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

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.

A worksheet on completing the square and finding turning points. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

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.

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

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.

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.

An inquiry task which encourages Year 12 students to see how their mathematical learning relates to the world around them. Best used after formal teaching on the topic, as a homework or an in-class group task, to consolidate and encourage discussion.
A “Support” section is offered, but can be removed as necessary.
“Further Thinking” is used to stretch and challenge some students.

This video introduces how to determine the maximum number of x-intercepts and turns of a polynomial function from the degree of the polynomial function. Examples are shown with graphs.
Site: http://mathispower4u.com
Blog: http://mathispower4u.wordpress.com

Three worksheets on completing the square and finding turning points. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

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.

This is a whole lesson on Quadratic Graphs or Functions. In particular, focusing on finding the coordinates of a turning point or stationary point or the vertex of the parabola. The lesson is very clear how to find this minimum or maximum point and builds on the previous two lessons to develop an excellent understanding of quadratic functions at their key points. 24 slides + lots of supplementary resources.
The lesson comes with:
+ a Starter (sorting activity)
+ Learning Objectives (differentiated)
+ keywords
+ superb teaching slides (lots of custom animation)
+ lots of examples
+ Video
+ MWB activities for AFL
+ Fantastic Matching Activity (with answer key)
+ Plenary
ALL LESSONS for teaching ALGEBRA are available as one BIG bundle in the link below:
Algebra: All Lessons
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Do you know? Calculus is used to improve the architecture not only of buildings but also of important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) is used to determine the exact length of power cable needed to connect two substations, which are miles away from each other… Physics Engines, Signal & Image Processing, Computer Vision, Information Theory.
* Presentation – Complete video for teachers and learners on Applications of Calculus: Rate of Change Turning Points, Quadratic & Cubic Graphs.
* IGCSE, GCSE, IB, AP Practice Revision Exercise which covers all the related concepts required for students to unravel any IGCSE Exam Style Applications of Calculus Questions
* Learner will be able to say authoritatively that:
I can complete any question on Rate of Change
I can solve any given question on Applications of Calculus in Quadratic Function
I can solve any given question on Applications of Calculus in Cubic Function
I can apply my knowledge of calculus in any given function
I can apply my Calculus knowledge in: coordinate systems; Equations of lines and curves; gradient of parabola, determine the nature of line and curves generally and in any given geometrical questions.
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A powerpoint explaining how to find stationary points on a curve using differentiation.
Includes examples and questions
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