| 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 | Absolutely values |
| What length (min) | 30 |
| What age group | Year or Grade 7 |
| 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
Absolutely Values
Year or Grade 7
30 minutes
20
| Step Number | Step Title | Length | Details |
|---|---|---|---|
| 1 | Introduction | 5 minutes | Introduce the concept of absolute value through examples. Use the number line to show distances from zero. |
| 2 | Explanation of Absolute Value | 10 minutes | Define absolute value formally and discuss its properties. Provide examples and non-examples. |
| 3 | Guided Practice | 8 minutes | Work through several problems as a class. Use the whiteboard to demonstrate calculations and engage students. |
| 4 | Independent Practice | 5 minutes | Distribute handouts for students to work on practice problems individually. Walk around to provide support. |
| 5 | Assign Homework | 1 minute | Briefly explain the homework assignment and clarify that it will be checked the next class without presentations. |
| 6 | Conclusion/Recap | 1 minute | Summarize key points from the lesson and ask if there are any questions. |
Ensure to monitor student engagement during independent practice and provide feedback where necessary. Encourage questions and clarify doubts about absolute values.
"Good morning, everyone! Today we are going to dive into an important concept in mathematics: absolute value. Can anyone tell me what they think absolute value means? (Pause for responses)
Great! To help us understand, let’s take a look at the number line. (Draw a number line on the whiteboard.)
Alright, imagine we have the number zero in the middle. Absolute value is the distance a number is from zero, regardless of direction. So, what is the absolute value of -3? (Wait for responses) Yes, it is 3 because it is three units away from zero. Similarly, what about the absolute value of 3? (Await responses) Exactly! It’s also 3.
Absolute value is always non-negative, meaning it’s either zero or a positive number. Let’s explore this concept further."
"Now that we’ve introduced the idea, let’s formally define absolute value.
Absolute value is a function that assigns a non-negative value to each real number, and it is denoted by two vertical bars. For example, the absolute value of x is written as |x|.
Let’s look at some examples:
Good! Now, here are some quick properties to remember: the absolute value of any positive number is the number itself, the absolute value of any negative number is that number turned positive, and we always have |x| ≥ 0.
Can anyone think of any examples of numbers that would not be absolute values? (Pause for responses) Right! Any negative number would not be an absolute value.”
"Let's do some practice together. I’ll write some numbers on the board and I want you to calculate their absolute values. (Write -7, 4, 0, -15 on the board.)
Please raise your hand when you have calculated the absolute value for each number.
Great job, everyone! Now I want to show you how this can relate to real-world situations. If a temperature drops to -10 degrees, what’s the absolute value of this temperature? (Pause for answers) Correct! It would be 10 degrees, which tells us the distance from zero degrees."
"Now it’s your turn! I’m handing out practice problems for you to solve individually. Take a few minutes to work on these problems, and remember to apply what we just learned about absolute values.
If you need any help, don’t hesitate to raise your hand and I’ll come around to assist. You have about 5 minutes to complete these problems. Go ahead!"
"Time's up! Please put your practice problems away. For homework tonight, you will complete a worksheet that reinforces what we learned today about absolute values.
This worksheet will be checked in our next class, so please make sure to do your best. There won’t be any presentations, but I will be collecting your work. If you have any questions about the homework, feel free to ask!"
"To wrap up today’s lesson, let’s quickly summarize what we learned. We defined absolute value, understood that it represents distance from zero, and practiced calculating it with several examples.
Before we finish, does anyone have any questions about what we’ve covered? (Wait for questions)
Thank you for your participation today! I look forward to seeing your homework in our next class!"
Define absolute value in your own words.
What is the absolute value of the following numbers?
a) -8
b) 12
c) -0.5
d) 7
True or False: The absolute value of any negative number is always less than zero. Explain your reasoning.
Given the real-world scenario: A diver is at a depth of -15 meters. What is the absolute value of the diver’s depth?
Explain why the absolute value is always non-negative.
Calculate the following:
a) | -2 - 5 |
b) | 9 + (-4) |
If the absolute value of a number is 10, what are the possible values for that number?
Create a number line and plot the absolute values of -6, 3, and 0.
Write a short paragraph explaining how understanding absolute value could be useful in everyday life.
Provide an example of a situation where knowing the absolute value of a temperature might be important.