predict the results of these transformations

Rotations, Reflections, and Translations

E2: By the end of each grade, students will: compare, estimate, and determine measurements in various contexts

5.2.1: The Metric System

E2.1: By the end of each grade, students will: use appropriate metric units to estimate and measure length, area, mass, and capacity

Cannonball Clowns (Number Line Estimation)

E2.2: By the end of each grade, students will: solve problems that involve converting larger metric units into smaller ones, and describe the base ten relationships among metric units

Cannonball Clowns (Number Line Estimation)

5.2.3: Area

E2.5: By the end of each grade, students will: use the area relationships among rectangles, parallelograms, and triangles to develop the formulas for the area of a parallelogram and the area of a triangle, and solve related problems

Area of Parallelograms
Area of Triangles

E2.6: By the end of each grade, students will: show that two-dimensional shapes with the same area can have different perimeters, and solve related problems

Fido's Flower Bed (Perimeter and Area)