Curriculum Correlation

ONTARIO CURRICULUM[1]

DYNAMIC MATH GRADE 5

Ontario Edition

B1. Number Sense

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

B1.1 Whole Numbers

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.

1.1 Representing and Describing Whole Numbers, pg. 2-10.

B1.2 Whole Numbers

Compare and order whole numbers up to and including 100 000, in various contexts.

1.2 Comparing and Ordering Numbers, pg. 11-14.

1.3 Rounding and Estimation, pg. 15-20.

B1.3 Fractions, Decimals, and Percents

Represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using appropriate tools, in various contexts.

3.1 Comparing Fractions, pg. 76-80.

3.2 Equivalent Fractions, pg. 81-84.

B1.4 Fractions, Decimals, and Percents

Compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts.

3.2 Equivalent Fractions, pg. 81-84.

B1.5 Fractions, Decimals, and Percents

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

3.4 Relating Decimals and Fractions, pg. 92-96. 

B1.6 Fractions, Decimals, and Percents

Round decimal numbers to the nearest tenth, in various contexts.

3.3 Understanding and Rounding Decimals, pg. 85-91. 

B1.7 Fractions, Decimals, and Percents

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

3.6 Decimals and Percents, pg. 104-106.

B2. Operations

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

B1.2 Properties and Relationships

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.

2.1 Adding and Subtracting Whole Numbers, pg. 28-34.

2.2 Mental Mathematics for Multiplying, pg. 35-42.

2.3 Multiplying Numbers, pg. 43-47.

2.4 Dividing Numbers, pg. 48-59.

B2.2 Math Facts

Recall and demonstrate multiplication facts from 0 × 0 to 12 × 12, and related division facts.

2.2 Mental Mathematics for Multiplying, pg. 35-42.

B2.3 Mental Math

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.

3.2 Equivalent Fractions, pg. 81-84.

B2.4 Addition and Subtraction

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.

2.1 Adding and Subtracting Whole Numbers, pg. 28-34.

B2.5 Addition and Subtraction

Add and subtract fractions with like denominators, in various contexts.

3.4 Relating Decimals and Fractions, pg. 92-96. 

3.5 Addition and Subtraction of Decimals, pg. 97-103.

B2.6 Multiplication and Division

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.

2.3 Multiplying Numbers, pg. 43-47.

B2.7 Multiplication and Division

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.

2.4 Dividing Numbers, pg. 48-59.

B2.8 Multiplication and Division

Multiply and divide one-digit whole numbers by unit fractions, using appropriate tools and drawings.

6.3 Variables and Equations, pg. 170-174.

B2.9 Multiplication and Division

Represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts.

2.5 Communicating with Ratios, pg. 60-63.

2.6 Rates, pg. 64-66.

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.

5.1 Pattern Rules and Descriptions, pg. 143-147.

C1.2 Patterns

Create and translate growing and shrinking patterns using various representations, including tables of values and graphs.

5.2 Representing Patterns, pg. 148-153.

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.

5.1 Pattern Rules and Descriptions, pg. 143-147.

5.2 Representing Patterns, pg. 148-153.

C1.4 Patterns

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

5.1 Pattern Rules and Descriptions, pg. 143-147.

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

Translate among words, algebraic expressions, and visual representations that describe equivalent relationships.

6.1 Mathematical Sentences and Placeholders, pg. 164-166.

6.2 Mathematical and Word Sentences, pg. 167-169.

6.5 Solving Word Problems, pg. 178-183.

C2.2 Variables and Expressions

Evaluate algebraic expressions that involve whole numbers.

6.3 Variables and Equations, pg. 170-174.

C2.3 Equalities and Inequalities

Solve equations that involve whole numbers up to 100 in various contexts, and verify solutions.

6.3 Variables and Equations, pg. 170-174.

C2.4 Equalities and Inequalities

Solve inequalities that involve one operation and whole numbers up to 50, and verify and graph the solutions.

6.4 Inequalities, pg. 175-177.

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 code, including code that involves conditional statements and other control structures.

