# NAME: _____________________________ CCSS 7.RP.1 CCSS 7.RP.2 Friday, October

NAME: _____________________________ CCSS 7.RP.1 CCSS 7.RP.2 Friday, October 16, 2015 Period: ______ Learning Objective: We will explore ratios and relationships in patterns. Activating Prior Knowledge Draw the next pattern below: Fill in the table below based on the patterns formed above. 4 triangles Describe the ratio of Triangles to Long Beads There is 1 triangle for every 3 Long Beads ___________________________________________ ___________________________________________ Ratio is proportional. 9 12 5 7 9 Describe the ratio of Triangles to Round Beads There are no equivalent ratios. ___________________________________________ ___________________________________________ NOT proportional. Describe the ratio of Long Beads to Round Beads ___________________________________________ There are no equivalent ratios. ___________________________________________ NOT proportional 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 2 4 Fill in your ordered pairs ( 1, 2 ) ( 2, 4 ) ( , ) ( , ) ( , ) ( , ) ( , ) Plot the ordered (x,y) pairs to the right. How many points can you plot? Can you connect the points with one straight line? Number of Sections Formed on Paper (y) Number of Sections ORDERED PAIRS (x,y) (# of Folds, # of Sections) 24 23 22 21 20 19 18 17 16

15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Number of Folds on Sheet of Paper (x) 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 2 STAGE 1 STAGE 3 STAGE 4 (You Create) STAGE 5 (You Create) Create the following ratios from STAGES 1-5 above: Grey Circles White Ovals 3 6 3 1st 2nd Create Ordered Pairs (x,y)

(Grey Circles, White Ovals) (3 , 3 ) ( 6, ) ( , ) ( , ) ( , ) 3rd 4th 5th 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 2 STAGE 1 STAGE 3 STAGE 4 (You Create) STAGE 5 (You Create) Create the following ratios from STAGES 1-5 above: Grey Circles White Ovals 3 5 3 6 1st 2nd Create Ordered Pairs (x,y) (Grey Circles, White Ovals) (3 , 3 ) (5 ,6 ) ( , ) ( , ) ( , ) 3rd 4th 5th TASK Skill Development / Guided Practice

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

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

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

23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Number of White Ovals(x) White Ovals Create Ordered Pairs (x,y) Grey Circles (White Ovals, Grey Circles) 1st 2nd 3rd ( , )( , )( , )

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