Problem solving and revision (T1 W10)
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Problem solving is a crucial skill in mathematics that involves understanding a problem, devising a plan, carrying out the plan, and reviewing the solution. Today, we will explore different strategies to solve problems, including drawing pictures, using number lines, and breaking the problem into smaller parts. It is important to communicate our thought process clearly so that others can follow our reasoning.
Let's solve the following problem together: 'If you have 5 apples and you buy 3 more, how many apples do you have in total?' First, we identify the numbers involved: 5 apples + 3 apples. Next, we add them together: 5 + 3 = 8. Therefore, you have 8 apples in total. We can draw a picture of the apples to visualize the problem, which helps us understand it better.
Now, let's work on this problem together: 'You have 12 cookies, and you want to share them equally with 3 friends. How many cookies does each friend get?' Start by dividing the total number of cookies by the number of friends: 12 ÷ 3. Let's do this step by step. How many times does 3 go into 12? That's right, it goes 4 times. So, each friend gets 4 cookies. Remember to show your working clearly!
Now it's your turn to solve some problems on your own. Here are three problems for you to work on: 1) 'If you read 10 pages of a book and then read 5 more, how many pages have you read in total?' 2) 'There are 15 birds in a tree. If 7 fly away, how many are left?' 3) 'You have 20 marbles, and you give 8 to your friend. How many marbles do you have now?' Remember to write down your working for each problem!
Answer: Understanding the problem
The first step in problem solving is to understand what the problem is asking.
Answer: 5
You subtract the number of candies eaten from the total: 8 - 3 = 5.
Answer: I would add 10 and 4 together.
To find the total number of ducks, you add the ducks already in the pond to the new ducks.
Answer: 13
When you add 7 and 6 together, you get 13.
Answer: 15
You subtract the stickers given away from the total: 25 - 10 = 15.
Answer: 15
You add all the numbers together: 4 + 5 + 6 = 15.
Answer: Drawing a picture
Drawing a picture helps to visualize and understand the problem better.
Answer: I should review my work and correct my mistake.
Reviewing your work helps you learn from mistakes and find the correct solution.