Mat102 20140826 - solving 2-step linear inequations
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Transcript of Mat102 20140826 - solving 2-step linear inequations
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Do Now
Hand in your worksheets which you completed over the weekend.
Complete as much of the timetables worksheet as you can and then glue it into your books.
You have 3 minutes
Saturday, 8 April 2023
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By the end of this lesson, I will be able to solve 1-step linear inequations
Complete the puzzle in your groups.
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By the end of this lesson, I will be able to solve 1-step linear inequations
Point check:
Take 4 pieces of paper, write your name at the top and the date.
Answer 1 question on each piece of paper.
This is a small test to see how much you know, so no talking or copying.
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By the end of this lesson, I will be able to solve 2-step linear inequations
To do this, we must be able to solve 2-step equations:
To warm up, try these:
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By the end of this lesson, I will be able to solve 2-step linear inequations
Check:
I have the correct answer,
Read the equation starting with the unknown, and undo the last thing that was done before the .
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By the end of this lesson, I will be able to solve 2-step linear inequations
How could you check that your answer is correct?
Discuss in your groups and be able to explain your answer on the board.
Read the equation.
What do you notice?
Let’s collect like terms first
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By the end of this lesson, I will be able to solve 2-step linear inequations
What happens when we end up with a negative
Take a look at this:
If we multiplied both sides by -1, what happens?
But is still true?
What could we do to make this true?
NO!!!
¿ Flip the sign
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By the end of this lesson, I will be able to solve 2-step linear inequations
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By the end of this lesson, I will be able to solve 2-step linear equations involving addition
Sometimes, you will have to do 2 steps instead of 1.
Check:
I have the correct answer,
Try for yourself
Read the equation starting with the unknown, and undo the last thing that was done.
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By the end of this lesson, I will be able to solve 2-step linear equations involving addition
Sometimes, the constant will come before an unknown.
Check:
I have the correct answer,
Try for yourself
Read the equation, starting with the unknown, and undo the last thing that was done.
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By the end of this lesson, I will be able to solve 2-step linear equations involving addition
Sometimes, you will have to do 2 steps instead of 1.
Check:
I have the correct answer,
Read the equation starting with the unknown, and undo the last thing that was done.
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By the end of this lesson, I will be able to solve 2-step linear inequations
To do this, we must be able to solve 2-step equations:
To warm up, try these:
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By the end of this lesson, I will be able to solve linear inequations
To be able to solve linear inequations, we must be able to understand what these symbols mean and use them:
¿≥
≤
“greater than”
“less than”
“greater than or equal to”
“less than or equal to”
6 ____ 5
5 _____ 6
6 _____ 5
5 _____ 6
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By the end of this lesson, I will be able to solve linear inequations
Exercise 1:
Are these true or false?
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By the end of this lesson, I will be able to solve linear inequations
Exercise 2:
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By the end of this lesson, I will be able to solve linear inequations
To solve linear equations, we must be able to isolate the as we have been doing and then make sure that our answer is correct.
Is when ?What’s a number greater than 1? Is this true?
Q: When this was an equals () symbol, what were you doing?
A: Taking away 2 from both sides
Q: Now what would you do? A: Simplify
Q: Now what would you do? A: Check
A: 2
Yes, it’s true, therefore our answer, is correct
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By the end of this lesson, I will be able to solve linear inequations
Try another:
Is when ?What’s a number greater than 7? Is this true?
Q: When this was an equals () symbol, what were you doing?
A: Adding 4 to both sides
Q: Now what would you do? A: Simplify
Q: Now what would you do? A: Check
A: 8
Yes, it’s true, therefore our answer, is correct
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By the end of this lesson, I will be able to solve linear inequations.
Summary:
What did you learn today?
What are two mistakes your neighbour made today?
Homework: page 26-28
Should have done: up to and including page 21