| 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 | Inequalities |
| What length (min) | 40 |
| What age group | Year or Grade 8 |
| Class size | 21 |
| What curriculum | All things Algebra |
| 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 | 12 |
| Create fill-in cards for students | |
| Create creative backup tasks for unexpected moments |
Mathematics
Inequalities
Year 8 (Grade 8)
40 minutes
21
All Things Algebra
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction to Inequalities | 10 min | Introduce the concept of inequalities, explain symbols (>, <, ≥, ≤), and real-life applications. Use examples on the whiteboard. |
| 2 | Printable Card Activity | 5 min | Distribute printable cards. Instruct students to fill in the cards with examples of inequalities based on given scenarios. |
| 3 | Group Task | 15 min | Divide students into small groups (4-5 students each). Give them a worksheet with various inequality problems to solve collaboratively. Monitor and assist as needed. |
| 4 | Collecting Printable Cards | 5 min | Randomly check the filled-in printable cards for understanding and accuracy. Collect cards from selected students for review. |
| 5 | Homework Assignment | 5 min | Assign homework related to inequalities with no presentations. Briefly explain the expectations and due date. Check for understanding before concluding the lesson. |
"Good morning, class! Today, we’re going to explore the world of inequalities in mathematics. How many of you have heard the term 'inequality' before?"
[Pause for responses.]
"Great! Inequalities compare two values, showing if one is greater than, less than, or equal to the other. The symbols we use are as follows: '>' means greater than, '<' means less than, '≥' means greater than or equal to, and '≤' means less than or equal to."
[Draw examples on the whiteboard to illustrate these symbols.]
"For instance, if I say '5 > 3', I mean that 5 is greater than 3. Can anyone give me an example of an inequality from real life?"
"Excellent! We often see these in situations like comparing ages or scores in a game. Now that you have an idea about inequalities, let’s get hands-on with a fun activity."
"Next, I'm going to hand out printable inequality cards. Each card has a scenario, and your job is to fill in the card with the corresponding inequality."
[Distribute the printable cards to each student.]
"Take a moment to read your scenario carefully, and then write down the inequality that represents it. You have 5 minutes for this task, so let's get started!"
"Great job with the cards, everyone! Now, we’ll shift gears and work together in small groups. I want you to form groups of 4 to 5 students."
"Each group will receive a worksheet with various inequality problems to solve collaboratively. Remember, it’s essential to discuss your thought processes and understand how each problem relates to inequalities."
"You have 15 minutes to complete these problems. I’ll be walking around to monitor your progress and to assist you if you have questions. Let's collaborate and solve these problems together!"
"Time’s up on the group task! Now, let’s take a moment to check the inequality cards you filled out earlier. I will randomly check some of your cards."
"Thank you for sharing! It’s important to ensure that we all have a solid understanding of these concepts. I will collect some of your cards for review, so make sure you've written your name on them."
"Before we end today’s lesson, I want to assign a homework task related to inequalities. You will need to solve a set of problems I will hand out now. Make sure you complete all the questions, and they will be due next class."
"I expect you to show your working out for each problem, as it is crucial for understanding. Do we have any questions about the homework?"
"Thank you for your participation today! Remember to review what we learned about inequalities, and I'll see you in the next class. Have a great day!"
| Slide Number | Image | Slide Content |
|---|---|---|
| 1 | {Image: A classroom setting with students} | - Introduction to inequalities in mathematics. - Purpose of inequalities: Compare two values. - Symbols: - '>' means greater than - '<' means less than - '≥' means greater than or equal to - '≤' means less than or equal to |
| 2 | {Image: A whiteboard with inequality symbols} | - Example: '5 > 3' indicates that 5 is greater than 3. - Real-life examples of inequalities: - Comparing ages - Game scores |
| 3 | {Image: Printable inequality cards} | - Activity: Fill in printable inequality cards. - Instructions: Read scenarios and write corresponding inequalities. - Time: 5 minutes for completion. |
| 4 | {Image: Students working on cards} | - Students working independently to fill out cards. - Encouragement to ask questions if needed. |
| 5 | {Image: Students forming groups} | - Transition to group task: Form groups of 4 to 5. - Collaborative worksheet with inequality problems. - Importance of discussing thought processes. |
| 6 | {Image: Group of students discussing} | - Collaboration within groups. - Monitor progress and provide assistance. - Time allotted: 15 minutes. |
| 7 | {Image: Students collecting cards} | - Time to collect printable cards for review. - Randomly check cards to ensure understanding. - Importance of sharing examples aloud. |
| 8 | {Image: Cards being collected} | - Collecting cards for assessment. - Reminder to have names written on cards. |
| 9 | {Image: Homework sheets being handed out} | - Homework assignment: Solve set of inequality problems. - Importance of showing work for understanding. |
| 10 | {Image: Student raising hand with questions} | - Addressing questions regarding homework. - Emphasis on clarity and importance of the assignment. |
| 11 | {Image: A teacher concluding a lesson} | - Thanking students for participation. - Reminder to review inequalities. - Looking forward to the next class. |
| 12 | {Image: Students leaving the classroom} | - End of the lesson recap. - Key takeaways: - Understanding inequalities - Importance of practice and collaboration. |
Write the inequality that represents the following scenario: Sarah has 10 apples, and she wants to have more than 15 apples.
Represent the statement "A number x is less than or equal to 20" as an inequality.
If the height of a plant is 30 inches, and it needs to grow to at least 45 inches, write an inequality to represent the situation.
Create a real-life scenario that can be represented by the inequality 3y > 12. Write the scenario and the corresponding inequality.
Solve the inequality: 5x - 2 ≤ 13. What is the solution set for x?
A student scores 85 points on a test. Write an inequality to represent that the student needs a score greater than 90 to pass.
If the price of a book is $18 and you have $15, write an inequality that represents whether you have enough money to buy the book.
The temperature today is 50°F. If it is predicted to drop to below 30°F, write an inequality to describe this situation.
If 4n + 8 < 32, what is the value of n?
Create an inequality based on the following situation: A runner completes a 5K race in less than or equal to 30 minutes.
| Question | Answer |
|---|---|
| What do the symbols '>', '<', '≥', and '≤' represent in inequalities? | |
| Can you provide a real-life example of an inequality? | |
| What is the significance of representing inequalities? | |
| How do you fill in an inequality card based on the scenario provided? | |
| Why is collaboration important when solving inequality problems in groups? | |
| What steps will you take to ensure you understand the inequalities you are working on? | |
| What are the requirements for the homework assignment related to inequalities? | |
| Why is showing your work important when solving problems? | |
| How do inequalities relate to comparing values in everyday situations? | |
| What strategies can you use to discuss your thought processes with your group? |
Can you think of a time when you compared two things in your daily life, and how would you represent that comparison using an inequality symbol?
If I say that the temperature today is less than 70 degrees Fahrenheit, how would that look in inequality format?
Why do you think inequalities are important in real-world situations, such as budgeting or planning events?
If your height is 5 feet and your friend's height is 5 feet 3 inches, how could you write an inequality to represent the relationship between your heights?
Imagine a scenario where a video game requires a score of at least 100 points to win. How could you express this requirement as an inequality?