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
A resource that took me 5 lessons to go through. So there’s a unit here.
(Adding in a few little worksheets I found online for some extra questions)
Introduces sin and cos separately, using similar triangles.
Then moves onto trig tables, so students aren’t just pressing a ‘magic’ button on their calculator.
Then a little exercise choosing between them.
Then tan.
Then choosing sin/cos/tan.
Then angles.
Lots here. Lots of questions, lots of examples.
No challenging or problem solving questions. This was meant as an introduction.
A subject that lots of my students have struggled with in the past.
Includes an insane amount of whiteboard work to get students used to the concept.
Also includes some GCSE questions and a bit around the parts of an equation.
Needs a lot of printing (due to the nature of the topic)
NOTE : I update stuff often, chopping and changing or correcting errors or general improvements. The latest version of this PowerPoint can always be found here.
Students measure sides of shape to determine if it is regular or not.
As always, please comment if you found this useful, have an idea on how to improve it, or want something changed.
It’s CHRISTTTTTMMMAAAAATHSSSS
All you need to run a full lesson with a mathematical cristmaths quiz.
Designed to be accessible to all.
Starts with a bit of Shakin’ Stevens asking students to tally various things he sings and notice bits of the really creepy video : - )
Goes onto a bit of converting time, some Suduku stuff, some Chris moyles Maths quizes and a bit of spot the mathematician.
Have fun and have a wonderful Christmas
Richard
Covers the basics of differentiation. Designed for iGCSE but I will probably use this with my AS classes too.
*A warm up
*An interactive geogebra widget
*An example problem pair
*Some whiteboard work
*An exercise
*Another example problem pair covering things like 1/x and root x
*Another exercise with some more difficult examples
*A plenary with 5 quick questions.
Introduction to vector geometry.
Includes examples and two exercises. One on simple questions where you just have to add the vector ‘routes’ and one that throws in some mid point stuff.
NO PARALLEL LINES, COLINEAR POINTS OR PROOF HERE
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.
Talking about spotting number bonds for addition and grouping your subtrahends for subtraction to make doing a calculation much simpler. A exercise on each.
CHANGELOG
22/09/2021 - Corrected the second exercise
Covers a few cases eg
-Root 8 = 2 root 2
-2Root8 = 4Root2
-Simpifying with fractions and canceling a common term.
A not huge. A starter. A little activity on what is a surd. A good amount of example/problem pairs. Two question sets. Some exam questions and five quick questions at the end. Included worksheet is merely a copy of what’s on the PowerPoint.
Examples of when it’s easy to multiply up, when you need to reduce then multiply and when you need to use a calculator.
Then loads of questions, including some whiteboard questions.
PPT with example problem pairs for estimating square and cube roots along with three small exercises covering squares, cubes and using estimation to find the side length of shapes.
Example problem pair and an exercise to do. Plus 5 quick questions, two exam questions and some multiple choice shenanigans aimed at hinting at the skills needed to rationalise the denominator.
Covers how to draw a frequency table, continuous and discrete data and finding the mode from grouped and ungrouped frequency tables.
Has a starter, some example problem pairs, some questions (that aren’t amazing tbh) and a plenary.
Just the cosine rule.
Finding the side
Finding the angle
Example problem pairs (see https://berwickmaths.com/ for an explanation of this) and some questions.
Not much of putting it all together but a quick exercise in picking which rule to use.
There is an exam question included, a hard one that involves using cosine and then basic trig to find an angle.
I did this over two lessons. Finding the side was one lesson, finding the angle the next lesson