Curriculum Correlation

ONTARIO CURRICULUM[1]

DYNAMIC MATH GRADE 4

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 10 000, 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 10 000, in various contexts.

1.2 Comparing and Ordering Numbers, pg. 11-17.

B1.3 Whole Numbers

Round whole numbers to the nearest ten, hundred, or thousand, in various contexts.

2.3 Rounding Numbers, pg. 44-48.

B.4 Fractions and Decimals

Represent fractions from halves to tenths using drawings, tools, and standard fractional notation, and explain the meanings of the denominator and the numerator.

3.1 Fractions (As part of a whole | Fractions on the Number Line), pg. 83-87.

3.2 Decimals and Relations with Fractions, pg. 88-92.

B1.5 Fractions and Decimals

Use drawings and models to represent, compare, and order fractions representing the individual portions that result from two different fair-share scenarios involving any combination of 2, 3, 4, 5, 6, 8, and 10 sharers.

3.1 Fractions (As part of a whole | Fractions on the Number Line), pg. 83-87.

3.2 Decimals and Relations with Fractions, pg. 88-92.

B1.6 Fractions and Decimals

Count to 10 by halves, thirds, fourths, fifths, sixths, eighths, and tenths, with and without the use of tools.

3.1 Fractions (As part of a whole | Fractions on the Number Line), pg. 83-87.

B1.7 Fractions and Decimals

Read, represent, compare, and order decimal tenths, in various contexts.

3.2 Decimals and Relations with Fractions, pg. 88-92.

B1.8 Fractions and Decimals

Round decimal numbers to the nearest whole number, in various contexts.

3.2 Decimals and Relations with Fractions, pg. 88-92.

B1.9 Fractions and Decimals

Describe relationships and show equivalences among fractions and decimal tenths, in various contexts.

3.2 Decimals and Relations with Fractions, pg. 88-92.

B2 Operations

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

B2.1 Properties and Relationships

Use the properties of operations, and the relationships between addition, subtraction, multiplication, and division, to solve problems involving whole numbers, including those requiring more than one operation, and check calculations.

2.1 Adding and Subtracting Whole Numbers, pg. 28-30.

B2.2 Math Facts

Recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts.

2.2 Special Properties of 0 and 1 for Multiplication and Division, pg. 40-43.

2.5 Multiplying Whole Numbers, pg. 52-59.

B2.3 Mental Math

Recall and demonstrate multiplication facts for 1 × 1 to 10 × 10, and related division facts.

2.6 Multiplication Using Different Methods, pg. 60.

2.7 Dividing Whole Numbers, pg. 65-66.  

B2.4 Addition and Subtraction

Represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 10 000 and of decimal tenths, using appropriate tools and strategies, including algorithms.

2.1 Adding and Subtracting Whole Numbers, pg. 28-39.

2.4 Mental Mathematics, pg. 49-51.

3.3 Addition and Subtraction of Decimals, pg. 93-95.

B2.5 Multiplication and Division

Represent and solve problems involving the multiplication of two-or three-digit whole numbers by one-digit whole numbers and by 10, 100, and 1000, using appropriate tools, including arrays.

2.5 Multiplying Whole Numbers, pg. 52-59.

2.6 Multiplication Using Different Methods, pg. 60-64.

B2.6 Multiplication and Division

Represent and solve problems involving the division of two-or three-digit whole numbers by one-digit whole numbers, expressing any remainder as a fraction when appropriate, using appropriate tools, including arrays.

2.7 Dividing Whole Numbers, pg. 65-72.

B2.7 Multiplication and Division

Represent the relationship between the repeated addition of a unit fraction and the multiplication of that unit fraction by a whole number, using tools, drawings, and standard fractional notation.

2.5 Multiplying Whole Numbers, pg. 52-59.

2.6 Multiplication Using Different Methods, pg. 60-64.

B2.8 Multiplication and Division

Show simple multiplicative relationships involving whole-number rates, using various tools and drawings.

2.7 Dividing Whole Numbers, pg. 65-72.

C. Algebra

C1. Patterns and Relations

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 and growing patterns, including patterns found in real-life contexts.

5.2 Describing Patterns, pg. 123-125.

C1.2 Patterns

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

5.3 Patterns in Tables, Charts, and Graphs, pg. 126-130.

C1.3 Patterns

Determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating and growing patterns.

5.1 What Is a Pattern, pg. 119-122.

C1.4 Patterns

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

5.2 Describing Patterns, pg. 123-125.

C2 Equations and Inequalities

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

C2.1 Variable

Identify and use symbols as variables in expressions and equations.

6.1 Placeholders, Equations, and Word Expressions, pg. 140-145.

6.3 Working with Story Problems, pg. 150-156.

C2.2 Equations and Inequalities

Solve equations that involve whole numbers up to 50 in various contexts, and verify solutions.

6.2 Inequalities, pg. 146-149.

6.3 Working with Story Problems, pg. 150-156.

C2.3 Equations and Inequalities

Solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions.

6.2 Inequalities, pg. 146-149.

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 sequential, concurrent, repeating, and nested events.

