6th Grade CC Book Geometry

[Pages:5]Mastering Middle School Math

6th Grade Math Common Core Standards

Geometry

6.G

Solve real-world and mathematical problems involving area, surface area, and volume.

1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Find the area of the figures below.

1.)

2.)

8cm

5cm

5in 9in

3.) 3cm

15cm

4.)

5.)

6m

4m

6m

11m

7.)

8.)

6.) 12ft 7ft

9.)

10.) Find the area of the shaded region.

11.) Find the area of the shaded region.

? Mastering Middle School Math

Ch 4 - Geometry

Mastering Middle School Math

6th Grade Math Common Core Standards

Geometry

6.G

Solve real-world and mathematical problems involving area, surface area, and volume.

2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Find the volume of the figures below.

1.)

2.)

3.) 3? in

4.) 3m

2 in 6 in

20? m 2 m

5.)

6.)

15 ft

2? ft

8? ft

? Mastering Middle School Math

Ch 4 - Geometry

Mastering Middle School Math

6th Grade Math Common Core Standards

Geometry

6.G

Solve real-world and mathematical problems involving area, surface area, and volume.

3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Use the figure graphed on the coordinate plane to answer the questions below. 1.) Determine the vertices for the trapezoid STUW.

S = __________ T = __________ U = __________ W = __________ 2.) Find the distance of TU __________ Units

3.) Find the distance of SW __________ Units

Use the figures on the coordinate plane to answer the questions below. 4.) Determine the vertices for the triangle QPR.

Q = __________ P = __________R = __________ 5.) Find the distance of RQ __________ Units 6.) Find the distance of PQ __________ Units 7.) Determine the vertices for the rectangle ABCD.

A = __________ B = __________ C = __________ D = __________ 8.) Find the distance of AB __________ 9.) Find the distance of CB __________

? Mastering Middle School Math

Ch 4 - Geometry

Mastering Middle School Math

6th Grade Math Common Core Standards

Geometry

6.G

Solve real-world and mathematical problems involving area, surface area, and volume.

4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

1. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. (Common Core Standard 7G-4)

Find the circumference.

1.) How much rubber is needed to cover the outer layer of a bicycle tire if the diameter is 15 inches?

2.) Determine the distance a ferris wheel carriage travels in one revolution if the diameter is 20 feet.

3.) How much leather is needed to cover the top of this bar stool if the radius is 12 inches?

4.) How much paint is needed to cover the bottom of the Merry-Go-Round if the radius is 6 feet?

5.) Identify the figure and determine the surface area.

? Mastering Middle School Math

Ch 4 - Geometry

Mastering Middle School Math

Key - Geometry Chapter 4

Page 1 - Area 1.) 20 cm2 2.) 22.5 in2 3.) 45 cm2 4.) 44 m2 5.) 28.26 m2 6.) 84 ft2 7.) 120 ft2 8.) 27 in2 9.) 63 u2 10.) 38 ft2 11.) 4 cm2

Page 2 - Volume 1.) 60 cm3 2.) 360 u3 3.) 39 in3 4.) 123 m3 5.) 328.125 ft3 6.) 1248.75 cm3

Page 3 - Coordinate Plane 1.) S (1,1) T (2,5) U (5,5) W (8,1) 2.) 3 units 3.) 7 units 4.) Q (6,-4) P (2,-4) R (6,2) 5.) 6 units 6.) 4 units 7.) A (-2,1) B (3,1) C (3,4) D (-2,4) 8.) 5 units 9.) 3 units

Page 4 - Circles and Surface Area 1.) 47.1 in 2.) 1256 ft2 3.) 452.16 in2 4.) 113.04 ft2 5.) 72 cm3 and 36cm3

? Mastering Middle School Math

6th Grade Math Common Core Standards

Ch 4 - Geometry

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