Trial and Improvement at KS1
Simply 'having a go' is a great way to make a start on a mathematical problem. Whatever happens, you will have learnt more about the situation and can then tweak your approach. These activities all lend themselves to this 'trial and improvement' way of working.
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.


Five Steps to 50
Age 5 to 7 challenge level.
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Two-digit Targets
You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

One Big Triangle
Make one big triangle so the numbers that touch on the small triangles add to 10.

Find the Difference live
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Eggs in Baskets
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

Four Colours
Age 5 to 11 challenge level.
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.

Heads and Feet
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Starfish Spotting
How many starfish could there be on the beach, and how many children, if I can see 28 arms?

The Brown Family
Use the information about Sally and her brother to find out how many children there are in the Brown family.

The Tall Tower
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Age 5 to 16 Challenge Level
Use these four dominoes to make a square that has the same number of dots on each side.
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Trial and Improvement
Subject: Mathematics
Age range: 11-14
Resource type: Other

Last updated
15 February 2017
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Not quite what you were looking for? Search by keyword to find the right resource:
Trial and Improvement
Solving equations using trial and improvement, example question, test yourself.

Interactive worksheets on sequences:
Practice gcse questions:, trial and improvement game.
Resourceaholic
Ideas and resources for teaching secondary school mathematics
- Blog Archive
26 May 2014
Trial and improvement.

- Teachitmaths has a great PowerPoint explaining the method.
- I particularly like the way this worksheet by jhofmannmaths is set out.
- Justmaths.co.uk has a Whodunnit activity and exam questions .
- Mr Barton Maths has a 'Win a Million' game .
- Teachmathematics.net has a good Excel activity .
- Mr Collins writes about this animal zoo resource in his blog .
- Finally, an extension worksheet on linear interpolation.

2 comments:
This misconception took ages for my year 11s to get their heads around last year - I'll know where to find an example function next time around - thanks! One neat activity I use for introducing T & I (and demonstrating the power of bisection) is showing how I can guess any 6 digit number in 20 yes-or-no questions or less. And once they've seen how, they can try it on each other. I like the Mr Barton's activity, only when my guesses got too close it accused me of using a calculator! How rude...

That is a very rude accusation! :) I'm glad the example is useful, it took me a while to find one (failed to come up with one myself). I love your yes-or-no activity, what a good idea. I'll definitely be using that. Thanks!
- Year 6 curriculum map
Solving problems with two unknowns
- Covid Recovery
Unit 11 – 2 weeks
The PowerPoint file contains slides you can use in the classroom to support each of the learning outcomes for this unit, listed below. The slides are comprehensively linked to associated pedagogical guidance in the NCETM Primary Mastery Professional Development materials . There are also links to the ready-to-progress criteria detailed in the DfE Primary Mathematics Guidance 2020 .
Classroom slides for this unit
All summer term units, learning outcomes, related pages.
- Curriculum prioritisation in primary maths
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Simply 'having a go' is a great way to make a start on a mathematical problem. Whatever happens, you will have learnt more about the situation and can then
Simply 'having a go' is a great way to make a start on a mathematical problem. Whatever happens, you will have learnt more about the situation and can then
in teaching problem solving skills in maths in years 1-3. Over the course of 3 months teachers explicitly taught trial and improvement lessons in maths and
Then includes a task with differentiated questions followed by a wordy problem solving task aimed at the new specification.
KS1 curriculum that remain relevant for these pupils. ... greatly to improve a child's problem solving performance. ... Trial and improvement is.
Trial and Improvement is a method of solving equations when you can't do it by normal algebraic methods. It's normally a 3 mark question so understanding it
Here's an example which illustrates the problem: These trials tell us that the solution is between 2.1 and 2.2. The question requires an answer
Model the trial and improvement process by placing the ball in one of the possible places and then explain that the next clues might help to find the final
Maths Problem Solving Strategies - Trial and Error. 6.7K views 7 years ago. F Hughes. F Hughes. 324 subscribers. Subscribe.
Curriculum prioritisation, Year 6, Unit 11 - Solving problems with two unknowns. ... solve problems with two unknowns using 'trial and improvement' (one and