Higher level GCSE Algebra.
Using the Quadratic Formula.
The presentation shows graphically what the Roots and Turning points of Quadratic Graphs are.
Then takes students through an example of solving a quadratic using the formula and relate it to the graph.
Finally substituting to find the turning point.

Basic roots intercepts and turning points - ppt & ws with answers
Roots and intercepts using quadratic formula - ppt & task with answers
Turning points using complete the square - ppt & task with answers
Roots, intercepts and turning points using factorising, complete the square and graphs - ppt & ws with answers

Worksheet practicing finding turning points for polynomial equations and determining their nature. Some of the questions require knowledge of negative and fractional power differentiation.

The usual thing: answer the questions, reveal the cheesy joke. I use these as starters, plenaries and main tasks; you can use them (or not as the case may be) however you like… but students do seem to like them (if the volume of groans at the jokes is anything to go by).

This is a PowerPoint presentation that leads through the process of finding maximum and minimum points using differentiation. It starts off with simple examples, explaining each step of the working. It gradually builds the difficulty until students will be able to find turning points on graphs with more than one turning point and use calculus to determine the nature of the turning points.
I have found in the pass that students are able to follow this process when taught but often do not understand each step. As a result, they often use the wrong equation (for example, they use the equation for dy/dx to try to find y or make simple errors. This presentation is designed to lead the students through the process with an understanding of each step.
NOTE: I have updated the PowerPoint to now include an example of how this can be used to solve practical problems.

Ideal for GCSE revision, this worksheet contains exam-type questions that gradually increase in difficulty. This sheet covers Differentiating to find Gradients and Turning Points.
This review sheet is great to use in class or as a homework. It is also excellent for one-to-one tuition and for interventions. An interactive version of this sheet is available at
https://www.maths4everyone.com/skills/topic-review-sheets-9897.html
The interactive version allows individual questions to be selected for enlarged display onto a screen. The answer can then be worked out ‘live’ by the teacher (or student) or a single click will reveal my solution. This not only helps in class, but it is also very useful for a student who is revising at home.

Higher level GCSE Algebra.
Using the Quadratic Formula.
The presentation shows graphically what the Roots and Turning points of Quadratic Graphs are.
Then takes students through an example of solving a quadratic using the formula and relate it to the graph.
Finally substituting to find the turning point.

This is designed as a Year 12 (or Year 11) revision or consolidation activity, looking at all the different ways that we can find the turning point of a quadratic

An inquiry task which encourages Y12 students to see how their learning relates to the world around them. Best used after formal teaching on a topic, as a homework or as an in-class group task. Designed to consolidate learning and encourage discussion.
“Support” sections are offered, but can be removed as necessary.
“Further Thinking” is used to stretch and challenge some students.
For more ways that we can bring maths to life, check out my book: “Why are we learning this?” - Making maths relevant from the classroom to the working world

This is a PDF consisting of 30 questions on turning points and maxima / minima.
18 questions on finding the co-ordinates of turning points and the nature of the points followed by a number of algebraic applications and concluding with 8 full problems on maximum and minimum values.
This is a very thorough worksheet covering everything you will need to teach / learn or revise Stationary points.
Answers are included and have been checked and verified.
Please leave feedback, particularly if you like my work - thank you.

This booklet contains 2 example questions and 6 questions for pupils to try and make connections between quadratic equations and their graphs, factorised form, roots, completed the square form, coordinate of the turning point, y-intercept, equation of the line of symmetry and coordinate of the turning point after a couple of transformations. 5 questions involve the coefficient of x^2 being 1 and 3 involved the coefficient being 2.
Each grid has one piece of information given which should be enough to fill in the remaining boxes.
Answers have been provided however apologies if any mistakes have been made.
I hope you find the resource useful. I have used it with a top set Year 11 class a couple of months after all of the individual concepts have been taught to help review and make connections between the topics.