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Kindergarten algebra · Ages 5–6

Make It Fair

The gift box is hiding some dots. Your five-year-old can work out how many — that is solving an equation.

🎁the unknown

The one idea

Equal means both sides have the same amount. If one side has a hidden part, you can work out how big it is.

The gift box is the first “unknown”. Children solve 🎁 + 2 = 5 by counting up and by taking the same off both sides of a scale — the exact move a teenager uses on 2x + 3 = 11. Use real objects whenever you can.

📚 The 4 lessons⚖️ Balance scale✏️ Practice

This page is the right one if they can already…

  • Counts objects to 10, touching each one
  • Knows that adding one more makes “one more”
  • Can continue a red-blue-red-blue pattern

Not yet? Start at Pre-Kindergarten: The Hiding Game — algebra only works one rung at a time.

The four Kindergarten algebra lessons

In order — each one leans on the last. Every example is broken into single moves and ends by checking itself.

1

Equal means the same amount

A balance stays level when both sides have the same amount. Level means equal.

Worked example

Is 2 and 1 the same as 3?

  1. 1

    Put 2 blocks and 1 block on the left.

    ●● ●

  2. 2

    Put 3 blocks on the right.

    ●●●

  3. 3

    Match them up one to one.

    nothing left over

Answer: Yes — 2 and 1 is the same as 3.

Check: Count each side: 1, 2, 3 and 1, 2, 3.

⚠️ The usual mistake

Says “no” because the left side has two groups and the right has one.

The groups look different, so it feels different.

Fix: Push the left groups together. It is still 3 — moving things does not change how many.

💬 Say this

“Are both sides the same amount? Let’s match them up and see if anything is left over.”

🏠 Try it at home

Use a coat hanger with two cups on string as a scale. Drop in pennies until it hangs level.

2

The box is hiding some

If you know the total and the part you can see, you can count up to find the part that is hiding.

🎁

Worked example

🎁 and 2 is the same as 5. How many in the box?

  1. 1

    Start with the part you can see.

    2

  2. 2

    Count up to 5 on your fingers.

    3, 4, 5

  3. 3

    How many fingers did you put up?

    3 fingers

Answer: 🎁 = 3

Check: 3 and 2 is 5. Both sides match.

⚠️ The usual mistake

Says 5, or 7.

5 is the number they can see; 7 comes from adding everything on the page.

Fix: Use a real box. Put the dots in it yourself while they watch, then ask them to work it out with the lid closed.

💬 Say this

“We already have 2. How many more do we need to get to 5? Let’s count up.”

🏠 Try it at home

Hide some crayons in a sock. “I have 2 in my hand and the sock. That’s 5 altogether. How many in the sock?”

3

Take the same off both sides

If you take the same thing off both sides, it stays fair. Keep doing it until the box is alone.

🎁

Worked example

🎁 and 1 is the same as 4.

  1. 1

    Take 1 dot off the left.

    🎁

  2. 2

    Take 1 dot off the right too, so it stays fair.

    ●●●

  3. 3

    The box is alone. Look at the other side.

    🎁 is the same as ●●●

Answer: 🎁 = 3

Check: Put the dots back: 3 and 1 is 4.

⚠️ The usual mistake

Takes a dot off one side only.

They are focused on getting the box alone and forget the other side.

Fix: Use the interactive scale below — take a dot off one side only and it tips. Let them see it.

💬 Say this

“Whatever we do to this side, we do to that side. That’s the rule that keeps it fair.”

🏠 Try it at home

With the coat-hanger scale, take one penny from each cup at the same time. Still level?

4

Patterns with three beats

Some patterns have more than two parts. Find the part that repeats, and you know what is hiding.

Worked example

🔴 🔴 🔵 🔴 🔴 🔵 🔴 🔴 ❓

  1. 1

    Clap the colours: red, red, blue.

    clap, clap, stamp

  2. 2

    Find where it starts again.

    🔴🔴🔵 | 🔴🔴🔵 | 🔴🔴…

  3. 3

    The last group needs its third beat.

    blue

Answer: 🔵

Check: Every group is now red, red, blue.

⚠️ The usual mistake

Says red, because red came last.

They copy the most recent thing instead of looking for the repeating chunk.

Fix: Draw a line between each repeat with your finger. Each chunk must look exactly the same.

💬 Say this

“What’s the part that keeps coming back? Is this last part finished yet?”

🏠 Try it at home

Make an action pattern: clap, clap, jump, clap, clap, jump… and stop. What do they do next?

⚖️ Keep it fair

Help them get the gift box on its own. Taking from both sides keeps it level — try the wrong button and watch it tip.

Get the 🎁 all alone — but keep it fair!

🎁

✏️ Practice that never runs out

Your child taps — no reading needed. Say the question out loud together.

How many in the box?

The box and the dots on one side are the same as the dots on the other. Tap how many dots are in the box.

🎁

Finish the pattern

Tap the picture that fills the gap. Clap the pattern first.

🚗🚲🚗🚲🚗🚲❓

The words, in plain English

Equal
The same amount on both sides.
2 and 1 is equal to 3.
Balance
A scale that stays level when both sides are equal.
3 blocks balances 3 blocks.
Missing
A part we cannot see yet.
The box is hiding 3.
Repeat
Comes back again and again.
red, red, blue repeats.

🌍 Algebra in an ordinary day

  • “You have 2 grapes. I want you to have 5. How many more do I give you?”
  • Sorting the washing so both of you carry the same
  • Clapping the pattern in a song

🏁 By the end of Kindergarten

  • Says whether two sides are equal by matching
  • Finds a hidden number up to 5 by counting up
  • Keeps a scale fair by changing both sides
  • Continues ABC and AAB patterns

Where this fits

One idea, twelve rungs. The hiding spot just gets cleverer.

  1. Pre-K❓The Hiding Game
  2. K🎁Make It Fair
  3. 1□The Same As
  4. 2?Number Machines
  5. 3nLetters Are Boxes
  6. 4nNumber Recipes
  7. 5xUndo It
  8. 6xBalance and Tip
  9. 7xTwo Steps Back
  10. 8y = mx + bLines and Slope
  11. 9xAlgebra 1
  12. 10f(x)Curves and Functions

← One rung down

Pre-Kindergarten: The Hiding Game

One rung up →

1st Grade: The Same As

All 12 gradesMore maths, grade by grade →

Frequently Asked Questions

What algebra should a Kindergarten child learn?

Equal means both sides have the same amount. If one side has a hidden part, you can work out how big it is. By the end of the year they should be able to: says whether two sides are equal by matching; finds a hidden number up to 5 by counting up; keeps a scale fair by changing both sides; continues ABC and AAB patterns.

Isn’t Kindergarten too early for algebra?

Not the way it is taught here. Algebra is finding a number that is hiding, and at this age the hiding spot is 🎁 — something a child can point at. There are no letters, and the ideas match what kindergarten maths already covers.

What is the most common Kindergarten algebra mistake?

Says 5, or 7. 5 is the number they can see; 7 comes from adding everything on the page. The fix: Use a real box. Put the dots in it yourself while they watch, then ask them to work it out with the lid closed.

Does my child need to read?

No. The lessons are written for you to say out loud, and the practice is pictures and dots your child taps. Nothing needs reading, writing or typing.

Is it free?

Yes. All 4 lessons, the pictures, the worked examples, the balance scale and the practice questions are free with no signup. The practice never runs out — every question is generated fresh and checked.

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