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# Ontario

### Skills available for Ontario Grade 5 Math Curriculum (2020)

Expectations are in black and skills are in blue. Click on the name of the skill to practice that skill.

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### 5.B Number

#### 5.B1 Number Sense

##### Whole Numbers

##### 5.B1.1 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

##### Digital Resources

##### Printable Worksheets

• Building Numbers in the Place Value Chart

• Decomposing Numbers up to 100 000

• Fill in the Place Value Chart

• Match the Number up to 100 000

##### 5.B1.2 compare and order whole numbers up to and including 100 000, in various contexts

##### Digital Resources

• Compare Numbers Using a Place Value Chart

• Compare Numbers that Have the Same Units

• Compare Numbers that Have Related Units

• Order Numbers From Least to Greatest Using Place Value

• Order Numbers From Greatest to Least Using Place Value

• Order Numbers From Least to Greatest Using a Number Line

• Order Numbers From Greatest to Least Using a Number Line

##### Printable Worksheets

##### Fractions, Decimals, and Percents

##### 5.B1.3 represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using appropriate tools, in various contexts

##### Digital Resources

##### Printable Worksheets

• Exploring Equivalent Fractions

##### 5.B1.4 compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts

##### Digital Resources

##### Printable Worksheets

• Compare Fractions Using a Number Line

• Comparing Fractions with Unlike Denominators

##### 5.B1.5 read, represent, compare, and order decimal numbers up to hundredths, in various contexts

##### Digital Resources

##### Printable Worksheets

• Read and Represent Decimals to Hundredths

• Matching Decimals to Their Written Forms

##### 5.B1.6 round decimal numbers to the nearest tenth, in various contexts

##### Digital Resources

##### Printable Worksheets

• Rounding Decimals to the Nearest Tenth

##### 5.B1.7 describe relationships and show equivalences among fractions, decimal numbers up to hundredths, and whole number percents, using appropriate tools and drawings, in various contexts

#### 5.B2 Operations

##### Properties and Relationships

##### 5.B2.1 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

##### Math Facts

##### 5.B2.2 recall and demonstrate multiplication facts from 0 × 0 to 12 × 12, and related division facts

##### Digital Resources

• Multiplication Fact Practice

##### Printable Worksheets

• Multiplication Facts for 1,2,3

• Math Riddle Multiplication Facts for 3,4,5

• Math Riddle Multiplication Facts for 4,5,6

• Math Riddle Multiplication Facts for 7,8,9

• Math Riddle Facts for 1 to 12

##### Mental Math

##### 5.B2.3 use mental math strategies to multiply whole numbers by 0.1 and 0.01 and estimate sums and differences of decimal numbers up to hundredths, and explain the strategies used

##### Addition and Subtraction

##### 5.B2.4 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

##### Digital Resources

##### Printable Worksheets

• Add and Subtract by Making an Easier Problem

• Practice Regrouping Ones as Tens

• Two-Digit Addition with Regrouping

• Two-Digit Addition Without Regrouping – Set 1

• Two-Digit Addition Without Regrouping – Set 2

• Math Riddle – Two-Digit Addition Without Regrouping

• Math Riddle – Two-Digit Addition with Regrouping

• Three-Digit Addition With Regrouping

• Three-Digit Addition Without Regrouping

• Math Riddle: Three-Digit Addition With Regrouping

• Math Riddle: Three-Digit Addition Without Regrouping

• Two-Digit Subtraction with Regrouping

• Two-Digit Subtraction Without Regrouping – Set 1

• Two-Digit Subtraction Without Regrouping – Set 2

• Taking Apart to Make Tens for Subtraction

• Subtract by Making an Easier Problem

• Math Riddle: Two-Digit Subtraction with Regrouping

• Math Riddle: Two-Digit Subtraction Without Regrouping

• Three-Digit Subtraction with Regrouping

• Three-Digit Subtraction Without Regrouping

• Math Riddle: Three-Digit Subtraction Without Regrouping

##### 5.B2.5 add and subtract fractions with like denominators, in various contexts

##### Digital Resources

##### Printable Worksheets

##### Multiplication and Divsion

##### 5.B2.6 represent and solve problems involving the multiplication of two-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods

##### Digital Resources

##### Printable Worksheets

• Multiplying Two-Digit Numbers by Two-Digit Numbers

• Multiplying Multi-Digit Numbers by One-Digit Numbers

• Math Riddle: Multiply Two-Digit Numbers by One-Digit Numbers

##### 5.B2.7 represent and solve problems involving the division of three-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods, while expressing any remainder appropriately

##### Digital Resources

##### Printable Worksheets

• Dividing Multi-Digit Numbers by One-Digit Numbers

##### 5.B2.8 multiply and divide one-digit whole numbers by unit fractions, using appropriate tools and drawings

##### Digital Resources

##### Printable Worksheets

##### 5.B2.9 represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts

### 5.C Algebra

#### 5.C1 Patterns and Relationships

##### Patterns

##### 5.C1.1 identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts

##### 5.C1.2 create and translate growing and shrinking patterns using various representations, including tables of values and graphs

##### 5.C1.3 determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing, and shrinking patterns

##### 5.C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths and hundredths

##### Digital Resources

##### Printable Worksheets

#### 5.C2 Equations and Inequalities

##### Variables and Expressions

##### 5.C2.1 translate among words, algebraic expressions, and visual representations that describe equivalent relationships

