U1 Area and Volume
Kayla was playing Name That Number. Her cards were 3, 9, 15, 1, and 2. The target number was 8. Write TWO expressions Kayla might have used. *One has to include parentheses.
2 * (3 + 1)
15 - 9 +2 * 1
(15 + 1) ÷ 2
Find 101 * 26 using two different strategies
2,626 (Show work)
There are 3 pink donuts in Mrs. P's kitchen. If she wants to bring a small piece in her lunch every day for the next 12 days of school. If she wants to eat the same amount each day, how much should she bring for lunch each day? Write a number model and find a solution.
Number model: 3 ÷ 12 = d
Answer: 3/12 or 1/4
Write 8.713 in words.
eight and seven hundred thirteen thousandths
Find a common denominator for 5/6 and 1/2. Then rewrite the new fractions.
6; 5/6 and 3/6 or
12; 10/12 and 6/12
Find the AREA of a rectangle with a length of 5 units and a width of 2 1/2 units. Write the number sentence you used to solve the problem. *Don't forget a label!
12 1/2 square units
5 * 2 1/2
OR (5 * 2) + (5 * 1/2)
OR (5 * 2) + 1/2 + 1/2 + 1/2 + 1/2 + 1/2
Solve 962/25 using any strategy.
Write a division number story where the answer is 1/5.
Sample: One loaf of bread was shared equally among 5 people. How much bread did each person get?
Round 6.076 to the nearest
a. hundredth
b. tenth
c. whole number
a. 6.08
b. 6.1
c. 6
What is 1/5 of 45? So what is 3/5 of 45?
9; 27
Name 5 items in the room that have volume.
Answers vary but should take up space.
Destiney and Abbi were playing High Number Toss. They created the numbers below. Write each player's number in standard notation and circle who won the round.
Destiney: 624 * 104
Abbi: 155 * 105
Destiney: 6,240,000
Abbi: 15,500,000 *Winner*
3/4 + 1/12
10/12 or 5/6
0.25 + 0.37
0.62
20 * 3/10
60/10 or 6
Emmett was raising money to donate. He earned $23 from selling his baseball cards and $7 for walking his neighbor's dog. He donated half of the money to his school. Write an expression to show the amount Emmett donated. Then solve.
(23 +7) ÷ 2; $15
Create a mathematical model for the problem and then solve it. Explain what you did with the remainder and why.
Carter is helping out in the school library. He needs to figure out how many shelves the librarian should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on the shelves. How many shelves should the library order?
7 R 28 but that means 28 additional books need to go on shelves so should order 8 shelves after rounding up the quotient.
Natali had 2 1/3 heads of lettuce. She used 2/3 head of lettuce to make a salad for her family. How many heads of lettuce does she have left? Write a number model and then solve it.
2 1/3 - 2/3 = h
h = 1 2/3
10.3 - 5.7
4.6
Gianna has 1/2 gallon of milk. She wants to pour it into 4 small containers. How much milk should she put in each?
1/2 ÷ 4 = 1/8
Find the volume of Thor's hammer if the handle's measurements are 20 inches by 3 inches by 3 inches and the head is 11 inches by 6 inches by 8 inches. Write a number sentence showing how you found the volume. *Don't forget a label!
(20 * 3 * 3) + (11 * 6 * 8) = V
V = 708 inches3 or cubic inches
Write an expression with grouping symbols to model the problem. Then solve.
The dimensions of a room in Mrs. P's basement are 8 yards by 9 yards. Carpet costs $6 per SQUARE FOOT. How much would it cost to carpet the room?
Number model [(8 * 9) * 9] * 6
Steps: First, 8 * 9 to find the area of 72 yds2. Second, do * 9 because 3 ft = 1 yd so 3ft2 = 1yd2 and 32 is 3 * 3 = 9. Last, * 6 because $6 per square foot.
Answer: $3,888
Charles solved the problem 1/8 of 7 and got the answer 1 3/8. Bradley, "I can tell just by looking at the problem that your answer doesn't make sense." How can Bradley tell the answer doesn't make sense? What is the correct answer?
He thought about finding 1/8 of 7. Charles can't take 7 apples and put a whole apple into each of the 8 groups. He doesn't have enough apples. So the answer has to be less than 1.
Correct Answer: Take one piece from each of the 7 apples eight times. So 1/8 of 7 is 7/8 apple.
Make the following changes to 5.376.
Make 3 worth 10 times as much.
Make the 7 worth 1/10 as much.
Make the 5 worth 1/10.
Make the 6 worth times as much.
3.567
Rylan has 5 pounds of clay. If he divides the clay into 1/3 pound piece, how many pieces will he have?
5 ÷ 1/3 = 15