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1 THANK YOU FOR YOUR PURCHASE! Te resources included in tis purcase were designed and created by me. I ope tat you find tis resource elpful in your classroom. Please feel free to contact me wit any questions as you implement tis in your class. Maneuvering te Middle is an education blog wit valuable tips for lesson planning, teacer organization, and mat concepts in te middle scool classroom. /ManeuveringTeMiddle maneuveringtemiddle.com PLEASE Print and copy tis resource for your personal classroom use only. Save tis to bot ome and scool computers. Only post tis only for students on a password protected class website. PLEASE DO NOT Reproduce or distribute tis resource to oter colleagues. Post tis on te internet in any form, including classroom/personal websites, network drives, or oter saring websites (i.e. Amazon Inspire, etc). Maneuvering te Middle LLC, 2012-Present Products by Maneuvering te Middle, LLC may be used by te purcaser for teir classroom use only. Tis is a single classroom license only. All rigts reserved. If you wis to sare tis product wit your team or colleagues, you may purcase additional licensing at a discounted rate. PAGE ONE
2 CLIPART AND FONT ATTRIBUTION Maneuvering te Middle resources include clipart and fonts from te following designers. MANEUVERINGTHEMIDDLE.COM PAGE TWO
3 STANDARDS GEOMETRY AND MEASUREMENT TEACHER GUIDE 6.G.1 Find te area of rigt triangles, oter triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and oter sapes; apply tese tecniques in te context of solving real-world and matematical problems. 6.G.2 Find te volume of a rigt rectangular prism wit fractional edge lengts by packing it wit unit cubes of te appropriate unit fraction edge lengts, and sow tat te volume is te same as would be found by multiplying te edge lengts of te prism. Apply te formulas V = l w and V = b to find volumes of rigt rectangular prisms wit fractional edge lengts in te context of solving real-world and matematical problems. 6.G.4 Represent tree-dimensional figures using nets made up of rectangles and triangles, and use te nets to find te surface area of tese figures. Apply tese tecniques in te context of solving realworld and matematical problems. VOCABULARY & KEYWORDS area: congruent: parallelogram: rectangular prism: trapezoid: triangle: quadrilateral: surface area: volume: te covering of a two-dimensional sape aving te same sape and same size a quadrilateral wit opposite sides parallel and opposite sides congruent a tree-dimensional object wit two rectangular bases a quadrilateral wit one set of parallel sides a tree-sided polygon wit a sum of 180 o in te angle measures a four-sided polygon te area of te faces and bases of a tree-dimensional object te amount of space a tree-dimensional object occupies COMMON MISTAKES & MISCONCEPTIONS Students may use te incorrect formula. Students may mistake te eigt of te triangle and te eigt of te parallelogram for te side lengt. Students may mistake te units or overlook any conversions tat migt need to occur.
4 GEOMETRY AND MEASUREMENT WARM -UP Name Date Pd 1. Wat is te area of te trapezoid below? 2. Te rectangular prism below is filled wit cubic units. Eac unit measures 1 4 in3. Wat is te volume of 6 cm te entire rectangular prism? 4 cm 8 cm GEOMETRY AND MEASUREMENT WARM -UP Name Date Pd 1. Wat is te area of te trapezoid below? 2. Te rectangular prism below is filled wit cubic units. Eac unit measures 1 4 in3. Wat is te volume of 6 cm te entire rectangular prism? 4 cm 8 cm
5 GEOMETRY AND MEASUREMENT CHEAT SHEET - A Name Date Pd quadrilaterals (UNITS 2 ) (UNITS 2 ) triangles RECTANGLE A=b TRIANGLE A = b 2 b PARALLELOGRAM A=b b b b b TRAPEZOID 1 A= (b 1 +b 2 ) 2 b 1 b 2 A TRIANGLE is decomposed from a rectangle tat is cut in alf diagonally. Find te area of te base (B). Multiply te area of te base (B) times te eigt of te prism. volume (UNITS 3 ) B THE AMOUNT OF SPACE A 3D OBJECT OCCUPIES scientific notation Surface area THE TOTAL COVERING ON THE FACES OF A 3D OBJECT EX: WRAPPING A PRESENT, A CARDBOARD NET, PAINTING THE SIDES OF A 3D FIGURE Find te area of te various faces and add tem togeter. BASE HEIGHT OF TRIANGLE HEIGHT OF TRIANGLE BASE BASE HEIGHT OF TRIANGLE (UNITS 2 )
6 GEOMETRY AND MEASUREMENT CHEAT SHEET - B Name Date Pd quadrilaterals (UNITS 2 ) (UNITS 2 ) triangles RECTANGLE TRIANGLE b PARALLELOGRAM b b b b TRAPEZOID b 1 b 2 A TRIANGLE is decomposed from a rectangle tat is cut in alf diagonally. Find te area of te base (B). Multiply te area of te base (B) times te eigt of te prism. volume B scientific notation Surface area THE TOTAL COVERING ON THE FACES OF A 3D OBJECT EX: Find te area of te various faces and add tem togeter.
