Lesson Menu Main Idea Key Concept:Surface Area of a Cylinder Example 1:Surface Area of a Cylinder Example 2:Real-World Example.

Slides:

Advertisements

Similar presentations

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–9) Main Idea Key Concept: Volume of a Cylinder Example 1:Find the Volume of a Cylinder Example.

Advertisements

Do Now 1.) 2). 5/15/ C Surface Area of Cylinders.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–1) Main Idea Key Concept: Area of a Triangle Example 1:Find the Area of a Triangle Key Concept:

Lesson 6 Menu Five-Minute Check (over Lesson 7-5) Main Idea and Vocabulary Targeted TEKS Key Concept: Volume of a Pyramid Example 1:Find the Volume of.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) Main Idea Key Concept: Surface Area of a Cylinder Example 1:Find the Surface Area of a.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–5) CCSS Then/Now New Vocabulary Key Concept: Surface Area of a Sphere Example 1: Surface.

Surface area of prisms, cylinders, cones, and pyramids

Main Idea and New Vocabulary

Lesson Menu Main Idea and New Vocabulary Key Concept:Surface Area of a Prism Example 1:Surface Area of a Prism Example 2:Surface Area of a Prism Key Concept:Surface.

Example 1: Convert Area Measurements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–2) Main Idea and Vocabulary Key Concept: Circumference of a Circle Example 1:Real-World Example:

Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.

Math Circumference of Circles & Area of Circles. Vocabulary A circle is the set of all points in a plane that are the same distance from a given point,

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–5) CCSS Then/Now New Vocabulary Key Concept: Surface Area of a Sphere Example 1: Surface.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–1) CCSS Then/Now New Vocabulary Key Concept: Lateral Area of a Prism Example 1:Lateral Area.

Lesson 1 MI/Vocab circle center radius diameter circumference pi Find the circumference and area of circles.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–6) Then/Now New Vocabulary Key Concept: Circumference of a Circle Example 1: Find the Circumference.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept:

Lesson 7-2 Circumference and Area of Circles. Definitions Circle - A set of points in a plane that are the same distance away from a given point in the.

Lesson 4 Menu 1.Find the surface area of a cylinder with r = 10 and h = 6. Round to the nearest tenth. 2.Find the surface area of a cylinder with r = 4.5.

Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–6) Then/Now New Vocabulary Key Concept:Lateral and Surface Area of Pyramids Example 1: Surface.

Lesson 3 MI/Vocab composite figure Find the area of composite figures.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept: Volume.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) CCSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–1) Then/Now New Vocabulary Key Concept: Lateral Area of a Prism Example 1:Lateral Area of.

Find the surface area of the cone. Round to the nearest tenth.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–2) CCSS Then/Now New Vocabulary Key Concept: Lateral Area of a Regular Pyramid Example 1:Lateral.

Splash Screen Example 9-2b Objective Find the circumference of circles.

Warm-Up Find the area: Circumference and Area Circles.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–7) Then/Now New Vocabulary Key Concept: Area of a Circle Example 1: Find Areas of Circles.

Surface Area of Prisms and Cylinders 8-7 A. S = 2r 2 + 2rh = 2(4 2 ) + 2(4)(6) = 80 in 2  in 2 B. S = 2B + Ph = 204 ft 2 = 2( 8 3) + (18)(10)

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) NGSSS Then/Now Key Concept: Volume of a Pyramid Example 1: Volume of a Pyramid Key Concept:

Objective: To find the Volume & Surface Area of cones and cylinders.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept: Volume.

Lesson Menu Main Idea and New Vocabulary Example 1:Find Squares of Numbers Example 2:Find Squares of Numbers Key Concept:Square Root Example 3:Find Square.

Lesson 3 Menu 1.Find the lateral area of the prism shown. 2.Find the surface area of the prism shown. Round to the nearest tenth if necessary. 3.Find the.

Lesson Menu Main Idea and New Vocabulary Example 1:Estimate a Square Root Example 2:Real-World Example.

Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained.

Surface Areas of Prisms and Cylinders LESSON 12–2.

Splash Screen. Then/Now You found areas of polygons. Find lateral areas and surface areas of prisms. Find lateral areas and surface areas of cylinders.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–2) Main Idea and Vocabulary Key Concept: Area of a Parallelogram Example 1:Find Areas of.

Surface Areas and Volumes of Spheres LESSON 12–6.

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Main Idea and New Vocabulary Key Concept: Volume of a Pyramid

Surface Areas of Prisms and Cylinders

Main Idea and New Vocabulary Key Concept: Area Formulas

Main Idea and New Vocabulary Key Concept: Circumference of a Circle

Find lateral areas and surface areas of prisms.

Main Idea and New Vocabulary Key Concept: Surface Area of a Pyramid

Find the volumes of cones, and spheres.

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Insert Lesson Title Here

Main Idea and New Vocabulary Key Concept: Area of a Circle

Main Idea and New Vocabulary Key Concept: Volume of a Cylinder

Main Idea and New Vocabulary Key Concept: Volume of a Prism

Surface Areas of Prisms and Cylinders

Main Idea and New Vocabulary Key Concept: Surface Area of a Prism

Chapter 10 Extension Objective: To find missing dimensions

Main Idea and New Vocabulary

Objective: To find…. Find volumes of prisms and cylinders.

Five-Minute Check (over Lesson 11–2) Mathematical Practices Then/Now

Presentation transcript:

Lesson Menu Main Idea Key Concept:Surface Area of a Cylinder Example 1:Surface Area of a Cylinder Example 2:Real-World Example

Main Idea/Vocabulary Find the surface area of a cylinder.

Key Concept

Example 1 Surface Area of a Cylinder Find the surface area of the cylinder. Round to the nearest tenth. S.A.= 2  rh + 2  r 2 Surface area of a cylinder = 2  (3)(6) + 2  (3) 2 Replace r with 3 and h with 6.  Simplify. Answer:The surface area of the cylinder is about square centimeters.

Example 1 CYP A.3,386.6 cm 2 B cm 2 C cm 2 D cm 2 Find the surface area of the cylinder. Round to the nearest tenth.

Example 2 POOLS The Hamid family installed a circular pool in their backyard. They need to put a fence that is 9 feet high around the pool. The distance from the center of the pool to the edge of the fence is 28 feet. How much fencing is needed for the fence? S.A.= 2  rhCurved surface of a cylinder = 2  (28)(9)Replace r with 28 and h with 9.  1,583.4 Simplify. Answer:They will need about 1,583.4 square feet of fencing.

Example 2 CYP A.176,714.6 ft 2 B.37,227.9 ft 2 C.36,285.4 ft 2 D.1,885.0 ft 2 ICE SKATING The city of Woodbury is building an ice rink and they need to put a barrier around the circle of ice. The barrier will be 4 feet high. The distance from the center of the ice to the barrier is 75 feet. What is the surface area for a barrier with these dimensions?