Mathematics, Grade 4

Reading and showing numbers to 10 000

I can read and write numbers up to 10 000, say what each digit is worth, and show the numbers with blocks, expanded form and number lines.

Building and breaking apart numbers to 10 000

I can build numbers up to 10 000 from parts and break them into parts in many ways.

Comparing and ordering numbers to 10 000

I can compare and order numbers up to 10 000 using place value, benchmarks and the signs < and >.

Rounding to the nearest ten, hundred, or thousand

I can round whole numbers to the nearest ten, hundred or thousand, and say when a situation needs rounding up or down.

Writing and showing fractions from halves to tenths

I can write and show fractions from halves to tenths with drawings, tools and fraction notation, and say what the numerator and the denominator count.

Four meanings of a fraction

I can explain what the numerator and the denominator mean when a fraction is a share, a part of a whole, a comparison or a part of an amount.

Comparing and ordering fractions from fair-share scenarios

I can compare and order the shares from two or more fair-share stories with drawings and models.

Counting to 10 by fractional amounts

I can count to 10 by halves, thirds, fourths, fifths, sixths, eighths and tenths, with tools and in my head.

Reading and showing decimal tenths

I can read decimal tenths as wholes and tenths, and show them with tools, drawings and number lines, naming the whole each time.

Comparing and ordering decimal tenths

I can compare and order decimal tenths by their size next to 1 whole, on number lines and in measurements.

Rounding decimal numbers to the nearest whole number

I can round a decimal tenth to the nearest whole number, and decide when a situation needs rounding up or down.

Showing how fractions and decimal tenths connect

I can show that fractions and decimal tenths name the same amounts, like 3/10 and 0.3, or 1/2 and 0.5.

Using properties of operations to solve multi-step problems

I can use the properties of the operations, and how the four operations are related, to solve problems with more than one step and to check my answers.

Multiplication and division facts to 10×10

I can recall the multiplication facts from 1 × 1 to 10 × 10 and their division facts, and build any fact I forget from one I know.

Mental math: multiplying by 10, 100 and 1000, and dividing by 10

I can multiply whole numbers by 10, 100 and 1000 and divide whole numbers by 10 in my head, and explain how the digits move.

Mental math with decimal tenths

I can add and subtract decimal tenths in my head with strategies like rounding and adjusting or making a whole, and explain what I did.

Adding and subtracting whole numbers to 10 000

I can add and subtract whole numbers that add up to no more than 10 000, choosing a model and a strategy, including the column algorithms.

Adding and subtracting decimal tenths

I can add and subtract decimal tenths with models, number lines and the column algorithm, lining up the decimal points.

Multiplying two- or three-digit numbers by a one-digit number

I can multiply two- and three-digit numbers by one-digit numbers and by 10, 100 and 1000, using arrays, area models and a written record.

Multiplication problems: equal groups, scaling, area and combinations

I can tell which kind of multiplication problem a story is, equal groups, scaling, area or combinations, and show and solve it with a model that fits.

Dividing two- or three-digit numbers by a one-digit number, with fraction remainders

I can divide two- and three-digit numbers by one-digit numbers with blocks, arrays and partial quotients, and write a remainder as a fraction.

Division problems: sharing, grouping and what the remainder means

I can tell sharing problems from grouping problems, and decide from the story whether a remainder becomes a fraction, needs one more group, or is left over.

Connecting repeated addition of a unit fraction to multiplying it by a whole number

I can show that adding a unit fraction over and over is the same as multiplying it by a whole number, like 1/3 + 1/3 + 1/3 + 1/3 = 4 × 1/3 = 4/3.

Showing simple rates

I can show a rate, like 4 km per hour or 3 cookies per person, with tables, double number lines and drawings, and use it to find other amounts.

Spotting repeating and growing patterns

I can identify and describe repeating and growing patterns, including ones with several changing attributes and ones found in everyday life.

Making and re-showing patterns, including with graphs

I can create repeating and growing patterns and show the same pattern with objects, a table of values and a graph.

Finding pattern rules for repeating and growing patterns

I can find a pattern's rule and use it to extend the pattern, make near and far predictions, and find missing elements.

Using patterns to show how whole numbers and decimal tenths relate

I can create and describe number patterns that show how whole numbers and decimal tenths are related.

Using symbols as variables in expressions and equations

I can use letters and symbols as variables in expressions and equations, and tell what changes and what stays the same in a situation.

