Category: Algebra

  • Finding the gradient and y-intercept from a line

    Download here : https://www.tes.com/teaching-resource/-12940897

    Time flies. I realise that I’ve only uploaded one resource in the entire of 2023. That’s pretty bad going. I hope to be more productive in 2024.

    This is a pretty simple resource about finding the gradient and y-intercept from an equation. But I wrote some nice questions.

    Guess I’m just trying to get back into the swing of things.

  • Simultaneous 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.

    One linear/One non linear : Full lesson. Includes exam questions.

    Practice

    Assess

  • Quadratics

    Was slightly against putting these up as it’s not a complete topic yet, and probably won’t be for a while.

    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.

    Expanding double brackets: I’ve used grid

    Factorising : I have tried to use some advice from the Dan Meyer blog If Math(s) is the asprin, what is the headache? I’ve seen Dan Meyer speak. He was brilliant. I recommend following his blog. PowerPoint includes quadratics with [latex]a>0[/latex]. Was pretty proud of the problem solving task on this one.

     

  • Sequences

    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.

    Tried to add in lots of visual sequences here.

    Finding the next term: Can be rather boring, so lots of questions where there’s ‘gaps’. For instance 8, __, __, 14.

    Term to term rules: I’ve used a bit advanced notation here. I don’t know how to teach this better. Comment below if you do.

    nth term: I go for the ‘write your nth term and compare’ route.

    Generating a sequence from an nth term: Substitution, basically, innit. I’ve tried to add in some horrible sequences to generate from to make students think including fractional ones and shape ones.

    Quadratic nth term: Concentrating on why halving the second difference works

    Practice

    Assess

  • Inequalities

    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.

    I will tweek the animations on these when I do them again. I think the questions are also a bit…lame. There’s a few sections where the questions don’t really increase in difficulty or change form too much.

    Inequality Notation: Edited in March 2019 to separate it from solving inequalities. Added lots more stuff and redrew all the number lines.

    Solving Inequalities : New for March 2019. Separated it out. Now lots more rigorous and lots more and better questions asked.

    Compound inequalities: Even bigger (31 slides). Includes writing, linking into writing error intervals. Also includes solving compound inequalities.

    Practice

    Assess

  • Expressions

    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.

    Writing expressions: I always find this hard to teach. I’ve tried to be very explicit with the teaching. Dunno if I’ve been successful.

    Collecting like terms: When I come to edit this, I will definitely add something about deciding which terms are ‘like’. A little whiteboard quiz or something.

    Substitution: Lots of practice. Some links back to nth term, which I think is important. Some worded questions. I seem to remember this taking me ages. Don’t know if it’s good or I’m lazy.

    Expanding one bracket: I’ve used grid here. Unsure about how I feel about that. Did start with talking about expanding brackets with no algebra, though. Which I feel good about.

    Factoring: Always difficult to teach.

    Function Machines: I think I spent more time animating the little puffs of smoke from the machines then I did thinking about question progression. Might not be my best work.

    I’ve got a rearranging PowerPoint I’m halfway through creating that will go here at some point.

    Practice

    Vary and twist

    Collecting Like Terms : Variation theory mixed with a little bit of spaced practice.

    Substitution variation grids : Can’t work out if I like these or they’re confusing. Students fill in a 5 by 5 grid for a variety of expressions. Supposed to reveal underlying patterns.

    Assess

     

  • 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 [latex]2.3 + x = 1.5[/latex] 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