Tuesday, 16 March 2021

Where to start with ALGEBRA?? How to introduce it so it makes SENSE!!

 Anne (previously from Kerikeri High) and Helen Teal (NMA) are the presenters. Helen was previously at Whangarei Girls High now 3 years in the role at NMA. So looking forward to this workshop of how to introduce Algebra to my juniors.

Q:  WHAT DO YOU WANT TO GET OUT THE DAY?

My answer:  Fun, creative way to START Algebra with  year 9's so I can catch their attention, grab it and carry it through to year 12, when I have them in my class. I am working 1 period a week with each form class, and would love to "win them over". Would love some hands on activities.


Q:  WHAT DO YOU ALREADY KNOW?

How to teach Senior Algebra.


Using: www. menti.com

What do you think or feel when you hear the word ALGEBRA? using  one word ( used www.menti.com) and then made a slide with ALL the words.


What can you expect getting out of the workshop:

1. Algebra is a generalisation and can be linked and taught through number form level 1 (curriculum level 1)

To show progression in learning. Go to NZ Maths and click on: https://nzmaths.co.nz/curriculum-elaborations

start with: https://nzmaths.co.nz/elaborations-level-four-number-and-algebra

for planning purposes: https://nzmaths.co.nz/key-mathematical-ideas

How many equations can you write up on a piece of paper, that equals 9.

written up was:

3 x 3 = 9

18/2 =9

2X4 +1 = 9

Picture of:

2 groups:  pattern 1: had 3 red counters and 1 blue counter, pattern 2: had 5 red counters and 4 blue counters.

choose strategies to draw the next pattern, and the next

Find a way to explain in words how you did this

Can you see the rule:

to get red?

to get blue?

to get the total?

The a picture of 10 by 10 grid. The outside colored in red, how many red squares on the border of this grid.

Show 4 different ways to get this, drawing on the white board.

then did a 3 by 3 grid

Then let them choose a grid size and show a strategy to come up with the general rule:

Tn= 4n - 4

challenge:

Think of a number between 1 and 10.

Now

* add 1

* multiply by 3

* subtract your original number

* add 5

* divide by 2

* take away the original number (that you started with)

Now if A= 1, B=2 , C= 3, etc.

Choose your letter that represents your answer, and think of a country that is in Europe. Write down the name. (answer for all would be 4)

Take the second letter of this country's name, and write down the name of an animal that starts with this letter

(Most people wrote DENMARK and elephant.)

Now let 2 students go to the whiteboard.

they write down their 2 numbers, and you let them go through the whole process. As the teacher you are the third person, and write yours in terms of algebra (with a letter eg. n  or a or ...)

Lots of practical examples

how many squares? How many matchstick to form the pattern? etc

then: Curriculum Progression Framework


Lots of self help and videos on this website. Use this website to teach yourself and upskill yourself.
8 aspects:





Look at the difference in the gaps and even starting points. Also notice that when you are teaching at year 9 level, you need to get all the number / patterns/ aspects done, otherwise they do not have the prior knowledge for you to build on.
Click on each signpost (on the website) to get the explanation and the big ideas!
This is what it looks like if you click on each specific sign post, and you can download this as a PDF.

Awesome  easy website, user friendly.
LPF activity: then we were given a few worked problems and had to fit them to the curriculum level and the strand.
Matching the students' work to the level. 
So from this we see that Algebra starts right in curriculum level 1!!
Where do we get the cool resources?
STOP pre-teaching and START teaching through RICH tasks.
make math moments!!! Create
Sparking curiosity, fueling sense making IGNITING teacher creativity!
Start from a young age.
Relate it to the known eg. Link it to their number knowledge, what they already know!! Incorporate Number and Algebra into all the other strands!!
(generalize the numbers to algebra) 

A lesson without the opportunity for learners to generalize is not a mathematics lesson!! - John Mason