Show:
Multiplicative Thinking
The Distributive Property
Division
Do Now/ Exit Ticket
Problem Solving
100
List all the factor pairs for the number 42.
What is 1 and 42 2 and 21 3 and 14 6 and 7
100
Multiply with a two digit factor by splitting the factor greater than 10. Solve for 14 x 6 Find the partial products, add and give your final answer. Please show work for credit.
What is 14 x 6 = (10 +4) x 6 = 10 x 6 = 60 = 4 x 6= 24 add partial products and get a total of 84.
100
Represent the problem with an array. Tell me the total number of Squares. Tell me the number of squares in each row. Find the answer. 15 divided by 3
What is Draw a square with three squares across and 5 rows going down to represent 15. A 3 would be at the top and a 5 would be to the side. Answer is 5.
100
Number Strings: Solve the following mentally. Explain how you solved it. 99 + 38
What is taking 1 away from 38 and adding it to 99, making it 100 + 37 which would add up to 137.
100
Dave's Goal is to write 20 reviews on his blog each week. Last week, he wrote 3 reviews each day for days. How many reviews did Dave write last week ? Did he meet his goal ? How would you model this problem ? How would you solve this problem? How many review did he write last week ? Did he meet his goal ?
What is model a bar model with 7 blocks, labeling one as 3. Solve by multiplying 7 x 3 (7 days at 3 reviews a day) Dave wrote 21 reviews. His goal was to reach 20 and he met his goal, yes.
200
9 x 6 = Split one factor and using partial products, show your answer. Work must be shown to demonstrate the partial product equations (or rectangles) solved to add and find the final answer.
What is 5 x 6 = 30 4 x 6 = 24 30 + 24 = 54 so 9 x 6 = 54
200
Split the 3 digit factor, find partial products and solve. 3 x 178
What is 3 x 178 = 3 x (100 + 70 + 8) = (3 x 100) + (3 x 70) + (3 x 8) = 300 + 210 + 24 = 534
200
Draw an array to represent the following. Give me the total number of squares and the number of squares in each row. Solve 18 divided by 6.
What is a model with 6 squares going across and 3 rows total. A 6 would be at the top and a 3 would be at the side. The answer is 3.
200
You solve for the product of 90 x 5 and got 450. Why are the products for 90 x 5 and 9 x 50 th same ?
What is they are the same because when you rename the multiple of 10 and rearrange the factors, you are multiplying by 5, 9, and 10 in both expressions.
200
An online store gives away 8 samples of peach yogurt. It gives away 4 times as many samples of honey yogurt. How many fewer peach samples does it give away ? Model the word problem, show how to solve the problem, give the final answer.
What is a model with one block for peach, representing 8 Another bar model for Honey with 4 blocks, representing 4 x 8 = 32 To find out how many fewer peach samples does it give away, you must use the model to determine there are a difference of 3 times as many for Honey. 3 x 8 = 24 The store gives away 24 fewer peach samples.
300
Rename the multiple of 10. Solve. 70 x 4 Apply the associative property, find the product, write the equation and solve.
What is 70 x 4 = (7 x 4) x 10 = 28 x 10 = 280
300
Split both factors, find partial products (4 equations), then solve for answer. 48 x 72
What is 48 x 72 = (40 + 8 ) x (70 + 2) = 40 x 70 40 x 2 8 x 70 8 x 2 = 2800 + 80 + 560 + 16 = 3456
300
Write a multiplication equation that would assist with finding the quotient. 30 divided by 5 What is the multiplication equation ? What is the quotient ?
What is 5 x 6 = 30 Quotient is 6
300
Create the greatest possible product by multiplying any two of these factors: 1,3,5,9 Which two factors did you choose and what was the greatest possible product ?
What is 5 and 9 and the Greatest Possible Product is 45.
300
Jade designed a school basement. She made 8 computer labs that were 75 square feet each. The hallway was 81 square feet. How many square feet is the basement ?
