Grade 5 · Math Mountain
Grade 5 is the year fractions, decimals and percentages stop being three topics and start being three ways of writing one thing. Daily Academy tracks each separately and deliberately asks children to move between the notations, because that is where a gap actually shows.
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Canadian provinces write their curricula separately and word them differently, but the grade 5 expectations below are common across all of them. Daily Academy is skills-based rather than built to any one province’s document — see how it maps to your province.
1/2 + 1/3 answered as 2/5 is the signature grade 5 error, and the giveaway is that the answer is smaller than both fractions you started with. It comes from treating a fraction as two numbers rather than as one quantity.
It stops being true the moment you multiply by less than one, and dividing by less than one makes numbers larger. Both feel wrong, both are unavoidable in grade 5, and neither is fixed by more practice at the procedure.
A price raised 10% and then cut 10% does not come back to where it started, because the second percentage is taken from a bigger number. The same slip turns “25% off, now $60” into an original price of $75 rather than $80.
Straight from the library, at the difficulty they are served at. Every question carries an explanation that appears after answering, whether the answer was right or wrong.
Number Sense
There are 3 cats and 6 dogs.
Are there more cats or more dogs?
Why: There are more dogs. 6 is more than 3.
Addition
Which one makes 5?
Why: 4 + 1 = 5. The others make 2, 4 and 6.
Subtraction
6 − 3 = ?
Why: 6 − 3 = 3. Counting backwards is one way; knowing that 3 and 3 make 6 is a faster one.
Multiplication
Which is the same as 7 × 4?
Why: Seven 4s and (7 × 3) + 7 both make 28. Knowing a nearby fact helps you find a new one.
Mastery is estimated per skill, never per subject, so strength in one can never average away a gap in another. Each page below carries a question you can ask tonight to check it yourself.
By the end of grade 5, most Canadian curricula expect fluency with fractions of unlike denominators, multiplication and division of decimals, percentages as a third notation for the same quantities, volume of rectangular prisms, coordinate plotting, and multi-step word problems with the reasoning explained.
Because nearly everything after them assumes proportional reasoning — ratio, rate, percent, slope and algebraic fractions. Research on mathematics attainment repeatedly finds fraction knowledge in grades 4 and 5 among the strongest predictors of later secondary results, ahead of whole-number arithmetic.
It matters more than it looks. A procedure remembered without the reason behind it holds until the numbers change shape — and grade 6 changes their shape. Asking “why does that work?” after a correct answer is the cheapest diagnostic there is.
Twenty minutes, five stops, and every question pitched at your child rather than at their year group. The daily mission is free and stays free.