## Modeling with Algebra Unit Test - SOLUTIONS.docx - Section 1: Administering the Test

*Modeling with Algebra Unit Test - SOLUTIONS.docx*

# Unit Test

Lesson 15 of 15

## Objective: SWBAT demonstrate mastery of the essential concepts and skills they studied throughout this unit.

*45 minutes*

#### Administering the Test

*45 min*

Students will need a calculator and straightedge for this test, and as much time as you can give them! 45 minutes is sufficient, but be sure that they get started as quickly as possible so no time is wasted.

Also, since a major part of the test consists in graphing a system of inequalities, it would be a good idea to separate students so that they do not inadvertently see the shape of the solution set on another student's paper. This solution set is the one pictured in the lesson image.

I found that some of my students needed me to explain more clearly what was expected in problem 3. The point here is simply to state whether or not the given numbers of candies will satisfy the conditions. See the solutions document for the kinds of answers I'm looking for.

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With modeling problems, a small error in the beginning can have major consequences in the end. Since this is a test, and there are few opportunities for self-correction, I do my best not to let one small mistake lead to a very poor grade.

For example, when students are asked to create an inequality to represent one of the conditions in problem 2, I assign points to the various parts. +1 for the terms "4j" and "s", +1 for "greater than", and +1 for "or equal to." If a student mistakenly writes the equation "4s < j", their answers to problems 3, 4 and 5 are all going to be affected. In this case, I will deduct points in problem 2, but they may receive full credit for the rest if they make use of this inequality correctly.

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- UNIT 1: Modeling with Algebra
- UNIT 2: The Complex Number System
- UNIT 3: Cubic Functions
- UNIT 4: Higher-Degree Polynomials
- UNIT 5: Quarter 1 Review & Exam
- UNIT 6: Exponents & Logarithms
- UNIT 7: Rational Functions
- UNIT 8: Radical Functions - It's a sideways Parabola!
- UNIT 9: Trigonometric Functions
- UNIT 10: End of the Year

- LESSON 1: What is Algebra?
- LESSON 2: The Music Shop Model, Day 1 of 2
- LESSON 3: The Music Shop Model, Day 2 of 2
- LESSON 4: Letters & Postcards, Day 1 of 2
- LESSON 5: Letters & Postcards, Day 2 of 2
- LESSON 6: Choose Your Own Adventure
- LESSON 7: What Goes Up, Day 1 of 3
- LESSON 8: What Goes Up, Day 2 of 3
- LESSON 9: What Goes Up, Day 3 of 3
- LESSON 10: The Constant Area Model, Day 1 of 3
- LESSON 11: The Constant Area Model, Day 2 of 3
- LESSON 12: The Constant Area Model, Day 3 of 3
- LESSON 13: Practice & Review, Day 1 of 2
- LESSON 14: Practice & Review, Day 2 of 2
- LESSON 15: Unit Test