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Unit 1, Lesson 3, Investigation 1: Comparison Shopping

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Ithaca High School Lesson Plans

Content Standards and Benchmarks:

I,1,4: Explore patterns (graphic, numeric, etc.) characteristic of families of functions; explore structural patterns within systems of objects, operations or relations.

          I,2,2: Develop a  mathematical concept of function and recognize that functions display characteristic patterns of change (e.g., linear, quadratic, exponential).

          I,2,6: Increase their use of functions and mathematical models to solve problems in context.



After a class discussion regarding variables that are linked in a real world situation students will be accustomed to thinking about the possible different variables that are related to situation.

After doing Investigation 1, L1, U1 students will be able to express and solve scenarios using equations and inequalities. 


Anticipatory Set:

        “How was your weekend? What did you do?”

        Warm-up: hand back and review quiz


Introduction to Lesson:

Class Discussion: regarding leasing a vehicle

    Vehicle expenses

    Terms of contract

    Pros and cons of alternative options



Students will begin investigation 1 of lesson 3 today.  I will guide them to a deeper understanding of how to model scenarios mathematically by giving multiple representations of how to set up equations using numbers and variables and by asking carefully designed questions.


Guided Practice:

Students will work through the next few problems in the text as I circulate and guide them through the problems. 


Independent practice:

           Students will be assigned the OYO on page 49 and the Area packet of problems 1-3, 4bdefh, 5, 7-10


     Discuss with the class when to use what types of equations or inequalities and how to set them up.

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