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Hands-On Problem Solving

Select and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem

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What a learner can do afterwards

  • Choose cubes, counters, or fingers to help solve an addition or subtraction problem
  • Use a ten frame to organise objects for counting or comparing
  • Explain why a particular tool (e.g. cubes rather than fingers) was chosen for a given problem

1 · Read

Sometimes a math problem is tricky. You can use a tool to help. Cubes, counters, fingers, and ten frames can help you think.

Tap each block and count out loud.
Cubes help you add. Here are 3 cubes and 2 more cubes.
Try it together

Mia has 4 stickers and gets 3 more. She lines up counters for each sticker. She counts them all: 7 stickers.

Tap each block and count out loud.
Tap to fill the grid, one at a time: 2 rows of 5.
A ten frame has two rows of five spots. It helps you count fast.
Good to know

Pick the tool that fits your problem. Cubes are good for moving parts around. A ten frame helps you see groups of ten.

Tools like cubes, fingers, and ten frames help you solve math problems.

More to read

Ten Frame Addition

A ten frame is a box row that holds exactly ten. Fill seven slots and three empty slots stare back. Seven plus three fills it to ten. Full frames show ten at a glance.

Ten Frames

Ten frames flex for many sums. Six dots plus four dots fills one frame to ten. Nine dots plus five dots fills one frame with four spilling to a next frame. Spillover shows teens as ten and extras.

Number Bonds

Bonds split numbers into friendly parts. Eight needs two to reach ten, then the rest piles on. Break five into two and three to feed the eight. Ten first, leftovers after.

9.1 Use a Problem Solving Strategy

Pick the tool that fits the problem. Cubes suit big piles, fingers suit tiny sums, frames suit making ten. Thirteen shows best as a full frame plus three cubes. Match tool to task. Right tools halve the work.

Explore more

2 · Watch

به انگلیسی

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Learn first

Nothing; this is a starting point.

Optional connections

This opens up

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Hands-On Problem Solving · Mathematics, ages 5 to 6 · LightMySky