Solving Linear Equations

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each ppt contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

These were the first ‘ProjectALessons’ I did, so the quality may not be as great as some others.

I think I will edit these with ideas in Ed Southall’s ‘Yes but why?’ book and the Dani Quinn Mr Barton Maths podcast. She starts with equations like 2.3 + x = 1.5 or similar, so students cannot do them by inspection and MUST use balance, even for ‘easy’ questions. Each lesson here could easily be two with support materials.

Unknowns on one side only: Ronseal.

Unknowns on both sides: I’ve tried to add lots of examples.

Solving equations with brackets: Brackets on one side and brackets on both sides.

Equations with fractions: Probably needs more questions at the higher end.

Practice

 

Assess

This blog is back from the dead

I went to Mathsconf13 at the weekend. It was a lot of fun. I would highly recommend attending one.

I will be the first to admit that I am not always the most well-behaved during CPD time. I often find it difficult to see the purpose, and it’s often way too generic to be useful. I’ve found this at every school I’ve worked at.

It was great to find really useful sessions that I could see the value of straight away. I enjoyed the keynote by Matt Parker, who talked about how to cube numbers easily and how we could use this to discuss the merits of expanding triple brackets, which I was teaching that week.

Ed Southall did a great session on question design, something that interests me greatly and there was an awesome session by Stella Dudzic on the large data set which I thought was superb. I always like listening to Stella speak. I once attended a session where she talked about the random walk and came away with loads of stuff to talk about and do.  I even got my picture taken with the world’s biggest prime number.

The fact that these sessions had breaks between them was even better. There were interesting stalls and lots of people to talk. I had a load of fascinating conversations.

Some of the conversations made me feel bad. I talked a little bit to Jo Morgan from resourceaholic and Jonathan Hall from the magnificent mathsbot. Both of these people are amazing. They’ve contributed so much to the profession and they have a big impact in classrooms every single day. They create and share, for free, a huge amount. I don’t.

Most of the stuff I create I keep to myself, or I hide away on TES behind a £2 paywall, thinking that one day it might earn me enough supplementary income to be able to afford a house with a proper garden. This isn’t quite right. For a start, the income that I earn from TES is minimal, and it’s also not quite fair to the wonderful people who share stuff for free. So…

I am going to start updating this blog more (I’ve said that before!). I’m going to add more resources that I’ve created than before. They’ll be up in the top menu. Most of the resources I create are called ProjectALessons (I love a bit of branding). They’re a full lesson with explanations, tasks and learning checks. I also try and add a problem solve-y bit to every lesson. I put it at that end of the PowerPoint. Don’t feel you have to do it at the end (Mr Barton had a lovely bit on his podcast where he talked about the difficulty of doing a hard task at the end of the lesson, destroying student’s confidence).

October half term I’m off to Carcassone. I’m going to withdraw my TES money to take the missus for a nice meal, and then that’s it. They’ll be gone. And all my resources will be on here. For free. Shared properly in the nav bar at the top.

I’m starting now. There’s some stuff there (and it’s only doing this that I realised I had less than I thought) if you look now. Mention if you used one and it went well. Or if you used one and it needed editing.

I’m off to plan some lessons.

Rounding and Estimating

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each ppt contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

Bounds: Includes error intervals (new to GCSE).

Calculations with bounds: Lots of practice .

 

Practice

 

Assess

Angles

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each PowerPoint contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

Angles at a point on a straight line and right angles: With these PowerPoints I focused on drawing the shape in GeoGebra so that each angle was accurately represented. When I come to edit them and tweek and update them I will include more focus on estimating the answer first, before calculating.

Angles at a point: Ronseal

Angles in a triangle: When I come to tweek this I will definitely add some algebra in here.

Angles in quadrilaterals: Same. This needs some algebraic content to extend it.

Practice

Assess

Standard Form

Download link: Writing Numbers In Standard Form

Includes examples on writing in Standard Form for both big and small numbers plus exercises.

Basic Number

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each PowerPoint contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

Add and Subtract Numbers: Add and subtract whole numbers. Big emphasis on language and speedy calculation.

Multiplication : Multiply multi digit numbers. Focuses on speed ‘tricks’

Division: Divide multi digit numbers. Focuses on speed ‘tricks’

 

Practice

Assess

Number bonds to 10  timed questions

Number bonds to 20 timed questions

Two digit addition timed questions

Three digit addition timed questions

Two digit subtraction timed questions

Three digit subtraction timed questions

Times tables timed questions

One digit by two digit multiplication timed questions

Two digit by two digit multiplication timed questions

Single digit division timed questions 

Multi-digit division timed questions

Division into decimals timed questions

Fractions

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each ppt contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

Equivalent Fractions: Find an equivalent fraction.

Mixed Numbers: Converting to and from mixed numbers.

Adding Fractions: Add two or more fractions

Multiply and divide fractions: Multiply or divide two fractions

Fractions of amounts: Find a fraction of an amount

Practice

Differentiated questions. These will generate questions based on your input. For the projector, but they will also print out nicely.

Simplifying fractions (includes mixed numbers)

Ordering fractions (includes mixed numers)

Assess

Factors And Multiples

ProjectALessons

These are lessons to be taken ‘off the shelf’. Each PowerPoint contains an explanation, several different tasks, a problem solving task and a learning check. These require no printing.

Properties of Number: Recognise a prime number.Find the factors and multiples of a number.

Squares and Cubes: Find a square, a cube, a square root and a cube root.

Product of Primes: Draw a factor tree. Write a number as the product of it’s primes.

Highest Common Factor: Find the HCF of some numbers

Lowest Common Mutliple: Find the LCM of some numbers.

Practice

Differentiated questions. These will generate questions based on your input. For the projector, but they will also print out nicely.

Factors and multiples

Prime factors and primes in index form

Highest Common Factor, Lowest Common Multiple

Assess

Why SLANT? — …to the real.

At a past Michaela debate I heard Peter Hyman describe a desire for education ‘…with a smile, not a SLANT.’ The implication was not only, bizarrely, that the two are mutually exclusive (Bright Face is another technique taken from Lemov’s Teach Like a Champion) but that ‘SLANT’ is somehow not desirable. The acronym stands for Sit up straight, […]

via Why SLANT? — …to the real.