1. 5 9 7 12 9 NAME: _____________________________
Friday, October 16, Period: ______
CCSS 7.RP.1
CCSS 7.RP.2
Learning Objective: We will explore ratios and relationships in patterns.
Activating Prior Knowledge
Draw the next pattern below:
4 triangles
Fill in the table below based on the patterns formed above.
Describe the ratio of Triangles to Long Beads
______________________________________________________________________________________
Describe the ratio of Triangles to Round Beads
Describe the ratio of Long Beads to Round Beads
There is 1 triangle for every 3 Long Beads
Ratio is proportional. 5
There are no equivalent ratios.
NOT proportional. 9 7 12 9
There are no equivalent ratios.
NOT proportional

2. 2 4 ( 1, ) ( 2, ) ( , ) 2 4 Plot the ordered (x,y) pairs to the right.
Concept Development
We will create Ordered Pairs from an Experiment.
Directions: You will receive one sheet of paper. Fold as directed by Mr. Pearson.
Converting From Tables, Create Ordered Pairs, Then Graph (Coordinate Plane)
Number Folds 1 2 3 4 5 6 7
Number of Sections 2 4
ORDERED PAIRS (x,y)
(# of Folds, # of Sections)
Fill in your ordered pairs
( 1, )
( 2, )
( , ) 24 23 22 21 20
Plot the
ordered (x,y) pairs
to the right.
How many points
can you plot?
Can you connect the
points with
one straight line? 2 19 18 17 16 15 14 4 13 12 11 10 9 8 7 6
Number of Sections Formed on Paper (y) 5 4 3 2 1
Number of Folds on Sheet of Paper (x)

3. 3 6 3 (Grey Circles, White Ovals) 3 3 6 ( , ) ( , ) ( , ) ( , ) ( , )
TASK: Skill Development
A proportional relationship is a set of equivalent ratios.
Equivalent ratios have equal values using different numbers.
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below)
STAGE 1
STAGE 2
STAGE 3
STAGE 4 (You Create)
STAGE 5 (You Create)
Create the following ratios from STAGES 1-5 above:
Create Ordered Pairs (x,y) 3 6
Grey Circles
White Ovals
(Grey Circles, White Ovals) 3
( , )
3 3
( , ) 6
( , )
( , )
( , )
1st nd rd th th

4. 3 5 3 6 (Grey Circles, White Ovals) 3 3 5 6 ( , ) ( , ) ( , ) ( , )
TASK: Guided Practice
A proportional relationship is a set of equivalent ratios.
Equivalent ratios have equal values using different numbers.
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below)
STAGE 1
STAGE 2
STAGE 3
STAGE 4 (You Create)
STAGE 5 (You Create)
Create the following ratios from STAGES 1-5 above:
Create Ordered Pairs (x,y) 3 5
Grey Circles
White Ovals
(Grey Circles, White Ovals) 3 6
( , )
3 3
( , )
5 6
( , )
( , )
( , )
1st nd rd th th

5. Create the following ratios from
TASK Skill Development / Guided Practice
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below)
STAGE 1
Number of Grey Circles (y)
STAGE 2
STAGE 3
Create the following ratios from
STAGES 1-3 above:
STAGE Number (x) 1 2 3
Create Ordered Pairs (x,y)
STAGE Number
Grey Circles 3 6 9
(Stage Number, Grey Circles)
( , )
1 3
( , )
2 6
( , )
3 9
1st nd rd

6. Create the following ratios from
TASK Skill Development / Guided Practice
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below)
STAGE 1
Number of White Ovals (y)
STAGE 2
STAGE 3
Create the following ratios from
STAGES 1-3 above:
STAGE Number (x) 1 2 3
Create Ordered Pairs (x,y)
STAGE Number
White Ovals 3 6 12
(Stage Number, White Ovals)
( , )
( , )
1 3
( , )
( , )
2 6
( , )
3 12
1st nd rd

7. Create the following ratios from
TASK: Independent Practice
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below) 24 23 22 21 20 19 18 17 16 15 14
STAGE 1 13 12 11 10 9 8 7 6
Number of White Ovals (y)
STAGE 2 5 4 3 2 1
STAGE 3
Create the following ratios from
STAGES 1-3 above:
Number of Grey Circles (x)
Create Ordered Pairs (x,y)
Grey Circles
White Ovals
(Grey Circles, White Ovals)
( , )
( , )
( , )
1st nd rd

8. Create the following ratios from
TASK: Independent Practice
Creating Tables and Ordered Pairs from a Visual Pattern.
Patterns are created from combining Grey Circles and White Ovals (shown below) 24 23 22 21 20 19 18 17 16 15 14
STAGE 1 13 12 11 10 9 8 7 6
Number of Grey Circles (y)
STAGE 2 5 4 3 2 1
STAGE 3
Create the following ratios from
STAGES 1-3 above:
Number of White Ovals(x)
Create Ordered Pairs (x,y)
White Ovals
Grey Circles
(White Ovals, Grey Circles)
( , )
( , )
( , )
1st nd rd