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 1000, using a variety of 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

B1.3: By the end of each grade, students will: round whole numbers to the nearest ten or hundred, in various contexts

Rounding Whole Numbers (Number Line)

B1.5: By the end of each grade, students will: use place value when describing and representing multi-digit numbers in a variety of ways, including with base ten materials

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

2.1.2: Fractions

B1.7: By the end of each grade, students will: represent and solve fair-share problems that focus on determining and using equivalent fractions, including problems that involve halves, fourths, and eighths; thirds and sixths; and fifths and tenths

Toy Factory (Set Models of Fractions)

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 multiplication and division, to solve problems and check calculations

Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)

2.2.2: Math Facts

B2.2: By the end of each grade, students will: recall and demonstrate multiplication facts of 2, 5, and 10, and related division facts

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

2.2.3: Mental Math

B2.3: By the end of each grade, students will: use mental math strategies, including estimation, to add and subtract whole numbers that add up to no more than 1000, and explain the strategies used

Number Line Frog Hop (Addition and Subtraction)

2.2.4: Addition and Subtraction

B2.4: By the end of each grade, students will: demonstrate an understanding of algorithms for adding and subtracting whole numbers by making connections to and describing the way other tools and strategies are used to add and subtract

Cargo Captain (Multi-digit Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

B2.5: 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 1000, using various tools 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)

2.2.5: Multiplication and Division

B2.6: By the end of each grade, students will: represent multiplication of numbers up to 10 × 10 and division up to 100 ÷ 10, using a variety of tools and drawings, including arrays

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

B2.7: By the end of each grade, students will: represent and solve problems involving multiplication and division, including problems that involve groups of one half, one fourth, and one third, using tools and drawings

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

B2.8: By the end of each grade, students will: represent the connection between the numerator of a fraction and the repeated addition of the unit fraction with the same denominator using various tools and drawings, and standard fractional notation

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

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 elements and operations in a variety of 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 patterns that have repeating elements, movements, or operations using various representations, including shapes, numbers, and tables of values

Finding Patterns
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 patterns that have repeating elements, movements, or operations

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 up to 1000

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

3.2.2: Equalities and Inequalities

C2.2: By the end of each grade, students will: determine whether given sets of addition, subtraction, multiplication, and division expressions are equivalent or not

Equivalent Algebraic Expressions I

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

4.1.1: Data Collection and Organization

D1.2: By the end of each grade, students will: collect data through observations, experiments, and interviews to answer questions of interest that focus on qualitative and quantitative data, and organize the data using frequency tables

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

4.1.2: Data Visualization

D1.3: By the end of each grade, students will: display sets of data, using many-to-one correspondence, in pictographs and bar graphs with proper sources, titles, and labels, and appropriate scales

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

4.1.3: Data Analysis

D1.4: By the end of each grade, students will: determine the mean and identify the mode(s), if any, for various data sets involving whole 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)

D1.5: By the end of each grade, students will: analyse different data sets presented in various ways, including in frequency tables and in graphs with different scales, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions

Reaction Time 1 (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 mathematical language, including the terms “impossible”, “unlikely”, “equally likely”, “likely”, and “certain”, to describe the likelihood of events happening, and use that likelihood to make predictions and informed decisions

Spin the Big Wheel! (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

5.1.2: Location and Movement

E1.4: By the end of each grade, students will: give and follow multistep instructions involving movement from one location to another, including distances and half- and quarter-turns

Rock Art (Transformations)

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

5.2.1: Length, Mass, and Capacity

E2.1: By the end of each grade, students will: use appropriate units of length to estimate, measure, and compare the perimeters of polygons and curved shapes, and construct polygons with a given perimeter

Fido's Flower Bed (Perimeter and Area)

E2.2: By the end of each grade, students will: explain the relationships between millimetres, centimetres, metres, and kilometres as metric units of length, and use benchmarks for these units to estimate lengths

Cannonball Clowns (Number Line Estimation)

5.2.2: Time

E2.6: By the end of each grade, students will: use analog and digital clocks and timers to tell time in hours, minutes, and seconds

Elapsed Time

5.2.3: Area

E2.7: By the end of each grade, students will: compare the areas of two-dimensional shapes by matching, covering, or decomposing and recomposing the shapes, and demonstrate that different shapes can have the same area

Fido's Flower Bed (Perimeter and Area)