## Student Grouping - Section 1: Warm Up and Homework Review

# Simplifying Logarithms

Lesson 7 of 15

## Objective: Students will be able to define and simplify logarithms.

*116 minutes*

#### Warm Up and Homework Review

*10 min*

I include **Warm ups** with a **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-Simplifying Logarithms which asks students to compare two exponential equations.

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

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#### The History of Logarithms

*30 min*

This lesson begins with a history lesson through a short YouTube video.

Logarithms are more meaningful when they are viewed in their proper place in history. There are links to both the video and some addition historical information in the PowerPoint and at the end of this lesson plan.

#### Resources

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#### Introduction to Logarithms

*40 min*

The next step is to create a sense of how logarithms are constructed (**Math Practice 2**). I have found it is extremely important to focus on the fact that the answer to a logarithm is the exponent. This takes them from being a mysterious unknown into something the students can feel comfortable with.

Detailed presentation notes are included in the PowerPoint.

#### Resources

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#### Guided Practice

*30 min*

The remainder of the lesson consists of Guided Practice. We now practice converting logarithms to exponents and vice versa. The final part of this lesson has students simplifying basic logarithms without a calculator. Some of these may be tricky to the students. I remind them that they can transform them from exponential to logarithmic form and vice versa.

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#### Exit Ticket

*5 min*

I use an exit ticket each day as a quick formative assessment to judge the success of the lesson.

This Exit Ticket is checking that students know what a logarithm is asking as well as how to simplify it.

#### Resources

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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