Ms. Branch

Unit 3

Do Now •W

hat do you think coordinate geometry is? Write a web.

Overview Notes •W

hat you should know? • Basic Geometric Shapes• Types of Triangles and Quadrilaterals

• Slope • Parallel and Perpendicular Lines• Formula for computing area and perimeter (i.e. triangles and

rectangles)•W

hat you will learn?• Using coordinates and equations on lines. • Understanding distance and midpoints using coordinates. (i.e.

formulas)• Polygonal shapes, triangles, and quadrilaterals in the

coordinate plane. • Developing geometric proofs using coordinate geometry.• Circles

Preview Theorems P

arallel Lines Theorem P

erpendicular Lines Theorem T

riangle Midsegment Theorem M

idpoints of a Quadrilateral Theorem M

idpoints of Isosceles Trapezoid Theorem M

idpoint of the Hypotenuse of a Right Triangle Theorem D

iagonals of a Parallelogram Theorem

Discussion•W

hat animal exhibit do you think is halfway between the lion and the giraffe exhibit?

What is the distance between the lion and the giraffe exhibit?

Find the distance between the hippo and giraffe exhibits.

Presentations •H

ouse map or Amusement Park Map blueprint•L

ocations you chose•H

ow you found distance?•H

ow you found midpoint?•W

hat was your midpoint location?

•Any other information you would like to share?

Homework Link

http://tinyurl.com/ptacso6

Due: Tomorrow

Unit 3 Lesson 6: What Kind of Triangle?

•Objective: Identify different types of triangles in a coordinate plane.

•Slide 1: 1-4 check mark questions

•Slide 3: Check mark questions: Use picture of triangles on grid•-Finding the distances and midpoint will help

•Slide 4: Check mark question

Writing Prompt•R

eflection: •How was your learning experience today? •What parts did you understand? •What parts were confusing? •What can you tell me about slope on a coordinate plane?

•Plot the points on a coordinate graph: •C (3, -5)•D (3, 4)•E (-2, -5)

•Use the Distance Formula to find the distance from D to E.

•Use the Pythagorean Theorem to find the distance from D to E.

Do Now

Quick Reflection:

•What do you notice about finding the distance with both the Distance Formula and the Pythagorean Theorem? Are they different? Are they the same? Why?

•What connection can you make with knowing about the hypotenuse of a triangle?

Writing Prompt•W

hat did you learn about Rene Descartes?•H

ow is he an important mathematician? •W

hat connection can Descartes make with coordinate geometry?

•What else would you like to know about Descartes?

Agenda •U

nit 3 Lesson 5•U

nit 3 Lesson 6 (What Kind of Triangle?)•G

allery Problem: (Solving Word Problems Using Midpoints)

•Gallery Problem: ( Coordinates of a Square)

•File Name: Geoboard Activity

Do Now – Happy Monday

Word Bank-angles-sidesParallel-inverse-four-equal-right-perpendicular

Do NowAt 7:55am, you will begin your distance and midpoint assessment. Until then: •Take out your notes to study•Ask any last minute questions.•Distribute iPads.•Lower your voices. •Focus

Your Assessment is found online on baxterhigh.org

“Distance and Midpoint Quiz”Cohort B, Math Department

Show work on a separate sheet of paper.

*When submitted, come see Ms. Branch*

Your Assessment is found online on baxterhigh.org

“Distance and Midpoint Quiz”Cohort B, Math Department

Show work on a separate sheet of paper.

*When submitted, come see Ms. Branch*

-Finding the slope of a line- Parallel : Slopes of a

parallel line has the same slope.

-Perpendicular: Slopes of perp. Lines have a negative reciprocal-Area of an isosceles trapezoid (on a coordinate plane)- Perimeter of a parallelogram

-Finding the slope of a line- Parallel : Slopes of a

parallel line has the same slope.

-Perpendicular: Slopes of perp. Lines have a negative reciprocal-Area of an isosceles trapezoid (on a coordinate plane)- Perimeter of a parallelogram

- What type of triangle? - (Scalene, Isosceles, Equilateral)- Finding coordinates that make a square- -Find the center point of a circle

- What type of triangle? - (Scalene, Isosceles, Equilateral)- Finding coordinates that make a square- -Find the center point of a circle

-Length of the radius of a circle-What makes two triangles similar?-Finding midpoint-Deciding if a circle goes through the origin

TOPICS TO FOR UNIT 3 ASSESSMENT