Analyze Patterns and Relationships TOPIC 15 Lesson 15

Analyze Patterns and Relationships TOPIC 15

Lesson 15. 3 Analyze and Graph Relationships Essential q. How Question: can you generate and graph numerical patterns?

Lesson 15. 3 Learning Objective Today you see how a graph can show the relationship between two number sequences.

Lesson 15. 3 – Example #1 X-Coordinate Y-Coordinate 30 Pattern A Pattern B Term 1 0 2 (0, 2) Term 2 5 7 (5, 7) Term 3 10 12 (10, 12) Term 4 15 17 (15, 17) Term 5 20 22 (20, 22) Term 6 25 27 (25, 27) Term 7 30 32 (30, 32) 20 10 10 20 30

Kylie started with $2. Her brother Giovanni started with $7. Both will earn $2 each day for doing chores. How much will each have after five days? What relationship do you notice between how much each sibling has after each day? Day Kylie Giovanni Start $2 $7 (2, 7) 1 $4 $9 (4, 9) 2 $6 $11 (6, 11) 3 $8 $13 (8, 13) 4 $10 $15 (10, 15) 5 $12 $17 (12, 17) Giovanni’s Earnings Lesson 15. 3 – Example #2 Kylie’s Earnings

Lesson 15. 3 – Example #3

Lesson 15. 3 – Example #3 cont.

Lesson 15. 3 – Example #3 cont.

Lesson 15. 3 – Example #3 cont.

Lesson 15. 3 – Example #3 cont.

Lesson 15. 3 – Example #3 cont.

Guided Practice 15. 3 (15, 17) 7 9 11 15 13 17 Scott has always caught 2 more fish than Megan (27, 29))

7 9 11 15 13 17 (3, 5) (7, 9) (11, 13) (15, 17) Scott’s Fish Caught Guided Practice 15. 3 Megan’s Fish Caught

Lesson 15. 3 Analyze Patterns and Relationships Additional Resources Khan Academy “Graphing Sequence Relationships” https: //www. khanacademy. org/math/ccfifth-grade-math/imp-algebraic-thinking/imp-numberpatterns/v/sequence-relationship-example

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