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
Topic
Homework
Review:
I can solve problems involving slopes, equations of lines and
Pythagorean theorem
I will develop the formula for the length of a line segment.
I can use this formula to 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 and 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.
Date
Pg 27 # 1ac, 2abc, 3ce, 5, 6adefg
Pg 31 # 1, 3ac, 4bc, 6, 7
Pg 151 # 6, 7, 8
Pg 162 # 1acef, 2aceg, 5ac, 6i, 8, 9, 12, 14
Section 2.7 Key Ideas Pg 171
Pg 173 # 2bdfh, 3, ,5, 7, 17, 18, 21*
Second day: Pg. 173 # 13, 14, 15
Section 2.8; Key Ideas Pg 178
Pg. 182 # 3, 4, 5, 6, 11acf
Pg 182 # 7, 8, 9, 13abc
Section 2.10; Text example Pg 192
Pg 194 # 4, 15, 16
Section 2.11; Key Ideas Pg 200
Pg 203 # 1, 3, 6, 10, 11, 12
Section 2.4; Key Ideas Pg 154
I can verify, using algebraic techniques and analytic
geometry, some characteristics of geometric figures.
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.
Pg 155 #1, 2, 3ace, 4cd, 5cd, 9, 10, 11, 12, 16
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: Pg 207 # 4ac, 5bd, 6
Pg 209 # 7a, 8
Pg 211 # 10ac, 11, 12
Pg 213 # 16, 17
Pg 217 # 22, 23a
Analytic Geometry Unit Summative Date: ______________________________________
Word List: (Definitions and Properties you should know)
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Isosceles triangle
Equilateral triangle
Scalene triangle
Right triangle
Quadrilateral
Parallelogram
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Rhombus
Rectangle
Square
Trapezoid
Circle
Diagonal
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Median
Perpendicular bisector
Altitude
Midsegment