Investigation One: Predicting from Patterns

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Connected Mathematics Grade Seven
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Investigation One: Predicting from Patterns
Lesson  (...)
Lesson: Introduces students to the idea of finding number patterns in the generation of several different types of fractals.

Lesson: Shows students that number patterns exist in the Pascal's Triangle, and reinforces student's ability to identify patterns.

Lesson: Students learn to identify a variety of patterns using sequences and tessellations.

Activity  (...)
Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.

Activity: Plot ordered pairs on the graph, and they will be connected in the order that they are input. This enables you to decide how the pairs should be connected, rather than having the computer connect them from left to right.

Activity: Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit.

Activity: Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.

Activity: Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.

Discussion  (...)
Worksheet  (...)
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