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Understanding Graphs, Relations, and Functions in Algebra

This lesson focuses on graphing relationships, identifying functions, and understanding the concepts of domain and range in algebra. Students will enhance their skills by matching simple graphs to written situations and graphing various relationships. Essential questions will guide the learning process, exploring why graphs are useful and the importance of domain and range in functions. Through various practice activities, quizzes, and problem-solving exercises, students will be equipped to describe and analyze relationships represented in graphical form.

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Understanding Graphs, Relations, and Functions in Algebra

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  1. Algebra 4.1 and 4.2 4.1 Graphing Relationships 4.2 Relations and Functions

  2. Learning Targets 4.1 Language Goal • Students will be able to match simple graphs with written situations. Math Goal • Students will be able to graph a relationship. Essential Question • Why would we need to make a graph of a situation?

  3. Learning Targets 4.2 Language Goal • Students will be able to identify functions and describe relationships. Math Goal • Students will be able to find the domain and range of relations and functions. Essential Question • What role do domain and ranges play in determining a function?

  4. Warm-up

  5. Warm-up 4.2

  6. Go Over Chapter 3 Test

  7. 4.1 Vocabulary • Continuous Graph • Discrete Graph Graphs with connected lines or curves. Graphs with distinct points.

  8. Key Words Rise, Grow, Go up Drop, Go Down Unchanged, Constant

  9. Let’s Practice

  10. Let’s Practice

  11. Let’s Practice

  12. Your Turn! 4.1 WS

  13. Your Turn! 4.1 WS

  14. Your Turn! 4.1 WS

  15. 4.1 Problem Solving

  16. 4.1 Problem Solving

  17. Vocabulary 4.2 Relation: Domain: Range: Function A set of ordered pairs The set of first elements (or x-coordinates) of the ordered pairs in a relation. The set of second elements (or y-coordinates) of the ordered pair in a relation A relation that pairs each domain value with exactly one range value.

  18. Key Words 4.2

  19. 4.2 Practice B

  20. 4.2 Practice B

  21. 4.2 Problem Solving WS

  22. 4.2 Problem Solving WS

  23. Lesson Quiz 4.1

  24. Lesson Quiz 4.2

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