This is a complete lesson on geometrically proving and then applying the addition formulae. The lesson consists of 30 slides which guide students through a step-by-step proof of sin(A+B) and cos(A+B), then how to prove tan(A+B) and all the subtraction versions from these, plus a further six slides covering three common questions on the application of the formulae (which can be used as examples or as questions). It also includes copies for the students to complete as you go along.
Resources included:
A PPT and smart notebook file 36 slides long with a detailed step-by-step proof using SOHCAHTOA.
A student copy of the initial diagrams for them to work from
There is a separate file for PPT and notebook.
If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslesson@gmail.com.
Thanks!
Chris @ Last Minute Maths
This is a revision worksheet for GCSE students on the Volume of Cones, Pyramids and Frustums, but also draw on other areas of mathematics, including Pythagoras and density.
The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you.
The Higher questions do not include the formula and include the volume of frustums. The Foundation questions have the formula provided.
The grids can be:
Used in lesson for students to see what grade they can get to
Peer/Self/Teacher-assessed
Used independently
Done for Homework
Laminated and given as revision cards.
The answers, with full working out are included.
If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com.
Thanks!
Chris @ Last Minute Maths
This is a revision worksheet for GCSE students on Area of Circles, Semi-Circles and Sectors, but also draw on other areas of mathematics, including percentages, money and trigonometry (for grade 9).
The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you.
The grids can be:
Used in lesson for students to see what grade they can get to
Peer/Self/Teacher-assessed
Used independently
Done for Homework
Laminated and given as revision cards.
The answers, with full working out are included.
If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com.
Thanks!
Chris @ Last Minute Maths
This is a revision worksheet for GCSE students on Transformations (Reflection, Rotation, Translation and Enlargement)
The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you.
The grids can be:
Used in lesson for students to see what grade they can get to
Peer/Self/Teacher-assessed
Used independently
Done for Homework
Laminated and given as revision cards.
The answers, with full working out are included.
If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com.
Thanks!
Chris @ Last Minute Maths
This is a bundle containing three GCSE progression grids (from Grade 1 to Grade 9) on Area and Volume:
Areas of Circles and Sectors
Volume of Cones, Pyramids and Frustums
Transformations
Venn Diagrams
The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you.
The grids can be:
Used in lesson for students to see what grade they can get to
Peer/Self/Teacher-assessed
Used independently
Done for Homework
Laminated and given as revision cards.
The answers, with full working out are included.
If you have any suggestions or have spotted a mistake, do not hesitate to contact me via lastminutemathslessons@gmail.com.
I’m in the process of uploading other grade grids - please let me know if you have any specific requests.
Thanks!
Chris @ Last Minute Maths
This is a revision worksheet for GCSE students on Venn Diagrams (sets and probability)
The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on.
The grids can be:
Used in lesson for students to see what grade they can get to
Peer/Self/Teacher-assessed
Used independently
Done for Homework
Laminated and given as revision cards.
The answers, with full working out are included.
If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com.
If you like this resource, please do review it and have a look at my other resources :)
Thanks!
Chris @ Last Minute Maths
This is a reflection puzzle on coordinate axes in the topic of transformations.
Students have to use their understanding of horizontal and vertical lines and the lines y = x and y = -x to reflect the shapes to form a word.
Past exam questions and worked solutions from the new spec 9709 CIE Statistics 1 syllabus, sorted by topic. This set is on Permutations and Combinations, but only the word-type questions.
Past exam questions and worked solutions from the new spec 9709 CIE Pure 3 syllabus, sorted by topic. This set is on Modulus Equations, Inequalities and Sketching Graphs of Modulus Functions.
Past exam questions and worked solutions from the new spec 9709 CIE Pure 3 syllabus, sorted by topic. This set is on Complex Numbers and Loci in the Complex Plane.