Standard 4.3B: Math

Content Area: Math

Index: 4.3B Grade 7 CPI 1

Standard: 4.3 - Patterns and Algebra

Strand: B - Functions and Relationships

Cumulative Progress Indicator: 1 - The student will graph functions, and understand and describe their general behavior

· Equations involving two variables

Grade: 7

Sample Activities:

· Students are paired to play a game similar to battleship in which they attempt to determine where the two lines their opponent has drawn intersect. Both students draw axes which go from -10 to 10 in both the x and ydirections. They sit so that neither can see the other's paper. The first player draws two lines which intersect at a point with integer coordinates and colors the four regions different colors. The second player gives the coordinates of a point. The first player responds with the color of the region the point is in, or that the point is on a line, or that it is the point! The second player keeps a record of his guesses on his axes and continues guessing until the chosen point is determined.

· Students keep track of the high and low temperatures for a month in two different colors on a graph. The horizontal axis represents the day of the month and the vertical axis represents the temperature. At the end of the month, they connect the points making two broken-line graphs. They use their graphs to discuss the temperature variations of that month and to determine the overall "high" and "low" for the month.

· Students consider what happens if they start with two bacteria and the number of bacteria doubles every hour. They make a table showing the number of hours that have passed and the number of bacteria and then plot their results on a coordinate graph.

· Students draw broken-line pictures in a cartesian plane and identify the coordinates of critical points in the pictures. Their partners attempt to re-create the picture using the coordinates of the critical point and verbal descriptions of how the critical points should be connected.