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Comprehensive 8th Grade Math Review: Comparing, Ordering, and Volume Calculations

This benchmark review covers essential 8th grade math topics, including comparing and ordering numbers (from least to greatest), working with rational numbers, and mastering volume calculations. Learn to arrange negative and positive numbers, find common denominators for fractions, and calculate the volume of various solids. Explore concepts such as surface area, dimensional changes, and understanding geometric shapes. This resource is designed to enhance students' understanding and prepare them for advanced math applications.

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Comprehensive 8th Grade Math Review: Comparing, Ordering, and Volume Calculations

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  1. 8th Math 1st benchmark Review By ShahzadiAlmas

  2. Compare and Order • Coldest to warmest • Ascending order It means least to greatest. • Warmest to coldest • Descending order It means greatest to least. • Arrange: -12, -10, 1, -2, -18 • If you have all fraction, in order to compare just find out common denominator. • 7/9 closest to .50 or 1.00 • -1/2 > -2/3 • 1 and 1/3 = 4/3

  3. Rational Numbers • Add: Credit, Gain, Total • Subtract: Spent, Remaining balance, difference 0.00174 – 0.00157 = ? Above sea level-below sea level 1235 – (- 34) • Multiply and divide: • Make a T-chart • Set up as ratio • Hours lessons ½ 1 15 X

  4. Square Root • Square root of 28: • Square root of 205: Between…….and…… • Square root of 25/49: • Square root of 18: 3 4 5 6

  5. Top, Front, Side view • What is the shape of cone after cutting half horizontally and vertically? • solid

  6. Volume How many small boxes can fit into the large box? Expression. What is height? If volume is 140. • Write expression to find out the volume of cone 5 times, with radius of 2 and height is 3? • 1st rectangular prism with dimension 4 by 3 by5, and 2nd rectangular prism with dimension 3 by 3 by 5. Who has greater volume? • What is the volume of square pyramid if area of the base if 36 and height is 7?

  7. Area What is the area of new wall?

  8. Surface Area • Label of 10 cans if radius is 4 and height is 7. • How much paper is needed to decorate the box, if l=6,w=2 and h=8 ? • If perimeter is 40 and height is 5, what is the lateral surface area of pyramid? • Surface area of cane if radius is 2 and h=3.5? Expression only. • Surface area of box with no lid, l=10, w=5, h=15 Surface area: 12 8 5

  9. Dimensional changes • If each side of triangle is 2.5, what is the perimeter if each side is double? • If each side of 1st cube is a and 2nd cube is 2a, how many times surface area is bigger? • If each side of photographed measured 6 by 12 is reduced to half, what is the area of new photograph? • Dimension of triangular prism is doubled, multiply by what …………..? • If scale factor is half, volume is reduced by…………… • V = 2400, and scale factor is half, what is new volume?

  10. Coordinate plane

  11. GOOD LUCK

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