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Evaluating Algebraic Expressions: A Fun Lesson with Marvin the Math Magician

In this engaging lesson, students will learn to evaluate algebraic expressions through various shopping scenarios with Marvin the Math Magician. Starting with a practical example of buying exploding pens, students will be guided to formulate numerical expressions and use algebraic expressions to solve real-world problems. The lesson includes steps for evaluating expressions while reinforcing the concept of substitution. By the end, students will be able to confidently describe and evaluate algebraic expressions, applying mathematical operations to solve for costs in different scenarios.

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Evaluating Algebraic Expressions: A Fun Lesson with Marvin the Math Magician

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Presentation Transcript

  1. 21st Century Lessons Evaluating Expression Davis/Morton

  2. Warm Up OBJECTIVE: SWBAT evaluate algebraic expressions. Language Objective: SWBAT describe the steps to evaluating expressions. A magic store is selling exploding pens for $3 each plus $1 for tax. Kyle thinks you can figure out the cost of 10 pens with the below. numerical expression Quick Discussion: Algebraic Expression? Do you agree or disagree? Explain. 3p+1 Click to reveal next part Agenda

  3. Launch- Shopping with Marvin Marvin the Math Magician has a problem for you. He wants to buy some magic wands and some magician hats. The wands cost $8 each and $5 for each hat. How much will Marvin have to pay for 12 wands and 7 hats? Agenda

  4. Launch- Shopping with Marvin How did you get your answer? The wands cost $8 each and $5 for each hat. How much will Marvin have to pay for 12 wands and 7 hats? How can we write a to show our answer of 131? numerical expression Click to reveal next part Agenda

  5. Explore 1- Evaluating with Marvin How much will Marvin have to pay for 6 wands and 3 hats? Write an numerical expression to find the answer. Remember: the wands cost $8 each and $5 for each hat. Click to reveal next part Agenda

  6. Explore 1- Evaluating with Marvin The wands cost $8 each and $5 for each hat. Numerical Expression 7 7 12 12 12 wands 7 hats 3 3 6 6 6 wands 3 hats What changed in the two examples? Sometimes it helps to represent a problem as an algebraic expression. 8w+5h w= # of wands h= # of hats Click to reveal next part Agenda

  7. Explore 1- Evaluating with Marvin How much will Marvin have to pay for 10 wands and 2 hats? w = 10 h = 2 Algebraic Expression This is called substitution!! h w 2 10 We just evaluated the expression. Click to reveal next part evaluate Agenda

  8. Explore 1- Evaluating with Marvin Find the cost of buying 9 wands and 7 hats. Steps: 1. Copy the expression. 9 w= 7 h= h 7 w 9 2. Substitute the value in for the variable. 3. Evaluate using the order of operations. Click to reveal next part Agenda

  9. Solve when a=10 and b =7

  10. Exit Slip Kiara was asked to evaluate the expression . Her answer was 14. Did she substitute 11, 13, or 15? How do you know? Answer : 13 27 – 13 14 Agenda

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