MPM1D2/G - Grade 9 Gifted Math

 

Link to Mrs. Marsella’s Webpage                                                 Link to RHHS Math Page

 

Link to Previous Homework:  Unit 1         Unit 2          Unit 3          Unit 4          Unit 5    

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz

Area/Surface Area/Volume of all figures excluding Spheres

(May 23 – May 29)

Friday, June 1

UNIT Test #5

Volume/Surface Area

Click here for formulas

Tuesday, June 5

END OF YEAR EVALUATIONS

Click here for the end of year info

 

 

 

 

Unit 6:  Measurement

Date

Topic/Learning goals

Video Resources

(Watch by given date)

Daily Work/Assignments

Wed May 23

Area of Composite Figures

To develop a formula for the area of a regular polygon.  Use area formulas to determine composite areas.

Area of a regular polygon

 

Area of Composite Figures

Text: p. 405 #1 – 3, 5, 7ab, 8, 11 – 13, 22, 23

(Note:  Area for 7b is 12.4 cm2)

Thu May 24

 

Marsella – In Library

Surface Area of Prisms and Cylinders

We will develop the formulas for surface area and use them to solve problems involving the surface area of prisms and cylinders.

Surface Area of Rectangular Prisms

 

Surface Area of a Cylinder

Text:  p. 433 #2 – 7, 11

Fri May 25

Surface Area of Pyramids and Cones

To define each figure and develop formulas for their surface areas.

Surface Area of a Pyramid Formula

Surface Area of a Pyramid Example

 

 

Surface Area of a Cone Formula

Surface Area of a Cone

Text:  p. 439 #2 – 4, 7, 10, 11

Mon May 28

Volume of Prisms & Cylinders

Solve problems involving the volume of prisms and cylinders.

Volume of a Prism

 

Volume of a Cylinder (Please don’t use 3.14 though, use π button)

 

p. 413 #1- 4, 7 – 10, 12, 15, 16

Tue May 29

Volume of Pyramids & Cones

Solve problems involving the volume of pyramids and cones.

 

Volume of a Pyramid

 

Volume of a Cone

 

Mixture of Surface Area and Volume formulas

p. 421 #1 – 3, 5, 7 – 9 , 11, 13, 14

 

 

Wed May 30

Volume and Surface Area of Spheres

Solve problems involving surface area and volume of spheres.

Volume of a Sphere demonstration

 

Volume of a Sphere animation

 

 

A demonstration of why the surface area formula works!

 

Surface Area of a Sphere Formulas – detailed derivation

p. 427 #2, 4 – 6, 11, 12, 15 – 17

p. 445 #3, 4, 8, 10 – 12

Thu May 31

 

 

 

Quiz

 

                

Best Design for Rectangular Prisms

Given a fixed volume, we will determine dimensions that will create a minimum surface area.  Given a fixed surface area, we will determine dimensions that will create a maximum volume.

 

Text:  p. 471 #3 – 11, 13, 14, 17

Fri June 1

 

Best Design for Cylinders

We will determine the best design to either maximize the volume or minimize the surface area of a cylinder.

 

Best Design in 2 Dimensions

 

Optimization in 2 dimensions

p. 465 #6 – 17, 19

 

C.P.  p. 82 - 83

#2, 3, 5, 6, 8, 11, 12

 

BEGIN REVIEWING FOR TEST

Mon Jun 4

Test Review

 

Text: p. 448 – 455 #1 – 17

       (#3a – apothem is 3.62)

         p. 481 #1 – 7

Click here for extra problem solving questions!

Click here for solutions to  extra problem solving questions

Tue Jun 5

UNIT TEST #5

 

UNIT TEST #5

Wed Jun 6

Review for Summative

See End of Year

 

Thu Jun 7

Review for Summative

Evaluations Link above

 

Fri Jun 8

CARNIVAL

Review for Summative

For assigned work

 

Mon Jun 11

SUMMATIVE – DAY 1

 

Tue Jun 12

SUMMATIVE – DAY 2

 

 

Wed Jun 13

EQAO/Exam Review

See End of Year

 

Thu Jun 14

EQAO/Exam Review

Evaluations Link above

 

Fri Jun 15

EQAO/Exam Review

For assigned work

 

Mon Jun 18

EQAO – ALL DAY!!

 

 

Tue Jun 19

Exam Review