Get Ready for Trigonometry!

Test is next class, if you have an accommodation for extra time plan to stay after school.

Today we practiced skills needed for the next unit. Complete this worksheet for friday as we are going to start our next unit. 

Review Period

Took up the review questions

Test on Wed Oct 8 - students with extra time will be permitted to write until 3:40pm.

Topics:
1. Area, Volume, Surface of regular shapes and composite figures (review your quiz)
2. Optimizing area and perimeter
3. Optimizing surface area and volume for square based prisms and cylinders
4. unit conversions

Format:
Short answer - only final answer will be marked
Long answer - full solution required

More practice for optimization
1. A camp counsellor is fencing off a rectangular play area for young campers. She uses the side of one cabin and is allowed to have a maximum play area of 16m2.

a). What is the equation that you will input into a graphing program to minimize the amount of fencing she will need?
b). What are the dimensions of the play area with minimum perimeter? (use graph to help)
c). Draw a sketch of this play area.

2. A tissue box in the shape of square-based prism is to have a volume of 2500cm3.
a) Determine the dimensions of the tissue box with minimum surface area. (use graph and equations)

b) Draw a sketch of the tissue box.

c) why is this a bad design for a tissue box?

Optimizing shape and review

Today we were in the computer lab using Desmos to help us optimize square-based pyramids and cylinders.

There is a missing graph for question 7 on the review

Let y represent the volume and let x represent the radius

Hwk - Study for the test - complete review sheet for next class

Review & Optimizing Cylinders and Square based Prisms

Test is coming up. 

Try out optimizing square-based prisms and cylinders at home using Desmos. We will be in the computer lab next class to review this topic.

Review for test - Similar questions will be on the test from the review and also the quiz. You will be expected to be able to convert between units as well.

Hwk: work on both sheets - will take up next class. Test on Thursday!

Optimizing Volume and Surface Area

Today we looked at how we can combine volume and surface area problems, where we can use technology to help us optimize.

Key ideas from today:
1. Surface area and volume equations can be rearranged and combined to form an equation that has only two variables.

2. Using technology, we can find a minimum or maximum coordinate that tells us how to optimize the shape

3. We can find the other dimensions by using the equations for volume and surface area

Hwk: Find the other dimensions, geometry assignment was due today. 

Optimizing Perimeter and Area (pt2)

We examined the trial and error approach to find the maximum or minimum area/perimeter for various problems. The trial and error approach can take a long time and you may not get the best answer. We can use technology to help us!

Download the desmos app or use the website version.

Hwk: 7-10

Post-secondary fairs

College fair Oct 20-21

www.ocif.ca

University fair Sept 19-21

www.ouf.ca