Ontario, Canada · Curriculum spine
Grade 4
50 concepts across 1 subject. Codes follow the ministry's own expectation numbers; where a course is broken into bites (chapter.bite), each bite names the expectations it covers.
Mathematics
The Ontario Curriculum, Grades 1-8: Mathematics, 2020 · 50 concepts
Strand A1
Social-Emotional Learning Skills
How to think and feel like a mathematician: stick with hard problems, learn from mistakes, work with others.
- A1.1Coming to StudioBeing a mathematicianStay with a hard problem, notice when a strategy is not working, and try another one without giving up.
Strand B17
Number
Whole numbers to 10 000, fractions from halves to tenths, decimal tenths, and the four operations.
- B1.1Coming to StudioNumbers to 10 000Read, write, build and break apart whole numbers up to 10 000, and spot where numbers this big show up in real life.
- B1.2Coming to StudioCompare and order to 10 000Put whole numbers up to 10 000 in order and explain which is bigger and why, using place value.
- B1.3Coming to StudioRounding to 10, 100, 1000Round a whole number to the nearest ten, hundred or thousand, and choose the rounding that fits the situation.
- B1.4Coming to StudioFractions from halves to tenthsShow fractions from halves to tenths with drawings and symbols, and explain what the top and bottom numbers mean.
- B1.5Coming to StudioFair shares and comparing fractionsShare things fairly among 2, 3, 4, 5, 6, 8 or 10 people, then compare and order the pieces each person gets.
- B1.6Coming to StudioCounting by fractionsCount up to 10 by halves, thirds, fourths, fifths, sixths, eighths and tenths, with and without a number line.
- B1.7Coming to StudioDecimal tenthsRead, write, compare and order decimal numbers to tenths, like 3.4 and 3.7, in everyday situations.
- B1.8Coming to StudioRounding decimalsRound a decimal tenth to the nearest whole number and say when that is a sensible thing to do.
- B1.9Coming to StudioFractions and decimals togetherShow that 1/2 is 0.5 and 3/10 is 0.3: the same amount written two ways.
- B2.1Coming to StudioHow the operations connectUse the links between adding, subtracting, multiplying and dividing to solve problems with more than one step, and check the answer.
- B2.2Coming to StudioMultiplication facts to 10 × 10Know the multiplication facts from 1 × 1 to 10 × 10 by heart, and the division facts that go with them.
- B2.3Coming to StudioMental math with 10, 100, 1000Multiply by 10, 100 and 1000 and divide by 10 in your head, and add or subtract decimal tenths mentally.
- B2.4Coming to StudioAdding and subtracting to 10 000Add and subtract whole numbers up to 10 000 and decimal tenths, using a method you can explain.
- B2.5Coming to StudioMultiplying by one digitMultiply two- and three-digit numbers by a one-digit number, and by 10, 100 and 1000, using arrays to see why it works.
- B2.6Coming to StudioDividing with remaindersDivide two- and three-digit numbers by a one-digit number, and write any leftover as a remainder or a fraction.
- B2.7Coming to StudioAdding a fraction again and againSee that 1/4 + 1/4 + 1/4 is the same as 3 × 1/4, and write it both ways.
- B2.8Coming to StudioRatesWork with simple rates like 3 stickers for every dollar, and use them to find how many for more dollars.
Strand C10
Algebra
Patterns, unknowns and simple equations, coding, and using math to model real situations.
- C1.1Coming to StudioRepeating and growing patternsDescribe patterns that repeat and patterns that grow, and say what changes from one step to the next.
- C1.2Coming to StudioMaking and translating patternsBuild a pattern with shapes, numbers or words, and show the same pattern in a different form.
- C1.3Coming to StudioPattern rules and predictionsFind the rule behind a pattern, use it to predict what comes later, and fill in missing pieces.
- C1.4Coming to StudioPatterns in numbersMake patterns that show how whole numbers and decimal tenths are related, like counting by 0.1.
- C2.1Coming to StudioLetters and symbols as unknownsUse a letter or a box to stand for a number you do not know yet in an expression or equation.
