Curriculum Correlation

ONTARIO CURRICULUM[1]

DYNAMIC MATH GRADE 6

Ontario Edition

B1. Number Sense

Demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life.

B1.1 Rational Numbers

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.

1.1 Place Value, pg. 2-10.

1.3 Solving Problems with Large Numbers, pg. 14-16.

B1.2 Rational Numbers

Read and represent integers, using a variety of tools and strategies, including horizontal and vertical number lines.

1.8 Integers, pg. 39-44.

B1.3 Rational Numbers

Compare and order integers, decimal numbers, and fractions, separately and in combination, in various contexts.

1.7 Ordering and Comparing Fractions and Decimals, pg. 25-38.

1.8 Integers, pg. 39-44.

B1.4 Fractions, Decimals, and Percents

Read, represent, compare, and order decimal numbers up to thousandths, in various contexts.

1.7 Ordering and Comparing Fractions and Decimals, pg. 25-38.

B1.5 Fractions, Decimals, and Percents

Round decimal numbers, both terminating and repeating, to the nearest tenth, hundredth, or whole number, as applicable, in various contexts.

1.2 Rounding Numbers, pg. 11-13.

1.7 Ordering and Comparing Fractions and Decimals, pg. 25-38.

B1.6 Fractions, Decimals, and Percents

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

1.2 Rounding Numbers, pg. 11-13.

1.6 Improper Fractions and Mixed Numbers, pg. 29-34.

1.7 Ordering and Comparing Fractions and Decimals, pg. 25-38.

B2. Operations

Use knowledge of numbers and operations to solve mathematical problems encountered in everyday life.

B2.2 Properties and Relationships

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.

2.1 Multiplication and Division Facts and Strategies, pg. 58-68.

B2.2 Math Facts

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

1.4 Factors and Multiples, pg. 17-25.

1.5 Greatest Common Factor and Least Common Multiple, pg. 25-28.

2.10 Order of Operations, pg. 106-109.

B2.3 Mental Math

Use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%, and explain the strategies used.

2.8 Percent, pg. 97-101.

2.9 Mental Math Strategies: Percentages, pg. 102-105.

B2.4 Addition and Subtraction

Represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms.

2.4 Adding and Subtracting Decimals, pg. 77-80.

B2.5 Addition and Subtraction

Add and subtract fractions with like and unlike denominators, using appropriate tools, in various contexts.

2.2 Addition and Subtraction of Fractions, pg. 69-74.

B2.6 Multiplication and Division

Represent composite numbers as a product of their prime factors, including through the use of factor trees.

1.4 Factors and Multiples, pg. 17-25.

B2.7 Multiplication and Division

Represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths, using algorithms.

2.5 Multiplying and Dividing Decimals, pg. 81-89.

B2.8 Multiplication and Division

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.

2.6 Problem Solving with Decimals, pg. 90-92.

B2.9 Multiplication and Division

Multiply whole numbers by proper fractions, using appropriate tools and strategies.

2.3 Multiplication and Division of Proper Fractions with Whole Numbers, pg. 75-76.

B2.10 Multiplication and Division

Divide whole numbers by proper fractions, using appropriate tools and strategies.

2.3 Multiplication and Division of Proper Fractions with Whole Numbers, pg. 75-76.

B2.11 Multiplication and Division

Represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10, using appropriate tools and strategies.

2.5 Multiplying and Dividing Decimals, pg. 81-89.

2.6 Problem Solving with Decimals, pg. 90-92.

B2.12 Multiplication and Division

Solve problems involving ratios, including percents and rates, using appropriate tools and strategies.

2.7 Ratios, pg. 93-96.

C. Algebra

C1. Patterns and Relationships

Identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts.

C1.1 Patterns

Identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts, and specify which growing patterns are linear.

4.1 Number and Symbol Patterns, pg. 140-143.

C1.2 Patterns

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.

4.2 Growth in Patterns, pg. 144-145.

C1.3 Patterns

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.

4.3 Relationships with Tables of Values, pg. 146-148.

4.4 Patterns in Tables and Graphs, pg. 149-153.

C1.4

Create and describe patterns to illustrate relationships among whole numbers and decimal numbers.

4.5 Rules to Describe Relations and Predict Patterns, pg. 154-157.

C2. Equations and Inequalities

Demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts.

C2.1 Variables and Expressions

Add monomials with a degree of 1 that involve whole numbers, using tools.

5.1 Placeholders and Variables, 168-173.

C2.2 Variables and Expressions

Evaluate algebraic expressions that involve whole numbers and decimal tenths.

5.2 Simplifying and Evaluating Expressions, pg. 174-145.

C2.3 Equalities and Inequalities

Solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions.

5.3 Representing Generalizations, pg. 176-181.

5.4 Preserving Equality, pg. 182-186.

C2.4 Equalities and Inequalities

Solve inequalities that involve two operations and whole numbers up to 100, and verify and graph the solutions.

