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Calculator Graphing
Calculator Graphing
The calculator has four different graphing modes. Not only can you draw graphs of functions of the form 'Y is some function of X', but also functions of the form 'R is some function of theta".
You can also draw graphs that are defined using pairs of parametric equations, a technique that has applications both in pure mathematics and in the study of dynamics.
Sequence graphing mode provides three different types of graph that allow you to study the behaviour of sequences in a variety of different ways.
The four graphing modes provide a structure of the four sections of the book:
Using function graphing
You may well be familiar with the basics of this type of graph drawing but, unless you have spent many hours using your calculator in conjunction with its operating manual, you will undoubtedly find that there are graphing techniques in this section that are new to you and that are interesting and fun.
Using polar graphing
Units 4 and 5 form a short section involving the use of polar graphing. Polar coordinates are explained and you are shown how to produce spirals and other interesting shapes like the heart-shaped one shown here. This section could be studied independently of the rest of the book.
Using parametric graphing
After an introduction to this graphing mode in Unit 6, the next two units deal with applications in mechanics, and Units 9 and 10 with applications in pure mathematics. Each pair of units could be studied independently.
Using sequence graphing Unit 11 provides an introduction to iterative methods of defining sequences in general and the next four units cover time-sequence graphs, staircase and cobweb diagrams and phase plots. Units 11 to 16 are best worked through in order.
What are the contents of the book?
Using function graphing:
Unit 1 What is a function?
Unit 2 Moving graphs
Unit 3 Regression
Using polar graphing:
Unit 4 Polar explorations
Unit 5 Stars and hearts
Using parametric graphing:
Unit 6 Introducing parametric graphing
Unit 7 Time as a third parameter
Unit 8 Projectiles and pendulums
Unit 9 Ellipses and epicycloids
Unit 10 Parabolas
Using sequence graphing:
Unit 11 Prelude to sequence graphing
Unit 12 Graphing the Fibonacci sequence
Unit 13 Sequences, series and calculator buttons
Unit 14 Investigating convergence
Unit 15 Steps into chaos
Unit 16 A predator/prey model
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£11.95
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Calculator Statistics
Calculator Statistics
This is certainly not a conventional statistics textbook! Like no other book on Statistics that we have seen, it really gets to the heart of the big ideas of this subject by fully exploiting the TI-83Plus (or TI-83) graphics calculator.
Calculator Statistics provides only the bare essentials on theory and formal notation. Also, statistical results are not formally proved here (there are many other good textbooks that do these things). What the book does do is tap into your intuitions about statistics and demonstrates some of its big ideas by letting you play with batches of data on the calculator. This should provide you with a bedrock understanding of what statistics is really about. Once you've grasped the gist of it all, it will be easier for you, later, to read the theoretical stuff with understanding.
The book covers a range of statistical ideas that would normally be included in courses at advanced school level or lower college/university level.
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£9.95
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30 Calculator Lessons for Key Stage 3
30 Calculator Lessons for Key Stage 3
ISBN 0-9541020-0-2
Edited by Barrie Galpin and Alan Graham
The DfEE in England and Wales published the Key Stage 3 National Strategy, Framework for teaching mathematics: Years 7, 8 and 9. Central to the Framework is the appropriate use of technology, particularly graphics calculators.
This book provides 30 lesson plans, each consisting of a page of teacher notes and one or more student handouts. These are written specifically for the Texas Instruments TI-83 or TI-83 Plus calculators. The teacher notes reflect the lesson structure suggested in the Framework:
Starter à Main activity à Plenary session.
Also in the teacher notes is a section containing all the information needed to link the lesson to the National Strategy Framework document.
What calculator skills are needed?
The lesson outlines assume a very basic level of competence with the calculator, particularly for the teacher. In every lesson there is reference to the teacher using a view-screen calculator as a sort of electronic blackboard for full-class teaching. Teachers who are not confident users of the calculator will find that a copy of Calculator Maths: Foundations Plus will help them acquire all the basic calculator skills that they will need for these 30 lessons. The other books in the Calculator Maths series are also a useful complement to this one, with lots more activities for use at Key Stages 3 and 4.
