Problem solving and revision (T2 W8)
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Move from lesson study to exam practice in Mathematics.
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Problem solving in mathematics involves identifying a problem, devising a plan, carrying out the plan, and reviewing the solution. This week, we will focus on using different strategies such as drawing diagrams, making lists, and using equations to find solutions. It's important to approach each problem methodically and to reflect on the process after arriving at a solution.
A fruit basket contains 12 apples and 8 oranges. If you eat 3 apples and give away 2 oranges, how many pieces of fruit are left in the basket? First, calculate the remaining apples: 12 - 3 = 9. Next, calculate the remaining oranges: 8 - 2 = 6. Finally, add the remaining fruit: 9 + 6 = 15. Therefore, there are 15 pieces of fruit left in the basket.
Let's solve a problem together. If Sarah has 5 books and buys 3 more, then gives 2 to her friend, how many books does she have now? Start by adding the books she bought: 5 + 3 = 8. Then subtract the books she gave away: 8 - 2 = 6. So, Sarah has 6 books left. Discuss with your partner how you approached the problem and what strategies you used.
Now it's your turn to solve some problems on your own. Remember to show your working clearly. 1. A baker made 24 cupcakes and sold 10. How many cupcakes are left? 2. There are 15 students in a class. If 4 students are absent, how many are present? 3. A toy costs R50. If you have R200, how many toys can you buy? Write down your answers and be prepared to discuss your methods.
Answer: Identify the problem
The first step in problem solving is to clearly identify what the problem is.
Answer: 8
You subtract the 2 apples eaten from the original 10 apples.
Answer: Drawing a diagram or making a list.
Visual aids like diagrams or lists can help clarify the problem and organize information.
Answer: 3
A triangle is defined as a polygon with three sides.
Answer: 3 toys
You can buy 3 toys because 100 divided by 30 equals 3 with some money left over.
Answer: 8
Subtracting 7 from 15 gives you 8.
Answer: To learn from them and improve future problem-solving.
Reviewing mistakes helps identify areas for improvement and reinforces learning.
Answer: A number line
A number line is a visual representation that helps in understanding numerical concepts.