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Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

31 slide Powerpoint on the topic of Logs and Exponentials, which is intended to challenge more able Higher Maths students who may be considering continuing their Maths studies by taking the Advanced Higher course. The Powerpoint begins with a brief revision of the main rules. Many of the problem solving questions are multi-topic (such as relating to composite functions, transformations of functions, circles and straight line theory) and some require changes of log base as well as exponential and logarithmic factorising. Fully Worked Solutions (including many graphs) included.
biggles1230
Factor theorem 2 - fully factorising polynomials

Factor theorem 2 - fully factorising polynomials

Second part of Factor Theorem for my IGCSE Further pure maths, although easily adaptable for IB and A Level, this time on using the factor theorem when we have not been given any factor, before fully factorising by factorising a quadratic. Starter task reminds of using the factor theorem to show if (x-a) is a factor full examples given and follow up questions as well as evaluation tasks involving peer assessment. hope you enjoy, please leave feedback (next time I will do remainder theorem)
commuter
Factor Theorem 1

Factor Theorem 1

Aimed at KS5 pupils and pupils doing further maths IGCSE an introduction to the factor theorem Starter to remind how to divide polynomials, discussion task on what makes a factor. Full worked example on how to use the factor theorem to show something is a factor Full worked example on how to use the factor theorem to find missing coefficients Follow up tasks for all of this with fully worked solutions hope you find it useful and enjoy please leave feedback (will do one on remainder theorem next)
commuter
Integration Part  1 Worksheets

Integration Part 1 Worksheets

These are two worksheets on integration questions with step by step solutions. Sheet 1 has questions on basic indefinite integration, finding f(x) given f'(x) and a point. Sheet 2 focus on definite integration and application to area calculations. Detailed typed answers are provided to every question. I hope you find these useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com
joezhou
The Derivative rules

The Derivative rules

A calculus unit about the derivative rules and chain rule as well!!Propositions and a lot of solved examples!
kostas3
Calculus Link Sheet Package (12 Templates)

Calculus Link Sheet Package (12 Templates)

This package includes 12 templates to help students understand and make connections between the equations, tables, and graphs of functions and relations. These link sheets allow students to view multiple representations and to have a graphic organizer to guide them through various topics covered in AP Calculus. The teacher will begin by giving students an equation or situation for a specific template. The students will complete the table, graphs, and understanding questions on the remainder of the link sheet. This activity is great for students to work collaboratively and share and discuss the connections in math with one another. These activities will allow students to gain a better understanding of domain, range, limits, points of discontinuity, extended functions, removable discontinuities, differentiability, maximums, minimums, shelfs, increasing and decreasing intervals, concavity, sign charts, optimization, related rates, linearization, differentials, chain rule, composite functions, net area, total area, integrals, and separable differential equations. This package include link sheets that cover the following topics: 1) Limits 2) Continuity and Differentiability 3) Derivatives 4) Sketching First and Second Derivatives 5) Sketching Functions 6) Optimization 7) Related Rates 8) Linearization/Differentials 9) The Chain Rule (Simple Version) 10) The Chain Rule (Advanced Version) 11) Net Area and Total Area 12) Separable Differential Equations
MathAttractions
Derivative (by definition )

Derivative (by definition )

The following resource is about derivative by definition.Explanation by examples and solved exercises ,contains theory with graphs and some exercises at the end for practice!
kostas3
Partial Fractions Codebreaker 3

Partial Fractions Codebreaker 3

The usual terrible joke revealed having dealt with partial fractions with mixed numbers (a remainder) and partial fractions with (x+n)^2 on the denominator.
alutwyche
Introduction to exponentials and exponential curves

Introduction to exponentials and exponential curves

Aimed at first lesson with KS4/5 pupils on exponentials. (will be using it with my IB year 12s) Covers what an exponential is, recaps the index laws (rules of exponents), links in to domain and range of functions and transforming functions so would work well after covering those topics. discussion tasks, starter activity, drawing and comparing graphs hope you enjoy, please leave feedback in a review (the 2 files are basically the same, one with UK terms used the other with the terms needed in the IB) cheers
commuter
GCSE 9-1 Exam Question Practice (Functions)

GCSE 9-1 Exam Question Practice (Functions)

This carefully selected set of exam questions has fully-worked solutions designed for students to go through at home. This can save a lot of valuable time in class. Click https://tes.com/.../Exam Question Practice to download questions on 40 other topics. -- These 'booklets' cover the full range of skills expected at GCSE for this topic. The questions include inverse functions and composite functions. They are great for independent study, for a homework , or for working together in class. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do independent study.
Maths4Everyone