MATH Incoming 8th Grade

Name:MATHthIncoming 8 gradeSummer 2020PacketEverything is due on the first week of class.Project must be summitted as a separate document (READ the instructions on the lastpage)

8th grade Summer PackName:1.2.3.1

4.5.2

6.7.8.3

9.10.4

11.12.13.5

14.15.6

16.17.18.7

19.20.21.22. Solve:a) 51 – 78 b) -17 24 c) 20 – 40 d) 25 -14 8

Follow the Order of Operations (PEMDAS) when solving the following:9

Solve the following additions:Solve the following multiplications and divisions:10

1.2.3.4.5.11

GeometryCIRCLESANGLES12

TRIANGLESDetermine if the following triangles are possible. Yes or No?1) A triangle with the angles: 96 , 34 and 25 2) A triangle with the angles: 25 , 145 and 10 3) A triangle with the angles: 129 , 4 and 41 4) A triangle with the sides: 6mm, 7mm and 5mm5) A triangle with the sides: 7in, 7in and 10in6) A triangle with the sides: 10cm, 10cm and 10cmDetermine if the following are unique triangles. If it’s not, explain why.1) Angle B 50 , AC 3 cm, BC 5 cm.2) Angle A 40 , Angle B 60 , Angle C 80 3) AB 4 cm, BC 3 cm, Angle B 30 .3D SHAPESStep 1: Identify all the faces including the base. There is one hexagon (base) and triangles.Step 2: Triangles: Each triangle has a height of 5 ft. and a base of ft.The area of each triangle is: ft2. The area of all triangles together is ft2.Step 3: Hexagon: To calculate the area of a hexagon, this shape can be divided into 6 small triangles.The area of each triangle that makes up the hexagon is calculated bymultiplying base times height and dividing the product by 2. After you have thearea of one small triangle, multiply that area by 6. Hexagon area ft23 ftTOTAL AREA ft23.5 ft13

PROJECT: BUILD A PYRAMIDBUILD A PYRAMID AND CALCULATE ITS SURFACE AREA1.Look up different pyramids. Decide on a pyramid such as a triangular pyramid, square pyramid, pentagonalpyramid, hexagonal pyramid, etc.2.Build a pyramid out of paper or cardboard. You may look for printable nets or draw your own, and build it (20points)3.Cover page: Title your document with the name of the pyramid (10 points)4.Description: Name the pyramid AND describe it (as how many faces it has, and the shape of its base.) (6 points)5.Add a picture of your pyramid and label its dimensions (8 points) Place a ruler from the base to the apex of thepyramid when taking the picture, this will help me check your measurements (6 points). Dimensions may includedecimals or fractions. When working with decimals, round your values to the nearest hundredth. When workingwith fractions, simplify all fractions.6.Calculate the surface area of the pyramid, showing step by step calculations. (15 points)7.Investigate how to calculate the volume of the chosen pyramid. Show step by step calculations and the finalresult. (15 points)8.REMEMBER TO INCLUDE UNITS OF MEASUREMENT ON ALL LABELS AND FINAL ANSWERS (10 points)9.Be neat (10 points)14

Jun 08, 2021 · pyramid, hexagonal pyramid, etc. 2. Build a pyramid out of paper or cardboard. You may look for printable nets or draw your own, and build it (20 points) 3. Cover page: Title your document with the name of the pyramid (10 points) 4. Description: Name the pyramid AND describe it (as how man