Solving Math Mysteries: A Step-by-Step Adventure!
Lesson Description
Video Resource
Key Concepts
- Understanding the problem
- Making a plan
- Carrying out the plan
- Checking the answer
Learning Objectives
- Students will be able to identify the four steps of problem-solving.
- Students will be able to apply the four steps to solve simple addition and subtraction word problems.
Educator Instructions
- Introduction (5 mins)
Begin by asking students if they ever feel stuck when solving math problems. Explain that this lesson will teach them a secret code (the four steps) to crack any math problem! Show the video '4 Steps in Solving Problems' from Miacademy Learning Channel. - Step 1: Understand the Problem (10 mins)
Discuss the importance of reading the problem carefully, multiple times. Model how to underline key words and numbers in a sample word problem (e.g., 'Lily has 5 apples. She gives 2 apples to her friend. How many apples does Lily have left?'). Emphasize identifying what the question is asking. - Step 2: Make a Plan (10 mins)
Explain that a plan is like a map. Discuss strategies like drawing a picture or using counters. Introduce key words that suggest addition ('in all', 'together') or subtraction ('left', 'take away'). - Step 3: Carry Out the Plan (10 mins)
Work through the sample problem from Step 1, demonstrating how to execute the chosen plan (e.g., drawing 5 apples and crossing out 2). Show how to write the number sentence (5 - 2 = 3). - Step 4: Check Your Answer (5 mins)
Explain that checking the answer means making sure it makes sense. Does the answer fit the problem? For the example, does it make sense that Lily has 3 apples left? Reiterate the importance of checking calculations. - Practice (15 mins)
Provide students with several word problems to solve independently or in small groups. Encourage them to use the four steps. Circulate and provide support as needed.
Interactive Exercises
- Word Problem Sort
Provide students with a set of word problems. Have them sort the problems into categories based on whether they think they will need to add or subtract to solve the problem. - Role-Playing
Act out word problems with students. One student can read the problem aloud, while another student uses manipulatives (e.g., counters, blocks) to represent the problem and find the solution.
Discussion Questions
- What do you do when you get stuck on a math problem?
- Why is it important to read the problem carefully?
- What are some words that tell you to add?
- What are some words that tell you to subtract?
Skills Developed
- Problem-solving
- Critical thinking
- Reading comprehension
- Addition and subtraction
Multiple Choice Questions
Question 1:
What is the first step in solving a math word problem?
Correct Answer: Understand the problem
Question 2:
Which of these words might tell you to add?
Correct Answer: In all
Question 3:
What should you do after you solve a problem?
Correct Answer: Check your answer
Question 4:
If you get stuck, what should you do?
Correct Answer: Read the problem again
Question 5:
What is a 'plan' for solving a math problem like?
Correct Answer: A map
Question 6:
Lily has 3 balloons. Sam gives her 2 more. Which number sentence shows this?
Correct Answer: 3 + 2 = 5
Question 7:
Tom had 6 cookies. He ate 4. Which word tells you to subtract?
Correct Answer: Ate
Question 8:
What should you underline when you read a word problem?
Correct Answer: Key words and numbers
Question 9:
Which step comes after 'Make a Plan'?
Correct Answer: Carry Out the Plan
Question 10:
When you ______ a problem, you read it carefully.
Correct Answer: Understand
Fill in the Blank Questions
Question 1:
First, we need to ____________ the problem.
Correct Answer: understand
Question 2:
Next, we need to make a _________ to solve it.
Correct Answer: plan
Question 3:
Then, we _________ out our plan.
Correct Answer: carry
Question 4:
Last, we _________ our answer.
Correct Answer: check
Question 5:
If the problem says 'in all', we might need to __________.
Correct Answer: add
Question 6:
If the problem says 'left', we might need to __________.
Correct Answer: subtract
Question 7:
A good plan helps us __________ math problems!
Correct Answer: solve
Question 8:
Underline the ________ words in the problem.
Correct Answer: key
Question 9:
Drawing a _________ can help us understand the problem.
Correct Answer: picture
Question 10:
It's okay to start _________ when solving a hard problem.
Correct Answer: over
Educational Standards
Teaching Materials
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