CONTENTS
1 Drawing shapes: plotting coordinates
Using and applying Y7
2 Likely heights: using a formula
Using and applying Y7
3 In sequence
Using and applying Y7
4 0.1 and 0.01: multiplying and dividing
Number Y8
5 Prime time
Number Y8
6 Ordering decimals
Number Y7
7 Complements
Calculations Y8
8 Steps: mental agility on a number line
Calculations Y8
9 There and back again: inverse operations
Calculations Y8
10 The rules of algebra
Algebra Y7
11 Puzzling pairs: simple simultaneous equations
Algebra Y9
12 Foreign exchange: graphs to solve simple problems
Algebra Y8
13 Think of a number
Algebra Y9
14 Substitution
Algebra Y8
15 Fraction sequences
Algebra Y9
16 Guess the rule
Algebra Y7
17 Squares in a cross: general terms for a sequence
Algebra Y8
18 Patio potty: shape and number patterns
Algebra Y7
19 Straight lines through the origin
Algebra Y7
20 Quadratic functions
Algebra Y9
21 Quadrilateral crazy: gradients of parallel lines
Algebra Y9
22 Circle area
Shape Y9
23 Reflected
Shape Y7
24 Trig ratios
Shape Y9
25 Cumulative frequency
Data Y9
26 Tracks stats: comparing mean and median
Data Y8
27 UK births and deaths: line graphs
Data Y9
28 Distance-time graphs
Data Y9
29 Relative frequency
Data Y9
30 Meaning: mean of a large data set
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£30.00
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30 Calculator Programs
30 Calculator Programs
ISBN 0-9541020-3-7
By Alan Graham and Barrie Galpin
This new book is a companion to the very successful 30 Calculator Lessons. It has been written to motivate, challenge, entertain and enlighten students aged 11 to 16.
The new book provides another 30 plans for lessons, each consisting of a page of teacher notes and two more of student handouts. Once again, these are written specifically for the Texas Instruments TI-83 or TI-83 Plus calculators.
However, each of these lessons is based on a simple calculator program that students are encouraged to create for themselves.
Short programs
This is certainly not a book of clever and complicated programs for teachers to dazzle the class with!
On the contrary, these photocopiable worksheets, help pupils to create their own short programs and show how they can be gradually built up from the bare bones of a skeleton version to something more sophisticated.
Why programs?
As a teacher of algebra, how successful have you been in helping your students to gain a good understanding of the idea of a variable? If your experience has been anything like ours, the answer may be, not very!. A major difficulty in the teaching of algebra is that it can easily appear to students to be just a mindless manipulation of symbols to no good purpose. The power and purpose of algebraic thinking in clarifying and solving problems can be a crucial missing link for the majority of students.
From our own experience working with students in the 11 to 16 year age group, the great pay-off with getting them to create simple programs on a graphics calculator is that they can experience, directly and easily, algebraic letters working for them as variables in a micro-world of their own making.
As well as the algebraic benefits there are many other good reasons to include simple programming in your teaching: here are some of them.
By creating their own short programs pupils can:
· use their maths in a purposeful way to achieve a meaningful goal,
· learn some useful programming skills,
· understand the way in which letters are used as variables,
· think logically and create programs for their own use and re-use,
· investigate concepts for themselves,
· apply maths to everyday problems and situations and across the curriculum,
· play games and generally have fun with maths,
· engage in mathematical modelling and gain a better understanding of what modelling is,
· experience success, motivation and a sense of personal empowerment.
Some features of this book
Modules: There are 30 modules, each one based around a short program, which students will create for themselves on a graphics calculator.
Handouts and teacher pages: Each module consists of handouts for the students, together with a page of teacher notes.The handouts are divided into a series of activities that give the instructions for creating and using the programs.The teacher pages provide an introduction to and a justification for the use of the program, indicating the key mathematical ideas.There are comments on the activities and, where appropriate, solutions and suggestions for extension work.
Skeleton programs: Although a calculator program can include many commands that make it easy to use, it can often be pared right down to a skeleton of essential commands.In this book we help students to create very short skeleton programs (perhaps two or three lines only) and then flesh them out and fine-tune them later.
Handy hints for programmers: There is a short section giving advice on the basic calculator skills of how to create, execute and edit a program.There is also a list explaining the most useful commands that are used in programs.
The calculator: This book is written specifically for the Texas Instruments TI-83 or TI-83 Plus calculators: if you are using a different model of calculator, the modules will need to be adapted. For example, some activities include a list of the keys presses needed and, throughout the book, the text is illustrated with screenshots showing what you may expect to see on your calculator screen.
Bronze, Silver and Gold: The modules and programs have been presented in three levels. In general the bronze modules deal with lower level mathematics, require simple programming commands only and are strongly supported in terms of the provision of detailed key sequences. As students gain programming experience and move on to silver and then gold modules, the levels of mathematical and programming sophistication increase, as does the expectation that the students will take greater initiative and independence.
