Decimals and Fractions

Thursday, April 19th Please complete Warm up How many quarts is in 13.4 gallons?How many km are in 545.7 mWarm UP

Helfpul Hint #11 mile=5 tomatoes

Helfpul Hint #2Green Bay Packer

Did you also know?King Henry Doesnt Usually Drink Chocolate MilkMemorize this!

4Whiteboard ReviewWhich set of decimals is in order from least to greatest?A. 4.23, 4.12, 4.1, 4.09B. 4.23, 4.09, 4.1, 4.12C. 4.09, 4.1, 4.12, 4.23D. 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. 50xB. 50 xC. x 50 D. x + 50Samuel 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.

D.

Which point represents the ordered pair (5, 3)?

A. MB. NC. OD. P

XXXXXXXXXXXXXXXXXXXEach 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. 10Which 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 bowsB. 4 bowsC. 5 bows D. 6 bows A spool contains 9 meters of ribbon. How many 0.225-meter pieces of ribbon can be cut from the spool?A. 22B. 30C. 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. 12B. 21C. 33D. 54 What is the value of the expression below?

A. 1B. 4C. 17 D. 25Which 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.

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

40D. 80 Which of the following expressions represents the greatest common factor of 84 and 144?A.C.

D.

Find the product?A.C.

D.

Find the quotient?A.C.

D.

Where on the given number line is the fraction located?A. between and C. between and

between and D. between and

Which exponent will make the following equation true?A. x = 1B. x = 2C. 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.

D.

Evaluate the expression , if d = 3.2

A. 11.2B. 5.2C. 4D. 3.43D ShapesPart 1 Vocabulary

PolyhedronA three dimensional figure in which all the surfaces are polygons

FaceA flat surface (polygon) on a solid figure

EdgeThe segment where two faces meetVertexThe point where three or more edges meet

BaseA side of a polygon; a face of a three dimensional figure by which the figure is measured or classified.

Base PrismA polyhedron that has two congruent, polygon shaped bases and other faces that are all rectangles.

Prism Prism named after what kind of BASE it has

PyramidA polyhedron with a polygon base and triangular sides that all meet at a common vertex.

Pyramid Pyramid named after what kind of BASE it has

CylinderA three dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface.

Cylinder ConeA three dimensional figure with one vertex and one circular base.

CubeA rectangular prism with six congruent square faces.

Cube Part 2 Nets

Draw the net for the following 3D Figures: Cylinder Rectangular prismTriangular prismCone Triangular pyramidPart 3 Views of Cubes

Top ViewTop ViewAnother way to think about itIf you were directly above in a helicopter, how would it look?Top View

Think...crushing it downRight

Right Side ViewABC

Another way to think about itIf you check the tallest height of each section as you walk past.ABCWhat 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 ViewFrontFront View

Another way to think about itIf you check the tallest height of each section as you walk past.DBCADBCWhat 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?AFront ViewFront TopRightLeft You Try! Part 4 SurfaceArea

Units Squared

COVER

Use Net or Use Formula

Finding the Areas of each!A: A = 5 2 = 10B: A = 12 5 = 60C: A = 12 2 = 24D: A = 12 5 = 60E: A = 12 2 = 24F: A = 5 2 = 10S = 10 + 60 + 24 + 60 + 24 + 10 = 188Add the areas of each face.The surface area is 188 in2.

12 in12 in30 inWhat is the Surface area?QuestionAnswer54

#1 Try Together!

SA= 2(lw)+2(wh)+2(lh)SA=_____________+_____________+___________SA=_____________+_____________+___________SA=_________

Part 5 Volume

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 cm3.

Units cubedBig B is the Base Fill Use Formula

Volume of Prism and CylindersV=BhB is the area of the base

BASERectanglur 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=r2then multiply by the height of the cylinder

Cube: is a special type of rectangular prism. We can use the formula V=s3 to find the volume, where s=side length

Find the volume of the cylinder.a. 122.46 in3b. 244.92 in3c. 367.38 in3d. 734.76 in3

How much greater is the volume of the large box than the volume of the small box?a. 480 m3b. 420 m3c. 360 m3d. 60 m3Pyramid &Conev=1/3BhWhat does this formula look like?Important ComparisonsA 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

Pyramid

v=1/3Bh B= Base Base= circle Base=r

Cone Find the volume of the cone.a. 37.68 m3b. 452.16 m3c. 113.04 m3d. 169.56 m3

Find the Volume ReviewFORMULA SHEET a=Bh Rectangular Prism:l x wCylinder Prism:How many faces does the rectangular prism have?4567

James has a toy box shaped like a cube. Theheight of the toy box is 3 m. What is the volumeof the toy box?a. 9 m2b. 9 m3c. 27 m2d. 27 m3Which of the nets below could be used to form a pyramid like the one below?

Question

QuestionMatch each situation with the appropriate units of measure.a. 25.3 cm2 _______ volume of a rectangular prismb. 25 m__________ perimeter of a large squarec. 5 mm__________ area of a parallelogramd. 25.64 ft3__________ length of a mosquito

daCbHow do the volumes of prisms and pyramids compare?Chart121123325

Eye ColorNumber of StudentsStudents' Eye Colors

Sheet1BlueGreenBrownHazel21123325

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Eye ColorNumber of StudentsStudents' Eye Colors

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Sheet3