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Sequences - Required Skills, Examples and Investigation

Sequences - Required Skills, Examples and Investigation

A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence. If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example). The four worksheets are: - Indices (practice on this) - Algebra (rearranging formula) - Sequences (standard questions on finding limits, and graphing the results) - Investigation (putting it all together to get a general formula) All provided with full solutions.
dh2119
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
Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

Can you crack the code? Demanding AS Level revision - 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 8224. This worksheet is a real challenge for your KS5 students - perfect for the new AS Level demands.
Mr_Luscombe_Maths
IB Maths HL - Topic 1 Algebra - Notes

IB Maths HL - Topic 1 Algebra - Notes

Handwritten notes that I made for my HL students on Topic 1 of Algebra in the IB. It includes: 1.1 - Sequences & Series 1.2 - Exponents and Logs 1.3 - Binomial Expansion & Permutations/Combinations 1.4 - Proof by Induction 1.5 - Complex Numbers 1.6 - Complex (Polar Form) 1.7 - De Moivre's Theorem/Euler's Theorem 1.8 - Complex Conjugate Roots of Polynomials 1.9 - Solving Systems of Equations with 3 variables
jwmcrobert
Erica's Errors On Sequences and Series

Erica's Errors On Sequences and Series

Erica is getting a bit lost on arithmetic and geometric sequences and series. Could you please help her sort out her homework? Her errors will need explaining so that they aren't made again. A task designed to encourage discussion.
alutwyche
Colouring by Annuities - Obama, solve for PV, FV, & Interest (30 sheet mosaic)

Colouring by Annuities - Obama, solve for PV, FV, & Interest (30 sheet mosaic)

Highly Engaging!! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) INVOLVED: Each worksheet has 3 questions each of: • Find future value • Find present value • Determine total interest earned • Determine total interest paid It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Students complete the problems to decode the colour key, then use it to colour their section of Obama mosaic. High school kids like colouring too! Their curiosity and desire to see the big picture come together will keep them working and helping each other! INCLUDED (.pdf and .docx files): ->Complete class set of 30 worksheets, that combine to create the Obama mosaic. Sheets contain the answers scrambled so students can monitor their own understanding. ->Complete answer keys all worksheets. -> Colour solution and coordinate guide for the mosaic. ->Each worksheet contains 12 problems. Ontario Curriculum: This is great for MAP4C, or MCR3U. All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match. Maybe a class set of pencil crayons would be a fun departmental purchase? :) I'd love to hear from you! Leave some feedback through Tes about how this went in your classroom, or email me at calfordmath@live.ca
CalfordMath
Erica's Errors On Binomial Expansion

Erica's Errors On Binomial Expansion

Erica is struggling with the binomial expansion; can you (and your class) help Erica correct the answers she has arrived at and explain to her what she has done incorrectly. This is designed to create discussion and help students become familiar with new style questions.
alutwyche
Series Worksheet

Series Worksheet

Worksheet on sums of series - lesson-in-a-sheet with starter question followed by key information, main questions and then extension.
curingd
Types of Sequence Gap Fill/Notes

Types of Sequence Gap Fill/Notes

Foldable notes created to ensure students have reference for linear, quadratic, geometric and Fibbonaci-type sequences. Slides match these notes - students are to fill in the gaps as you display information on the board. Some additional info on slides, including examples from Don Steward median site (obvious style change from my own!) PPT slides have been made with the purpose of differentiating between these and were used in conjuction with other resources e.g. Tick or Trash, mostly found on resourceaholic/Don Stewar's Median site. Notebook slides were a quick overview for an enrichment lesson with most focus on Fibbonaci-type sequences.
kdarwin91
Algebraic Sequences and series

Algebraic Sequences and series

Aimed at stronger pupils on GCSE/IGCSE and pupils starting year 12. Probably enough content for 2 lessons. covers arithmetic means, nth terms, recursive and explicit terms Also delves into sum of an arithmetic series (without referring to sigma, I intend to bring that in after geometric series have been done) all answers are provided hope you enjoy , please leave feedback for more of my resources check out the shop https://www.tes.com/teaching-resources/shop/commuter (have amended an error on this and added an extra discussion point)
commuter
Homeworks (Pure) - New AS Further Maths Syllabus

Homeworks (Pure) - New AS Further Maths Syllabus

I have included 3 sections as a free sample which you be able to find towards the bottom of this page. Split into 15 sections 1. Complex Numbers 1 2. Complex Numbers 2 3. Conic Sections 4. Hyperbolic Functions 5. Maclaurin’s Series 6. Matrices 1 7. Matrices 2 8. Method of Differences 9. Polar Coordinates 10. Proof by Induction 11. Rational Functions 12. Roots of Polynomials 13. Summation Series 14. Vectors 15. Vol. of Rev. and Mean Value Each section has 4 documents 1. Homework 2. Full worked solutions for homework 3. Challenge Questions for gifted students 4. Full worked solutions for Challenge Questions • Includes both the PDF’s and word documents which are fully editable. • They are written for the AQA syllabus but can be adapted for other exam boards. • The homework’s are intentionally quite difficult and written in an exam style. • Each homework has ~50% of the answers provided, this is to allow students to check they’re getting the first few questions correct. You can remove this if you want. Note: As there is a lot of content here there may be a few typos, I’ll be sure to update any mistakes as soon as I’m aware of them. The questions and solutions should be close to 100% accurate though.
JonnyLavelle