Mathematics - Term 1 - Week 10

Problem solving is a critical skill in mathematics that involves identifying a problem, devising a plan, carrying out the plan, and reviewing the solution. This week, we will explore various strategies such as drawing diagrams, making lists, and working backwards. We will also emphasize the importance of understanding the problem before attempting to solve it, which can be achieved through number talks where students discuss their thought processes.

Consider the problem: 'A number is increased by 8 and the result is 15. What is the number?' To solve this, we can set up the equation: x + 8 = 15. By subtracting 8 from both sides, we find x = 7. This example illustrates how to translate a word problem into a mathematical equation and solve it step by step.

Let's work together on this problem: 'Sarah has 20 apples. She gives some to her friend and now has 12 apples left. How many apples did she give away?' Start by identifying what we know: Sarah started with 20 apples and ended with 12. We can set up the equation: 20 - x = 12. Solving for x gives us x = 8. This means Sarah gave away 8 apples. Discuss with a partner how you approached this problem.

Now it's your turn to solve some problems on your own. Work through the following questions, showing all your workings clearly. Remember to check your answers and review any mistakes. 1) A book costs R50. If you buy 3 books, how much do you spend? 2) If a train leaves at 3 PM and arrives at 5 PM, how long is the journey? 3) What is the sum of 45 and 37? 4) If you have 100 candies and give away 25, how many do you have left?

• Identify the problem
• Solve the problem
• Check your answer

Answer: Identify the problem

Identifying the problem is crucial as it sets the stage for finding a solution.

• 5
• 7
• 12
• 17

Answer: 7

Subtracting 5 from both sides gives x = 12 - 5, which simplifies to x = 7.

Answer: Showing your working helps to track your thought process and identify mistakes.

When students show their working, it allows both them and their teachers to understand how they arrived at an answer.

• 4
• 5
• 6
• 7

Answer: 6

Subtracting 9 from 15 gives a result of 6.

Answer: You can use a number line or draw a picture to visualize the addition.

Visual aids can help clarify the process of addition and make it easier to understand.

• 6
• 7
• 8
• 9

Answer: 7

Subtracting the 3 cookies eaten from the original 10 leaves you with 7 cookies.

• Number line
• Equation
• Word problem

Answer: Number line

A number line visually represents the process of addition by showing the movement along the line.

Answer: Review your steps and correct the mistake.