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* *Reflection: Vertical Alignment
Language of Algebra with Real World Contexts - Section 1: Introduction

My plan for working with students on the Language of Algebra is to increase Rigor. I wanted this lesson to be more than just small phrases that the students matched symbols to words. These small phrases and matching is important from their prior knowledge, but I would like to take it further. I want students to be able to read word problems and be able to write equations and inequalities from their reading.

For example, scaffolding to be able to do the following:

- Write a Linear Equation from a word problem
- Write a System of Equations from a word problem
- Write a System of Linear Inequalities from a word problem

Looking ahead, I visualized Linear Programming Problems. Linear Programming problems require students to be able to write an equation for the Objective Function, and inequalities for the constraints given in the problem. Even though this lesson does not get to that level, it is an extension that I would like to add to this lesson. Not solving the Linear Programming problem, but just understanding how to write the equation and the inequalities for the problem.

*Knowledge of Vertical Alignment Can Increase Rigor*

*Vertical Alignment: Knowledge of Vertical Alignment Can Increase Rigor*

# Language of Algebra with Real World Contexts

Lesson 1 of 8

## Objective: SWBAT Translate words to math and math to words using correct operations, grouping symbols, and powers.

*50 minutes*

#### Introduction

*15 min*

In this lesson I introduce my students to the Language of Algebra and how they can use it to describe contexts in their every day lives. I start with a few scenarios on an Introduction page. I ask students to write an expression, equation, or inequality representing the scenario. Once the students get started, I will ask them to identify the equations and inequalities, then solve them.

I have students work independently for about five minutes. After they get a start, I will allow them to work with their table partner for a few more minutes. Once I am happy with students progress, I will ask students to share responses with the class as we review each scenario. The sequence takes about 15 minutes.

#### Resources

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#### Guided Notes

*15 min*

My students have been introduced to the Language of Algebra prior to my class, but I teach this lesson to help them recall and use the relevant vocabulary. Quick and precise recall of vocabulary is important when modeling and solving word problems. I want my students to be able to interpret problems in their own words, but write correct expressions, equations, and inequalities modeling problems.

The Guided Notes review vocabulary, with opportunities to compare terms that confuse my students. For some students this will be enough. I expect I will need to work with some students further, perhaps introducing a reading protocol to use when solving word problems. If so, I often begin with identifying key words in the reading and writing variable definitions, before writing the expressions, equations, and inequalities needed. Today, I will be listening and observing to see which students may require such scaffolding.

I review part of the Guided Notes presentation in the video below.

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#### Independent Practice

*20 min*

For today's Independent Practice, I plan for my students to complete several Khan Academy modules. Several of the practices chosen for today are review from Grades 6-8 content. My goal is to build confidence and to assess my students' fluency in using the Language of Algebra.

During this lesson I assign the following exercises as homework that is due in one week. I will link them below for you to view.

- Identifying parts of an expression
- Writing expressions
- Writing expressions 2
- Writing expressions with variables word problems
- Linear equation word problems
- Writing expressions with exponents
- Writing expressions with exponents word problems

I anticipated that several students will struggle with the Linear equation word problems module. I already plan to cover this topic during this unit, so their work on this module will serve as both a review of prior topics and a pre-test.

#### Resources

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##### Similar Lessons

###### What is Algebra?

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- UNIT 1: Introduction to Functions
- UNIT 2: Expressions, Equations, and Inequalities
- UNIT 3: Linear Functions
- UNIT 4: Systems of Equations
- UNIT 5: Radical Expressions, Equations, and Rational Exponents
- UNIT 6: Exponential Functions
- UNIT 7: Polynomial Operations and Applications
- UNIT 8: Quadratic Functions
- UNIT 9: Statistics

- LESSON 1: Language of Algebra with Real World Contexts
- LESSON 2: Review of Solving Linear Equations
- LESSON 3: Solving Linear Equations Stations Activity
- LESSON 4: Solving Linear Inequalities with a Comparison to Linear Equations
- LESSON 5: Algebraic Properties and Literal Equations
- LESSON 6: Solving Compound Inequalities
- LESSON 7: Solving Absolute Value Equations and Inequalities (Day 1 of 2)
- LESSON 8: Solving Absolute Value Equations and Inequalities (Day 2 of 2)