5.5 Inequalities, pg. 187-189.

C3. Coding

Solve problems and create computational representations of mathematical situations using coding concepts and skills.

C3.1 Coding Skills

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.

10.1 The Structure of Coding, pg. 344-348.

C3.2 Coding Skills

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.

10.2 Control Structures, pg. 349-354.

10.3 Writing Code in Scratch, ph. 354.

C4. Mathematical Modelling

Apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations.

This overall expectation has no specific expectations. Mathematical modelling is an iterative and interconnected process that is applied to various contexts, allowing students to bring in learning from other strands. Students’ demonstration of the process of mathematical modelling, as they apply concepts and skills learned in other strands, is assessed and evaluated.

D1. Data Literacy

Manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life.

D1.1 Data Collection and Organization

Describe the difference between discrete and continuous data, and provide examples of each.

8.1 Collecting Data, pg. 292-299.

D1.2 Data Collection and Organization

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.  

8.1 Collecting Data, pg. 292-299.

D1.3 Data Visualization

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.

8.2 Displaying, Graphing, and Interpreting Data, pg. 299-304.

D1.4 Data Visualization

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.

8.2 Displaying, Graphing, and Interpreting Data, pg. 299-304.

D1.5 Data Analysis

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.

8.3 Mean, Median, and Mode, pg. 305-307.

D1.6 Data Analysis

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.

8.4 Possible Outcomes and Experimental Probability, pg. 308-311.

8.5 Theoretical Probability, pg. 312-315.

D2. Probability

Describe the likelihood that events will happen, and use that information to make predictions.

D2.1 Probability

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.

8.4 Possible Outcomes and Experimental Probability, pg. 308-311.

8.5 Theoretical Probability, pg. 312-315.

D2.2 Probability

Determine and compare the theoretical and experimental probabilities of two independent events happening.

8.4 Possible Outcomes and Experimental Probability, pg. 308-311.

8.5 Theoretical Probability, pg. 312-315.

E1. Geometric and Spatial Reasoning

Describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them.

E1.1 Geometric Reasoning

Create lists of the geometric properties of various types of quadrilaterals, including the properties of the diagonals, rotational symmetry, and line symmetry.

7.1 Interior Angles in Triangles and Quadrilaterals, pg. 246-250.

7.2 Types of Triangles, pg. 251-254.

7.4 Regular and Irregular Polygons, pg. 259-262.

7.5 Congruent Polygons, pg. 263-265.

7.7 Transformations with 2-D Shapes, pg. 270-272.

E1.2 Geometric Reasoning

Construct three-dimensional objects when given their top, front, and side views.

7.6 3-D Solids, pg. 266-269.

E1.3 Location and Movement

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.

7.8 Plotting Points and Transformations, pg. 273-280.

E1.4 Location and Movement

Describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results of these transformations.

7.8 Plotting Points and Transformations, pg. 273-280.

E2. Measurement

Compare, estimate, and determine measurements in various contexts.

E2.1 The Metric System

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.

6.1 Units of Length, pg. 200-205.

6.8 Capacity, pg231-233.

E2.2 Angles

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 counter clockwise.

6.2 Types of Angles, pg. 206-210.

6.4 Measuring and Drawing Angles, pg. 214-216.

E2.3 Angles

Use the properties of supplementary angles, complementary angles, opposite angles, and interior and exterior angles to solve for unknown angle measures.

6.3 Complementary and Supplementary Angles, pg. 211-213.

7.3 Sorting and Drawing Triangles, pg. 255-258.

E2.4 Area and Surface Area

Determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas.

6.5 Perimeter of Polygons, pg. 217-220.

6.6 Area of Polygons, pg. 221-227.

E2.5 Area and Surface Area

Create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas.

6.7 Surface Area, pg. 228-230.

E2.6 Area and Surface Area

Determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together.

6.6 Area of Polygons, pg. 221-227.

F1. Money and Finances

Demonstrate the knowledge and skills needed to make informed financial decisions.

F1.1 Money Concepts

Describe the advantages and disadvantages of various methods of payment that can be used to purchase goods and services.

3.1 Money Calculations and Change, pg. 121-124.

F1.2 Financial Management

Identify different types of financial goals, including earning and saving goals, and outline some key steps in achieving them.

3.2 Financial Planning and Goals, pg. 125-129.

F1.3 Financial Management

Identify and describe various factors that may help or interfere with reaching financial goals.

3.2 Financial Planning and Goals, pg. 125-129.

F1.4 Consumer and Civic Awareness

Explain the concept of interest rates, and identify types of interest rates and fees associated with different accounts and loans offered by various banks and other financial institutions.

3.3 Percent Applications and Discounts, pg. 130-133.

F1.5 Consumer and Civic Awareness

Describe trading, lending, borrowing, and donating as different ways to distribute financial and other resources among individuals and organizations.

3.3 Percent Applications and Discounts, pg. 130-133.