1. Complete each table with the first 10 numbers of the pattern.

   1. Pattern 1: Start with 0. Use the rule “Keep adding 5.”

      

   2. Pattern 2: Start with 0. Use the rule “Keep adding 10.”

      

2. What relationships do you notice between the numbers in the 2 patterns?

1. Complete each table with the first 10 numbers of the pattern.

   1. Pattern 1: Start with 0. Use the rule “Keep adding 6.”

      

   2. Pattern 2: Start with 4. Use the rule “Keep adding 6.”

      

2. When Pattern 1 has the number 222, what number will be in Pattern 2? Explain or show your reasoning.

Han and Mai created different patterns using these rules and starting numbers.

Han’s pattern: Start with 0. Use the rule “Keep adding 3.”
Mai’s pattern: Start with 0. Use the rule “Keep adding 10.”

1. Complete the table with the first 8 numbers in each pattern.

   	A	B	C	D	E	F	G	H
   Han's rule
   Mai's rule

2. Locate and label the points on the coordinate grid.

   

   Coordinate plane. Horizontal axis, Han's pattern, 0 to 25, by 1's. Vertical axis, Mai's pattern, 0 to seventy 5, by 5's.

3. What relationships do you notice between the corresponding terms of these 2 patterns?

The points on the coordinate grid show the results Lin and Tyler got when they each flipped a coin several times.

1. Who flipped the coin more times, Lin or Tyler? Explain or show your reasoning.
2. Who got more tails, Lin or Tyler? Explain or show your reasoning.
3. Flip a coin 7 times and plot the point to represent your results on the coordinate grid. Explain or show your reasoning.

1. The point on the coordinate grid represents the length and width of a rectangle. What is the perimeter of the rectangle?
2. Plot 4 more points to represent 4 different rectangles with the same perimeter as the given rectangle.
3. What point would represent a square with the same perimeter as the given rectangle?

area of base (square inches)	height (inches)

1. A box is shaped like a rectangular prism. The volume of the box is 240 cubic inches. List some possible values for the area of the base of the box and its height in the table.

2. Plot the listed base area and height pairs as points on the coordinate.

3. What do you notice about the plotted points?

4. Which point do you think represents the most reasonable measurements for the box? Explain your reasoning.

Andre and Clare create patterns.

• Andre’s pattern: Start with 2. Use the rule “Keep adding 6.”
• Clare’s pattern: Start with 1,000. Use the rule “Keep subtracting 7.”

1. List the first 6 numbers in Andre and Clare's patterns.
2. Will Andre and Clare ever have the same number in the same spot in their patterns? Explain or show your reasoning.