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Quick worksheet on "reverse chain rule" (integration)

Quick worksheet on "reverse chain rule" (integration)

After teaching my classes how to integrate using "reverse chain rule" and giving them enough practice to feel confident about the method, I have used this worksheet to try to encourage them to use less time and steps. My classes enjoyed the challenge of trying to complete the sheet within the time - you can always amend the time limit for weaker/stronger groups. Solutions are attached. Note that this sheet assumes that students know how to integrate the function e^x and 1/x.
langy74
Volumes of revolution (integration)

Volumes of revolution (integration)

This resource is designed to introduce the method for finding the volume of a shape created when an area is rotated around an axis. The first side explains the derivation of the formulae - I would recommend you also try to show your students an animation that helps them visualise a 3D shape being created by a region rotating about an axis (lots are freely available online). There are then 5 pages of questions for your students to complete. Most of the questions are in two parts - the first part involves finding an area, the second part involves finding a volume (a very common style of question in examination papers). Note that students are expected to be able to integrate using ln, e and reverse chain rule. Answers to all questions are provided.
langy74
Area between curve and y-axis worksheet (integration)

Area between curve and y-axis worksheet (integration)

This worksheet can be used to teach and practise the method for finding the area between a curve and the y-axis using integration. The questions are designed so that students practise rearranging the curve y=f(x) into x=g(y) and then integrate with respect to y. The first page introduces this method and then there are 2 examples to work through as a class. There are then 3 more pages of questions, all with diagrams, for your students to attempt. Answers are provided.
langy74
Can you crack the code? Further maths revision challenge - perfect for new spec problem solving

Can you crack the code? Further maths revision challenge - perfect for new spec problem solving

For these lessons, I have a wooden box which I fill full of goodies (fruits, sweets etc). I then have a large metal chain wrapped around the box with a colourful padlock on (all of which builds the tension...). The aim is for the students to work away in pairs to crack the code! If you don't want to purchase the box etc, the worksheet works perfectly well on it's own. Note: the solution for this worksheet is 6452. This worksheet is a real challenge for your KS5 students - perfect for the new A Level demands.
Mr_Luscombe_Maths
Area between graphs worksheet (Integration)

Area between graphs worksheet (Integration)

This worksheet has 4 pages of questions, each with a diagram, for your students to practise finding the area between two graphs. The first 4 questions are on areas between a curve and a line, the remaining questions are on areas between 2 curves. Answers to all questions are provided.
langy74
Erica's Errors - AS/A Level Maths (Year 1) Bundle

Erica's Errors - AS/A Level Maths (Year 1) Bundle

Erica makes mistakes; lots of mistakes. You have her homework on every topic covered in the first year of her A level mathematics course where she consistently makes mistakes. Your job, or more accurately, the students in your classes' job is to correct Erica's errors and explain where she's gone wrong so that she doesn't make the same mistakes again. These have gone down well in my classes and really encourage discussion about the mathematics and should embed a deeper understanding.
alutwyche
Erica's Errors On Integration

Erica's Errors On Integration

All sorts of calculus issues for Erica here! She really needs your (your class') help to correct her work and explain where she's gone wrong. There are common mistakes here for student to find and discuss in class.
alutwyche
Integration by recognition.

Integration by recognition.

A power point presentation on integration by recognition with fully worked examples and student worksheet. Suitable for VCE Mathematical Methods Unit 4 or any other Calculus course.
bgm2016
Integration - Finding Areas

Integration - Finding Areas

Originally created for the Core 2 module in AS Mathematics. This activity can be managed in a variety of ways, with or without the given answers. The most successful approach has been to give the question sheet to pairs of students and let them work together on large whiteboards. The lack of scaffolding in this activity means students must utilise a variety of skills to calculate the answers, rather than only using integration. Answers are provided here for your benefit. You could also provide these to students as part of a matching activity. NOTE: this activity is about finding areas; a negative answer is not acceptable! I hope you enjoy using this activity with your students, and that they enjoy the problem-solving.
YenaMaths