MPM2DG1 - Grade 10 Gifted/Enriched Math

 

Unit 2 – Number Theory and 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

Number Theory

Mar 9

Quiz #5

Analytic Geometry

Mar 28

Unit Test #2

All of Unit #2

Apr 4

 

 

Unit 2:  Analytic Geometry

Date

Topic/Learning goals

Daily Work/Assignments

Mon

Mar 5

Primes and Composites, Prime Number Decomposition (PND)

 

Handout: 1-6

 

 

Tue

Mar 6

GCD and LCM

 

Handout (GCD and the LCM): 1-5

 

 

Wed

Mar 7

Divisor Counting - Intro

 

Handout (GCD and the LCM): 1-5

 

 

Thu

Mar 8

Divisor Counting – Part 2

 

Properties of Triangles and Quadrilaterals +Triangle Centers

 

Complete properties and definitions of triangles and quadrilaterals

 

 

 

 

Fri

Mar 9

Quiz

 

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

 

Review power points

Read Sections 2.2 and 2.4 in textbook

 

 

 

Mon-Fri

Mar 12-16

March Break!

No Classes

Enjoy your break!

Mon

Mar 19

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

Handout fining distance questions

Textbook: p. 79 #20-23

Tue

Mar 20

The equation of a circle centred at origin and at (h,k)

To determine the form for the equation of a circle

 

Equation of a Circle PowerPoint

 

Wed

Mar 21

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

 

Thu

Mar 22

Finding Centre of Circle; Tangent Lines

 

 

Circles Handout:

P. 42-43

P.44 #1-3, 10, 13, 19, 20

P.45 #1-3, 5-6, 7, 8

Fri

Mar 23

Problem Solving + Distance from a point to a line

 

Click here for solution of P. 44 #20

Circles Handout:

P.46 #11, 14

P.47 #1

P.48 # 2-6, 8-12

Mon

Mar 26

 

Analytic Geometry Toolbox

 

Click here for HW

Tue-Wed

Mar 27-8

Quiz (3/28)

 

Finding equations of median/altitude and perpendicular bisector

Finding Triangle centers

 

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

 

Thu

Mar 29

Verifying/Classifying geometric figures

 

Geometric Properties PowerPoint

Fri

Mar 30

Good Friday

Mon

Apr 2

Easter Monday

Tue

Apr 3

Test Review

Wed

Apr 4

Unit Test #2