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# Ontario

### Skills available for Ontario Grade 6 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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### 6.B Number

#### 6.B1 Number Sense

##### Rational Numbers

##### 6.B1.1 read and represent whole numbers up to and including one million, using appropriate tools and strategies, and describe various ways they are used in everyday life

##### Digital Resources

• Representing Numbers to 1 000 000

##### Printable Worksheets

• Building Numbers in the Place Value Chart

• Decomposing Numbers to 1 000 000

• Fill in the Place Value Chart

• Marking Number Lines to 1 000 000

• Reading Numbers to 1 000 000

##### 6.B1.2 read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines

##### Digital Resources

##### Printable Worksheets

• Exploring Positive and Negative Integers

##### 6.B1.3 compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts

##### Digital Resources

##### Printable Worksheets

• Comparing and Ordering Numbers

##### Fractions, Decimals, and Percents

##### 6.B1.4 read, represent, compare, and order decimal numbers up to thousandths, in various contexts

##### Digital Resources

• Reading and Representing Decimals

##### Printable Worksheets

• Reading and Representing Decimals

• Matching Decimals to Their Written Form

• Comparing Decimals Using Models

##### 6.B1.5 round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts

##### 6.B1.6 describe relationships and show equivalences among fractions and decimal numbers up to thousandths, using appropriate tools and drawings, in various contexts

##### Digital Resources

• Reading and Writing Decimal Thousandths

• Decimal Thousandths on a Grid

##### Printable Worksheets

#### 6.B2 Operations

##### Properties and Relationships

##### 6.B2.1 use the properties of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and whole number percents, including those requiring multiple steps or multiple operations

##### Math Facts

##### 6.B2.2 understand the divisibility rules and use them to determine whether numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and 10

##### Mental Math

##### 6.B2.3 use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used

##### Addition and Subtraction

##### 6.B2.4 represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms

##### Digital Resources

##### Printable Worksheets

• Three-Digit Addition With Regrouping

• Three-Digit Addition Without Regrouping

• Math Riddle: Three-Digit Addition With Regrouping

• Math Riddle: Three-Digit Addition Without Regrouping

• Three-Digit Subtraction with Regrouping

• Three-Digit Subtraction Without Regrouping

• Math Riddle: Three-Digit Subtraction Without Regrouping

##### 6.B2.5 add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts

##### Digital Resources

##### Printable Worksheets

##### Multiplication and Division

##### 6.B2.6 represent composite numbers as a product of their prime factors, including through the use of factor trees

##### Digital Resources

• Identifying Prime and Composite Numbers

##### Printable Worksheets

• Identifying Prime and Composite Numbers

• Finding the Greatest Common Factor

• Exploring Prime Factorization

##### 6.B2.7 represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms

##### 6.B2.8 represent and solve problems involving the division of three-digit whole numbers by decimal tenths, using appropriate tools, strategies, and algorithms, and expressing remainders as appropriate

##### 6.B2.9 multiply whole numbers by proper fractions, using appropriate tools and strategies

##### Digital Resources

##### Printable Worksheets

##### 6.B2.10 divide whole numbers by proper fractions, using appropriate tools and strategies

##### Digital Resources

##### Printable Worksheets

##### 6.B2.11 represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies

##### Digital Resources

##### Printable Worksheets

##### 6.B2.12 solve problems involving ratios, including percents and rates, using appropriate tools and strategies

##### Digital Resources

##### Printable Worksheets

### 6.C Algebra

#### 6.C1 Patterns and Relationships

##### Patterns

##### 6.C1.1 identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and specify which growing patterns are linear

##### Digital Resources

##### Printable Worksheets

##### 6.C1.2 create and translate repeating, growing, and shrinking patterns using various representations, including tables of values, graphs, and, for linear growing patterns, algebraic expressions and equations