- C2.2Coming to StudioSolving equations to 50Find the missing number in an equation like 7 + ? = 23, and check that it works.
- C2.3Coming to StudioInequalities to 20Solve and show on a number line statements like ? + 4 < 12, where more than one answer works.
- C3.1Coming to StudioWriting code for a math problemWrite and run code that uses steps in order, steps at the same time, repeats, and repeats inside repeats to solve a math problem.
- C3.2Coming to StudioReading and fixing codeRead code someone else wrote, change it, and explain how the change alters what happens.
- C4.1Coming to StudioModelling a real situationTake a real question, decide what matters, build a math model of it, and use the model to make a prediction.
Strand D8
Data
Collecting, graphing and reading data, mean, median and mode, and the language of chance.
- D1.1Coming to StudioTwo kinds of dataTell the difference between data that describes (favourite colour) and data that counts or measures (height), and when each is useful.
- D1.2Coming to StudioCollecting and organizing dataGather data from a survey or a source, then organize it in a frequency table or a stem-and-leaf plot.
- D1.3Coming to StudioChoosing and drawing the right graphPick the graph that fits the data, including a double bar graph, and draw it with a title, labels, a scale and a source.
- D1.4Coming to StudioMaking an infographicTell the story of a data set with a table, a stem-and-leaf plot, a double bar graph and a few words that help it make sense.
- D1.5Coming to StudioMean, median and modeFind the mean, the median and the mode of a set of whole numbers, and explain what each one tells you.
- D1.6Coming to StudioReading graphs and drawing conclusionsAsk and answer questions about data shown in stem-and-leaf plots and double bar graphs, and make a convincing argument from it.
- D2.1Coming to StudioThe language of chanceUse impossible, unlikely, equally likely, likely and certain to describe how likely something is, and use that to make a prediction.
- D2.2Coming to StudioPredicting mean, median and modeGuess whether the mean, median and mode will be the same for data from two different groups, then test it.
Strand E9
Spatial Sense
Properties of rectangles, coordinates and transformations, mass, capacity, time, angles and area.
- E1.1Coming to StudioProperties of rectanglesSpot the right angles, parallel sides, perpendicular sides and lines of symmetry in rectangles.
- E1.2Coming to StudioCoordinates on a gridPlot and read points in the first quadrant, and describe the slide that moves one point to another.
- E1.3Coming to StudioTranslations and reflectionsSlide and flip a shape on a grid, and predict where it will land before you do it.
- E2.1Coming to StudioGrams, kilograms, litres, millilitresKnow that 1000 g is 1 kg and 1000 mL is 1 L, and use everyday objects as benchmarks to estimate mass and capacity.
- E2.2Coming to StudioMetric prefixes and choosing a unitUse kilo, centi and milli to compare unit sizes, and pick the right unit and tool to measure length, mass or capacity.
- E2.3Coming to StudioElapsed timeWork out how much time has passed between two clock times, and switch between seconds, minutes, hours and days.
- E2.4Coming to StudioKinds of anglesName angles as right, straight, acute or obtuse, and find them in shapes and around you.
- E2.5Coming to StudioArea of a rectangle with arraysUse rows and columns of squares to measure a rectangle's area, and see why multiplying the two side lengths gives the same answer.
- E2.6Coming to StudioUsing the area formulaGiven two of area, length and width of a rectangle, find the third.
Strand F5
Financial Literacy
Ways to pay, working out costs and change, and the difference between spending, saving, earning, investing and donating.
- F1.1Coming to StudioWays to payKnow the different ways people pay for things: cash, debit, credit, e-transfer, gift cards, and what is different about each.
- F1.2Coming to StudioCost and change in your headEstimate and add up the cost of several whole-dollar items, and work out the change from cash, using mental math.
- F1.3Coming to StudioSpend, save, earn, invest, donateExplain what each of these means and what to think about before deciding to do it.
- F1.4Coming to StudioSpending versus savingExplain how spending and saving pull against each other, and why different people choose differently.
- F1.5Coming to StudioIs it a good price?Describe ways to decide whether something is reasonably priced before you buy it.