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* *Reflection: High Expectations
Exponential and Logarithmic Functions Review Day 1 - Section 1: Warm Up and Homework Review

I am constantly trying to improve my student’s ability to explain their thinking in writing. My warm ups are a regular part of this. I think today’s warm up is so rich because students not only review how to simplify a rational exponent but also compare the expressions' structure to figure which is the largest. I had a lot of students that just did the problems and then compared them like Warm Up 1. This did give them a review but they didn’t use many higher level thinking skills. Many students, like Warm Up 2 and Warm Up 3, gave me some amazing thinking (correct and incorrect) without solving at all. I also had a few that solved them and justified their reasoning like Warm Up 4. I think this was the best and most advanced method that I would love to see all my students achieve. To increase the understanding of the class and hopefully improve future responses, I picked several particularly exemplary students to share out.

# Exponential and Logarithmic Functions Review Day 1

Lesson 13 of 15

## Objective: Students will be able to review the objectives covered in this unit.

*41 minutes*

I include **Warm ups** with a **Warm up Rubric** as part of my daily routine. My goal is to allow students to work on **Math Practice 3** each day. Grouping students into homogeneous pairs provides an opportunity for appropriately differentiated math conversations. The Video Narrative explains this lesson’s Warm Up- Exponential and Logarithmic Function Review Day 1 which asks students to compare several expressions containing rational exponents.

I also use this time to correct and record the previous day's Homework.

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#### Pass The Paper

*30 min*

This review activity will be started on the first day of the review and completed on the second day. I call this a Pass the Paper activity. Each page has two review problems. In pairs (my students are already grouped into homogeneous pairs), they will solve the problems together. If there is only one step, they will complete that step on the paper in front of them and then pass it to their partner to be checked (**Math Practice 3**). If there is more than one step, they will do one step of the problem and then pass it to their partner. Their partner will check the first step and then do the next step. They will continue to pass the papers back and forth until the problems are completed.

I then pick two people from a random grouping to put the problems onto the board and then explain them to the class. A good strategy here would be to have a roster and mark off students as they present on the board. This makes sure that all students have the opportunity to participate. At the end of the review, the papers are stapled together and turned in for a grade. I have included one set of problems per problem type. Additional problems could be presented if it seems evident that the students need more practice on a specific type of problem.

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#### Homework

*1 min*

This assignment is a common style of review that I use for all of my units. For more information, please check out Practice Test.

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#### Exit Ticket

*5 min*

For an exit ticket, ask the students to list those problems that they would like additional practice with. This information can lead the review for the next day.

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- UNIT 1: Modeling with Expressions and Equations
- UNIT 2: Modeling with Functions
- UNIT 3: Polynomials
- UNIT 4: Complex Numbers and Quadratic Equations
- UNIT 5: Radical Functions and Equations
- UNIT 6: Polynomial Functions
- UNIT 7: Rational Functions
- UNIT 8: Exponential and Logarithmic Functions
- UNIT 9: Trigonometric Functions
- UNIT 10: Modeling Data with Statistics and Probability
- UNIT 11: Semester 1 Review
- UNIT 12: Semester 2 Review

- LESSON 1: Rational Exponents
- LESSON 2: Real Number Exponents
- LESSON 3: Exponential Models Day 1 of 2
- LESSON 4: Exponential Models Day 2 of 2
- LESSON 5: Exponential Functions
- LESSON 6: Exponential Decay Functions
- LESSON 7: Simplifying Logarithms
- LESSON 8: Exponential and Logarithmic Equations
- LESSON 9: Logarithmic Functions
- LESSON 10: Exponential Growth and Interest Day 1 of 2
- LESSON 11: Exponential Growth and Interest Day 2 of 2
- LESSON 12: Natural Logarithms
- LESSON 13: Exponential and Logarithmic Functions Review Day 1
- LESSON 14: Exponential and Logarithmic Functions Review Day 2
- LESSON 15: Exponential and Logarithmic Functions Test