##### Digital Resources

##### Printable Worksheets

##### 6.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, and use algebraic representations of the pattern rules to solve for unknown values in linear growing patterns

##### Digital Resources

##### Printable Worksheets

##### 6.C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal numbers

##### Digital Resources

##### Printable Worksheets

#### 6.C2 Equations and Inequalities

##### Variables and Expressions

##### 6.C2.1 add monomials with a degree of 1 that involve whole numbers, using tools

##### 6.C2.2 evaluate algebraic expressions that involve whole numbers and decimal tenths

##### Equalities and Inequalities

##### 6.C2.3 solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions

##### Digital Resources

##### Printable Worksheets

• Algebraic Equations with Variables on Both Sides

##### 6.C2.4 solve inequalities that involve two operations and whole numbers up to 100, and verify and graph the solutions

##### Digital Resources

##### Printable Worksheets

#### 3.C3 Coding

##### Coding Skills

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

##### 6.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 and the efficiency of the code

### 6.D Data

#### 6.D1 Data Literacy

##### Data Collection and Organization

##### 6.D1.1 describe the difference between discrete and continuous data, and provide examples of each

##### Digital Resources

##### Printable Worksheets

##### 6.D1.2 collect qualitative data and discrete and continuous quantitative data to answer questions of interest about a population, and organize the sets of data as appropriate, including using intervals

##### Data Visualization

##### 6.D1.3 select from among a variety of graphs, including histograms and broken-line 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

##### 6.D1.4 create an infographic about a data set, representing the data in appropriate ways, including in tables, histograms, and broken-line 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

##### 6.D1.5 determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets

##### Digital Resources

##### Printable Worksheets

##### 6.D1.6 analyse different sets of data presented in various ways, including in histograms and broken-line 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

#### 6.D2 Probability

##### Probability

##### 6.D2.1 use fractions, decimals, and percents to express the probability of events happening, represent this probability on a probability line, and use it to make predictions and informed decisions

##### 6.D2.2 determine and compare the theoretical and experimental probabilities of two independent events happening

### 6.E Spatial Sense

#### 6.E1 Geometric and Spatial Reasoning

##### Geometric Reasoning

##### 6.E1.1 create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry

##### Digital Resources

• Properties of Quadrilaterals

##### Printable Worksheets

• Identify Properties of Quadrilaterals

• Matching Properties to Quadrilaterals

##### 6.E1.2 construct three-dimensional objects when given their top, front, and side views

##### Location and Movement

##### 6.E1.3 plot and read coordinates in all four quadrants of a Cartesian plane, and describe the translations that move a point from one coordinate to another

##### Digital Resources

##### Printable Worksheets

##### 6.E1.4 describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations

##### Digital Resources

##### Printable Worksheets

#### 6.E2 Measurement

##### The Metric System

##### 6.E2.1 measure length, area, mass, and capacity using the appropriate metric units, and solve problems that require converting smaller units to larger ones and vice versa

##### Digital Resources

##### Printable Worksheets

##### Angles

##### 6.E2.2 use a protractor to measure and construct angles up to 360°, and state the relationship between angles that are measured clockwise and those that are measured counterclockwise

##### 6.E2.3 use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures

##### Digital Resources

• Interior Angles of Triangles

• Interior Angles of Quadrilaterals

##### Printable Worksheets

• Interior Angles of Triangles

##### Area and Surface Area

##### 6.E2.4 determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas

##### Digital Resources

##### Printable Worksheets

• Area of Rectangles and Squares

• Finding the Area of a Trapezoid

• Finding the Area of a Rhombus

• Decomposing Composite Shapes – Set 1

• Decomposing Composite Shapes – Set 2

##### 6.E2.5 create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas

##### Digital Resources

##### Printable Worksheets

• Identifying Prisms and Pyramids

##### 6.E2.6 determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together

##### Digital Resources

##### Printable Worksheets

• Finding the Surface Area of Prisms

• Thinking About – Surface Area