Surface area
- 2. Common Core Georgia Performance Standards MCC6.G.4. Represent 3-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. www.georgiastandards.org
- 3. Prior-knowledge… Solid classification (naming the solid) Views: Top/Bottom, Front/Back, Sides Base, faces
- 4. Quick Area Review… Rectangle Formula: A = (b ∙ h) Triangle 8 in 3 in 5 cm 4 cm Substitute: A = (8 in ∙ 3 in) Multiply: A = 24 in2 Divide by 2: A = 10 cm2
- 5. What is Surface AREA? The of the 2-dimensional polygons on the surface of a 3-d solid. (Think of wrapping a box) ***The sum of all areas.
- 6. Surface Area of Rectangular Prims Top: A = b ∙ h A = 10 in ∙ 4 in A = 40 in2 10 in 4 in Calculate the area of the top face: 5 in Multiply the area of the Top face times 2 to get the total surface area of the top and the bottom faces. A = 80 in2
- 7. Top/Bottom: A = 10 in ∙ 4 in A = 40 in2 A = 40 ∙ 2 A = 80 in2 10 in 4 in 5 in Rectangular Prism cont. Front/Back: A = 10 in ∙ 5 in A = 50 in2 A = 50 ∙ 2 A = 100 in2 Side/Side: A = 4 in ∙ 5 in A = 20 in2 A = 20 ∙ 2 A = 40 in2 Sum all areas 80 + 100 + 40 SA = 220 in2
- 8. A = 81 A = 81 A = 63A = 63 A = 63 A = 63 Method 1: Add the area of each face to calculate the nets total surface area. Surface Area of a Rectangular Prism using a net… http://www.korthalsaltes.com/gif1/rectangular-prism-cuboid-color.gif
- 9. 9 cm 7 cm 9 cm Orange: Side/Side A = b ∙ h A = 9cm ∙ 7cm A = 63cm2 ∙ 2 SA = 126cm2 Yellow: Top/Bottom A = b ∙ h A = 9cm ∙ 7cm A = 63cm2 ∙ 2 SA = 126cm2 Surface Area using a net… Method 2: Area of each pair of faces Blue: Front/Back A = b ∙ h A = 9cm ∙ 9cm A = 81cm2 ∙ 2 SA = 162cm2
- 10. 9 cm 9 cm 7 cm Calculate the Surface Area cont. Sum: SA = 126 + 126 + 162 SA = 414 cm2 http://www.korthalsaltes.com/gif1/rectangular-prism-cuboid-color.gif
- 11. Surface Area of a Cube… A cube has 6 equal faces. 4 in SA = 6s2 SA = 6(4in) 2 SA = 6(16in2) SA = 96in2 SA = 6(b ∙ h) SA = 6(4in ∙ 4in) SA = 6(16in2) SA = 96in2 OR
- 12. Surface Area of a Rectangular Pyramid using a net… 3mm 4mm Image retrieved from http://www.math-salamanders.com/images/math-shapes-square-based-pyramid-net-2.gif
- 13. Step 3: Sum all areas A = 6mm2 6mm2 6mm2 6mm2 + 9mm2 SA = 33mm2 Surface Area of a Rectangular Pyramid using a net… Image retrieved from http://www.math-salamanders.com/images/math-shapes-square-based-pyramid-net-2.gif
- 14. Time to Practice! Class: IXL AAA Math Maisonet Math Individual: Study Island (10 - SA questions)
- 15. Final Assignment Part 1: With a partner, you will create a Tag Cloud to represent the vocabulary learned using at least 2 of the following: websites, videos, or interactive practice. Minimum of 5 vocabulary words. Part 2: With your partner, create 3- 4 surface area problems. The problems must include the work and the final answer. Must have a combination of problems consisting of nets, solids, and word problems.
- 16. Rubric Objective Needs Improvement 3 points Meets Expectations 4 points Excellent 5 points Tag Cloud Less than 5 vocabulary words used; most words relate to surface area. 5 vocabulary words used; all words relate to surface area. More than 5 words used; all words relate to surface area. Tag Cloud 1 out of 3 formats used: website, video, or interactive practice 2 out of 3 formats used: website, video or interactive practice 3 out of 3 formats used: website, video, and interactive practice Written Problems Created less than 3 surface area problems. Created 3- 4 surface area problems. Created more than 4 surface area problems Written Problems Created problems using only 1 format: net, solid, or word problem. Created problems using only 2 formats: net, solid, or word problem. Created problems using all 3 formats: net, solid, and word problem. Evidence of understanding Final project reflects little evidence of understanding of surface area. Final project reflects understanding of surface area. Final project reflects understanding of surface area. Total