What do we call the horizontal axis of a graph? What do we call the vertical axis?
The horizontal axis is the x-axis. The vertical axis is the y-axis.
What is the origin?
The ordered pair (0,0). It is where the axes meet.
Look at part 1. What are the coordinates of point C?
Explain how to plot a point at (3, 4). Start at the origin.
Possible response: Move 3 units to the right. Then move up 4 units.
The word problem contains the same information as the graph. How should we label the x- and y-axes to show this? What would be a good title for our graph?
Possible response: We can label the x-axis as Number of Years. We can label the y-axis as Number of Trees. A good title for our graph is Number of Trees on the School Yard.
What does point A mean in the context of the problem?
There was 1 tree on the school yard before the class started planting trees.
Look at part 2. How can we complete the table based on the number of triangles in figure 2, figure 3, and figure 4?
Figure 2 has 3 triangles. Figure 3 has 5 triangles. Figure 4 has 7 triangles. Fill in the number of triangles in the row labeled Number of Triangles for each figure number.
How many triangles would be in figure 5? Draw it on paper.
9 triangles. Drawings vary; encourage students to draw a figure showing 1 more triangle on each end.
How many triangles would be in figure 1?
What is the pattern when we look at just the number of triangles?
Start with 1 triangle. Then add 2 triangles each time.
How do we get from the input to the output in the table?
Multiply the figure number times 2. Then subtract 1.
What observations can we make about the numbers of triangles?
Possible answer: The number of triangles is always odd.
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