Guess Who?
Geometry Classification
Geometry Classification
What 3-sided polygon has only two congruent sides and all acute angles? Classify and draw an example!
Acute, Isosceles Triangle
Ms. Edmonds has 1/3 of a lasagna left from dinner. She gives her son Zion 1/4 of the remaining lasagna for his lunch the next day.
What fraction of the lasagna did Zion eat for lunch?
1/4 of 1/3 means 1/4 x 1/3 = 1/2 of lasagna for Zion
Ms. Engram and Ms. Davis are measuring the new storage container they rented for all their instruments! The base of the container is 35 square feet. The height of the container is 9 feet tall. What is the volume of the storage container?
Hint: Don't forget the units!
35 sq. ft x 9 ft. = 315 cubic feet
1550 / (5 x 10) + 27
Which part of this equation would you solve first?
(5 x 10) because parentheses go first!
How does the digit in the thousands place compare to the digit in the hundreds place?
3,333
The thousands place is ten times bigger than the hundreds place, since 300 x 10 = 3,000.
3,000 > 300 OR 300 <3,000
What attribute do all trapezoids have in common?
Name the attribute and draw an example of a trapezoid!
Only one pair of parallel sides!
Which fraction when multiplied by 4/5 will result in a fraction greater than 4/5?
A. 4/5
B. 2/2
C. 3/2
D. 5/6
C. 3/2
To end with a product larger than 4/5, you have to multiply by a fraction greater than 1.
A & D Are both less than 1 whole, so will result in a smaller product.
C is equal to one whole, so will result in an equal product.
Look at this division problem: 4,864 / 16
Which of the following show a way to solve this equation with partial products? Choose TWO.
A. (4,800 / 16) + (64 / 14)
B. (4,800 / 8) + (64 / 2)
C. (4,864 / 10) / 6
D. (4,000 /16) + (800 / 16) + (64/ 16)
A & D:
A uses efficient partial products like 4,800 / 16 = 300 and 64 /16 = 4
D uses partial products with place value: Thousands, hundreds, etc.
B is INCORRECT because dividing part of it by 8 and part of it by 2 is NOT equivalent to dividing by 16.
C is INOCRRECT because dividing by 10 then dividing by 6 is NOT equivalent to dividing by 16.
Ms. McKibben is making a new sign for the car rider line. Her design needs 5.75 square feet of wood. She already has a piece that is 3.9 square feet. How much wood does she still need to finish her project?
What operation do we need? Solve the problem!
Subtraction to find how much she still needs or the difference!
5.75 - 3.90 = 1.85 square feet
How does the value of the number in the thousandths place compare to the value of the number in the hundredths place?
4.444
It is one-tenth the value since 0.04 / 10 = 0.004
0.04 > 0.004 OR 0.004 < 0.04
What 3-sided polygon has a 90-degree angle and no congruent sides? Classify and draw an example!
Right, Scalene Triangle
Find the difference.
16/20 - 2/5
You need a common denominator to subtract, so 2/5 x 4/4 = 8/20.
16/20 - 8/20 = 8/20.
Ms. O'Sullivan makes 294 cookies. She puts 14 cookies in each box to send to her family and friends. How many boxes can she make?
Hint: don't forget your 2s, 5s, 10s!
294 / 14 = 21 boxes
2 x 14 = 28 5 x 14= 70
20 x 14 = 280 10 x 14 = 140
Dr. Via brought four 1-gallon ice-cream containers for the winners of the good-attendance award! The students ate 3/4 from each of the 4 containers. Dr. Via wants to know the total amount of ice cream the students ate.
Which expression could she use to solve?
A. 4 x 3 /4
B. 4 x 4 / 3
C. 4 + 8 / 5
D. 4 + 5 / 8
The students ate 3/4 of the 4 gallons, so 3/4 x 4
Since we can rearrange the factors in multiplication, 4 x 3/4 would be the same thing.
B switches the numerator and denominator. C and D add the 4 gallons to the fraction which doesn't make sense.
Write this number in standard form:
(5 x 10) + (3 x 1) + (7 x 0.1) + (2 x 0.001)
53.702
Did you notice there were no hundredths?
What attribute do all rhombuses have in common?
Name the attribute and draw an example of a rhombus!
All congruent (or equal) sides
Ms. Stoudt has a dog named Fritz that weighs 12 pounds. Ms. Webster has a dog named Bear that weighs 5/3 times the weight of Fritz.
How much does Bear weigh?
5/3 times the 12 pounds means we multiply!
5/3 x 12 = 60/3 or 20 pounds!
Remember: when you multiply a whole number by a fraction, multiply the numerator!
Multiply:
3,088 x 245
Hint: Think about area model, partial products, or the standard algorithm. If you have time, double check your answer with a second strategy!
756,560
Ms. Wood was taking inventory in the library. She recorded the fraction of each bookshelf that was full to record on a line plot. Her data is below:
1 full shelf, 1/8 shelf, 3/8 shelf, 3/4 shelf, 1/2 shelf, 1/4 shelf
If Ms. Wood wants to REDISTRIBUTE the books, how many full shelves can she make?
3 full shelves because:
1 full shelf
3/4 + 1/4 = 1 full shelf
1/2 is really = 4/8 of a shelf, so 4/8 + 3/ 8 + 1/8 = 8/8 or 1 full shelf
Write this number in word form:
6.052
six AND fifty-two thousandths
How are squares and rectangles different?
Rectangles have..., but squares have...
Rectangles have:
-opposite sides equal, non-congruent sides sometimes
Squares have:
-always 4 congruent sides, are also rectangles but not all rectangles are squares
Ms. Roland is considering buying a new carpet for her classroom! The dimensions of the carpet are 4 and 2/3 feet long and 3 and 1/5 feet wide. What is the area of the new rug?
Hint: Think about an area model or partial products!
4 x 3 = 12 feet
2/3 x 3 = 6/3 or 2 feet
4 x 1/5 = 4/5 ft (common denominator: 4/5 x 3/3= 12/15)
2/3 x 1/5 = 2/15 ft
So, 12 + 2 + 12/15 + 2/15 = 14 and 14/15 sq. ft.
Ms. Webster has a box with a volume of 240 cubic inches. The box has a height of 12 inches. What could be the length and width of the box? Choose TWO possible options.
A. Length = 2 inches, width = 10 inches
B. Length = 88 inches, width = 140 inches
C. Length = 4 inches, width = 5 inches
D. Length = 60 inches, width = 4 inches
Since you know one dimension you can start by dividing: 240 / 12 = 20. So, think of a factor pair that would produce 20 like 2 x 10 or 4 x 5.
B would be correct if we ADDED dimensions to find volume, but we don't.
D. Would result in a volume that is too big since the height is 12: 60 x 4 x 12 = 2880 cubic inches not 240.
Ms. Maida is preparing for the clay unit! She has 12 blocks of clay, and she cut each block of clay into slices. Each slice was 1/8 of a block. What equation shows how many portions of clay she made for the students?
A. 12 + 1/8 = 12 and 1/8
B. 12 x 1/8 = 12/8
C. 12 divided by (1/8) = 96
C. 12 divided by 1/8 since she had 12 blocks of clay that she partitioned into 1/8 sized slices. She was able to make 96 portions in all.
Remember: When dividing a whole number by a fraction, you will end with a whole number!
What is the value of the expression below?
24,000 / (6 x 103)
4
Start with parenthesis and exponents since they are the strongest operation. 6 x 103 is the same as 6 x 10 x 10 x 10 OR 6 x 1,000 = 6,000
24,000 / 6,000 = 4