| Full lesson | Create for a teacher a set of content for giving a lesson, beginning with the lesson plan. Each new block of materials must begin with an H1 heading (other subheaders must be H2, H3, etc). When you describe required pictures, write those descriptions in curly brackets, for example: {A picture of a triangle} |
| Which subject | Mathematics |
| What topic | Solve one step equations |
| What length (min) | 30 |
| What age group | Year or Grade 9 |
| Class size | 20 |
| What curriculum | |
| Include full script | |
| Check previous homework | |
| Ask some students to presents their homework | |
| Add a physical break | |
| Add group activities | |
| Include homework | |
| Show correct answers | |
| Prepare slide templates | |
| Number of slides | 5 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Mathematics
9th Grade
30 minutes
20
This lesson aligns with the Common Core State Standards for Mathematics, specifically focusing on solving equations and understanding algebraic principles.
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 mins | Briefly introduce the topic of one-step equations and their relevance in real-life scenarios. Explain the objective of the lesson. |
| 2 | Homework Review | 5 mins | Check the homework from the previous lesson without calling on students. Instead, provide general feedback and address common errors. |
| 3 | Direct Instruction | 10 mins | Demonstrate how to solve one-step equations using various operations. Use examples on the whiteboard and guide students through the process. |
| 4 | Printable Cards Activity | 5 mins | Hand out printable cards to each student containing sections for practice problems. Instruct them to fill out the equations during the lesson. |
| 5 | Guided Practice | 3 mins | Walk around and provide support as students solve a few example problems on their cards. Answer questions as needed. |
| 6 | Random Checking | 2 mins | Collect or randomly check a few of the filled cards to assess understanding and correct any misconceptions. |
| 7 | Assignment of Homework | 2 mins | Assign homework related to one-step equations for continued practice. Ensure all students understand what is expected. |
| 8 | Conclusion | 1 min | Summarize the key points of the lesson and revisit the objectives to ensure they have been met. Encourage questions. |
“Good morning, class! Today we are going to dive into a very important topic in mathematics: one-step equations. One-step equations are mathematical statements that show the relationship between two expressions connected by an equal sign. You'll find that these equations are not just limited to our math books; they play a significant role in real-life scenarios, like calculating expenses or determining scores in games. By the end of today’s lesson, you'll be able to solve one-step equations using addition, subtraction, multiplication, and division, and we’ll also connect them to word problems. Are you ready to get started?”
“Before we jump into today’s topic, let’s take a quick look at the homework you completed last night. I’ll share some general feedback instead of calling on individuals. Many of you did a great job, but I noticed a few common mistakes, especially with the signs in subtraction equations. Remember, if you subtract a negative, it becomes addition! Keep that in mind as we move forward. If you have any specific questions about the homework, please feel free to ask me after class. Let’s move on!”
“Now, let’s go through how to solve one-step equations. I’ll write a few examples on the whiteboard, and I’d like you to follow along.
First, let's look at an equation: ( x + 5 = 12 ). To solve for ( x ), we need to isolate it. This means we have to get ( x ) by itself on one side of the equation. We do this by subtracting 5 from both sides. So, we write: [ x + 5 - 5 = 12 - 5 ] This simplifies to ( x = 7 ).
Next, let’s consider multiplication. If we have ( 4x = 20 ), to find ( x ), we divide both sides by 4: [ 4x \div 4 = 20 \div 4 ] Which simplifies to ( x = 5 ).
Let’s practice this procedure together on the next example. I’ll write a few more on the board, and I’d like you to solve them in your notebooks. Remember, the key is to do the opposite operation to isolate the variable. Great! Let’s make sure we all understand before moving on. Does anyone have questions about solving these types of equations?”
“Now, I’m going to hand out printable cards. Each of these cards contains a few different practice problems. Your task is to fill out these equations as we go through the lesson. Make sure to write down the steps you take to solve each one. Don’t worry, we’ll work on these together! Get your cards, and let’s get started!”
