Coordinate Planes

Ann Bevan Hollos

Associate Director of the Middle School

Beaver Country Day School

Ann Bevan Hollos

Associate Director of the Middle School

Beaver Country Day School

**Name __________________**

**Week 1 (3 days):
C-level**

__The Basics:
Coordinate Planes __(~2 days) **20
points needed**

Find 5 coordinate plane graphs online (with axis and numbers), print them. 5 points ____

Make flashcards for 15 terms associated with coordinate planes. Learn them and be prepared to be “quizzed” on them 5 points ____

Learn more about coordinate planes online (list 10 things you learned) 5 points ____

Resource website: __http://www.terragon.com /tkobrien/algebra/topics/orderdpairs/op.html__

Play math Battleship with a partner for at least 15 minutes 5 points ____

Play coordinate plane plotting games 15 min = 5 points ____

__http://www.oswego.org/ocsd-web /games/BillyBug2/bug2.html__

http://funbasedlearning.com

Using graph paper, draw your own coordinate plane, labeling the axis, the quadrants, and numbering the graph 5 points ____

Plot points on a coordinate plane: page 144 #17-24 5 points ____

Plot points on an interactive site. (print the results) 5 points ____

http://www.shodor.org/interacti

Draw a picture using a coordinate plane (see worksheet 3.8) , exchange with a classmate, and complete each others 10 points ____

Label points: page 144
#3-10 5 points ____

__Graphing Equations__
**10 points needed**

__Required:__ take
notes on lecture: T-graphs, equations with 2 variables, and coordinate
planes 5
points ____

Create a T-graph for at least 4 equations. 5 points ____

Find at least 4 equations with two variables (from your test book, page 620 & 624, or some worksheets in the binder), then make a T-table showing at least three solutions, plot the points and connect the dots. 5 points ____

Use the Graphing Calculator to
enter an equation and by looking at the line, write down 3 points. Do
this for 3 equations. Print your
results. 5 points ____

**Coordinate
Planes Name __________________**

**Week 2 (6 days):
C-level**

**15 points needed**

__Required:__ take notes on
lecture: finding x and y intercepts 5 points ____

Find the intercepts of at least 4 equations. Plot the lines using the intercepts.

(page 630, #10 – 13) 5 points ____

Take 4 equations (y = x + 4, y = x + 5, y = x -1, y = x + 2) plot them in the graphing calculator – what are the x and y intercepts for each equation? 5 points ____

Do a worksheet from
13.3 5 points ____

**15 points needed**

Take notes on lecture about slope 5 points ____

Plot points (two) – what is the difference between the x coordinates and the difference between the y coordinates? 5 points ____

Plot 2 pairs of points 4 times. Find the slope of each of the 4 lines. 5 points ____

Which slope is steepest? Slope of 3, slope of 7/2, or slope of 11/3.

Explain why. Plot them. 5 points ____

Slope and parallel lines. Do page 636 #15 – 18 5 points ____

Find the slope of the “wedges”
(sketch and label) 5 points ____

**15 points needed**

__Required:__ take
notes on lecture y = mx + b form OR teach yourself by reading pages 642
– 643 and taking notes 5
points ____

Do worksheet of changing equations into y = mx + b form 5 points ____

Do worksheet on identifying slope and y-intercept 5 points ____

Do at least 6 problems on
worksheet 13.5 (do it until you understand) 5 points ____

**Coordinate
Planes Name __________________**

**Week 3 (3 days): **

**B-level**
**choose one for 10
points**

- Create 4 equations with 2 variables (x and y), create a T-table for them, plot the points on a labeled coordinate plane that you crated on graph paper. All the slopes must be different and at least one line must have a negative slope; at least one line has to have a positive slope.
- Take one equation, explain how the graphs look different based on at least 5 different m and b values.
- Take 4 equations (y = -1/2x + 6, y = x + 6, y = 10x + 6, y = 6), plot them in the graphing calculator, print the three lines, and explain the differences in the lines
- If you have two lines, how many points of intersection could there be? What about 3 lines? 4 lines? 5 lines? 6 lines?

10 points
_______

**A-level
choose one for 15 points**

- Show how you can define the equation of a line based on two points. Clearly explain why it works.
- Write a bunch of equations in y = mx + b form that make a shape when the lines intersect (vary shapes – a square, a 5 pointed star, a hexagon)
- Draw a picture with points and lines, give directions not just in coordinates, but also including slope and equations of lines.
- Do worksheet 13.3 on intersecting lines
- Do a T-table for y = -2x + 3. Find at least 3 points. Look for patterns: explain the pattern change in the x coordinates and in the y coordinates.
- Find a formula that gives the slope between any two points. Explain why it works.

15 points
_______

86 – 100
A 75 – 85 B 55-75
C 40 - 54 D

*Passport to Algebra and
Geometry*, McDougal Littell