Thursday, April 19 th Please complete Warm up 1. How many quarts is in 13.4 gallons? 2.How many km are in m
Helfpul Hint #1 1 mile=5 “tomatoes”
Helfpul Hint #2 Green Bay Packer
Did you also know? King Henry Doesn’t Usually Drink Chocolate Milk Memorize this!
Whiteboard Review
Which set of decimals is in order from least to greatest? A. 4.23, 4.12, 4.1, 4.09 B. 4.23, 4.09, 4.1, 4.12 C. 4.09, 4.1, 4.12, 4.23 D. 4.1, 4.12, 4.23, 4.09
An accountant drives 50 miles a day to work. Which expression represents the total number of miles he drives after x days? A. 50 x B. 50 x C. x – 50 D. x + 50
Samuel has been playing the piano 5 years longer than Marisa. Marisa has been playing for y years. Which equation can be used to find the number of years Marisa has been playing the piano if Samuel has been playing for 13 years? A.C. B. D.
Which point represents the ordered pair (5, 3)? A. M B. N C. O D. P
X XXXXXX XXXXXXXXXX XXXXXXXX X XXXXXX X Each contestant in a game show was given 10 questions to answer. The line plot below shows how many questions each contestant answered correctly. How many contestants got at least half of the questions correct? A. 4 B. 5C. 6D. 10
Which step should be done first when simplifying the following expression? A. Add 4 to 16. B. Subtract 8 from 16. C. Divide 8 by 2. D. Multiply 2 by 3.
Cathy is making bows to tie onto gift boxes. She has 3.85 meters of ribbon and uses 0.8 meters to make each bow. How many bows can Cathy make? A. 3 bows B. 4 bows C. 5 bows D. 6 bows
A spool contains 9 meters of ribbon. How many meter pieces of ribbon can be cut from the spool? A. 22 B. 30 C. 40 D. 53
John made a bar graph showing the eye colors of the sixth grade students at his school. About how many more sixth grade students have brown eyes than blue eyes? A. 12 B. 21 C. 33 D. 54
What is the value of the expression below? A. 1 B. 4 C. 17 D. 25
Which of the following statements is not true about prime numbers? A. No prime number is even. B. Prime numbers are whole numbers. C. Prime numbers have exactly 2 factors. D. The numbers 0 and 1 are not prime numbers.
Which is the prime factorization of 120? A.C. B. D.
Bus A arrives every 5 minutes, Bus B arrives every 12 minutes, and Bus C arrives every 20 minutes. If the three buses just arrived at the same time, in how many minutes will they arrive at the same time again? A.20C. 60 B. 40D. 80
Which of the following expressions represents the greatest common factor of 84 and 144? A.C. B. D.
Find the product? A.C. B. D.
Find the quotient? A.C. B. D.
Where on the given number line is the fraction located? A. between and C. between and B. between and D. between and
Which exponent will make the following equation true? A. x = 1 B. x = 2 C. x = 3 D. x = 4
On Wednesday mornings, admission to the park swimming pool is $3.00 per adult and $2.00 per child. Which expression can be used to find the cost of admission to the pool for a group of a adults and c children? A.C. B. D.
Evaluate the expression, if d = 3.2 A B. 5.2 C. 4 D. 3.4
-A three dimensional figure in which all the surfaces are polygons
-A flat surface (polygon) on a solid figure
-The segment where two faces meet
-The point where three or more edges meet
Base A side of a polygon; a face of a three dimensional figure by which the figure is measured or classified.
Prism A polyhedron that has two congruent, polygon shaped bases and other faces that are all rectangles.
Prism named after what kind of BASE it has
Pyramid A polyhedron with a polygon base and triangular sides that all meet at a common vertex.
Pyramid named after what kind of BASE it has
Cylinder A three dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface.
Cone A three dimensional figure with one vertex and one circular base.
Cube A rectangular prism with six congruent square faces.
Draw the net for the following 3D Figures: Cylinder Rectangular prism Triangular prism Cone Triangular pyramid
Top View
Another way to think about it… If you were directly above in a helicopter, how would it “look”?
Top View
Right Side View
Another way to think about it… If you check the tallest height of each section as you “walk past”.
What is the tallest height of section A? What is the tallest height of section B? What is the tallest height of section C? Right Side View
Front View
Another way to think about it… If you check the tallest height of each section as you “walk past”.
What is the tallest height of section A? What is the tallest height of section B? What is the tallest height of section C? What is the tallest height of section D? Front View
1.Front 2.Top 3.Right 4.Left
Units Squared COVER Use Net or Use Formula
Finding the Areas of each! A: A = 5 2 = 10 B: A = 12 5 = 60 C: A = 12 2 = 24 D: A = 12 5 = 60 E: A = 12 2 = 24 F: A = 5 2 = 10 S = = 188 Add the areas of each face. The surface area is 188 in 2.
Question
Answer 54
#1 Try Together! SA= 2(lw)+2(wh)+2(lh) SA=_____________+_____________+___________ SA=_____________+_____________+___________ SA=_________
It takes 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism. There are 3 layers of 10 cubes each to fill the prism. It takes 30, or 5 · 2 · 3, cubes. Volume is expressed in cubic units, so the volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm 3.
Units cubed Big “B” is the Base Fill Use Formula
Volume of Prism and Cylinders V=Bh B is the area of the base
BASE Rectanglur Prism: When the Base is a rectangle- to find the B, use L x W, then multiply by the height of the prism Cylinder: When the Base is a circle- to find the B, use A=πr 2 …then multiply by the height of the cylinder Cube: is a special type of rectangular prism. We can use the formula V=s 3 to find the volume, where s=side length
Find the volume of the cylinder. a in 3 b in 3 c in 3 d in 3
How much greater is the volume of the large box than the volume of the small box? a. 480 m 3 b. 420 m 3 c. 360 m 3 d. 60 m 3
Pyramid &Cone v=1/3Bh What does this formula look like?
Important Comparisons A Cone is 1/3 the size of a Cylinder with the same Base. A Pyramid is 1/3 the size of a Prism with the same Base.
v=1/3Bh B= Base Base depends on what kind of base the shape has: Rectangular Pyramid: l x w Triangular Pyramid: 1/2bh
v=1/3Bh B= Base Base= circle Base=πr ²
Find the volume of the cone. a m 3 b m 3 c m 3 d m 3
Find the Volume
FORMULA SHEET a=Bh Rectangular Prism: Cylinder Prism:
How many faces does the rectangular prism have? a.4 b.5 c.6 d.7
James has a toy box shaped like a cube. The height of the toy box is 3 m. What is the volume of the toy box? a. 9 m 2 b. 9 m 3 c. 27 m 2 d. 27 m 3
Which of the nets below could be used to form a pyramid like the one below? Question
Match each situation with the appropriate units of measure. a cm 2 _______ volume of a rectangular prism b. 25 m__________ perimeter of a large square c. 5 mm__________ area of a parallelogram d ft 3 __________ length of a mosquito
How do the volumes of prisms and pyramids compare?