Number Patterns
What is the next number? 2, 4, 6, 8, __
10 (growing by 2 each time)
Fill in the missing value in the table: (x:1,2,3; y:2,4,__)
6 (y = 2x)
If a pattern shows 3 circles, then 6, then 9, what is the rule?
Term x 3 (y=3x) or add 3 each time
Write the equation for: x: 1,2,3; y: 5,7,9
y = 2x + 3
What is the constant in y = 2x + 3?
+3
Find the rule for the pattern: 5, 10, 15, 20...
Multiply the term by 5 (y=5x)
What kind of graph represents a pattern that grows by 5 each time? (What does it look like)
A straight line created by plotted points that are going up by the same amount each time (/)
Imagine these shape patterns:
3 squares, 5 squares, 7 squares, 9 squares
y=2x+1
Translate the number pattern 4, 8, 12, 16 into a visual model and description
Show your drawing AND:
"Add 4 each time" or "groups of 4 blocks added"
Write the equation for a growing pattern that increases by 4 starting at 7
y=4x+7
Is the pattern 3, 6, 9, 12, 15 growing or shrinking?
Growing (by 3 each time)
Match this table to an equation:
1 - 3
2 - 7
3 - 11
4 - 15
The equation is y=4x-1
Draw the next term if the pattern is adding 2 triangles each time from 2, 4, 6...
8 triangles
Given y = 3x + 1, fill in a table values for the first 5 terms
4, 7, 10, 13, 16
If y = 3x + 5, what is y when x = 4?
y = 3(4) + 5
= 12 + 5
= 17
What is the pattern rule? 100, 90, 80, 70, __
Subtract 10 each time
(y=110-10x)
Describe the pattern shown on a graph with points (1, 2), (2, 5), (3, 8)
Pattern is y = 3x -1 (linear growth)
How can you represent a pattern of y=4x using tiles/squares.
Show the first 3 terms.
Start with 4 blocks and add 4 blocks each time.
4 blocks, 8 blocks, 12 blocks
Write the equation for the pattern shown in this graph
Points: (1,6), (2,11), (3,16)
y=5x+1
Explain what each part of y = 6x - 2 means
Multiplier 6 means the pattern grows by 6 per term, minus 2 adjusts starting value
Write the 8th number in the pattern: 1, 3, 6, 10, 15, 21...
Bonus: Is this linear or non-linear?
35 (each time the pattern adds 1 more)
bonus: Non-Linear (exponential)
Complete the table for y = 5x + 2 when
x = 0, 1, 3, 5
x=0 y=2
x=1 y=7
x=3 y=17
x=5 y=27
Which parts of the equation control which parts of the visual model?
I would draw a row of 3 squares with a circle in the middle on the top and on the bottom.
For each term, I would add another row of squares because the term number is multiplied by the multiplier (in this case, it grows by 3 each time, so it's x3), and the constant is my 2 circles because a constant stays the same each time.
Convert the pattern from table to graph and equation:
1 --> 3
2 --> 6
3 --> 9
4 --> 12
pattern from table to graph and equation: Table x:1-4 y: 3,6,9,12
Equation: y=3x, Graph: straight increasing line where each plotted point is 3 more.
Create an equation for a pattern starting with 2 and increasing by 5 each time and graph the first 3 terms.
y = 5x + 2
Show graph (line beginning at 2 on y axis - dots at 7, 12, 17