Calculating Products with Diagrams

The video tutorial covers illustrative math for grade five, focusing on unit four, lesson two about partial products and diagrams. It begins with a warm-up activity to identify which diagram doesn't belong. The lesson then explores how diagrams can help in understanding multiplication, specifically using partial products to calculate 42 x 33. The teacher explains how to write multiplication expressions for diagrams and discusses the advantages of different diagram choices. The session concludes with a cool-down activity, reinforcing the use of diagrams in multiplication.

Which diagram does not belong because it lacks a vertical line?

• Diagram B

• Diagram A

• Diagram C

• Diagram D

Why does diagram B not belong in the warm-up activity?

• The large number is on the vertical side

• It is not divided horizontally

• It shows all partial products

• It has a vertical line

What makes diagram C unique in the warm-up activity?

• It lacks a vertical line

• It has the largest number on the horizontal side

• It shows all partial products

• It is not divided vertically

How does diagram C help in calculating 42 x 33?

• It shows 30 x 40 as 1200

• It lacks a vertical line

• It is not divided horizontally

• It shows the largest number on the vertical side

What is the first step in calculating 42 x 33 using partial products?

• Add all numbers together

• Multiply 3 x 4 and add two tens

• Divide the numbers horizontally

• Subtract the smaller number

What is the final product of 42 x 33 using partial products?

• 1386

• 42

• 1200

• 66

How is the product of 142 x 33 calculated using diagrams?

• By adding 3000 and 300

• By dividing 142 by 33

• By multiplying 3 x 1 and adding zeros

• By subtracting 100 from 142

What is the value of 142 x 33 using diagrams?

• 3000

• 1386

• 3300

• 4686

How is the equation 40 + 2 x 30 + 3 represented in diagrams?

• By adding 40 and 30

• By multiplying 40 x 30 and 2 x 30

• By subtracting 2 from 40

• By dividing 30 by 3

What is the purpose of writing multiplication expressions inside rectangles?

• To solve the problem directly

• To divide the numbers

• To represent the product

• To subtract the smaller number