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INTERACTIVE HOMEWORK ACTIVITY YOU WILL COMPLETE THIS ASSIGNMENT WITH YOUR HOMEWORK AND A PARTNER—DUE AT THE END OF THE PERIOD COMPLETE EACH QUESTION ON A SEPARATE SHEET OF PAPER A T T A C H P A P E R T O H O M E WO R K T O S U B M I T “WHAT IS BRIGHT AND ASKS A LOT OF QUESTIONS” WORKSHEET A sequence is a set of numbers that are in a particular order. An Arithmetic Sequence is a sequence that has a constant value added to each number to make the next in the set. EX: 1, 4, 7, 10, 13, 16… (adds 3) 1. Look at the patterns at the top of the page (D-H) and list any that appear to be an Arithmetic Sequence. “WHAT IS BRIGHT AND ASKS A LOT OF QUESTIONS” WORKSHEET In a Geometric Sequence each term is found by multiplying the previous term by a constant to get the next. EX: 1, 3, 9, 27, 81… (multiply by 3) 2. Identify any patterns at the top (D-H) that appear to be a Geometric Sequence. “WHAT IS BRIGHT AND ASKS A LOT OF QUESTIONS” WORKSHEET For each toothpick pattern (T, R, and B) create an input/output table to model the pattern. 3. (T) (R) (B) Figure 1 2 3 4 5 Toothpicks Figure 1 2 3 4 5 Toothpicks Figure 1 2 3 4 5 Toothpicks “WHAT IS BRIGHT AND ASKS A LOT OF QUESTIONS” WORKSHEET 4. a) Describe how the number pattern in the toothpick tables seem to each be growing b) Try to write a rule or equation for each table “WHAT IS BRIGHT AND ASKS A LOT OF QUESTIONS” WORKSHEET 5. For each word problem set up an input/output table to model the situation. (N) (L) (W) “HOW DOES THE AVERAGE MAN FEEL TODAY?” WORKSHEET 6. Extend EACH table on the page by one additional row below. Find a point on each graph that you created to write new (x, y) values on the table from the graph. (**HINT: Look at where your line crosses intersections on the grid lines of each graph and write that point location) “HOW DOES THE AVERAGE MAN FEEL TODAY?” WORKSHEET 7. Using a highlighter, find the point where each line crosses the y-axis. Highlight that point on the corresponding table. That point is called the y-intercept 8. Examine the y-intercept and the equation that goes with each table. Describe any connection you see.