topic badge

4.03 Compare and graph two patterns

Lesson

Are you ready?

Do you remember how to continue number patterns? Let's try this problem to practice.

Look at the following Input/Output table and then fill in the blank:

Input Output
$40$40 $45$45
$80$80 $85$85
$120$120 $125$125
$160$160 $165$165
$200$200 $205$205
  1. Each output is $\editable{}$ more than the input.

  2. Which of the following best describes the pattern above?

    Add $8$8

    A

    Add $5$5

    B

Learn

This video looks at how we can plot points from a table of ordered pairs.

Apply

Question 1

Think about the two patterns:

Pattern $A$A: start at $0$0 and add $2$2 each time

Pattern $B$B: start at $0$0 and add $4$4 each time

  1. Use the patterns to complete the table:

    Position 1st 2nd 3rd 4th
    Pattern $A$A $0$0 $\editable{}$ $\editable{}$ $\editable{}$
    Pattern $B$B $0$0 $\editable{}$ $\editable{}$ $\editable{}$
  2. Plot Pattern $A$A on the coordinate plane as a set of ordered pairs, where the $x$x-value is the position of a value in the pattern.

    Loading Graph...

  3. Plot Pattern $B$B on the coordinate plane as a set of ordered pairs, where the $x$x-value is the position of a value in the pattern.

    Loading Graph...

  4. How can we describe the relationship between Pattern $A$A and Pattern $B$B?

    The values in Pattern $A$A are $2$2 more than the values in Pattern $B$B.

    A

    The values in Pattern $A$A are double the values in Pattern $B$B.

    B

    The values in Pattern $A$A are half the values in Pattern $B$B.

    C

    The values in Pattern $A$A are $2$2 less than the values in Pattern $B$B.

    D

Learn

This video looks at how we can compare number patterns and find a relationship between them.

Apply

Question 2

Two patterns are plotted on the coordinate plane, with the $x$x-values representing the position in the pattern.

Pattern $P$P is represented by the filled points, and Pattern $Q$Q is represented by the hollow points.

Loading Graph...

  1. Which relationship describes the two patterns?

    The values in Pattern $P$P are $2$2 more than the values in Pattern $Q$Q.

    A

    The values in Pattern $P$P are half the values in Pattern $Q$Q.

    B

    The values in Pattern $P$P are $2$2 less than the values in Pattern $Q$Q.

    C

    The values in Pattern $P$P are double the values in Pattern $Q$Q.

    D
  2. Which pattern is increasing at a faster rate?

    Pattern $P$P

    A

    Pattern $Q$Q

    B

    They are increasing at the same rate.

    C
  3. Which pattern has a greater starting value?

    Pattern $P$P

    A

    Pattern $Q$Q

    B

    They have the same starting value.

    C

 

Remember!

When plotting points onto the coordinate plane, the $x$x-value is the value along the horizontal axis and the $y$y-value is the value along the vertical axis.

Outcomes

5.OA.B.3

Generate two numerical patterns using two given rules. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences.

What is Mathspace

About Mathspace