Homework help · Math

“That's not how I learned it”: today's math, explained

BC teaches several ways to solve each problem before the standard method. Here's what your child's homework looks like in each grade, why it's taught that way, and how to help without confusing them.

Five rules for calmer homework

  1. Ask before you show. Start with "How did your teacher show you?" or "Explain it to me." Explaining is often enough for your child to get unstuck.
  2. Your method is a second way, not the right way. Show the method you learned after your child's method, as another way to check. Both should give the same answer.
  3. Stop when it turns into a fight. 10–20 focused minutes is enough in elementary school. A short note to the teacher ("this was hard tonight") helps them more than a page you finished together.
  4. Use AI as a tutor, not an answer machine. If your child uses an AI chatbot, ask it to explain one step or give a similar example, not to solve the homework. Check your school's rules on AI use.
  5. Practise facts in short games. Addition facts (Grades 1–3) and times tables (Grades 3–5) stick best with a few minutes most days: card games, car games, dice.

Kindergarten

Ten frames and seeing amounts at a glance

What you'll see: A box with 2 rows of 5 squares, partly filled with dots or counters.

  1. A ten frame with 7 dots: 5 in the top row, 2 in the bottom.
  2. Your child learns to see "5 and 2 more is 7" without counting one by one.

Why this way: Seeing 5 and 10 as chunks is the base for adding and subtracting later.

How to help: Draw a ten frame on paper and fill it with buttons or snacks. Ask: how many? How many more to make 10?

Everything your child learns in Kindergarten →

Grade 1

Making 10

What you'll see: 8 + 5 with the 5 split into 2 and 3, sometimes drawn as a branch under the number.

  1. 8 + 5
  2. 8 + 2 = 10 (borrow 2 from the 5)
  3. 10 + 3 = 13

Why this way: Adding to 10 first is faster and builds mental math. It's the same idea adults use for 98 + 7.

How to help: Ask "what goes with 8 to make 10?" in the car or at dinner. Pairs that make 10 are the key facts this year.

Counting on, not counting all

What you'll see: Your child starts at the bigger number and counts up, sometimes on a number line.

  1. 3 + 9: start at 9, count 10, 11, 12.
  2. Answer: 12

Why this way: It's a step between counting everything and just knowing the fact.

How to help: When your child counts from 1, ask: can you start at the bigger number?

Everything your child learns in Grade 1 →

Grade 2

Breaking numbers into tens and ones

What you'll see: Numbers split into parts, like 38 written as 30 + 8, or drawings of sticks (tens) and dots (ones).

  1. 38 + 25
  2. 30 + 20 = 50
  3. 8 + 5 = 13
  4. 50 + 13 = 63

Why this way: It shows what place value means. The "carry the 1" method hides this, so it usually comes later.

How to help: Ask your child to explain their parts out loud. If you show the method you learned, show it as another way, after theirs.

Jumps on an open number line

What you'll see: A line with no marks, with curved jumps drawn above it.

  1. 46 + 27
  2. Start at 46, jump +20 to 66
  3. Jump +4 to 70, then +3 to 73

Why this way: Jumping to friendly numbers like 70 is how strong mental-math users think.

How to help: Draw a line and let your child decide the jumps. Different jumps are fine if they land on the right answer.

Everything your child learns in Grade 2 →

Grade 3

Subtracting by counting up

What you'll see: A subtraction problem solved with jumps going up on a number line, not down.

  1. 62 − 38
  2. 38 + 2 = 40
  3. 40 + 20 = 60
  4. 60 + 2 = 62
  5. 2 + 20 + 2 = 24

Why this way: Subtraction is the distance between two numbers. Counting up avoids borrowing mistakes.

How to help: Use it with money: something costs $38 and you pay $62. How much change? Count up like a cashier.

Multiplication as equal groups and arrays

What you'll see: Dots arranged in rows and columns, or circles with the same number inside each.

  1. 4 × 3 drawn as 4 rows of 3 dots
  2. Count by 3s: 3, 6, 9, 12

Why this way: Children need to see what multiplication means before memorizing facts. Arrays later grow into the area model.

