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 #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 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.) 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       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 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 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 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