MPM1D1 - Grade 9 Academic Math

 

Unit 5 – Geometry

 

Link to Mr. Karo’s Webpage                                                                                                    

Link to RHHS Math Page

Link to ILC Homework Help

 

Link to course units:  Unit 1                Unit 2          Unit 3          Unit 4          Unit 5

 

Upcoming Evaluations:

Evaluation

Topics

Planned Date

Quiz

Definitions and drawings

Dec 19

Quiz

Optimization

Jan 11

Unit Test

All Unit 4

Jan 15

EQAO

All course Curriculum

Jan 21-22

Exams

(DONT FORGET TO BRING YOUR TEXTBOOK!!)

All course Curriculum

Jan 25 @9am

Room 1031

 

Grade 9 Academic:  Unit 5 – Geometry

 

* Note: Days and assessments are approximate and may change due to school activities or class needs.

 

Day

Lesson/Activity

Homework/Assessments

Tue

Dec 11

Learning Goal: I am learning the basic concepts, definitions, marking diagrams and types of angles, polygons, and quadrilaterals. I am investigating the sum of the interior and exterior angles of different polygons.

Success Criteria: I understand the basic concepts, definitions, marking diagrams and types of angles, polygons, and quadrilaterals.

·    Angle Basics Video

·    Introduction to Geometry (6 pages)

·     Investigations in Geometry 

 

Wed

Dec 12

Learning Goal: I am learning about the basic angle theorms (CAT, SAT, OAT, SATT, EAT, SEAT and SAPT), parallel line theorems (PLT-Z, PLT-F, PLT-C) and isosceles triangle theorem (ITT) and how to solve for unknown angles using theses theorems.

Success Criteria: I know the basic angle, parallel line and isosceles triangle theorems and can solve for unknown angles using the theorems.

·     Angles & Degrees + Polygons Video

·    Basic Theorems

·    Parallel Line Theorem

·    Isosceles Triangle Theorem

·     Geometry

Thu

Dec 13

 Learning Goal: I am learning about the Pythagorean Theorem and how to solve for unknown sides of right triangles using the Pythagorean Theorem.

Success Criteria: I know the Pythagorean Theorem and can solve for unknown sides of right triangles using the Pythagorean Theorem.

·     Pythagorean Theorem Cut-outs Activity

·    The Pythagorean Theorem Video

·     Pythagorean Theorem

Fri

Dec 14

Learning Goal: I am learning how to find the perimeter and area of composite shapes.

Success Criteria: I can find the perimeter and area of composite shapes.

·    EQAO Formula Sheet

·    Composite shapes

·    Textbook p. 432 #1-4, 10, 11

Mon

Dec 17

Learning Goal: I am learning how to optimize perimeter and area of rectangles and rectangular areas with three sides.

Success Criteria: I can optimize perimeter and area of rectangles and rectangular areas with three sides.

Optimization: the process of finding values that make a given quantity the greatest/maximum (or the least/minimum) possible amount given certain conditions.

·    Relationships Between Area and Perimeter

·    Maximizing Rectangular Areas With 3 Sides

·    Textbook p. 487 #1, 3, 5, 6, 11, 12

Tue

Dec 18

Learning Goal: I am learning how to find the surface are and volume of rectangular and triangular prisms and pyramids.

Success Criteria: I can find the surface are and volume of rectangular and triangular prisms and pyramids. 

Volume Power Point


Note: You may need to find the slant or height of pyramids. Use the Pythagorean Theorem. The volume of a triangular based pyramid is 1/3 (one third) of the volume of a triangular based prism with the same base and height.

·    Surface Area and Volume of Prisms and Pyramids

·     Textbook p. 441 #1-4, 6-9

 

Wed

Dec 19

Learning Goal: I am learning how to find the surface area and volume of cylinders and cones. I am learning how to find the radius or height given the surface area or volume and one other dimension of a cylinder or cone.

Success Criteria: I can find the surface area and volume of cylinders and cones. I can find the radius or height given the surface area or volume and one other dimension of a cylinder or cone. 

Note: Pyramids and cones and one third of the volume of the prism and cylinder counterparts. A cone is one third of the volume of a cylinder with the same height and radius. A pyramid is one third of the volume of a prism with the same height and base.

·    Surface Area and Volume of Cylinders and Cones

·     Textbook p. 448 6,7 & p. 455 #5,9,13

·    QUIZ - Definitions and drawings, find the missing angles including theorems, composite figures

Thu

Dec 20

Learning Goal: I am learning how to find the surface area or volume of a sphere given the radius/diameter. I am learning how to find the radius/diameter of a sphere given the surface area of volume of a sphere.

Success Criteria: I can find the surface area or volume of a sphere given the radius/diameter. I can find the radius/diameter of a sphere given the surface area of volume of a sphere.

·     Cylinder, Cone and Sphere Videos

·     Surface Area and Volume of Spheres 

Fri

Dec 21

Learning Goal: I am investigating how to optimize square based prisms.

Success Criteria: I can optimize square based prisms.

 

·    Textbook Investigation p. 491 #1-6

·     Textbook p. 495 #1-3, 5, 7

·    Textbook Investigation p. 498 Method 1 (#1-5)

·    Textbook p. 501 #1-3, 7

Sat-Sun

Dec 22 - Jan 6

Winter Break

 

Mon

Jan 7

Learning Goal: I am investigating how to optimize square based prisms.

Success Criteria: I can optimize square based prisms.

 

·    Textbook Investigation p. 491 #1-6

·     Textbook p. 495 #1-3, 5, 7

·    Textbook Investigation p. 498 Method 1 (#1-5)

·    Textbook p. 501 #1-3, 7

Tue

Jan 8

Learning Goal: I am investigating how to optimize the surface area of cylinders.

Success Criteria: I can optimize the surface area of cylinders.

·     Textbook Investigation p. 504

·     Textbook p. 508 #1-3, 5

·    Textbook Investigation p. 510

·     Textbook p. 513 #1-6, 10-12

Wed

Jan 9

 Learning Goal: I am investigating the properties of a line segment joining the midpoints of two sides of a triangle, the relationship between the area of the original triangle and midpoint triangle and the properties of medians.

Success Criteria: I understand the properties of a line segment joining the midpoints of two sides of a triangle, the relationship between the area of the original triangle and midpoint triangle and the properties of medians.

·    Midpoints and Medians in Triangles

·     Midpoint of Quadrilaterals

Thu

Jan 10

Learning Goal: I am investigating the properties of quadrilaterals and parallelograms.

Success Criteria: I understand the properties of quadrilaterals and parallelograms.

 

·    Midpoints and Medians in Triangles

·    Midpoint of Quadrilaterals

·     Textbook p. 398 #1-3, 8 & p. 405 #2,3,5

Fri

Jan 11

Learning Goal: All of the previous goals in this unit.

Success Criteria: All of the previous success criteria in the unit.

·     Review 

·     QUIZ - Optimization

Mon

Jan 14

Learning Goal: All of the previous goals in this unit.

Success Criteria: All of the previous success criteria in the unit.

·     Review 

 

Tue

Jan 15

 Learning Goal: All of the previous goals in this unit.

Success Criteria: All of the previous success criteria in the unit.

·     Test 

 

Wed-Fri

Jan 16-18

Learning Goal: EQAO and Exam Review

·     Review 

Eqao Geometry Review

EQAO Study Guide

Mon-Tue

Jan 21-22

EQAO

 

Wed

Jan 23

Learning Goal: Exam Review

·     Review 

 

Thu-

Jan 24-30

Exams