##### Digital Resources

• Translate Equivalent Relationships

##### Printable Worksheets

• Algebraic Expressions with Addition

• Writing Algebraic Expressions with Addition

• Algebraic Expressions with Subtraction

• Writing Algebraic Expressions with Subtraction

• Algebraic Expressions with Multiplication

• Writing Algebraic Expressions with Multiplication

##### 5.C2.2 evaluate algebraic expressions that involve whole numbers

##### Digital Resources

##### Printable Worksheets

##### Equalities and Inequalities

##### 5.C2.3 solve equations that involve whole numbers up to 100 in various contexts, and verify solutions

##### Digital Resources

• Algebraic Equations with Multiple Operations

##### Printable Worksheets

• How to Solve Algebraic Equations

• Verify the Answer for Algebraic Equations

• Solving Algebraic Equation Word Problems

• Think About It – Expressions and Equations

##### Equalities and Inequalities

##### 5.C2.4 solve inequalities that involve one operation and whole numbers up to 50, and verify and graph the solutions

##### Digital Resources

• Finding Inequality Solutions

##### Printable Worksheets

• Activity 1 – What is an Inequality?

• Activity 2 – Graphing an Inequality

• Activity 3 – Solving an Inequality

• Activity 4 – Verify an Inequality Answer

#### 5.C3 Coding

##### Coding Skills

##### 5.C3.1 solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves conditional statements and other control structures

##### 5.C3.2 read and alter existing code, including code that involves conditional statements and other control structures, and describe how changes to the code affect the outcomes

### 5.D Data

#### 5.D1 Data Literacy

##### Data Collection and Organization

##### 5.D1.1 explain the importance of various sampling techniques for collecting a sample of data that is representative of a population

##### 5.D1.2 collect data, using appropriate sampling techniques as needed, to answer questions of interest about a population, and organize the data in relative-frequency tables

##### Data Visualization

##### 5.D1.3 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

##### 5.D1.4 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

##### Digital Resources

##### Printable Worksheets

• Constructing A Double Bar Graph – Set 1

• Constructing A Double Bar Graph – Set 2

• Constructing Horizontal Bar Graphs – Set 1

• Constructing Horizontal Bar Graphs – Set 2

##### Data Analysis

##### 5.D1.5 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

##### Digital Resources

##### Printable Worksheets

##### 5.D1.6 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

##### Digital Resources

##### Printable Worksheets

• Reading Double Bar Graphs – Set 1

• Reading Double Bar Graphs – Set 2

• Reading Double Bar Graphs – Set 3

• Thinking About Misleading Graphs

• Reading Horizontal Graphs – Set 1

• Reading Horizontal Graphs – Set 2

• Reading Tally Charts – Set 1

• Reading Tally Charts – Set 2

• Reading Circle Graphs – Set 1

• Reading Circle Graphs – Set 2

• Reading Circle Graphs – Set 3

• Reading Circle Graphs – Set 4

• Reading Circle Graphs – Set 5

• TEST: Reading Circle Graphs – Set 1

#### 5.D2 Probability

##### Probability

##### 5.D2.1 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

##### Digital Resources

##### Printable Worksheets

• Activity 1 – Showing Probability as a Fraction

• Activity 2 – Finding Probability

• Activity 3 – Exploring Probability Tree Diagrams

##### 5.D2.2 determine and compare the theoretical and experimental probabilities of an event happening

### 5.E Spatial Sense

#### 5.E1 Geometric and Spatial Reasoning

##### Geometric Reasoning

##### 5.E1.1 identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements

##### Digital Resources

• Identify the Properties of Triangles

##### Printable Worksheets

• Properties of Triangles – Sides

• Classifying Triangles Using Side Lengths

• Drawing Triangles Using Side Lengths

• Properties of Triangles – Interior Angles

• Classifying Triangles – Interior Angles

• Identify Properties of Triangles

• Identify Triangles Using Sides and Angles

##### 5.E1.2 identify and construct congruent triangles, rectangles, and parallelograms

##### Digital Resources

##### Printable Worksheets

• Congruent Figures with Side Lengths

• Identifying Congruent Figures

• Constructing Congruent Figures – Grid Paper

• Drawing Congruent Figures on Dot Paper

• Congruent Figures and Translations

• Congruent Figures – Problem Solving

##### 5.E1.3 draw top, front, and side views of objects, and match drawings with objects

##### Digital Resources

• Top, Side, and Front Views of Objects

##### Printable Worksheets

##### Location and Movement

##### 5.E1.4 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

##### Digital Resources

##### Printable Worksheets

##### 5.E1.5 describe and perform translations, reflections, and rotations up to 180° on a grid, and predict the results of these transformations

#### 5.E2 Measurement

##### The Metric System

##### 5.E2.1 use appropriate metric units to estimate and measure length, area, mass, and capacity

##### 5.E2.2 solve problems that involve converting larger metric units into smaller ones, and describe the base ten relationships among metric units

##### Digital Resources

##### Printable Worksheets

##### Angles

##### 5.E2.3 compare angles and determine their relative size by matching them and by measuring them using appropriate non-standard units

##### Digital Resources

##### Printable Worksheets

##### 5.E2.4 explain how protractors work, use them to measure and construct angles up to 180°, and use benchmark angles to estimate the size of other angles

##### Digital Resources

##### Printable Worksheets

• How to Use a Protractor to Measure an Angle

##### Area

##### 5.E2.5 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

##### Digital Resources

• Area of Rectangles and Squares

##### Printable Worksheets

• The Area Formulas of Polygons

• Finding the Area of a Square or Rectangle