Price:
£30.00
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First Lessons with Graphics Calculators
Price:
£30.00
( £35.25 Including VAT at 17.5% )
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Algebra
The four books, Number, Algebra, Shape and Handling data
have been written to integrate fully with the graphics calculator and cover most of the topics in the UK National Curriculum. Each of these books consists of a series of four-page units with activities, Brain stretchers, discussion sections and, at the back, corresponding pages of solutions and comments.
What are the Brain stretchers and the Discussion sections?
Most of the units have some Brain stretchers; they are optional and usually harder sections which may stretch your brain just that bit further. Does your brain need stretching? - well you are the best one to know. If you fancy a challenge try some of these.
Price:
£8.95
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Shape
The four books, Number, Algebra, Shape and Handling data
have been written to cover most of the topics in the UK National Curriculum. Each of these books consists of a series of four-page units with activities, Brain stretchers, discussion sections and, at the back, corresponding pages of solutions and comments.
What are the Brain stretchers and the Discussion sections?
Most of the units have some Brain stretchers; they are optional and usually harder sections which may stretch your brain just that bit further. Does your brain need stretching? - well you are the best one to know. If you fancy a challenge try some of these.
At the end of each unit there is a list of points for discussion which your teacher may want you to think about. If you are working on your own you should think about these and make some notes before looking at the comments in the back of the book.
Price:
£8.95
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Number
The four books, Number, Algebra, Shape and Handling data
have been written to cover most of the topics in the UK National Curriculum. Each of these books consists of a series of four-page units with activities, Brain stretchers, discussion sections and, at the back, corresponding pages of solutions and comments.
What are the Brain stretchers and the Discussion sections?
Most of the units have some Brain stretchers; they are optional and usually harder sections which may stretch your brain just that bit further. Does your brain need stretching? - well you are the best one to know. If you fancy a challenge try some of these.
At the end of each unit there is a list of points for discussion which your teacher may want you to think about. If you are working on your own you should think about these and make some notes before looking at the comments in the back of the book.
Price:
£8.95
( )
Quantity:
Handling Data
The four books, Number, Algebra, Shape and Handling data
have been written to cover most of the topics in the UK National Curriculum. Each of these books consists of a series of four-page units with activities, Brain stretchers, discussion sections and, at the back, corresponding pages of solutions and comments.
What are the Brain stretchers and the Discussion sections?
Most of the units have some Brain stretchers; they are optional and usually harder sections which may stretch your brain just that bit further. Does your brain need stretching? - well you are the best one to know. If you fancy a challenge try some of these.
At the end of each unit there is a list of points for discussion which your teacher may want you to think about. If you are working on your own you should think about these and make some notes before looking at the comments in the back of the book.
Price:
£8.95
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Foundations Plus
The first book in a series of five, Foundations Plus covers all the basic calculator skills.
Like how to:
· do simple calculations
· edit key sequences
· handle data in lists
· draw and explore graphs
· write simple programs
and there's a helpful 'how-to' section as well.
Price:
£8.95
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Calculator Maths series (5 books)
The Calculator Maths series
by Alan Graham and Barrie Galpin
The series comprises the 5 books shown above. Lively mathematics books for students aged 12 and up, based on the Texas Instruments graphics calculator range.
The books are written for the powerful TI-83 or TI-84 families of graphic calculators.
The five books in the series are:
· Foundations Plus
· Number
· Algebra
· Shape
· Handling data
What sort of calculator will I need?
The books have been written with the Texas Instruments families of graphics calculators in mind - the TI-83 and TI-84.
If you are using another make or model of graphics calculator you may need to adapt many of the activities, although the ideas and principles can still be applied.
Will the books teach me to use the graphics calculator?
Yes! The first book, Foundations Plus, covers all the basic calculator skills.
Like how to:
* do simple calculations
* edit key sequences
* handle data in lists
* draw and explore graphs
* write simple programs
and there's a helpful 'how-to' section as well.
What maths does the series cover?
Calculator Maths shows how the graphics calculator is much more than just a graphing aid. It's a mathematical laboratory which lets you discover things for yourself.
The four books, Number, Algebra, Shape and Handling data
have been written to integrate fully with the graphics calculator and cover most of the topics in the UK National Curriculum. Each of these books consists of a series of four-page units with activities, Brain stretchers, discussion sections and, at the back, corresponding pages of solutions and comments.
What are the Brain stretchers and the Discussion sections?
Most of the units have some Brain stretchers; they are optional and usually harder sections which may stretch your brain just that bit further. Does your brain need stretching? - well you are the best one to know. If you fancy a challenge try some of these.
At the end of each unit there is a list of points for discussion which your teacher may want you to think about. If you are working on your own you should think about these and make some notes before looking at the comments in the back of the book.
Price:
£33.95
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