3AT Quadratic and power equations and inequalities

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

Write down a word that is connected to 'Equations and inequalities'

5 minutes

Assignment : Write down a short description of the word. Divide class into pairs, A and B. The A's read their text aloud and the B writes down which word belongs to it. Swap roles. 

When did you use or see maths this vacation?

Today

• Equations
• Inequalities 
• Powers
• Skills? 

With equations, ...

1. I can find the solution to a function
2. I can partly solve inequalities
3. I can find the coordinates of the point(s) of intersection

When solving an inequality,

1. I need to be able to flip the sign
2. I need to be able to show why it is greater/less than or equal to
3. I need to be able to write down the solution to the inequality in different ways

Power functions

f(x)=x​p​​

1. The exponent of the first graph's function is odd | The exponent of the second graph's function is even
2. The exponent of the first graph's function is even | The exponent of the second graph's function is odd
3. The exponent of the first graph's function is odd | The exponent of the second graph's function is odd
4. We need more information than just these two graphs

Equations

• Linear ; quadratic ; exponential ; square root ; power
• Choose the right method
• Use a card
• Balance method
• Rearranging
• Factorise
• Multiply both sides by the denominator
• Quadratic formula
• Write down steps
• Write down the solution

Inequalities

•  quadratic ; power (only B-students)
• Solve equation
• Find coordinates of the point(s) of intersection
• Find out how many points graphs have in common
• Make a sketch and/or number line
• Write  the solution in interval notation or as an inequality 

Use your planner

• Make sure you are done with chapter 11 before next Tuesday
• You can solve equations and inequalities
• You can use the right notation and steps  

Set a goal for this lesson

I want to achieve....
I will have made.....
I will have checked......
I will ask a question

.......................

Questions or remarks. Keep it friendly.

Did you reach your goal?

Yes, I have reached my goal, because......

I have partly reached my goal and the next time I will....

No, because........