Download Bundle 6 Geometry - East Allen County Schools

EAST ALLEN COUNTY SCHOOLS
Bundle 6
Geometry
Algebra to Geometry
Big Idea: Bridges
Enduring Understandings
Essential Questions
The coordinate plane can be used to prove geometric theorems.
The coordinate plane can be used to compute area and perimeter of geometric
shapes.
Equations of lines are used to prove that lines are parallel or perpendicular.
Distance formulas can be used to find the ratios of divided segments.
CC/Learning Targets
G.GPE.4
G.GPE.5
How could the coordinate plane be used to prove geometric theorems of
quadrilaterals algebraically?
How can the coordinate plane be used to algebraically calculate the area and
perimeter of geometric shapes?
How could a segment be partitioned into a given ratio?
Core Vocabulary
Links to Technology
G.GPE.6
G.GPE.7
Bundle Performance Task(s)
Groups will design and plan a fictional city using the Bundle 6 Performance Task Worksheet. The groups will be divided into the following roles: architect, supplier,
and councilman. The city needs to include a name and projected population, six parallel streets, two transversal streets, and one perpendicular street. The city must
include the following buildings: a gas station and restaurant with alternate exterior angles, a house and school with alternate interior angles, a courthouse and bank
with vertical angles, a hardware store and church with corresponding angles. Don’t forget to include a traffic light at two intersections. The groups will need to name
and label each building and street. The project will be created on a poster board. The groups will need to use crayons, colored pencils, or markers to draw the city.
Three-dimensional objects may be used as well.
Geometry
Bundle 6
Quarter 3
Feb.-Mar.
Geometry
Bundle 6
CC/Learning Targets
Resource of Ideas
G.GPE.4
(G.1.1b)
(G.2.6a)
(G.3.1h)
(G.3.4a-b)
(G.4.9a-c)
(G.6.3a)
(G.6.8b)
(G.7.5b)
G.GPE.5
(G.1.4a-c)
(G.4.2g)
(G.8.8a)
Use coordinates to prove simple
geometric theorems algebraically. For
example, prove or disprove that a figure
defined by four given points in the
coordinate plane is a rectangle; prove
or disprove that the point (1, √3) lies on
the circle centered at the origin and
containing the point (0, 2).
-Triangle Midsegments
-Properties of Quadrilaterals using coordinate plane
-Quadrilateral properties
Prove the slope criteria for parallel and
perpendicular lines and uses them to
solve geometric problems (e.g., find the
equation of a line parallel or
perpendicular to a given line that
passes through a given point).
-Equation of parallel and perpendicular lines
-Slope
G.GPE.6
(G.1.1c-d)
(G.4.5b)
Find the point on a directed line
segment between two given points that
partitions the segment in a given ratio.
G.GPE.7
(G.1.4a)
(G.2.1a)
(G.2.2a-c)
(G.2.5a-d)
(G.3.1b,g)
(G.3.2a,b)
(G.3.3a-c)
(G.4.7a-d)
Use coordinates to compute perimeters
of polygons and areas of triangles and
rectangles, e.g., using the distance
formula.
Correlating CC/Learning Targets
G.CO.1
G.CO.6
G.SRT.1.
G.SRT.2
Evidence of Learning
-Journal
-Note Card/Flash Card
-Graphing
-Homework
-Prentice Hall Mathematics
Lessons 5.1, 6.1, 6.7, 7.6, 7.7, 10.7
-iBook Prentice Hall Geometry
Lessons 1.7, 6.7
-Homework
-Journal
-Graphing
-White Board
-Quiz/Test
-Prentice Hall Mathematics
Lessons 5.2, 5.3
-iBook Prentice Hall Geometry
Lessons 3.7, 3.8, 7.3, 7.4
-Prentice Hall Mathematics
Lessons 8.4, 8.5
-Worksheet
-Class Discussion
-Area and Perimeter of polygons
-Graphing
-White Board
-Quiz/Test
-Prentice Hall Mathematics
Lessons 1.6, 1.7, 6.3, 6.5, 7.1-7.5, 8.6
-iBook Prentice Hall Geometry
Lessons 6.7, 10.1, 10.7
Teacher Notes
All embedded apps included in this curriculum are free.
Geometry
G.CO.7
G.CO.8
G.CO.9
G.CO.10
G.CO.11
G.CO.12
G.CO.13
G.MG.1
G.MG.2
G.MG.3
Bundle 6
G.SRT.3
G.SRT.4
G.SRT.6
G.SRT.7
G.SRT.8
G.SRT.9
G.SRT.10
G.SRT.11
G.GMD1
G.GMD.3
G.C.2
Name: ____________________________
Date:___________________
CITY PROJECT
You will work in a group. Each group should have the following roles filled by different students:
City Planner (makes up the names of streets and buildings) ___________________
Architect (builds/draws the streets and buildings)
Supplier (gathers/delegates supply list for the group)
___________________
___________________
Councilman (checks design has all requirements/appearance) ___________________
You and your group are to design your own city and include the following:
1. City name and population at the top of the project
2. Six parallel streets (each street must be named)
3. Two transversal streets (each street must be named)
4. One perpendicular street (each street must be named)
The following buildings must be placed as directed:
1. The gas station and restaurant must be alternate exterior angles
2. Your house and school must be alternate interior angles
3. Courthouse and bank must be vertical angles
4. Hardware store and church must be corresponding angles
5. Traffic light at two intersections (draw 3 circles on top of each other like a stop light)
6. Name and label each building
7. Use crayons or colored pencils to draw your city or use 3-dimensional objects. BE
CREATIVE!!!!!
8. Build the final city on poster board
9. Turn in this sheet with your project
CHECKLIST:
ITEM
Parallel streets (named)
Transversal streets (named)
Perpendicular street (named)
Hospital (name/location)
Department Store (name/location)
Gas station (named/location)
Restaurant (named/location)
House (named/location)
School (named/location)
Courthouse (named/location)
Bank (named/location)
Hardware Store (named/location)
Church (named/location)
Traffic lights (named/location)
General appearance
POINTS POSSIBLE
6
2
1
3
3
3
3
3
3
3
3
3
3
2
9
POINTS RECIEVED