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

(Dec 17 – Dec 21)

Wednesday, January 9

UNIT Test #5

Volume/Surface Area

Click here for formulas

Friday, January 11

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

Mon Dec 17

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)

Tue Dec 18

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

Wed Dec 19

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

Thu Dec 20

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

Fri Dec 21

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

 

 

Dec 22 –

Jan 6

HOLIDAYS!!!

 

HOPE YOU HAVE A SAFE AND RESTFUL BREAK!!

Mon Jan 7 ◊

Welcome Back Review

 

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

Tue Jan 8

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.

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

Text:  p. 471 #3 – 11, 13, 14, 17

 

p. 465 #6 – 17, 19

 

C.P.  p. 82 - 83

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

 

BEGIN REVIEWING FOR TEST

Wed Jan 9

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

Thu Jan 10

 

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

Fri Jan 11

UNIT TEST #5

 

UNIT TEST #5

Mon Jan 14

Guidance Presentation – Second Half

Review for Summative

See End of Year

 

Tue Jan 15

Review for Summative

Evaluations Link above

 

Wed Jan 16

SUMMATIVE – DAY 1

For assigned work

 

Thu Jan 17

SUMMATIVE – DAY 2

 

 

Fri Jan 18

EQAO/Exam Review

 

 

Mon Jan 21

EQAO – DAY 1

See End of Year

 

Tue Jan 22

EQAO – DAY 2

Evaluations Link above

 

Wed Jan 23

EQAO/Exam Review

For assigned work

 

Jan 24 – Jan 30

EXAMS!!!

 

GOOD LUCK AND STUDY HARD!!!