5 9 7 12 9 NAME: _____________________________ Friday, October 16, 2015 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 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 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)

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 2nd 3rd 4th 5th

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 2nd 3rd 4th 5th

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 2nd 3rd

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 2nd 3rd

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

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