Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can...
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Transcript of Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can...
![Page 1: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/1.jpg)
Unit 3: Volume and
Optimization
![Page 2: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/2.jpg)
MFM1P
Learning Goals:
I can determine the volume of prisms I can determine the volume of
cylinders I can use Pythagorean Theorem to
find missing measurements required for calculating volume
Lesson 1: Volume of Prisms and Cylinders
![Page 3: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/3.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Prism: Has two identical ends and two flat sides
![Page 4: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/4.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Pyramid: Has a polygon base and triangular sides that meet at a point
![Page 5: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/5.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
To calculate the volume of a prism or cylinder, imagine repeatedly adding the base area of the shape.
![Page 6: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/6.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Volume of a prism or a cylinder = area of base height
![Page 7: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/7.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Step one: Calculate the area of the baseStep two: Multiply the base area by the height
4 cm
5 cm
6 cm
![Page 8: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/8.jpg)
MFM1PLesson 1: Volume of Prisms and Cylinders
EQAO Formula Sheet
![Page 9: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/9.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
EQAO Formula Sheet
![Page 10: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/10.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
![Page 11: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/11.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
![Page 12: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/12.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
![Page 13: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/13.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
![Page 14: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/14.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
How do you calculate the area of a triangle? (This is important to know if you have a triangular based prism)
![Page 15: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/15.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Determine the area of this triangle
6 cm
10 cm
![Page 16: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/16.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Determine the volume of this triangular prism
![Page 17: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/17.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Determine the volume of this cylinder
![Page 18: Unit 3: Volume and Optimization. MFM1P Learning Goals: I can determine the volume of prisms I can determine the volume of cylinders I can use Pythagorean.](https://reader034.fdocuments.net/reader034/viewer/2022042717/56649d015503460f949d3ef5/html5/thumbnails/18.jpg)
MFM1P
Lesson 1: Volume of Prisms and Cylinders
Homework
Pg. 23 # 1- 8