7 GEOMETRY AND MEASUREMENT CHEAT SHEET - C quadrilaterals Name Date Pd triangles volume scientific notation Surface area
8 GEOMETRY TASK CARDS INSTRUCTIONS TO PREP Print task cards on cardstock and cut cards apart. Print and copy a recording seet for eac student. TO USE Students may start wit any card and sould solve te given problem wile sowing work and solutions on teir recording seet. OTHER TIPS Task cards are flexible and can be used for relay races, scoot, in small groups or wit stations. Laminate task cards to protect tem for future use. Task cards can be stored in plastic baggies or on binder rings.
9 GEOMETRY TASK CARDS RECORDING SHEET Name Date Pd Sow your work for eac problem in te correct box
10
11 DETERMINE THE AREA OF THE RECTANGLE in in An international soccer matc takes place on a field wit an area of 9,600 yards 2. If te lengt of te field is 120 yards, ten wat is te widt? 1 2 DETERMINE WHICH OF THE FOLLOWING FIGURES HAVE THE SAME AREA. 2.9 cm 4 cm 2 cm II I 5.8 cm 3.7 cm III cm 4 Maneuvering Joey and er sister are elping remodel teir parents ouse. Tey plan to carpet te bedroom wic is 14 feet by 16 feet. Te carpet is priced at $1.90 per square foot. How muc can tey expect to pay for new carpet? te Middle LLC, 2017
12 A puzzle is sown below. Wat is te area of te saded portions of te puzzle? 3 cm 3 cm Te area of a figure in te sape of a parallelogram is 74.4 m 2. If te eigt of te parallelogram is 6 m, ten wat is te lengt? 5 6 Write a formula to determine te area of te parallelogram. 12 ft 18 ft 7 8 A brigt blue parallelogram is painted on a playground. It as a eigt of 16 feet and a lengt of a 23 feet. If one gallon of paint covers 175 square feet, ten ow many gallons of paint are needed?
13 FIND THE AREA OF THE TRAPEZOID. 5 in 4 in 8 in 14 in Te a rug in te sape of a trapezoid is being designed for a cildren s museum. Te museum would like to provide 75 square feet of a carpeted playing area. Wat is te missing dimension of te trapezoid? 10 ft X ft ft DETERMINE WHICH OF THE FOLLOWING FIGURES HAVE THE SAME AREA. 4 cm II 6.5 cm 5 cm I 8 cm 4 cm 7 cm III 4 cm cm FIND THE AREA OF THE TRAPEZOID. 5 in 3.2 in 6.4 in
14 Te area of te square is 400 in 2. Wat is te area of te triangle? Te triangle below as an area of 54 ft 2. Wat is te eigt of te triangle? 20 in 20 in ft Wat is te area of te triangle below? 6 ¼ m A college pennant flag as a base of 12 inces and a eigt of 30 inces. How many square inces of wall space will you need to ang six pennants? 16 m Maneuvering te Middle LLC, 2017
15 If te small cube measures 1 4 inc on eac side, ten wat is te volume of te tower? If te small cube measures 1 3 inc on eac side, ten wat is te volume of te tower? A rigt rectangular prism as edges measureing 3 4 inc, 1 inc, and 1 4 inc. How many cubes wit side lengts of 1 4 would be needed to fill te prism? A rigt rectangular prism as edges measureing 2 3 inc, 2 inces, and 1 3 inc. How many cubes wit side lengts of 1 3 would be needed to fill te prism? Maneuvering te Middle LLC, 2017
16 A cloting trunk as a base area of 8 square meters. If it olds 12 cubic meters, wat is te eigt of te trunk? A swimming pool olds 528 cubic feet of water. It measures 11 feet by 8 feet. How deep is te swimming pool? If te volume of a rectangular A terrarium measures 9 inces prism is 315 cubic meters and wide by 6 inces long by 10 te area of te base is 45 inces ig. Te terrarium is square meters, ten wat filled alfway wit dirt. How formula could be used to find many cubic inces of dirt will be te eigt of te prism? in te terrarium? Maneuvering te Middle LLC, 2017
17 DETERMINE THE SURFACE AREA OF THE PRISM. 14 cm 6 cm cm DETERMINE THE SURFACE AREA OF THE PRISM. 6 cm 20 cm 10 cm 10 cm 8 cm DETERMINE THE SURFACE AREA OF THE PYRAMID. DETERMINE THE SURFACE AREA OF THE PRISM. 7 m 5 in 8 m Maneuvering te Middle LLC, 2017
