What is the area of the orange triangle?
3 x 7 / 2 = 10.5
What fraction of the figure is shaded?
5/12
Write a word problem that uses
(1) a subtraction comparison model.
(2) a subtraction as "take-away" model.
Comparison model:
Abby is 5 feet tall and Betty is 4 feet tall. How much taller is Abby?
Take-away model:
Abby has 5 marbles and loses 4 of them. How many are left?
Which is NOT a unit of volume:
liters, fluid ounces, cubic inches, square meters
square meters
How many 10s are there in 1000?
100 tens
What is the volume of a 5 by 5 by 5 cube?
125 cubic units
Name a fraction between 1/4 and 1/3 on the number line.
For example: 7/24 or 3/10
What is the next number in the pattern:
4, 5, 7, 10, 14, ____
19
Which one is a unit of mass?
a pound
a kilogram
a liter
a kilogram
Express the following sum as a decimal:
10.101
A "diagonal" is a line segment on the inside of the figure that joins two vertices. How many different diagonals does a PENTAGON have?
5 diagonals
Which square has a greater fraction shaded?
Blue = 9/16
Yellow = 1/2
Write a word problem that can be solved with the following number sentence:
4 -: 1/3 = 12
One possibility:
Four pots of soup are served and each person gets 1/3 pot. How many people can be served?
Why do we teach students to measure items in non-standard units like hands and paperclips?
Because they are easier to work with and more concrete for student who are just learning what it means to measure length.
Notice that 10 divided by 9 leaves a remainder of 1.
And 100 divided by 9 leaves a remainder of 1.
And 1000 divided by 9 leaves a remainder of 1.
What is the remainder when 1,111 is divided by 9?
4
How many 2-by-2-inch tiles would it take to cover a square area that measures 5-by-5 inches? (Assume you cannot break them.)
9 are needed. This image shows how much 4 tiles can cover. 5 more are needed.
What is 5 divided by 0?
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Fill in the boxes using operation symbols to make the equation true:
2 + 2 / 2 = 3
or 2/2 + 2 = 3
16 students
There are 100 cm in 1 meter. There are 1000 meters in 1 kilometer. How many centimeters in 2.5 kilometers?
100 x 1000 x 2.5 = 250,000
As Ginger's dog grows, she keeps adding lengths of fencing to its pen, all the while maintaining its square shape. If she continues, which will grow faster -- the area of the pen, or the perimeter?
The area grows faster over time.
Many numbers on the number line can be written as fractions. These are rational numbers, such as 1/2, 5/1, 123/10, and so forth. Give one example of a number that cannot be written this way.
pi, for example, or the square root of 2.
Of the following, which always make a number bigger?
--multiplying the number by 2
--adding 2 to the number
--dividing the number by 1/2
Only adding 2 will always make a number larger.
How many square feet are in a square yard? (Hint: it's not 3!)
9
In Chinese, the word for "eleven" means "ten-one." Think about the number words in English. How far would a child need to learn to count before they started to see the base-10 structure of our system, and why?
various responses are valid.