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Exploring Vertical Translation in Functions: Outfit Combinations and Mathematical Connections

This lesson explores the connections between rules for functions related by vertical translation through practical applications. Students will analyze how Mark can create different outfits using combinations of pants, shirts, ties, and shoes. With a warm-up activity calculating possible outfits based on given clothing items, students will then engage in discussions surrounding mathematical concepts noted in their investigations and summative activities from the provided pages. This collaborative approach encourages deeper understanding of mathematical relationships as related to real-life scenarios.

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Exploring Vertical Translation in Functions: Outfit Combinations and Mathematical Connections

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  1. Customizing Models I EQ: What are the connections between rules for functions whose graphs are related by vertical translation? Warm-up Mark had 4 pairs of pants, 6 shirts, 5 ties, and 2 pairs of shoes. How many different outfits of 1 pair of pants, 1 shirt, 1 tie, and 1 pair of shoes can Mark make?

  2. On Your Own

  3. Activating Activity Read page 26 silently and complete the "Think About This Situation". Once you have completed the "TATS", discuss the questions with your group.

  4. Investigation 1 Now complete Inv. 1.

  5. Summarizing Activity With your shoulder partner, discuss the "Summarize the Mathematics". Be prepared to share out.

  6. Check for Understanding (2) Work on "CYU" page 31

  7. Homework "OYO" page 41-42 (1-6)

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