MPM2D1  Grade 10 Academic Math
Unit 2 – Analytic Geometry
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 
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 
p. 162 #2af, 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 
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. 3640 
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. 4145 CP p. 4650 
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.5455 
Fri Oct
12 
Properties
of Quadrilaterals We will review types of quadrilaterals and their properties 
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 
CP p. 58 – 60 Extra Review: p. 209 #7 – 23 
Thu Oct
18 
Unit
Test #2 
Unit Test #2 