11.1 The Structure of Coding, pg. 285-289.

11.2 Simplifying the Code, pg. 290-292.

11.3 Code Blocks, pg. 293-297.

11.4 Loops and Nested Events, pg. 298-302.

C3.2 Coding Skills

Read and alter existing code, including code that involves sequential, concurrent, repeating, and nested events, and describe how changes to the code affect the outcomes.

11.5 Writing Code, pg. 303-305.

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 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.

D. Data

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 qualitative and quantitative data, and describe situations where each would be used.

9.1 Collecting Data, pg. 234-238.

9.2 Displaying Data, pg. 239-248.

D1.2 Data Collection and Organization

Collect data from different primary and secondary sources to answer questions of interest that involve comparing two or more sets of data, and organize the data in frequency tables and stem-and-leaf plots.

9.1 Collecting Data, pg. 234-238.

9.2 Displaying Data, pg. 239-248.

D1.3 Data Visualization

Select from among a variety of graphs, including multiple-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.

9.2 Displaying Data, pg. 239-248.

D1.4 Data Visualization

Create an infographic about a data set, representing the data in appropriate ways, including in frequency tables, stem-and-leaf plots, and multiple-bar graphs, and incorporating any other relevant information that helps to tell a story about the data.

9.2 Displaying Data, pg. 239-248.

9.3 Analyzing Data, pg. 249-251.

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 explain what each of these measures indicates about the data.

9.3 Analyzing Data, pg. 249-251.

D1.6 Data Analysis

Analyse different sets of data presented in various ways, including in stem-and-leaf plots and multiple-bar graphs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions.

9.3 Analyzing Data, pg. 249-251.

9.4 Probability – Likelihood and Possible Outcomes, pg. 252-255.

D2 Probability

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

D2.1 Probability

Use mathematical language, including the terms “impossible”, “unlikely”, “equally likely”, “likely”, and “certain”, to describe the likelihood of events happening, represent this likelihood on a probability line, and use it to make predictions and informed decisions.

9.4 Probability – Likelihood and Possible Outcomes, pg. 252-255.

D2.2 Probability

Make and test predictions about the likelihood that the mean, median, and mode(s) of a data set will be the same for data collected from different populations.

9.4 Probability – Likelihood and Possible Outcomes, pg. 252-255. | Experimental Probability, pg. 253.

E. Spatial Sense

E.1 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 rectangles, including the number of right angles, parallel and perpendicular sides, and lines of symmetry.

8.1 Parallel, Perpendicular, and Intersecting Lines, pg. 203-206.

8.2 Properties of Rectangles, pg. 207-211.

8.3 Lines of Symmetry, pg. 212-215.

8.4 Symmetrical Shapes and Reflections, pg. 216-218.

E1.2 Location and Movement

Plot and read coordinates in the first quadrant of a Cartesian plane, and describe the translations that move a point from one coordinate to another.

8.5 Transitions on Maps and Grids, pg. 219-222.

E1.3 Location and Movement

Describe and perform translations and reflections on a grid, and predict the results of these transformations.

8.5 Transitions on Maps and Grids, pg. 219-222.

E2 Measurement

Compare, estimate, and determine measurements in various contexts.

E2.1 The Metric System

Explain the relationships between grams and kilograms as metric units of mass, and between litres and millilitres as metric units of capacity, and use benchmarks for these units to estimate mass and capacity.

7.4 Length and Perimeter, pg. 179-184.

E2.2 The Metric System

Use metric prefixes to describe the relative size of different metric units, and choose appropriate units and tools to measure length, mass, and capacity.

7.4 Length and Perimeter, pg. 179-184.

E2.3 Time

Solve problems involving elapsed time by applying the relationships between different units of time.

7.1 Time of Day, pg. 166-170.

7.2 24-Hour Clock, pg. 171-176.

E2.4 Angles

Identify angles and classify them as right, straight, acute, or obtuse.

7.3 Angles, pg. 177-178.

E2.5 Area

Use the row and column structure of an array to measure the areas of rectangles and to show that the area of any rectangle can be found by multiplying its side lengths.

7.5 Area, pg. 185-191.

E2.6 Area

Apply the formula for the area of a rectangle to find the unknown measurement when given two of the three.

7.5 Area, pg. 185-191.

F. Financial Literacy

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

F1.1 Money Concepts

Identify various methods of payment that can be used to purchase goods and services.

4.1 Our Money System, pg. 103-105.

4.2 Purchasing Goods and Making Change, pg. 106-107.

F1.2 Money Concepts

Estimate and calculate the cost of transactions involving multiple items priced in whole-dollar amounts, not including sales tax, and the amount of change needed when payment is made in cash, using mental math.

4.2 Purchasing Goods and Making Change, pg. 106-107.

F1.3 Financial Mangement

Explain the concepts of spending, saving, earning, investing, and donating, and identify key factors to consider when making basic decisions related to each.

4.2 Purchasing Goods and Making Change, pg. 106-107.

4.3 Making Money Decisions, pg. 108-112.

F1.4 Financial Management

explain the relationship between spending and saving, and describe how spending and saving behaviours may differ from one person to another.

4.3 Making Money Decisions, pg. 108-112.

F1.5 Consumer Civic Awareness

Describe some ways of determining whether something is reasonably priced and therefore a good purchase.

4.3 Making Money Decisions, pg. 108-112.