Coordinate Planes

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 ____

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 ____

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 ____

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

1. 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.
2. Take one equation, explain how the graphs look different based on at least 5 different m and b values.
3. 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
4. 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

1. Show how you can define the equation of a line based on two points.  Clearly explain why it works.
2. 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)
3. Draw a picture with points and lines, give directions not just in coordinates, but also including slope and equations of lines.
4. Do worksheet 13.3 on intersecting lines
5. 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.
6. 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