“Alright, everyone! Now it’s time for some guided practice. I want you to take a few minutes to work on solving the equations on your cards. While you’re doing that, I’ll walk around to check in with each of you and answer any questions you might have. Remember to show your work clearly, so you can follow your thought process when we review them together.”
“Okay, I hope you all had some success with those problems! I’ll be coming around to randomly check a few of your cards to see how you’ve done. I’m looking for your solutions and the steps you wrote down. Don’t be shy—there’s no right or wrong, just opportunities to learn. If I notice any misconceptions, we can address them together!”
“Great job today, everyone! I’d like to assign some homework that aligns with what we’ve learned. You’ll have a worksheet featuring one-step equations to practice solving. Make sure you read the instructions carefully, and I want you to complete this for next time. If you have questions about the homework, let me know now or after class.”
“Before we wrap up, let’s briefly summarize what we accomplished today. We started by understanding the concept of one-step equations, practiced solving them through direct instruction and activities, and even connected them to real-world applications! Remember, the skills we've worked on today help you become more confident in algebra. Do you have any questions about what we covered? If so, let’s discuss them!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom setting with a whiteboard} | - Introduction to one-step equations - Importance of equations in real-life scenarios - Overview of learning objectives for the day |
| 2 | {Image: Homework assignment on a desk} | - Review of homework completion - Common mistakes with signs in subtraction - Reminder: subtracting a negative becomes addition |
| 3 | {Image: A math whiteboard with equations} | - Step-by-step guide to solving one-step equations - Example: ( x + 5 = 12 ) leading to ( x = 7 ) - Example: ( 4x = 20 ) leading to ( x = 5 ) |
| 4 | {Image: Printable cards with math problems} | - Introduction to the printable cards activity - Instructions to fill out equations during the lesson - Encouragement to show all steps while solving |
| 5 | {Image: Students working in class} | - Guided practice session - Importance of showing work - Summary of what was achieved and reminders for upcoming homework |
Solve the equation: ( x + 7 = 15 ). What is the value of ( x )?
Solve the equation: ( y - 3 = 10 ). What is the value of ( y )?
Solve the equation: ( 5z = 40 ). What is the value of ( z )?
Solve the equation: ( \frac{m}{4} = 6 ). What is the value of ( m )?
A number decreased by 8 is equal to 5. Write this as an equation and solve for the number.
If you multiply a number by 3, you get 21. Write this as an equation and find the number.
Solve the equation: ( x - 9 = -1 ). What is the value of ( x )?
If ( 2p = 18 ), what is the value of ( p )?
A student scored 12 points in a game, which is 4 points less than what they scored last game. Write this situation as an equation and solve for the score from last game.
A number plus 10 equals 25. What is the number? Write the equation and solve for the number.
( x = 8 )
( y = 13 )
( z = 8 )
( m = 24 )
Number = 13
Number = 7
( x = 8 )
( p = 9 )
Score from last game = 16 points
Number = 15
| Question | Answer |
|-------------------------------------------------------------------------|--------|
| What is a one-step equation? | |
| How do you isolate a variable in an equation? | |
| What is the first step in solving the equation \( x + 5 = 12 \)? | |
| When you subtract a negative number, what operation does it become? | |
| How do you solve the equation \( 4x = 20 \)? | |
| What operation do you perform to both sides of an equation? | |
| Why is it important to write down the steps for solving equations? | |
| What kind of real-life scenarios can one-step equations be applied to? | |
| How did we practice one-step equations in class today? | |
| What should you do if you have questions about the homework? | |Can anyone give me an example of a real-life situation where you might need to solve a one-step equation?
If we had the equation ( x - 3 = 10 ), what steps would you take to isolate ( x )?
How would you explain to someone why subtracting a negative number is the same as adding?
Imagine you have ( 5x = 30 ). What would be the opposite operation you would use to solve for ( x ), and why is it important to know this?
In the equation ( x + 7 = 14 ), if you were to check your answer after solving for ( x ), what would you do?