Word Problems
A squirrel and a cat both ran up a tree to get away from a growling affenpinscher. The cat climbed 76 feet up the tree, but the squirrel went almost to the tippy-top: 117 feet up! How much further did the squirrel climb?
41
WHAT IS THE FRACTION WHEN THE NUMERATOR AND THE DENOMINATOR MATCH?
1
897 + 24 + 402 =
1,323
A business orders a sign shaped like a parallelogram with a length of 8 feet & a width of 6 feet. How many feet of wood are needed for the perimeter?
8 + 8 + 6 + 6 = 28.
DOUBLE JEOPARDY (If you answer BOTH questions, you get DOUBLE the points!)
(a) How much toothpaste would a toothbrush hold: 1 mL or 1 L?
(b) Would you measure the mass of a pair of sneakers in grams or kilograms?
(a) 1 mL
(1 L of toothpaste would be a water-bottle full!)
(b) grams
(Sneakers can't be heavy, like a dictionary or textbook, 'cuz you couldn't run fast!)
GIA, APRIL AND MATEO WENT TO A RESTAURANT. THEY EACH ORDERED 4 ITEMS. BUT MATEO'S NOODLES WERE TOO SALTY, SO HE RETURNED THEM. HOW MANY ITEMS DID THEY GET?
11.
3 X 4 = 12 items.
12 - 1 = 11
WHICH FRACTION IS GREATER 4/5 OR 2/5?
4/5.
The denominator is the same, but in 4/5, the numerator is higher.
1083 - 754 =
329.
I subtracted units first, then tens, then hundreds, to find the difference.
A RECTANGLE has:
LENGTH OF 3 feet and a WIDTH of 6 feet.
DRAW a RECTANGLE to be EQUIVALENT, but not CONGRUENT.
(Use the term "factors" in your reasoning.)
Teacher check: rectangle must be 18 square feet.
Possible answers include:
18 X 1, or 9 X 2.
"I used different factors to get a product of 18."
DOUBLE JEOPARDY (If you answer BOTH questions, you get DOUBLE the points!)
(a) This number is in standard form: 3,805. Write it in expanded form, then in word form.
(b) Show how to round 127 to the nearest ten, on a number line.
(a) Expanded Form: 3000 + 800 + 5
Word Form: three thousand eight hundred, five.
(b) The number line should begin at 120 & end at 130. There should be 10 equally-spaced lines ("tick marks") on it. The "blob" should be three tick marks before the "130", so 127 rounds to 130.
DENISE IS WRAPPING GIFTS. SHE USES 5 INCHES OF TAPE TO WRAP EACH GIFT. SHE WRAPS 9 GIFTS. HOW MANY TOTAL INCHES OF TAPE DOES DENISE USE?
45 inches.
9 X 5 = 45.
It's inches of tape, so: 45 inches.
Draw the fraction 4/4 on a number line.
The number line should begin with "0", & end with "1" (or more). There should be 4 equally-spaced lines ("tick marks") between the "0" & the "1". There should be a mark at the number "1".
54.
Teachers check for an array, & an area model ("tiling").
A polygon has a PERIMETER of 46 cm.
Four of its SIDE LENGTHS are 12 cm., 15 cm., 6 cm., & 7 cm..
WHAT IS THE LENGTH OF THE FIFTH SIDE?
6 cm.
I added the lengths of the four known sides.
12 + 15 + 6 + 7 = 40.
I subtracted that sum from the perimeter.
46 - 40 = 6, so the fifth side = 6.
Nadia had $10.00. She bought a pair of gloves for $5.35 & a pair of earrings for $4.28. How much change did she get?
$0.37
$5.35 + $4.28 = $9.63.
$10.00 - $9.63 = $0.37.
CRISTO HAS 28 CACTUS PLANTS. HE KEEPS HIS CACTUS PLANTS IN ROWS OF 7. HOW MANY CACTUS PLANTS ARE IN EACH ROW?
4.
"All of the stuff" is 28 (cactus plants).
It's getting split into 7 rows.
So, it's a division. 28÷7=4.
Draw the fraction 1 1/2 on a number line.
The number line should begin with "0", & end with "2" (or more). There should be 2 equally-spaced lines ("tick marks") between the "0" & the "1", & between the "1" & the "2". There should be a mark at the halfway mark between the number "1" & the number "2".
Use the distributive property to show
4 X 13 =
(What would you "split" the "13" into?)
52.
4 X (10 + 3) =
(4 X 10) + (4 X 3) =
40 + 12 = 52
A rectangle has length: 10 ft. & width: 4 ft.
MYRA says its AREA & PERIMETER are the same value.
ENZO says they are NOT.
WHO IS CORRECT?
Enzo is correct.
Perimeter: 10 + 10 + 4 + 4 = 28.
Area: 10 X 4 = 40.
28 ≠ 40.
Which of these number pairs, when rounded to the nearest ten, equals 120?
73 + 39
56 + 82
87 + 34
87 + 34
87 rounded to nearest ten = 90.
34 rounded to nearest ten = 30.
90 + 30 = 120.
Farmer Goodwin had 29 cows and 7 horses. Due to a drought, he had to sell 1/4 of his animals. How many animals did he have left?
27 animals left.
I added all the animals & the sum is 36.
I didvided 36 by 4.
1/4 is 9.
I subtracted 9 from 36 & the difference is 27.
Draw a model to show the fraction 2 1/3.
Show 3 circles or rectangles of equal size. Each of these wholes (circles or rectangles) should be divided into three equal-sized parts. Shade 2 complete wholes. For the final whole, shade only one of the three parts.
True or false:
3 X (6÷2) > 45÷5
False.
First solve the parentheses:
3 X 3 > 45 ÷ 5
9 > 9
That's false because 9 = 9.
Juan is painting all four walls in his mudroom. Each wall measures 8 feet long and 4 feet wide. If one can of paint covers 100 square feet will it be enough? Explain.
No, it will not be enough.
8 X 4 = 32.
32 X 4 = 128.
128 > 100.
So: there would not be enough paint.
Jack ran a marathon in 2 hours and 45 minutes.
He crossed the finish line at 1:15 p.m.
What time did the race start?
10:30 a.m.
I subtracted 1 hr. (60 min.) from 1:15 p.m., to get 12:15 p.m.
I subtracted another hr., to get 11:15 a.m.
I subtracted 45 min., to get 10:30 a.m.
The race started at 10:30 a.m.