Grade 4 Math Practice (Ontario) — Free Skills & Solutions

Solve problems involving more than one operation on whole numbers, using the relationships between addition, subtraction, multiplication, and division.

Multiplication and division facts to 10x10

Recall and demonstrate multiplication facts for 1x1 to 10x10, and the related division facts.

Mental math: x10, x100, x1000, /10, and decimal tenths

Use mental math strategies to multiply by 10, 100, and 1000, divide by 10, and add or subtract decimal tenths.

Add and subtract whole numbers to 10 000

Represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 10 000.

Multiply 2- and 3-digit numbers by a 1-digit number

Multiply two- or three-digit whole numbers by a one-digit whole number, and by 10, 100, and 1000, using tools such as arrays.

Multiply whole numbers: word problems and arrays

Represent and solve word problems involving the multiplication of two- or three-digit whole numbers by a one-digit whole number and by 10, 100, and 1000.

Divide 2- and 3-digit numbers by a 1-digit number

Divide two- or three-digit whole numbers by a one-digit whole number, expressing any remainder as a fraction when appropriate.

Division word problems: interpreting the remainder

Solve division word problems, choosing to round up, round down, report the remainder, or express the remainder as a fraction, depending on the situation.

Number and decimal patterns

Identify, describe, and extend growing and shrinking patterns of whole numbers and decimal tenths, determine pattern rules, and find missing terms.

Variables and expressions

Identify and use symbols as variables in expressions, and evaluate simple expressions by substitution.

Solve equations and inequalities

Solve equations that involve whole numbers up to 50, and solve inequalities involving addition and subtraction of whole numbers up to 20.

Data literacy toolkit: collect, display, and analyse data

Classify data as qualitative or quantitative, read a frequency table, find the mean and median of a data set, and draw conclusions from data.

Describe likelihood and predict outcomes

Use likelihood language to describe the chance of an event, and predict whether a data measure would be similar or different across two populations.

Spatial sense toolkit: rectangles, metric units, coordinates, and transformations

Identify rectangle properties, convert between metric units of mass and capacity, plot and translate coordinates, and reflect a point on a grid.

Elapsed time: find the end time

Find the end time after adding a duration in hours and minutes to a start time.

Elapsed time: find the start time or the duration

Work backward from an end time to find the start time, or find how long an event lasted given its start and end times.

Classify angles

Classify an angle as acute, right, straight, or obtuse from its measure or from a real-world example.

Compare and estimate angles

Compare two angles to say which is bigger, or estimate an angle's type against the benchmark of a right angle.

Area of rectangles using arrays

Use the row-and-column structure of an array to find the area of a rectangle, and see that area is the product of its side lengths.

Area formula: find a missing measurement

Apply the area formula for a rectangle to find the area given two side lengths, or to find a missing side length given the area and one side.

Money concepts: payment, saving, and value

Identify methods of payment, distinguish spending/saving/earning/investing/donating, reason about spending vs. saving, and judge whether a purchase is reasonably priced.

Transactions and change (no tax)

Calculate the total cost of several whole-dollar items and the change owed from a cash payment, with no sales tax.

Budgeting: spending within a limit

Check whether a set of purchases fits inside a fixed budget, and track an allowance balance through spending and saving.

Grade 4 math practice

Number Sense

Read, represent, compose, and decompose whole numbers up to and including 10 000

Compare and order whole numbers up to and including 10 000

Round whole numbers to the nearest ten, hundred, or thousand

Represent fractions from halves to tenths using drawings, tools, and standard fractional notation

Use drawings and models to represent, compare, and order fractions from fair-share scenarios with 2, 3, 4, 5, 6, 8, and 10 sharers

Count to 10 by halves, thirds, fourths, fifths, sixths, eighths, and tenths

Read, represent, compare, and order decimal tenths

Round decimal numbers to the nearest whole number

Describe relationships and show equivalences among fractions and decimal tenths

Operations

Use properties and relationships between operations to solve problems with multiple operations

Recall multiplication facts from 1×1 to 10×10, and related division facts

Mental strategies to multiply whole numbers by 10, 100, and 1000, divide by 10, and add/subtract decimal tenths

Represent and solve addition and subtraction problems, sums up to 10 000, and involving decimal tenths

Represent and solve multiplication of 2- or 3-digit numbers by 1-digit numbers and by 10, 100, and 1000, using appropriate tools including the area model

Represent and solve division of 2- or 3-digit numbers by 1-digit numbers using appropriate tools including the area model, expressing remainders as fractions

Represent the connection between the numerator of a fraction and the repeated addition of the unit fraction, using standard fractional notation

Show simple multiplicative relationships involving whole-number rates

Patterns and Relationships

Identify and describe repeating and growing patterns, including real-life contexts

Create and translate repeating and growing patterns using tables of values and graphs

Determine pattern rules and use them to extend patterns, predict, and identify missing elements in repeating and growing patterns

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

Equations and Inequalities

Identify and use symbols as variables in expressions and equations

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

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

Coding

Write and execute code involving sequential, concurrent, repeating, and nested events

Read and alter existing code with sequential, concurrent, repeating, and nested events, and describe effects

Mathematical Modelling

Apply the modelling process to represent, analyse, predict, and provide insight into real-life situations

Data Literacy

Describe the difference between qualitative and quantitative data, and describe situations where each would be used

Collect data from primary and secondary sources to compare two or more sets of data, and organize it in frequency tables and stem-and-leaf plots

Select from a variety of graphs (including multiple-bar graphs) best suited to the data, display with proper sources, titles, labels, and scales, and justify the choice

Create an infographic about a data set, using appropriate representations (frequency tables, stem-and-leaf plots, multiple-bar graphs) and incorporating relevant information

Determine the mean and the median and identify the mode(s) for data sets, and explain what each indicates

Analyse data sets in stem-and-leaf plots and multiple-bar graphs, and make convincing arguments and informed decisions

Probability

Use "impossible," "unlikely," "equally likely," "likely," and "certain" to describe likelihood, represent it on a probability line, and use it for predictions

Predict and test whether the mean, median, and mode(s) of a data set from one population will be the same for a different population

Geometric and Spatial Reasoning

Identify geometric properties of rectangles, including right angles, parallel/perpendicular sides, and lines of symmetry

Plot and read coordinates in the first quadrant of a Cartesian plane, and describe translations

Describe and perform translations and reflections on a grid, and predict the results

Measurement

Explain the relationships between grams and kilograms, and between litres and millilitres, and use benchmarks to estimate mass and capacity

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

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

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

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

Apply the formula for the area of a rectangle to find an unknown measurement when given two of the three (length, width, area)

Money and Finances

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

Estimate and calculate the cost of transactions involving multiple items priced in whole-dollar amounts, and the change needed when paying cash, using mental math

Explain the concepts of spending, saving, earning, investing, and donating, and identify key factors for basic decisions related to each

Explain the relationship between spending and saving, and describe how spending and saving behaviours may differ from person to person

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

Endless practice

Whole numbers to 10 000: place value, compare, order, round

Fractions halves to tenths: notation, fair-share, counting

Decimal tenths: represent, compare, order, round

Multi-step whole-number word problems