## One Step Equations Notes - Section 2: Explore

# One Step Equations

Lesson 1 of 22

## Objective: Students will be able to solve one step equations with rational coefficients and constants.

#### Launch

*10 min*

**Opener: **As students enter the room, they will immediately pick up and begin working on the opener – **Instructional Strategy - Process for openers**. This method of working and going over the opener lends itself to allow students to construct viable arguments and critique the reasoning of others, which is **mathematical practice 3**.

**Learning Target: **After completion of the opener, I will address the day’s learning targets to the students. For today's lesson, the intended target is “I can use inverse operations to solve a one-step equation.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day).

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#### Explore

*45 min*

**One Step Equations Notes: **One Step Equations Explore Narrative My main goal for going back to a one-step equation with students is to set up the "right" way (my way!) to show their work. In solving equations, it is very important that students pay close attention to the steps, signs, and equality in an equation (**mathematical practice 6**). Some students will say - I don't need to show my work - and maybe for these easier ones, they don't - BUT I want to set up good routines now! The largest issue I find as students begin these problems is learning how to "undo" a fractional coefficient - and showing one's work really helps students to see how to get rid of the fraction. As students begin working with the problems, they will be able to determine shortcuts and patterns in reasoning (**mathematical practices 7/8**). Students will be asked to persevere with problems (**mathematical practice 1**), specifically those containing decimals and fractions - I will go over the steps using integers - they are going to have to attack rational numbers on their own!

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#### Summary

*5 min*

**Instructional Strategy - Table Discussion: **To summarize this lesson, I am going to ask that students have a table discussion considering the question – how can you check your work to see if your answer is correct? For this discussion, I am going to give the tables a few minutes to talk over the question, and then I am going to have tables share out. I am looking for students to suggest substituting their answer for x back into the original equation to see if it works out.

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*Responding to Milan Harris*

Hi Milan! These aren't my lessons, but I don't think there is a way to find the answers without SMART Notebook. That being said, you can always download the software for SMART Notebook if your school offers it. You don't need a SMARTBoard to access SMART Notebook software.

| one year ago | Reply*Responding to Delia Herman*

Delia. Your resources are great. Thanks for sharing. If I don't have SMART Notebook, is there a way to locate the answers for the fill-in-the-blank notes?

| one year ago | Reply

Thanks for sharing your resources, Heather! Do you allow your students to use calculators for this lesson?

| 2 years ago | Reply*Responding to Tom Joannou*

Tom, if you click on the blanks in the Smart Notebook Document the words appear.

| 2 years ago | Reply

Hi Heather I enjoy your lessons. Getting back into the class room these really help. On the One-step equations do you have the answers to fill in the blank. This lesson on one-step is a great opener, but I am having problems with the fill in the blank box if you could supply the answers that would be greatly appreciated.

Thanks again for all that you do!

| 3 years ago | Reply*expand comments*

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- UNIT 1: Introduction to Mathematical Practices
- UNIT 2: Proportional Reasoning
- UNIT 3: Percents
- UNIT 4: Operations with Rational Numbers
- UNIT 5: Expressions
- UNIT 6: Equations
- UNIT 7: Geometric Figures
- UNIT 8: Geometric Measurement
- UNIT 9: Probability
- UNIT 10: Statistics
- UNIT 11: Culminating Unit: End of Grade Review

- LESSON 1: One Step Equations
- LESSON 2: One Step Practice - If you are allowed to use tools....USE THEM!
- LESSON 3: MORE One-Step Equations - All Scrambled Up!
- LESSON 4: One Step Equations Review - Relay Race!
- LESSON 5: One Step Equations with Rational Numbers - TEST
- LESSON 6: Two Step Equations
- LESSON 7: More Two Step Equations Practice
- LESSON 8: Equations with Distributive Property
- LESSON 9: One and Two Step Equations Review
- LESSON 10: One and Two Step Equations Test
- LESSON 11: Applications of One Step Equations
- LESSON 12: Word Problems with Equations
- LESSON 13: More Real World Equations - Fluency Practice
- LESSON 14: Applications of Equations Review
- LESSON 15: Real World Applications Test
- LESSON 16: Inequalities
- LESSON 17: Inequalities - Negative Rule
- LESSON 18: Inequalities - Fluency Practice
- LESSON 19: Inequality Applications
- LESSON 20: Inequalities Review
- LESSON 21: Inequalities Test
- LESSON 22: Equations and Inequalities - 5 Days of Centers