Grid Method: Error Analysis & Misconceptions
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
This worksheet explores the Grid Method for multiplying 2-digit numbers, focusing on common errors and misconceptions. Students will analyze, practice, and reason through various problems to strengthen their understanding.
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Grid Method: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
Read the explanation below before attempting the questions.
1.
The Grid Method involves breaking two 2-digit numbers into tens and units, then multiplying each part separately before adding the results. Use this approach to multiply two numbers by creating a grid of partial products.
[2 marks]B
Fluency & Practice
Answer these procedural questions to practice the Grid Method.
1.
Calculate 36 × 24 using the grid method. Show your grid and working.
[4 marks]2.
Multiply 45 by 32. Write each partial product and the final answer.
[4 marks]3.
Using the grid method, multiply 29 by 15. Show all steps.
[4 marks]C
Problem Solving & Reasoning
Apply the grid method to solve these multi-step problems and explain your reasoning.
1.
A rectangle has a length of 47 meters and a width of 36 meters. Calculate the area using the grid method and explain why this method helps avoid common multiplication errors.
[6 marks]2.
A school orders 58 boxes of pencils, each containing 24 pencils. Use the grid method to find the total number of pencils. Discuss any potential errors students might make and how to correct them.
[6 marks]3.
Explain step-by-step how multiplying 53 by 27 using the grid method can lead to errors if parts are combined incorrectly. Provide a corrected version of the multiplication.
[6 marks]D
Real-world Applications
Solve these contextual problems applying the grid method in real-life situations.
1.
A factory produces 46 units of a product each day for 28 days. Calculate the total units produced using the grid method.
[5 marks]2.
A farmer has 52 rows of apple trees, each with 29 trees. Use the grid method to find the total number of apple trees. Discuss how mistakes in partial products can affect the final answer.
[5 marks]E
Challenge & Extension
Attempt these more difficult problems to extend your understanding of the grid method.
1.
Multiply 74 by 89 using the grid method. Identify common mistakes and show the correct calculation.
[6 marks]2.
Design a multiplication problem involving two 2-digit numbers where a common error might occur in the grid method. Explain the mistake and how to avoid it.
[6 marks]F
Mixed Review & Error Analysis
Identify and correct errors in these sample grid method calculations.
1.
The student multiplies 38 by 47 but mistakenly adds the partial products instead of summing them. Show the incorrect work and correct it.
[4 marks]2.
A student multiplies 59 by 62 and records only the cross-products, missing the full partial products. Identify the error and give the correct calculation.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet