Here is a lesson I put together for a lesson observation and received lots of credit. There are two options of starters (I personally would pick the T-shirt starter). The lesson is differentiated to ensure all learners progress. The lesson is suitable for both KS3 and KS4. Starter Starter 2 optional Main worksheet differentiated Extra challenge questions Flipchart with suitable examples, assess and show progression Detailed lesson plan

Venn diagrams is new on the 1 - 9 GCSE spec this year and I have thought about a good solid constructive lesson that will win students understanding with this. Firstly, I have based each question around two visual events (i.e. even numbers and prime numbers). The idea here is that students say which numbers are which and then place them into the Venn diagram. Then they are asked to calculate one probability question from it, they will struggle with this but that's where you step in to make sense of them with the example ready at the board. See the cover image as an example, I have made up 8 questions, each with a different probability. The lesson is an ActivInspire flipchart, explanations and answers. Students can work from a friendly worksheet. I have put in a suitable starter (listing multiple, factors, primes, cube numbers etc). I have also included in this lesson blank diagrams with the probabilities they need to be able to shade (answers included).

I was fed up of just telling my students to multiply across, add this column, add that column, divide this column by the total of that one and there is the mean... This is what I ended up making: Starter - Students are asked to calculate the mean from a set of numbers (10 people who were asked how many pets they owned). Easy numbers to divide, straight forward. At this point, I like to demonstrate exactly what mean is How many pets do these people have? "Instead of saying this person has 2 pets, this person has 3 pets, this person has 1 pet etc... we just want one number, an average number called the mean which we just worked out" Main - The starter links straight into the main where the data is sorted into a frequency table and it's demonstrated how we get the same answer working from this table. I really break up the process and go through the whole "add them up" highlighting each of the same numbers and showing that we multiply across, students clearly see where things come from (see my cover image). On top of this, I have included 5 questions where students sort data into the frequency tables and find the mean (very structured and you can explain why they are multiplying across, adding and dividing). I have a section for just finding the mean from numbers in case some students need to work on finding mean from numbers. I also have a section for calculating mean from a plain frequency tables when your students really get the idea (so there is differentiation). I did this lesson with a weak year 8 class and they got a lot out of it. I highly recommend this, you won't be disappointed. One of my best resources. Answers are all included. Attached is an activInspire flipchart and worksheets.

A very student friendly resource solving simultaneous equations graphically (8 questions). I made this because I was struggling to find any resource that just allow the students to practice the skill without having to get them to draw a graph or having the issue with the equations not crossing. I taught this by setting x = 0 and finding the y value. The equations are nice to work with when set to zero. This resource will save you a lot of time and effort.

Differentiated worksheet First page - Plotting equations (positive), i.e y = 3x + 2 Second page - Plotting equations (negatives), i.e y = -2x + 1 Third page - Plotting equations (fractions), i.e. y = -1/2x + 3 I have also attached some past GCSE questions

Friendly and constructive worksheets Lesson 1 - Starter plotting co-ordinates. Main - Plotting quadratics GIVEN x and y values from a table, this gets students use to just recognising the shapes of quadratics. ActivInspire flipchart included with explanations and answers. Lesson 2 - Plotting quadratics where students need to find the y values given the x values from a table. ActivInspire flipchart included with explanations and answers. Lesson 3 - Plotting quadratics by finding x values from a table and solving given y values. I focused on x^2 equations to help students access quadratics. These lessons will set you up nicely for quadratics in the form x^2 + bx + c

I have started with simple calculations by making numbers the subject first and then progressing onto letters. There is a good 3 to 4 lessons here which I believe covers everything to do with rearranging (including factorising expressions). Please see the preview, this will show you what the slides will look like for the tasks the pupils will be doing. This is fully loaded with examples for you, tasks for the students and of course, answers for everything! Please note that this is an activ-inspire flipchart, you will require Promethean boards in your school to allow this to work. There are no worksheets because everything is on this flipchart, 50 slides!

These worksheets will give your students good practice for drawing box plots from given data.

Constructive lesson that is student friendly. Starter - This is asking the students to write down what whole numbered co-ordinates are passing through an equation of a line. Prior knowledge to help. Section A - Simple with no axes and just focuses on positive gradient to build students confidence Section B - progresses with axes but still focuses on positive gradient Section C - This section focuses on negative gradient with axes Section D - This is a mixture for positive and negative gradient with axes Section E - This section is about finding gradient when the scales change, students need to think more about what they are doing. ActivInspire flipchart consisting of examples, explanations and answers to all worksheet questions. Suitable for KS3 and KS4

Here are 3 lessons on place value. The worksheets are differentiated and student friendly. They follow on from each other. I have taught this several times and students have responded well to it.

Using a square (a), semi circle (b) and rectangle (c), these shapes are placed together or taken away from each other, the students are to give expressions for these. This is a good visual way for creating expressions and students find this engaging. This will help build up confidence. The worksheet offers good structure and understanding for adding and subtracting terms. I have also included some extra resources which progress nicely. This is suitable for all learners.

A very constructed first lesson on surds. I had a lesson observation and needed to teach surds, due to its nature, it can be difficult to think about differentiation, progress, teamwork and at the same time, keeping it constructive. I thought about all of this and the lesson was a success ensuring every student achieved something from my set learning outcomes. I recently taught it again for another lesson observation and it didn't disappoint me. Starter - Square roots and factors (prior knowledge) Pair activity - Identifying surds Main worksheet activity - Fully differentiated Lesson plan - I have put lots of thought and detail into this lesson. Assessment - Progress is checked at the start of the lesson and at the end (use mini whiteboards) ppt - activInspire. All answers to worksheet are included. This lesson will focus on rewriting surds, simplifying surds and progressing to add/subtract them.

Starter - Prior knowledge The first part of the lesson focus’s on the rule for a parallelogram and calculating its area. The second part of the lesson includes algebra to find missing lengths. The plenary is a typical GCSE question. Please leave me your thoughts and comments as I can make improvements. I have used activ-inspire flipchart for the lesson but managed to screen shot all the slides onto powerpoint. Enjoy.