Estimating
Round 843 to the nearest hundred.
800
James collects marbles in a jar. When he counts them all, he has 672. He buys a pack of 150 from the store and puts them in his jar. How many does he have now?
James asks Ms. Patterson to guess how many are in the jar. She guesses that he has 903. How far off is Ms. Patterson from the correct total?
Jimmy has 822 total.
Ms. Patterson is off by 81!
Show the commutative property using the factors 2 and 3.
2 x 3 = 6 and 3 x 2 = 6
There are 20 students in the classroom. The teacher wants to make groups of 4 students. How many groups will there be in all?
There will be 5 groups in all.
20 divided by 4 is 5.
The yard has a length of 5 feet and a width of 10 feet. What is the area of the yard?
The area is 50 square feet.
A. a swimming pool
B. a mug
C. an aquarium tank
D. a spoonful
C. an aquarium tank
Your dad gives you three chores: sweeping the porch, washing the dishes, and cleaning your room.
You get started after lunch and spend 8 minutes sweeping the porch, 23 minutes washing dishes, and 40 minutes cleaning your room. If you finish at 2:15, what time did you start cleaning?
At 2:15, your dad gives you one more chore to do: unloading the dishwasher. This takes you 17 minutes. What time is it when you finish unloading the dishwasher?
You started cleaning at 1:04 PM.
You finish unloading the dishwasher at 2:32 PM.
Solve 9 x 6 and show your work.
9 x 6 = 54
Work can be shown through models (equal groups or arrays), skip-counting, repeated addition, fact families, or known facts (such as 9 x 5 = 45, 45 + 9 = 54)
There are 32 M&Ms. Ms. Patterson is sorting them in groups by color (red, yellow, brown, and blue). If there's an equal number of each color, how many M&Ms are in each group?
Include a complete fact family in your answer.
32 divided by 4 = 8. There are 8 M&Ms in each group.
4 x 8 = 32
8 x 4 = 32
32 divided by 4 = 8
32 divided by 8 = 4
The yard has a length of 5 feet and a width of 10 feet. What is the perimeter of the yard?
Perimeter = 30 feet
What is the least possible number that could be rounded to 90 as the nearest ten?
85
Gibson is playing video games, and he has scored 792 points so far. He ends up scoring 483 more points before finishing the level. How many points does he have now?
Oh no! He loses 250 points as he starts the next level! How many points does he have now, in all?
He finishes the level with 1,275 points!
Then, he has 1,025 points in all.
Show distributive property using the equation 7 x 3.
(5 x 3) + (2 x 3) Answers vary!
Draw a model showing a fraction greater than 5/8.
Answers vary!
Example: a model showing 6/8
If the area of a rectangle is 24, what are some possible measurements for its length and width?
Give at least 2 possible answers!
Include at least two! Answers vary.
L = 1, W = 24 / L = 24, W = 1
L = 2, W = 12 / L = 12, W = 2
L = 4, W = 6 / L= 6, W = 4
L = 3, W = 8 /L = 8, W = 3
Estimate the mass of a cat in kilograms.
(Keep in mind: an average third-graders is about 30 kilograms, a medium dog is about 10 kilograms, a book is about 1 kilogram)
Answers vary! They should be between 4 and 10 kilograms.
Vanessa saved up $275 to buy herself a new bike. She needs $188 more to be able to reach her goal. How much does her bike cost?
Vanessa got $204 for her birthday and combined that money with her savings. After buying her new bike, how much does she have leftover?
She needs $463 to buy her bike.
She has $16 leftover.
90 x 3.
Label the factors and product in your answer.
90 x 3 = 270
The factors are 90 and 3. The product is 270.
Find an equivalent fraction to 3/4.
Answers vary! Example: 6/8
What is the area and perimeter of the rectangle?
Area = 7 x 3
A = 21 sq. inches
Perimeter = 7 + 7 + 3 + 3
P = 20 inches
What is the greatest number that could be rounded to 500 as the nearest hundred?
549
Charlie works at a pet store. There are 8 tanks of fish with 5 fish in each tank. How many fish does he have in all?
Oh my! A delivery truck just pulled up with 7 bowls with 6 fish in each bowl. How many fish does Charlie have now?
He has 40 fish in all the fish tanks.
Then, he gets 42 more fish. Now, he has a total of 82 fish!
You are counting your money to see what coupons you can buy this week! You have 3 5-dollar bills, 5 dimes, and 7 nickels. How much money do you have in all?
Show your work!
3 5-dollar bills = 3 x 5 = 15 dollars
5 dimes = 5 x 10 = 50 cents
7 nickels = 7 x 5 = 35 cents
You have $15.85 to spend on coupons!
Draw a model and the fraction to show 7 wholes.
7 wholes = 7/1
The model should show 7 complete shapes.
What is the area and perimeter of the combined rectangles?
Area = 6 x 2 = 12
Area = 3 x 5 = 15
12 + 15 = 27
Combined area = 27 square centimeters
Perimeter = 3 + 5 + 3+ 2 + 6 + 7
P = 26 centimeters