NAME CCSS 7 RP 1 CCSS 7 RP
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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 Number of Sections 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) 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 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 1 st 2 nd 3 rd 4 th Create Ordered Pairs (x, y) 5 th (Grey Circles, White Ovals) (3 , 3 ) ( 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 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 1 st 2 nd 3 rd 4 th Create Ordered Pairs (x, y) 5 th (Grey Circles, White Ovals) (3 , 3 ) (5 , 6 ) ( , )
TASK Skill Development / Guided Practice Creating Tables and Ordered Pairs from a Visual Patterns are created from combining Grey Circles and White Ovals (shown below) Number of Grey Circles (y) 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 1 st 2 nd 3 rd 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 Patterns are created from combining Grey Circles and White Ovals (shown below) Number of White Ovals (y) 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 1 st 2 nd 3 rd 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) Create Ordered Pairs (x, y) Grey Circles (Grey Circles, White Ovals) White Ovals 1 st 2 nd 3 rd ( , )( , )
TASK: Independent Practice Creating Tables and Ordered Pairs from a Visual Patterns are created from combining Grey Circles and White Ovals (shown below) Number of Grey Circles (y) 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) Create Ordered Pairs (x, y) White Ovals (White Ovals, Grey Circles) Grey Circles 1 st 2 nd 3 rd ( , )( , )
