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