2.1 Making generalizations

• Wiskunde
• WO
• Studiejaar 4

Good morning!

Schedule: 

• Learning goals
• Investigation discussion + reflection
• Unit topics
• Generalizations and conjectures 
• Work on your homework 

Learning goals 

At the end of this lesson I can:

• Identify patterns in number problems 
• Make generalizations from a given pattern

Investigation discussion

1. If you have no further questions, collect and complete a reflection sheet. 

2. Find your portfolio and draw a thick red line below your last MP3 task

3. Add everything in red on the picture to your  cover page: Your MP4 class and the first task (use this exact title!!!)

4. Put in your portfolio first: your investigation, then your reflection sheet and lastly your cover sheet.  

Your cover sheet should ALWAYS be on top. 

5. Done? 

Unit 2: Equivalence and inequalities

Making generalizations:

Identifying patterns in number problems

Solving complicated problems by looking at a more general case

Making generalisations from a given pattern

Coordinate geometry:

Finding the distance between two points

Finding the midpoint between two points

Finding the gradient of a straight line

Finding the gradients of parallel and perpendicular lines

Finding the equation of a straight line

Modelling: Linear equations and system of linear equations:

Solving linear equations and systems of linear equations algebraically and graphically

Using equivalence transformations to solve linear equations and systems of equations

Creating a mathematical model to solve real-life problems

Determining if a model solution is equivalent to the real-life solution

Evaluating and interpreting your solutions in light of the real-life problems

Unit 2: Equivalence and inequalities

Making generalizations:

Identifying patterns in number problems

Solving complicated problems by looking at a more general case

Making generalizations from a given pattern

Make a general statement

Generalizations and Conjectures

Generalizations and Conjectures

A conjecture in math is similar to a hypothesis in science!

Discuss other definitions and/or translations for Generalization and Conjecture

Conjecture: 

Try this now!

Numbers (a, b)	a x b	Lowest common multiple (a, b)	Greatest common factor (a, b)
(12, 5)	12 x 5 = 60	LCM(12, 5) = 60	GCM (12, 5) = 1

* Choose multiple numbers for a and b and complete the table

* Make a generalization

Homework

P. 96-97: Practice 1 

Due Monday 7-11!