11.4 Conditional Statements, pg. 329-334.

11.3 Code Blocks, pg. 325-328.

11.5 Writing Code in Scratch, pg. 335.

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.

11.1 The Structure of Coding, pg. 317-319.

11.2 Simplifying the Code, pg. 320-324.

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 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

Explain the importance of various sampling techniques for collecting a sample of data that is representative of a population.

9.1 Samples and Populations, pg. 257-258.

D1.2 Data Collection and Organization

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

9.2 Grouping and Interpreting Data, pg. 259-264.

D1.3 Data Visualization

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.

9.3 Displaying Data and a Review of Bar Graphs, pg. 265-273.

D1.4 Data Visualization

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.

9.4 Double Bar Graphs, pg. 274-279.

D1.5 Data Analysis

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.

9.2 Grouping and Interpreting Data, pg. 259-264.

D1.6 Data Analysis

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.

9.3 Displaying Data and a Review of Bar Graphs, pg. 265-273.

9.4 Double Bar Graphs, pg. 274-279.

D2. Probability

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

D2.1 Probability

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.

9.5 Probability of an Event, pg. 280-286.

D2.2 Probability

Determine and compare the theoretical and experimental probabilities of an event happening.

9.5 Probability of an Event, pg. 280-286.

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

Identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements.

7.3 Measuring Angles and Constructing Triangles, pg. 211-215.

E1.2 Geometric Reasoning

Identify and construct congruent triangles, rectangles, and parallelograms.

7.3 Measuring Angles and Constructing Triangles, pg. 211-215.

7.2 Drawing Rectangles, pg. 195-204.

8.1 Characteristics of 2-Dimensional Shapes, pg. 231.

E1.2 Geometric Reasoning

Draw top, front, and side views of objects, and match drawings with objects.

8.2 Characteristics of 3-Dimensional Objects, pg. 237-239.

E1.4 Location and Movement

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.

8.3 Plotting Points in the First Quadrant, pg. 240-244.

E1.5 Location and Movement

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

8.4 Transformations of 2-D Shapes, pg. 245-248.

E2. Measurement

Compare, estimate, and determine measurements in various contexts.

E2.1 The Metric System

Use appropriate metric units to estimate and measure length, area, mass, and capacity.

7.4 Units of Length, pg. 216-221.

E2.2 The Metric System

Solve problems that involve converting larger metric units into smaller ones, and describe the base ten relationships among metric units.

7.4 Units of Length, pg. 216-221.

E2.3 Angles

Compare angles and determine their relative size by matching them and by measuring them using appropriate non-standard units.

7.3 Measuring Angles and Constructing Triangles, pg. 211-215.

E2.4 Angles

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.

7.3 Measuring Angles and Constructing Triangles, pg. 211-215.

E2.5 Area

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.

7.1 Area and Perimeter, pg. 195-204.

E2.6 Area

Show that two-dimensional shapes with the same area can have different perimeters, and solve related problems.

7.2 Drawing Rectangles, pg. 195-204.

F. Financial Literacy     

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

F1.1 Money Concepts

Describe several ways money can be transferred among individuals, organizations, and businesses.

4.1 Our Money System, pg. 121-124.

F1.2 Money Concepts

Estimate and calculate the cost of transactions involving multiple items priced in dollars and cents, including sales tax, using various strategies.

4.2 Calculating with Money, pg. 125-128.

4.3 What Are Taxes, pg. 129-131.

F1.3 Financial Management

Design sample basic budgets to manage finances for various earning and spending scenarios.

4.4 Financial Planning, pg. 132-135.

F1.4 Financial Management

Explain the concepts of credit and debt, and describe how financial decisions may be impacted by each.

4.1 Our Money System, pg. 121-124.

4.4 Financial Planning, pg. 132-135.

F1.5 Consumer and Civic Awareness

Calculate unit rates for various goods and services, and identify which rates offer the best value.

4.2 Calculating with Money, pg. 125-128.

F1.6 Consumer and Civic Awareness

Describe the types of taxes that are collected by the different levels of government in Canada, and explain how tax revenue is used to provide services in the community.

4.3 What Are Taxes, pg. 129-131.