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๐ Understanding Multi-Step Word Problems
Multi-step word problems require you to perform more than one operation (addition, subtraction, multiplication, or division) to find the solution. They often involve a combination of these operations, making them a bit more challenging but also more rewarding to solve!
- ๐ Identify the Problem: Read the problem carefully and determine what it is asking you to find.
- ๐ Plan Your Steps: Decide which operations you need to perform and in what order.
- โ Solve Each Step: Perform each operation carefully, one at a time.
- โ Check Your Answer: Make sure your answer makes sense in the context of the problem.
๐ Objectives
- ๐ฏ Students will be able to identify multi-step word problems.
- ๐งฎ Students will be able to determine the correct operations needed to solve multi-step word problems.
- โ Students will be able to solve multi-step word problems accurately.
๐๏ธ Materials
- ๐ Whiteboard or projector
- โ๏ธ Markers or pens
- ๐ Student notebooks
- ๐งฎ Calculators (optional)
- ๐ Word problem worksheets (provided below)
๐ Warm-up (5 mins)
Review basic operations (addition, subtraction, multiplication, division) with simple one-step word problems.
- โ Example: Sarah has 5 apples. John gives her 3 more. How many apples does Sarah have in total? (Answer: 5 + 3 = 8 apples)
- โ Example: Tom had 10 candies. He ate 4 of them. How many candies does Tom have left? (Answer: 10 - 4 = 6 candies)
๐งโ๐ซ Main Instruction
Introduce the concept of multi-step word problems and demonstrate how to break them down into smaller, manageable steps.
- ๐ Example 1: A store sells pencils for $ \$0.25$ each and erasers for $ \$0.15$ each. Lisa buys 3 pencils and 2 erasers. How much does she spend in total?
- โ๏ธ Step 1: Calculate the cost of the pencils: $3 \times \$0.25 = \$0.75$
- ๐งผ Step 2: Calculate the cost of the erasers: $2 \times \$0.15 = \$0.30$
- ๐ฐ Step 3: Add the cost of the pencils and erasers: $ \$0.75 + \$0.30 = \$1.05$
- โ Answer: Lisa spends $ \$1.05$ in total.
- ๐ Example 2: A baker makes 24 cookies. He sells half of them in the morning and then eats 3 cookies in the afternoon. How many cookies are left?
- ๐ช Step 1: Calculate the number of cookies sold: $24 \div 2 = 12$
- ๐ช Step 2: Calculate the number of cookies remaining after selling: $24 - 12 = 12$
- ๐ Step 3: Subtract the number of cookies eaten: $12 - 3 = 9$
- โ Answer: There are 9 cookies left.
๐ Practice Quiz
Solve the following multi-step word problems. Show your work!
- ๐ Question 1: John has 15 apples. He gives 6 to his friend and then buys 8 more. How many apples does John have now?
- ๐ Question 2: A class has 25 students. 5 students are absent, and the teacher divides the remaining students into 4 equal groups. How many students are in each group?
- โฝ Question 3: Mary earns $ \$10$ per hour. She works for 5 hours and then spends $ \$20$ on groceries. How much money does Mary have left?
- ๐ Question 4: A baker makes 3 cakes. Each cake requires 4 eggs. If the baker has 15 eggs, how many eggs will be left after making the cakes?
- ๐งธ Question 5: A toy store sells cars for $ \$5$ each and dolls for $ \$8$ each. A customer buys 2 cars and 1 doll. How much does the customer spend in total?
- ๐ณ Question 6: There are 30 trees in a park. Half of the trees are oak trees, and the rest are maple trees. If 5 maple trees are cut down, how many maple trees are left?
- ๐ Question 7: A pizza has 12 slices. Tom eats 3 slices, and his friend eats 4 slices. How many slices of pizza are left?
๐ Assessment
Evaluate student understanding through the practice quiz and class participation.
- โ Observe: Monitor student problem-solving strategies.
- โ๏ธ Collect: Review student work for accuracy.
- ๐ฃ๏ธ Discuss: Engage students in a discussion about their approaches and solutions.
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