Step 2: Find Partial Products Using the Area Model
Step 2: Find Partial Products Using the Area Model is a Grade 4 math skill in enVision Mathematics, Chapter 4. Students compute the four partial products of a 2-digit by 2-digit multiplication using the area model.
Key Concepts
For a multiple of 10, $A$, and a two digit number broken into tens, $T$, and ones, $O$:.
$$A \times (T + O) = (A \times T) + (A \times O)$$.
Common Questions
How do you find partial products using the area model?
Decompose both 2-digit factors into tens and ones, draw a rectangle with four sections, and compute each section as a partial product.
What is an example of finding partial products with the area model?
For 28 times 16, decompose as (20+8) times (10+6). Four products: 200, 120, 80, 48. Sum equals 448.
Why use an area model for 2-digit multiplication?
The area model organizes the four partial products visually, ensuring you multiply every part combination.
What are the four partial products in an area model?
For factors (a+b) times (c+d), the four products are a times c, a times d, b times c, and b times d.
What chapter covers area model partial products in enVision Grade 4?
Chapter 4: Use Strategies and Properties to Multiply by 2-Digit Numbers in enVision Mathematics Grade 4.