Skip Counting
Jump by 6’s five times on a number line. What number do you land on?
30
6×14=(6×10)+(6×4). What is the product?
84
24×3=(20×3)+(4×3). Solve it.
60 + 12 = 72
14×12. Draw and label an area model for this problem.
100+20+40+8=168
Bella bought 8 boxes with 24 crayons each. How many crayons does she have?
192 crayons
If you skip count by 9’s up to 81, how many jumps did you make?
9
9×32=(9×30)+(9×2). Solve it.
288
36×12=(30×10)+(30×2)+(6×10)+(6×2). What’s the total?
= 300 + 60 + 60 + 12
=432
23×14. Use an area model to find the product.
=(20×10)+(20×4)+(3×10)+(3×4)
=200+80+30+12
=322
A concert has 18 rows of 36 seats. How many total seats are there?
648 seats
Show skip counting by 12’s on a number line until you reach 96. How many jumps did you take?
8
(20+3)×15=(20×15)+(3×15). Find the total.
300 + 45 = 345
53×24=?. Break it into partial products.
=(50×20)+(50×4)+(3×20)+(3×4)
=1000+200+60+12
=1,272
Explain how an area model shows the distributive property.
Shows distributive property by separating tens and ones before multiplying.
A farmer has 42 plots, each with 28 apple trees. Use distributive property or partial products to find how many trees.
1176 trees
Noah plants 8 rows of 7 trees. Use skip counting or repeated addition to find how many trees he planted.
56 trees
(40+7)×(20+5). Expand using the distributive property.
=(40×20)+(40×5)+(7×20)+(7×5)
=800+200+140+35
=1,175
Find the error:
42×36
=(40×30)+(40×6)+(2×30)+(2×6)
=1200+180+90+12
=1482.
What’s wrong, and what’s the correct answer?
Error: 40×6=240, not 180 → Correct total = 1,512
45×36=?. Break it into four boxes and calculate each part.
=1800+240+150+36
=2,226
A store sells 125 pencils per box and 48 boxes per shipment. Find the total pencils using a strategy of your choice.
6000 pencils
You start at 0 and skip count by 15’s twelve times. Write an equation that shows the total and solve it.
15×12=180
Explain why the distributive property makes multiplication easier for large numbers. Give an example to prove it.
It breaks big numbers into easier chunks like 23×15 = (20×15)+(3×15).
Create your own 2-digit by 2-digit problem and solve it using partial products. Show your steps.
(Student choice, should show four correct partial products and sum)
Two students each solved 38×27 using an area model but got different answers. What mistakes might cause this, and how can they check?
Likely forgot to multiply one box or added incorrectly (answers should total 1,026).
Explain how you can solve 36×48 three different ways: skip counting, distributive property, and area model. Which way is most efficient?
(Varies; students should show understanding of all 3 methods)