Surface Area of a Sphere Agenda 1. Do Now 2. Quiz Review 3. Orange Activity 4. Exit Ticket Learning Target: I can use the great circle of a sphere to derive.

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Surface Area of a Sphere Agenda 1. Do Now 2. Quiz Review 3. Orange Activity 4. Exit Ticket Learning Target: I can use the great circle of a sphere to derive the formula for the surface area of a sphere. Do Now 5/4: You want to make a paper cover for the ice cream cone below. The paper comes in 100cm square sheets. How many sheet would you need to cover 3 cones? 15cm 35cm

Surface Area of a Sphere Definitions: Sphere - a 3D solid with every point on its surface equidistant from a fixed center point. Great Circle - the largest circle cross- section that can made from a sphere **MUST BE IN NOTES!**

Net of a Sphere Sketch what you think the net of a sphere would look like. What are some examples we could use?

Orange Activity 1. Lay out paper towel. 2. Cut your orange exactly in half to expose a great circle of the orange and find it’s radius. (How can you make sure it is exactly in half?) 3. Estimate how many of these great circles you think you can cover with pieces of your orange’s peel. Trace that many great circles of your orange on the paper towel. 4. Tear off pieces of the orange peel, each about to 1 square inch. Cover the great circle completely with the peel (no gaps or overlaps!) Draw more if needed and record the total number that are covered (use fractions if needed!

Exit Ticket/Debrief What is the surface area of your orange? (r = 3cm) How is the surface area formula of the 3D sphere related to 2D figures? What are some similarities and differences and why? HW Due Fri. 5/8: Exercises #5-13 (Pick 3) + #14, 15 (Extra Credit #16-18)

3 Act Lesson: Intro to Volume Agenda 1. Do Now 2. 3 Act Lesson: Video 3. Water Jug Group Work 4. Debrief Learning Target: I can use 3D models to investigate and explain the properties of volume. DO NOW 5/6: Find the surface area of the shape below. 3 cm 5 cm 12 cm

3 Act Lesson: Water Jug As you watch the video below, write down a question that comes to mind.

Questions

Estimates

Information Needed

Here is what I can give you….

Here is what I can give you…..

Volume of a Prism **MUST BE IN NOTES!** a s h

Debrief/Next Steps What do we still need to know? What strategies can we use to help answer our questions and check our guesses?

Do Now 5/7: Find the surface area of the sphere. 15cm Learning Target: I can use 3D models to investigate and explain the properties of volume. Agenda 1. Do Now 2. 3 Act Lesson: Video 3. Water Jug Group Work 4. Debrief 3 Act Lesson: Intro To Volume

Volume of a Water Jug a s h a = s = n = h =

3 Act Lesson: Intro to Volume Agenda 1. Do Now 2. Volume of Prisms/Cylinders Debrief Learning Target: I can use manipulatives to represent the volume of prisms and calculate cubic unit measurements. DO NOW 5/8: Find the volume of the prism below. 4 in 5 in 16 in

The Sequel How long will the jug take to drain?

The Sequel The rate

The Sequel Why is our answer off? What is different?

Volume of a Prism/Cylinder 1. /prism-volume /prism-volume 2. /other-prism-volume /other-prism-volume

Debrief/Exit Ticket What do we know about volume? What do we know about rate? 3 cm 5 cm 12 cm Exit Ticket: A new jug has the dimensions shown, and is filling at a rate of 24oz per sec. How long would it take to fill?