How to help: Point out arrays at home: egg cartons, muffin trays, windows. Ask: how many rows? How many in each row?

Everything your child learns in Grade 3 →

Grade 4

The area model (box method) for multiplication

What you'll see: A rectangle split into boxes, with a number in each box.

  1. 23 × 6
  2. Split 23 into 20 and 3
  3. 20 × 6 = 120 and 3 × 6 = 18
  4. 120 + 18 = 138

Why this way: It shows why multiplication works and leads straight into algebra later.

How to help: Ask your child to talk you through a box. Fast recall of times tables (to 10 × 10) still matters, so practise those separately.

Fractions on a number line

What you'll see: A line from 0 to 1 split into equal parts, with fractions marked.

  1. A line from 0 to 1 cut into 4 equal parts
  2. 1/4, 2/4, 3/4 marked along it
  3. 2/4 sits at the same point as 1/2

Why this way: It shows fractions are numbers with a size, not just pieces of pizza.

How to help: Fold a strip of paper in halves, then quarters, and mark the folds.

Everything your child learns in Grade 4 →

Grade 5

Division by chunking (partial quotients)

What you'll see: A division with a column of subtractions down the side, and numbers added up at the end.

  1. 156 ÷ 6
  2. Take away 10 groups of 6 (60): 96 left
  3. Take away 10 more groups (60): 36 left
  4. Take away 6 groups (36): 0 left
  5. 10 + 10 + 6 = 26

Why this way: Your child picks easy chunks they know, so it makes sense even before long division.

How to help: Any chunk is fine: 20 groups at once is just a faster route. Let your child choose.

Multi-digit multiplication: box method next to the standard way

What you'll see: Bigger area models, and often the standard method too.

  1. 34 × 12
  2. 30 × 10 = 300, 4 × 10 = 40, 30 × 2 = 60, 4 × 2 = 8
  3. 300 + 40 + 60 + 8 = 408

Why this way: The four boxes are exactly the four products hidden inside the standard method.

How to help: If you know the standard method, line it up next to the boxes and find the same numbers in both.

Everything your child learns in Grade 5 →

Grade 6

Ratios and percents with double number lines

What you'll see: Two number lines stacked on top of each other, with matching marks.

  1. What is 30% of 80?
  2. Top line: 0% to 100%. Bottom line: 0 to 80
  3. 10% lines up with 8, so 30% lines up with 24

Why this way: Finding 10% first, then building up, is the way most adults calculate tips and discounts in their heads.

How to help: Practise with real prices: 20% off $45 at the store, or a 15% tip.

Order of operations

What you'll see: Expressions with brackets, and steps marked in order.

  1. 3 + 4 × (6 − 2)
  2. Brackets first: 6 − 2 = 4
  3. Then multiply: 4 × 4 = 16
  4. Then add: 3 + 16 = 19

Why this way: Everyone has to agree on the order so a calculation has only one answer.

How to help: Make up a few together and check them on a phone calculator, which follows the same rules.

Everything your child learns in Grade 6 →

Grade 7

Adding and subtracting negative numbers with zero pairs

What you'll see: Coloured tiles or circles with + and − signs, with pairs crossed out.

  1. −5 + 3
  2. 5 negative tiles and 3 positive tiles
  3. Each + and − pair makes zero: cross out 3 pairs
  4. 2 negative tiles left: the answer is −2

Why this way: It shows why the sign rules work, instead of memorizing them.

How to help: Use temperature or a bank balance: it's −5 °C and warms up 3 degrees. What's the temperature now?

Solving equations like a balance

What you'll see: A drawing of a scale, or the same step written on both sides of an equation.

  1. 3x + 4 = 19
  2. Take 4 from both sides: 3x = 15
  3. Split both sides into 3 groups: x = 5
  4. Check: 3 × 5 + 4 = 19

Why this way: Doing the same thing to both sides keeps the balance. This is the foundation for all high school algebra.

How to help: Always ask your child to check the answer by putting it back in. That habit catches most mistakes.

Everything your child learns in Grade 7 →

Free practice that matches these methods

Sources

Last checked October 2, 2026. Dates can change, so always confirm with the organizer.