To add... or subtract...
The Buffalo Zoo is tracking the number of visitors over a weekend. On Saturday, 12,450 people visited. On Sunday, 15,325 people visited.
The Question: How many people visited the zoo in total over the weekend?
Addition
12,450 + 15,325= 27,775 visitors
9.Which number is not a multiple of 7?
a. 14
b. 17
c. 49
d. 70
b. 17
The Scenario: At a local pet store, there are 8 hamsters. The store has 4 times as many fish as it has hamsters.
The Question: How many fish are at the pet store?
8 x 4
32 Fish
The Scenario: In the number 57,432, what is the value of the digit 7?
(A) 700
(B) 7,000
(C) 70,000
(D) 70
(B) 7,000
Level 1: Basic Arrays/Area Models
The Scenario: A classroom has 4 rows of desks. Each row has 12 desks.
The Question: Which expression can be used to find the total number of desks in the classroom?
(A) 12 + 4
(B) 12 divide4 4
(C) 12 X 4
(D) 12 - 4
c. 12 X 4
A tech company in New York City has a warehouse with 45,800 laptops. During a massive back-to-school sale, they sold 23,150 of them.
The Question: How many laptops are left in the warehouse?
45,800 - 23,150= 22,650 laptops
Which numbers are multiples of 9? choose all that apply.
a. 90
b. 27
c. 29
d. 72
a.90 & b.27
Level 2: Finding the Unknown Factor
The Scenario: A library has two bookshelves. The fiction shelf is 54 feet long. The non-fiction shelf is 9 feet long.
The Question: How many times longer is the fiction shelf than the non-fiction shelf?
6 times longer
54/9
Consider the two 4s in the number 44,125. How does the value of the 4 in the ten-thousands place compare to the value of the 4 in the thousands place?
The Question: Complete the sentence: The 4 in the ten-thousands place represents _______ times the value of the 4 in the thousands place.
10 times
To solve 7 x 23, Sarah broke the problem into two smaller parts:
The Question: What is the final product of 7 x 23?
(A) 140
(B) 161
(C) 143
(D) 154
140 + 21
(B) 161
Two apple orchards in Upstate New York are totaling their harvest. Orchard A picked 38,765 apples. Orchard B picked 46,438 apples.
The Question: What is the combined total of apples picked by both orchards?
38,765 + 46,438 = 85,203 apples
Jacob told Eric that 5 is a composite number is Jacob correct?
YES
NO
NO
Level 3: "Times as Many" with Multi-Digit Numbers
The Scenario: A school cafeteria sold 120 cartons of milk on Monday. On Friday, they sold 3 times as many cartons as they did on Monday.
The Question: How many cartons of milk were sold on Friday?
123 x 3 = 360 Cartons
Expanded Form and Word Form
The Scenario: A local park covers thirty-six thousand, eight hundred five square feet of land.
The Question: Which of the following shows this number written in expanded form?
(A) $30,000 + 6,000 + 80 + 5$
(B) $3,000 + 600 + 80 + 5$
(C) $30,000 + 6,000 + 800 + 5$
(D) $30,000 + 6,000 + 800 + 50$
(C) 30,000 + 6,000 + 800 + 5
A local bakery sells boxes of cookies. Each box contains 10 cookies. On Saturday, the bakery sold 6 boxes. On Sunday, they sold 8 boxes.
The Question: How many total cookies did the bakery sell over the weekend?
60 + 80 = 140
The Adirondack Park has two main hiking regions. Region One has an area of 60,000 acres. Region Two has an area of 42,575 acres.
The Question: Exactly how many more acres are in Region One than in Region Two?
60,000 - 42,575 = 17,425 acres
list all the factors of 27.
1,3,9,27
Level 4: Comparison with a Total (The "Tape Diagram" Challenge)
The Scenario: A baker made chocolate and vanilla cupcakes. She made 5 times as many vanilla cupcakes as chocolate cupcakes. She made 4 chocolate cupcakes.
The Question: How many cupcakes did she make in all (chocolate and vanilla combined)?
4 x 5 = 20
20+4 = 24 total cupcakes
The Scenario: The population of a town in New York is 77,491.
The Question: What is the relationship between the value of the 7 in the ten thousands place and the value of the 7 in the thousands place.
ten times as much
The Scenario: Look at the partial products used to solve the problem below:
Step 1: 4 x 30 = 120
Step 2: 4 x 6 = ?
The Question: What is the value of the missing partial product in Step 2, and what is the final product of 4 x 36?
Step 2: 24
Final Product: 144
The Scenario: A professional football stadium is tracking attendance for three games.
Game 1: 62,450 fans
Game 2: 18,300 fans
Game 3: 25,750 fans
The Question: Is the attendance of Game 1 greater than or less than the combined attendance of Game 2 and Game 3? By how much?
18,300 + 25,750 = 44,050
62,450 - 44,050 = 18,400
Game 1 is greater by 18,400
Which are a factor pair of 36?
a. 3,12
b. 6,9
c. 1,3
d. 4,18
a. 3,12
DAILY DOUBLE!
Level 5: The Double Comparison (Multi-Step)
The Scenario: Three friends are saving money for a trip to a New York state park.
Leo saved $10.
Maya saved 4 times as much as Leo.
Sam saved $20 less than Maya.
The Question: What is the total amount saved by all three friends?
Leo 10
Maya 10 x 4 = 40
Sam 40-20=20
10+40+20
Total : $70
The Scenario: Use the digits 4, 0, 9, 2, 7 to create the largest possible 5-digit number and the smallest possible 5-digit number (the number cannot start with 0).
The Question: Write both numbers. Then, use the symbol <, >, or = to compare the two numbers. Finally, determine how much larger the digit in the ten-thousands place of your "largest number" is compared to the digit in the ten-thousands place of your "smallest number."
Largest: 97,420; Smallest: 20,479.
Comparison: 97,420 > 20,479. The value of the 9 is 70,000 greater than the value of the 2.
Two schools are collecting cans for a food drive.
School A collected 12
School B collected 3 times as many cans as School A.
The Question: How many more cans did School B collect than School A? Show your work.
12 x 3 = 36
36 - 12 = 24
24 More Cans