What is (Equal Groups Problem) Model should show 8 bars, with one equal to 75 and then an additional bar, longer than the others with 81. Work shown to solve: (75 x 8) + 81 (70 x 8) + (5 x 8) + 81 = 560 + 40 + 81 = 681 square feet.
400
Rename the multiples of 10 in this problem: 30 x 50 Rearrange the factors, apply the associative property and find the product. Show work.
What is 3 x 10 x 5 x 10 = (3 x 5) x (10 x 10)= 15 x 10 x 10 = 1500
400
Estimate the product, then find the actual product by renaming the factors of the original problem, find partial products (4 equations), and solve. 23 x 79
What is 23 x 79 Estimation is 20 x 80 = 1600 23 x 79 = (20 + 3) x (70 + 9) = 20 x 70 20 x 9 3 x 70 3 x 9 1400 + 180 + 210 + 27 = 1817
400
Use multiplication to solve the following quotient. 56 divided by 8. Tell me what multiplication equation represents this and what is the quotient.
What is 8 x 7 = 56 Quotient is 7
400
Brain Teaser: Vicki is in Elementary School. She is exactly half the age of her sister. What could be the ages of Vicki and her sister ?
What is Vicki could be 5-12 years old Sister would be 10-24 years old (twice the age of her sister)
400
Nicole made two posters. The second poster was 3 times larger than the first. If the first power was 78 square inches, how large were the posters altogether ? Model, show work when solving.
What is a Compare Problem. Draw one square representing Poster 1, 78 square inches Draw three squares together, representing poster 2 The total is all four together. Take 4 x 78 (4 x 70) + (4 x 8) = 280 + 32 = 312 square inches
500
Rename the multiples of 50 x 90. Rearrange the factors. Apply the associative property, find the product. Show your work.
What is 50 x 90 = 5 x 10 x 9 x 10 = 5 x 9 x 10 x 10= 45 x 10 x 10 = 4500
500
Estimate and solve the following with Partial Products (4 equations). Show your work. 38 x 73
What is 38 x 73 = 40 x 70 = 2800 Estimate 38 x 73 = (30 + 8) x (70 + 3) = 30 x 70 30 x 3 8 x 70 8 x 3 = 2100 + 90 + 560 + 24 = 2774
500
Use an array model to divide and show any remainder, if not an equal answer. Write a division equation with a remainder as your answer. What multiplication equations did you need to use to solve this problem ? 19 divided by 2
What is Array would show 2 blocks with 9 rows. There would be one remainder. Equations used: 9 x 2 = 18 10 x 2 = 20 19 divided by 2 = 9, remainder 1
500
Pick the number that does not belong. Why does it not belong ? 7, 17, 21, 28, 35, 42
What is 17 because it is not divisible by 7. all the other numbers can be divided by 7.
500
Mrs. Fisher has 25 pieces of candy to distribute among students who have mastered 2 or more lessons this week. How many students could receive equal amounts of candy? How much candy would be remaining that would not be distributed ? (Note: Mrs. Fisher is fair, so all involved must receive equal amounts) Give every possible answer you can find. (There is more than one-- Give at least 4 possible answers)
What is 25 divided by number of students. 25 /2 = (2 x 11 = 22) 11 students get two pieces each with 2 remainder 25 / 3 = ( 3 x 8 = 24) 8 students get three pieces each with 1 remainder 25 / 4 = (4 x 6= 24) 6 students get four pieces each with 1 remainder 25 / 5 = (5 x 5 = 25) 5 students get five pieces each with no remainder 25 / 6 = (6 x 4 = 24) 4 students get 6 pieces each with 1 remainder 25/7 = (7x3= 21) 3 students get 7 pieces each with 4 remainder 25/8= (8x3= 24) 3 students get 8 pieces with 1 remainder 25/9= (9x 2 = 18) 2 students get 9 pieces with 7 remainder 25/10 = (10 x 2 = 20) 2 students get 10 pieces with 5 remaining 25 / 11 = (11 x 2 = 22) 2 students get 11 pieces of candy with 3 remaining 25/12 = (12 x 2 = 24) 2 students get 12 pieces of candy with 1 remaining