Unit 2 Outline: Analytic Geometry
MPM 2DI
Overall Expectation:
• solve problems using analytic geometry involving properties of lines and line segments;
• verify geometric properties of triangles and quadrilaterals, using analytic geometry.
Topics and Expected Homework Assignments
Day
1
Topic
Getting Ready:
I can solve problems involving slopes and the equations of lines.
I can solve problems involving Pythagorean theorem.
I will develop and apply the formula for the length of a line
segment.
Homework
Pg 28 # 1ac, 2abc, 3ce, 5, 6adefg
I can calculate lengths of line segments given the endpoints and
to solve problems.
I will develop the formula for the midpoint of a line segment.
I can use this formula to determine midpoints.
I can solve problems involving midpoints, medians and the
perpendicular bisector
I can verify, using algebraic techniques and analytic geometry,
some characteristics of geometric figures.
I can classify triangles and quadrilaterals given the coordinates of
the vertices.
I can determine the shortest distance from a point to a line.
Pg 162 # 1acef, 2aceg, 5ac, 6i, 8, 9, 12, 14
9
I can verify, using algebraic techniques and analytic geometry,
some characteristics of geometric figures.
Section 2.11; Key Ideas pg 200
Pg 203 # 1, 3, 6, 10, 11, 12
10
Section 2.4; Key Ideas pg 154
11
I will develop the equation for a circle with centre (0,0) and
radius r, by applying the formula for the length of a line segment.
I can determine the radius of a circle with centre (0,0), given its
equation.
I can write the equation of a circle with centre (0,0), given the
radius.
I can sketch the circle, given the equation in the form x2+y2=r2.
Review
12
Summative
2
3
4
5
6/7
8
Pg 31 # 1, 3ac, 4bc, 6, 7
Pg 151 # 6, 7, 10
Section 2.7; Key Ideas pg 171
Pg 173 # 2bdfh, 3, ,5, 7, 17, 18, 21*
Pg 173 #13, 14, 15
Section 2.8; Key Ideas pg 178
Day 1: Pg. 182 # 3, 4, 5, 6, 11acf
Day 2: Pg. 182 #7, 8, 9, 13abc
Section 2.10; See example pg 192
Handout with Questions # 1-7 and
Pg. 194 # 15, 16
Pg 155 #1, 2, 3ace, 4cd, 5cd, 9, 10, 11, 12, 16
Pg 207 # 4 ac, 5bd, 6
Pg 209 #7a, 8
Pg 211 #10ac, 11, 12
Pg 213 #16, 17
Pg 217 #22, 23a
Word List: (Definitions and Properties you should know)




Isosceles triangle
Equilateral triangle
Scalene triangle
Right triangle






Quadrilateral
Parallelogram
Rhombus
Rectangle
Square
Trapezoid






Circle
Diagonal
Median
Perpendicular bisector
Altitude
Midsegment