Area Model Basics
Explain how to set up 23 × 15 using an area model.
Split 23 into 20 and 3, and 15 into 10 and 5. Draw a box, label sections, and multiply each part (20×10, 20×5, 3×10, 3×5). Add the partial products.
Break 24 × 13 into partial products then solve
(20×10) + (20×3) + (4×10) + (4×3) = 312
Lisa buys 23 packs of markers with 14 markers each. How many total markers?
23 × 14 = 322 markers.
Solve 34 x 65
2,210.
Solve 98 × 76 using any method.
A: 7,448
Solve 34 × 12 using an area model.
(30×10) + (30×2) + (4×10) + (4×2) = 408
Solve 56 × 21 using partial products.
(50×20) + (50×1) + (6×20) + (6×1) = 1,176
A farm has 45 rows of 26 plants. How many plants?
45 × 26 = 1,170 plants.
Solve 21 x 78
1,638
Solve 74 × 58 using both methods and compare.
Both should give 4,292
Fill in the missing box in this area model.
(You’d provide a diagram with one missing partial product, and the answer is the correct number).
What is the largest partial product in 78 × 34?
A: 70×30 = 2,100
A stadium has 63 sections with 72 seats each. Find the total seats.
63 × 72 = 4,536 seats.
349 x 6
2,094
Explain why 2-digit by 2-digit multiplication works.
It’s based on place value and breaking numbers into tens and ones for easier multiplication.
Explain why the area model helps with multiplication.
It breaks numbers into smaller parts, making it easier to multiply and understand place value.
Explain why partial products work.
They break multiplication into smaller steps, making it easier to solve and understand.
A truck delivers 84 boxes with 39 cans each. How many cans?
84 × 39 = 3,276 cans.
58x63
3,654
Solve 99 × 99
(99 × 100) - 99 = 9,801
Create your own area model for 47 × 29 and solve.
Answers will vary but should correctly split 47 into 40 and 7, and 29 into 20 and 9, then solve using an area model.
Solve 92 × 47 using partial products.
(90×40) + (90×7) + (2×40) + (2×7) = 4,324
Create your own word problem using 2-digit multiplication.
Answers will vary but must include a real-world multiplication scenario.
852x6
5,112
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