Guess check and improve
Use sensible guesses, testing and refinement.
Quick answer
Guess check and improve is a problem-solving strategy where you make a smart guess, test it, and then refine your guess until you find the right answer. It's like being a detective who keeps trying clues until they solve the mystery!
Learning outcome
By the end of this page, you will be able to use guess check and improve to solve problems when you don't know the answer straight away.
- You can make a sensible first guess
- You can test your guess to see if it works
- You can improve your guess based on what you learn
- You can solve problems that need more than one step
Why this matters
Guess check and improve is a powerful tool that helps you solve problems in real life, whether you're sharing cookies, planning a party, or working out how many steps it takes to get to school. It's like having a superpower that helps you find the right answer even when you're not sure where to start.
In maths, this strategy helps you solve problems that are too tricky for simple calculation. It's also used by scientists, engineers, and even chefs when they're trying to get the perfect recipe!
How it works
Here's how to use guess check and improve:
- Make a smart guess - Think about what the answer might be based on what you know
- Check your guess - See if it works by using it in the problem
- Improve your guess - Change it a little bit based on what you found out
- Repeat - Keep checking and improving until you get the right answer
It's like solving a puzzle where you don't have all the pieces yet, but you keep finding clues to help you.
Examples you can see
Let's try a simple example together:
Problem: I have some apples and oranges. There are 15 fruits altogether. I have 7 oranges. How many apples do I have?
Step 1: Make a guess - Let's guess there are 8 apples.
Step 2: Check your guess - If there are 8 apples and 7 oranges, that's 8 + 7 = 15 fruits. That's right!
Step 3: Improve your guess - Since we're right, we don't need to change anything.
Answer: There are 8 apples.
Here's a more complex example:
Problem: I have 24 sweets to share equally between some children. Each child gets 6 sweets. How many children are there?
Step 1: Make a guess - Let's guess there are 3 children.
Step 2: Check your guess - 3 children with 6 sweets each = 3 × 6 = 18 sweets. That's not enough.
Step 3: Improve your guess - I need more children. Let's try 4 children.
Step 4: Check again - 4 children with 6 sweets each = 4 × 6 = 24 sweets. Perfect!
Answer: There are 4 children.
Let's try a real-world example:
Problem: You're planning a party. You have 30 balloons and want to make 5 equal groups. How many balloons go in each group?
Step 1: Make a guess - Let's guess 6 balloons per group.
Step 2: Check your guess - 5 groups of 6 balloons = 5 × 6 = 30 balloons. That's right!
Step 3: Improve your guess - No need to change because we're correct.
Answer: 6 balloons in each group.
Try it as a mini adventure
Imagine you're a treasure hunter! You've found a map with clues to find a hidden treasure. The treasure is buried where the number of steps from the big oak tree to the old stone bench equals the number of apples in the basket.
Clue 1: The big oak tree is 10 steps from the old stone bench.
Clue 2: The basket has some apples. If you take 3 apples from the basket, you'll have 5 apples left.
Adventure Challenge: Find the number of apples in the basket using guess check and improve!
Step 1: Make a guess - Let's guess there are 8 apples in the basket.
Step 2: Check your guess - If there are 8 apples and you take 3 away, you'd have 8 - 3 = 5 apples. That matches!
Step 3: Improve your guess - Since we're right, we don't need to change.
Answer: There are 8 apples in the basket.
Now you know how many steps to take to find the treasure!
Common mistakes
- Mistake: Making a guess that's way too big or too small without thinking.
- Why it happens: You might rush to guess without looking at the problem carefully.
- Fix: Look at the numbers and think "Does this seem reasonable?"
- Mistake: Not checking your guess properly.
- Why it happens: You might add or multiply incorrectly or forget to check the whole problem.
- Fix: Use a calculator or count carefully. Double-check your answer makes sense.
- Mistake: Thinking you're done after the first guess.
- Why it happens: You might feel happy with your first guess and not want to try again.
- Fix: Remember, you're not done until you've checked and improved!
Parent and carer guide
Help your child use guess check and improve by:
- Asking questions like "What do you think the answer might be?" and "Does that make sense?"
- Encouraging them to explain their thinking out loud
- Letting them make mistakes - it's part of learning!
- Using everyday situations like sharing snacks or planning a party to practice
- Being patient and letting them work through problems at their own pace
- Not worrying if they need to try several guesses - that's how good problem solvers work!
- Practicing with simple problems first, then moving to more complex ones
- Using real objects like counters or toys to help them visualize the problem
- Reinforcing that guessing is okay and that they're being clever!
Practice questions
- Problem: I have 12 pencils. I give some to my friend and now I have 7 pencils. How many did I give away?
- Problem: There are 20 students in the class. 8 students are wearing blue shirts. How many students are wearing other coloured shirts?
- Problem: I have 30 stickers. I want to put them equally into 6 books. How many stickers go in each book?
- Problem: A cake recipe calls for 15 eggs. I have 9 eggs. How many more eggs do I need?
- Problem: I have 24 toy cars. I put them into 4 equal groups. How many cars are in each group?
Answers:
- 5 pencils
- 12 students
- 5 stickers
- 6 eggs
- 6 cars
FAQ
What does "guess check and improve" mean?
It means making a smart first guess, testing it to see if it works, and then adjusting your guess until you find the right answer.
When should I use guess check and improve?
Use it when you're stuck on a problem and can't see how to solve it straight away. It's especially helpful for word problems or puzzles.
Is guess check and improve the same as guessing?
No! Guess check and improve is more than just guessing. It's a methodical way of solving problems by testing and refining your ideas.
Can I use this strategy for big numbers?
Yes! You can use it for any size numbers. It's just more steps for bigger problems.
How can I get better at it?
Practice with lots of different problems. The more you try, the better you'll get at making smart guesses and checking them properly.