Solving equations with whole numbers up to 50

I can solve equations with whole numbers up to 50 using related facts, a balance or guess and check, and check each solution.

Solving and graphing inequalities within 20

I can solve inequalities with addition and subtraction of whole numbers up to 20, check the solutions, and graph them on a number line.

Writing and running code with loops inside loops

I can write and run code with sequential, concurrent, repeating and nested events, including loops inside loops, to solve problems and show math situations.

Reading and changing code with nested loops

I can read code with loops inside loops, predict what it will do, change it, and describe how the change affects the outcome.

Telling qualitative and quantitative data apart

I can tell qualitative data from quantitative data, and describe situations where each kind would be used.

Collecting data from primary and secondary sources

I can collect data from primary and secondary sources to answer a question that compares two or more sets of data, and organize the data in frequency tables.

Organizing data in stem-and-leaf plots

I can organize a set of whole-number data in a stem-and-leaf plot and read the data back from it.

Making multiple-bar graphs

I can make a multiple-bar graph that shows two or more related sets of data side by side, with a title, a source, labels, a key and a scale that suits the data.

Choosing and justifying the best graph

I can choose the type of graph that suits a set of data best, and explain why I chose it.

Creating an infographic about a data set

I can create an infographic that tells a story about a data set, with displays like frequency tables, stem-and-leaf plots and multiple-bar graphs, a few short facts and a clear layout.

Finding the mean, median, and mode of a data set

I can find the mean and the median and identify the mode or modes of a set of whole-number data, and explain what each one tells about the data.

Asking and answering questions about data in stem-and-leaf and multiple-bar graphs

I can ask and answer questions about data in stem-and-leaf plots and multiple-bar graphs, draw conclusions, and make convincing arguments and informed decisions.

Showing likelihood on a probability line

I can describe how likely events are with the words impossible, unlikely, equally likely, likely and certain, place them on a probability line, and use the line to make predictions and decisions.

Predicting if the mean, median, and mode will match in a different group

I can make and test predictions about whether the mean, the median and the mode of a data set will be the same for data collected from a different group.

Naming the geometric properties of rectangles

I can identify the geometric properties of rectangles: four right angles, opposite sides that are equal and parallel, sides that meet at right angles, and two lines of symmetry.

Plotting and reading coordinates in the first quadrant

I can plot and read points in the first quadrant of a Cartesian plane, and describe the translation that moves a point from one place to another.

Translations on a grid

I can describe and perform translations of shapes on a grid, like 5 units right and 2 units up, and predict where the shape will land.

Reflections on a grid

I can describe and perform reflections of shapes in a vertical or horizontal line on a grid, and predict where each vertex of the image will land.

Grams and kilograms, litres and millilitres

I can explain how grams and kilograms are related and how litres and millilitres are related, change measurements between them, and connect them through water.

Estimating mass and capacity with benchmarks

I can use benchmarks for grams, kilograms, millilitres and litres to estimate mass and capacity, and then measure to check.

Using metric prefixes and choosing the right unit

I can use metric prefixes to describe how big different metric units are, and choose the units and tools that suit a length, a mass or a capacity.

Solving elapsed-time problems

I can solve problems about elapsed time, how much time passes between two times or two dates, using the relationships between units of time.

Identifying and classifying angles

I can identify angles and classify them as right, straight, acute or obtuse.

Using arrays to measure the area of rectangles

I can use the rows and columns of an array to measure the area of a rectangle, and show that its area is its side lengths multiplied.

Using the area-of-a-rectangle formula to find a missing measurement

I can use the formula A = b × h to find the area of a rectangle, or a missing side when the area and the other side are known.

Identifying different ways to pay for things

I can identify different ways to pay for goods and services, and explain why the best way depends on the situation and the person.

Estimating and calculating multi-item costs and change

I can estimate and calculate the total cost of several items priced in whole dollars, without sales tax, and the change from a cash payment, using mental math.

Understanding spending, saving, earning, investing, and donating

I can explain what spending, saving, earning, investing and donating mean, and the key things to think about before each kind of money decision.

How spending and saving relate to each other

I can explain how spending and saving are related, and describe why people's spending and saving habits can differ.

Deciding whether something is reasonably priced

I can describe ways to decide whether something is reasonably priced and a good purchase, by comparing prices, quality, amount, need and what I can afford.