Maths resources.
Working on Project-A-Lesson. A full lesson in a PowerPoint. For busy teachers who still want outstanding engaging tasks and learning checks
Maths resources.
Working on Project-A-Lesson. A full lesson in a PowerPoint. For busy teachers who still want outstanding engaging tasks and learning checks
Simple one-sheet of questions.
The aim of this one is to explicitly talk about doing calculations that do not change the result. ie : multiplying by one, and explicitly linking something like 5/5 to the concept of one.
Changelog 9/11/2021 Updated some answers on the second exercise.
Starts numerically, looking at rules for multiplying.
Lots of practice
Problem solving question
Learning check at the end
Simple ppt.
Some example problem pairs, an exercise, a quick learning check and a link to a blooket for practice.
CHANGELOG : 9/15/22 : Added a miniwhiteboard task
Lesson on fractional indices (no negatives)
Full lesson. Questions and answers.
CHANGELOG : 9/12/22
Changed to new formatting and cleaned up a lot of things.
Work out the mean from a list
Work out a missing number given a mean
No median, no mode. Deliberately.
Includes a starter, two example problem pairs, two exercises, a quiz and a learning summary.
Massively based on @Dooranran 's stuff.
Speed distance time
Nets
Areas of circles/volumes of spheres
Symmetry
Pie charts
Equations of lines
Proportion
Reading graphs
Misleading graphs.
Not sure how I feel about some of the decisions here. I’ve introduced a bit of index laws towards the end of the sheet. Is this madness? I thought I would add it to reinforce the difference between simplifying powers and simplifying regular expressions. Maybe it’s too much.
As usual here’s my little justification for the first 10 questions.
A simple one to start
If you change the letter, it’s the same process
You can have multiples of terms
And it doesn’t matter where in the expression they occur
You can have 3 terms
And it doesn’t matter where in the expression they occur
Introducing a negative for the first time. At the end to make it easier
But the negative can occur anywhere! Here it actually makes you use negatives unless you collect the terms first
Introducing terms like bc. It’s not the same as b + c
We can do some division
Later questions cover stuff like ab being the same as ba.
I quite like the last question
An attempt at some variation theory
This one was hard. I spent ages rearranging questions and looking at what should be added. Specifically, I had a massive dilemma when it came to introducing fractions. I was trying to point out the ways in which simplifying fractions and simplifying ratio were similar, but I’m not sure that I haven’t just led students down the wrong path thinking they’re equivalent. For instance 5 : 6 is 5/11 and 6/11, not 5/6. Hmmmm.
The variations I used for section A.
An example where you can use a prime divisor
The opposite way around. What happens to our answer. Order is important!
Half one side. 8 : 5 becomes 4 : 5
One that’s already as simple as possible. Time for some questioning? How do you know you can’t simplify it?
It’s not just reducing the numbers down. Here you have to multiply up. Deals with what simple is. I have changed this from the picture to make only one number vary from the previous question.
Needs a non prime divisor. This isn’t really a variation, though. It has nothing really to do with the previous questions!
Again, double one side
Double both. Our answer does not double!
Adding a third part of the ratio. Changes the answer significantly.
Doubling two parts here. Our parts don’t double in our answer!
If you amend this and it works better, please let me know.
An example problem pair
A nice set of questions where students have to decide why two problems have been paired (a bit variation theory-esque)
Lots of questions, including a big set of questions on moving between radius/diameter and circumference.
Some whiteboard work
A problem solving question I came up with
A learning check
NOTE : TES is annoying for keeping stuff up to date. I often change my powerPoints to add stuff and make them better, or simply to correct errors in maths and presentation. The latest version will always be found here.
Trying to aim for a mastery/in depth lesson, rather than getting all the index laws done in one lesson.
Huge credit to Jo Morgan (@mathsjem). Nicked a lot from her for this resource.