18 GEOMETRY AND MEASUREMENT QUICK CHECK Name Date Pd 1. A parallelogram is sown below. Wic equation best represents te formula for te area of te parallelogram? 12 cm 8 cm A. A= 1 B. C. D. 2 (8+12) 10 A= 1 (10+12) 8 A= 12 8 A= Te rectangular prism below is filled wit cubic units. Eac unit measures 1 3 in3. Wat is te volume of te entire rectangular prism? 1. A B C D 2. F G H J 3. A B C D 4. F G H J 5. A B C D 6. F G H J 7. A B C D 8. F G H J 9. A B C D 10. Use te grid below. F. 32 G. 16 H. 8 J A triangle is inscribed in a rectangle, as sown below. Wat is te area of te saded region? 5 cm 3 cm 5 cm 11 cm A. 40 cm 2 C cm 2 B cm 2 D cm 2 4. Te dimensions of te rectangular prism are sown on te net below. Wic of te following is closest to te total surface area of te figure? 2 cm 7 cm 9 cm F. 85 cm 2 G. 126 cm 2 H. 63 cm 2 J. 190 cm 2
19 5. Wat is te area of te figure below? 6. A puzzle is sown below. Wic of te following is te closest to te area of te saded portions of te 15 cm puzzle? 9.5 cm 2 cm A cm 2 B cm 2 F. 18 cm 2 G. 36 cm 2 2 cm C cm 2 D. 210 cm 2 H. 72 cm 2 J. 144 cm 2 7. A cloting trunk measures 2.5 feet wide by 1.5 feet ig by 4 feet long. Wat is te volume of te cloting trunk? 8. Te rectangle below is cut along te dotted line to form a triangle. Wic equation best represents te area of te triangle? 5 in 12 in A. 1,500 ft 3 B. 15 ft 3 C. 60 ft 3 D. 150 ft 3 F. 78 in 2 G. 90 in 2 H. 60 in 2 J. 30 in 2 9. Wat is te total surface area of te triangular prism below? 10. A sketc of a lamp is sown below. Wat is te area of te lamp sade in te sketc? 6 in 8 in 10 in 4 in 6 in A. 204 in 2 B. 180 in 2 C. 240 in 2 D. 276 in 2 13 in
20 GEOMETRY AND MEASUREMENT ANSWER KEYS
21 GEOMETRY AND MEASUREMENT WARM -UP Name Answer Key Date Pd 1. Wat is te area of te trapezoid below? 2. Te rectangular prism below is filled wit cubic 6 cm units. Eac unit measures 1 in on eac side. Wat is 4 te volume of te entire rectangular prism? 4 cm 8 cm 28 cm in3 GEOMETRY AND MEASUREMENT WARM -UP Name Date Pd 1. Wat is te area of te trapezoid below? 2. Te rectangular prism below is filled wit cubic units. Eac unit measures 1 4 in3. Wat is te volume of 6 cm te entire rectangular prism? 4 cm 8.5 cm
22 GEOMETRY TASK CARDS RECORDING SHEET Name Date Pd Sow your work for eac problem in te correct box yards I and II $ cm m A = 18(12) 3 gallons in 2 6 ft I and II 24 in 2
23 in 2 12 ft 50 m 2 1,080 in in3 12 cubes 27 in3 12 cubes meters 6 feet 315 = in cm cm m in 2
24 GEOMETRY AND MEASUREMENT QUICK CHECK Name Answer Key Date Pd 1. A parallelogram is sown below. Wic equation best represents te formula for te area of te parallelogram? 12 cm 8 cm A. A= 1 B. C. D. 2 (8+12) 10 A= 1 (10+12) 8 A= 12 8 A= Te rectangular prism below is filled wit cubic units. Eac unit measures 1 3 in3. Wat is te volume of te entire rectangular prism? 1. A B C D 2. F G H J 3. A B C D 4. F G H J 5. A B C D 6. F G H J 7. A B C D 8. F G H J 9. A B C D 10. Use te grid below. 7 6 F. 32 G. 16 H. 8 J A triangle is inscribed in a rectangle, as sown below. Wat is te area of te saded region? 5 cm 3 cm 5 cm 11 cm A. 40 cm 2 C cm 2 B cm 2 D cm 2 4. Te dimensions of te rectangular prism are sown on te net below. Wic of te following is closest to te total surface area of te figure? 2 cm 7 cm 9 cm F. 85 cm 2 G. 126 cm 2 H. 63 cm 2 J. 190 cm 2
12.2 Investigate Surface Area
Investigating g Geometry ACTIVITY Use before Lesson 12.2 12.2 Investigate Surface Area MATERIALS grap paper scissors tape Q U E S T I O N How can you find te surface area of a polyedron? A net is a pattern
THANK YOU FOR YOUR PURCHASE!
THANK YOU FOR YOUR PURCHASE! The resources included in this purchase were designed and created by me. I hope that you find this resource helpful in your classroom. Please feel free to contact me with any
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