DAY 1 DISTANCE ON THE PLANE – PART I: DISTANCE FROM THE ORIGIN MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.3 Distance on the Plane – Part I: Distance From the Origin

End of Day 1 HW Pg. 151 #2, 3, 4, 6, 8

DAY EQUATION OF A CIRCLE MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.4 Equation of a Circle What is the distance from the centre (origin) to any point, ?

2.4 Equation of a Circle

End of Day 2 HW Pg. 155 #1, 3, 4, Equation of a Circle

DAY DISTANCE ON THE PLANE – PART II MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.5 Distance on the Plane – Part II

End of Day 3 HW Pg. 162 #1 aceg, 3, 9

DAY 4 FINDING THE MIDPOINT OF A LINE SEGMENT MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.7 Using Midpoint To Solve Other Questions Define midpoint- The point in a line segment that divides the line segment into two equal lengths Define perpendicular bisector A line that is perpendicular to a line segment and passes through the midpoint of the line

2.7 Using Midpoint To Solve Other Questions If the coordinates of a triangle are P (2,-2), Q (-5,-2), and R (-3,4), find the equation of the median line from vertex Q.

2.7 Using Midpoint To Solve Other Questions

Finding the Midpoint of a Line Segment End of Day 4 HW Pg. 173 #2aceg, 3,4,5

DAY 5 FINDING THE MIDPOINT OF A LINE SEGMENT MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

Finding the Midpoint of a Line Segment

M Q P R

2.7 Using Midpoint To Solve Other Questions End of Day 5 HW Pg. 173 # 9, 13, 15, 17

DAY CLASSIFYING SHAPES ON A COORDINATE PLANE MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.8 Classifying Shapes on a Coordinate Plane Quadrilaterals four sided polygons Parallelogram both pairs of opposite sides are parallel

2.8 Classifying Shapes on a Coordinate Plane Rectangle a parallelogram in which the interior angles are all right angles

2.8 Classifying Shapes on a Coordinate Plane Square a rectangle with all sides equal length

2.8 Classifying Shapes on a Coordinate Plane Rhombus a parallelogram with all sides equal length

2.8 Classifying Shapes on a Coordinate Plane If you know the vertices of a quadrilateral, you can classify the quadrilateral by finding the length and slopes of each side. If you know the vertices of a triangle, you can use the lengths of the sides to determine whether the triangle is scalene, isosceles or equilateral. The slopes of the sides can be used to determine if it is a right triangle.

2.8 Classifying Shapes on a Coordinate Plane

Example 2 – Read page 179, example 2. To solve, find the slope and length of each side. If it is truly a rectangle, opposite sides will be parallel and adjacent sides will be perpendicular.

2.8 Classifying Shapes on a Coordinate Plane End of Day 6 HW Pg. 182# 2, 5, 8, 14

DAY USING THE POINT OF INTERSECTION TO SOLVE PROBLEMS MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.10 Using the Point of Intersection to solve problems The centroid, circumcentre, and orthocentre can be located on a triangle on a coordinate grid if the vertices are known. Centroid Where the three medians meet; also known as the centre of mass. Can be found by determining the equations of two median lines, then finding their intersection point.

2.10 Using the Point of Intersection to solve problems Altitude The line segment representing the height of a polygon, drawn from the vertex of the polygon perpendicular to the opposite side

2.10 Using the Point of Intersection to solve problems Circumcentre The centre of the circle that passes through all three vertices of a triangle. Can be found by finding the equations of the perpendicular bisectors of two sides, then finding their intersection point.

2.10 Point of Intersection Orthocentre The point where the three altitudes of a triangle meet. Can be found by determining the equations of two altitude lines, then finding their intersection point.

2.10 Point of Intersection

2.10 Using the Point of Intersection to solve problems

End of Day 7 HW Pg. 194 # 1,2,3,4a-e,6,8,10

DAY VERIFYING GEOMETRIC PROPERTIES MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols

2.11 verifying geometric properties

End of Day 8 and unit :) HW Pg. 203 # 1,2,6,12