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Unit 3 Geometry

- The document covers unit 3 on geometry which includes perimeter, area, surface area, and volume calculations of polygons and 3D shapes. It also reviews metric conversions. - Students will have an in-class project to present the following week assessing these topics. - Today's task focuses on perimeter calculations, specifically the circumference of circles using formulas involving the diameter and radius. Proofs and examples are provided.

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Bhagyashri Rqut
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66 views21 pages

Unit 3 Geometry

- The document covers unit 3 on geometry which includes perimeter, area, surface area, and volume calculations of polygons and 3D shapes. It also reviews metric conversions. - Students will have an in-class project to present the following week assessing these topics. - Today's task focuses on perimeter calculations, specifically the circumference of circles using formulas involving the diameter and radius. Proofs and examples are provided.

Uploaded by

Bhagyashri Rqut
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Unit 3: Geometry

What are we covering?

- Perimeter, Area and Surface area of simple and complex


polygons (shapes)
- Volume
- Basic Metric Conversion Review
- Square Metric Conversion
- Cubic Metric Conversion
What is the Assessment

In class project- to be presented on next week!


Today’s Task

Perimeter- Specifically, circumference


Circle Language Recap
- Circumference

Perimeter of a circle

- Diameter

A straight line passing through the center of a circle

- Radius

A line segment going from the center of a circle to the


perimeter (half the diameter)
Proving Pi

- What do we already know about pi?


- What does the value represent?
Proof

- Measure the diameter of your circle


- Cut your piece of thread/ribbon to the length of your
diameter
- Listen for further instruction
Circumference of a Circle
- We can use the circumference formula when we
want to find the perimeter of a whole circle
Arc Length
- Arc length is a portion of the circumference of a circle

- To find it we have to find the circumference and multiply


it by the fraction of 360 degrees our arc represents

- You need the radius and the angle measurement to find


an arc length
Basic Perimeter Formula List
Perimeter Solutions
Further Perimeter Practice
Textbook PDF

Page 152 - Question 4-11

Solutions: Page 534 (Exercise 7B.2)


Metric Conversion Practice
Metric Conversion Solutions
SURFACE AREA
Surface Area
- The total area of all sides (or faces) of a 3D shape
- Usually calculated by finding the area of all sides and adding them together
Shapes to know!

- Rectangular
Rectangular Prism
When is this calculation important?
Surface Area Formulas

Cylinder

Cone

Sphere

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