MPM2D1 - Grade 10 Academic Math

 

Unit 2 – Analytic 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

Suggested Date

Quiz #4

Quiz – Midpoint & Eq. of a Circle

Oct 5

Quiz #5

Analytic Geometry of Triangles

Oct 11

Unit Test #2

All of Unit #2

Oct 18

 

 

Unit 2:  Analytic Geometry

Date

Topic/Learning goals

Daily Work/Assignments

Fri

Sep 28

Distance to the origin

To determine a formula for finding the distance between the origin and any other point on the Cartesian plane

 

Distance to Origin PowerPoint

p. 151 #2, 3, 6 – 11, 14

CP p. 24

 

 

 

 

Mon

Oct 1

Distance between two points

To determine a formula for finding the distance between any two points on the Cartesian plane

 

Distance between Two Points PowerPoint

p. 162 #2a-f, 3, 4, 5, 8, 11

CP p. 25

Tue

Oct 2

Midpoint of a line segment

We will discover the formula for finding the midpoint of a line segment

 

Notes with solutions and HW

 

Midpoint PowerPoint

 

p. 173 #2acegh, 4, 5, 8, 12, 13, 17

Wed

Oct 3

The equation of a circle

To determine the form for the equation of a circle centred at the origin

Introduction to Triangle Centres

We will define the lines and centres of a triangle (i.e. medians, altitudes, centroid, etc.)

Equation of a Circle PowerPoint

 

p. 155 #1, 2, 4, 5, 9, 11, 12, 15

CP p. 26 – 27

 

 

p. 34 #1 – 4

Thu

Oct 4

Analytic Geometry Toolbox

Medians, Altitudes and Perpendicular Bisector

To determine the equation of the lines that contain each type of line segment

 

p. 194 #1, 2, 6, 8

Fri

Oct 5

Quiz – Midpoint & Eq. of a Circle

Cartesian Medians and Centroid

We will discover how to find the point of intersection of each type of line

 

Course Pack with Partial notes. Click here

 

Use the following web page to check your Centroid/Orthocentre/Circumcentre calculation: Triangle Centres Calculator.

CP p. 36-40

Mon

Oct 8

Happy Thanksgiving

Tue

Oct 9

Cartesian Altitudes and Orthocentre

We will discover how to find the point of intersection of each type of line.

Cartesian Perpendicular Bisectors and Circumcentre

We will discover how to find the point of intersection of each type of line

 

Course Pack with Partial notes. Click here.

 

p. 195 #12 – 17

CP p. 41-45

 

 

 

CP p. 46-50

Wed

Oct 10

Determining the length of an altitude

We will use our previous skills to determine a method for finding the length of an altitude

 

Short review for quiz with partial solutions

 

Finding the Length of an Altitude - Tutorial

 

Class notes so far

p. 195 #4, 7, 9, 11

Thu

Oct 11

Quiz - Analytic Geometry of Triangles

Summary of Cartesian Triangles

To practice our skills with medians, altitudes, and perpendicular bisectors

 

Here is a link to a great website that shows the constructions of each centre

 

Review PowerPoint

CP p.54-55

Fri

Oct 12

Properties of Quadrilaterals

We will review types of quadrilaterals and their properties

 

Review of Quadrilaterals

 

p. 37 #1 – 7

p. 39 #1 – 6

p. 182 #2, 3, 5 – 10

Mon

Oct 15

Classifying shapes on the plane

Learn how to use length of line segments and slope to determine the type of shape given its vertices

Apply our skills with classifying shapes to solve problems

Properties of geometric figures PowerPoint

 

p. 183 #11odd, 13, 17a, 18, 20

 

CP. p. 57

Tue

Oct 16

Verifying Geometric Properties

To prove properties of geometric figures algebraically

 

Verifying Geometric Properties PowerPoint

 

Verifying Geometric Figures Group Activity - Solutions

p. 196 #22

p. 203 #3 – 7, 11

Wed

Oct 17

Test Review

We will practice our skills and be successful writing the test

 

Test Outline

 

CP p.  58 – 60

Extra Review:  p. 209 #7 – 23

Thu

Oct 18

Unit Test #2

Unit Test #2