The Little Book of Algebra

Answers – Section 6 2.

(Linear and Quadratic Graphs)
Table 1
Linear Graphs
1.

Table 2 2.

Quadratic Graphs
1.

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Answers – Section 7
(Linear & Quadratic Modelling)
Question 1 – a. 11 months
Question 2 – a. 5 feet, b. 10 feet

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References

1) History of Algebra –
Igor Chudov, “History of Algebra”, Available from:
http://www.algebra.com/algebra/about/history/

2) About Algebra Education –
Deb Russell, “What is Algebra? Why take Algebra?”, Available from:
http://math.about.com/od/algebra/a/WhyAlgebra.htm

3) Linear Equations / Graphing –
The Algebra Toolbox, “Linear Functions”, Available from:
https://lzlomek.wordpress.com/category/linear-functions/

4) Math Worksheets (Algebra) –
Kuta Software LLC, “Algebra Worksheets”, Available from:
https://www.kutasoftware.com/free.html

5) Quadratic Equations Worksheets –
Math Warehouse, “Quadratic Equation Worksheets”, Available from:

http://www.mathworksheetsgo.com/sheets/algebra-2/quadratic-equation-worksheets/
Math Worksheets 4 Kids, “Printable Worksheets for Kids”, Available from:
http://www.mathworksheets4kids.com

6) Algebra Word Problems –
Jetser Carasco, Algebra Word Problems”, Available from:
http://www.basic-mathematics.com/algebra-word-problems.html

7) Steps to Graphing Linear Equations –
WikiHow, “How to Graph Linear Equations”, Available from:
http://www.wikihow.com/Graph-Linear-Equations

8) Quadratic Models –
Christian R. Hirsch, James T. Fey, Eric W. Hart, Harold L. Schoen and Ann E. Watkins,
“Lesson 3: Quadratic Models”, Available from:
http://www.wmich.edu/cpmp/1st/unitsamples/pdfs/C2U4_265-273.pdf

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9) Squaring & Cubing Numbers (Pictures) –
BBC Bitesize, “Number Patterns”, Available from:

http://www.bbc.co.uk/bitesize/ks3/maths/algebra/number_patterns/revision/4/
10) Signs when Factoring Quadratics –

Lisa Johnson, She Loves Math,
“Solving Quadratics by Factoring and Completing the Square”, Available from:
http://www.shelovesmath.com/algebra/intermediate-algebra/factoring-quadratics-and-
completing-the-square/
11) Picture on Cover Pager –
Sparrow, W. (2014) Maths Symbols [Picture], Available from:
http://1.bp.blogspot.com/-
PUbzNTdyCaE/U4SfUgX1rDI/AAAAAAAADNs/HbrA9CVMvJw/s1600/maths-symbols1.jpg
12) Quadratic Equation Graphing –
Caffey, “Graphing Quadratic Equations”, Available from:
https://caprewettmath.files.wordpress.com/2014/09/graphing-quadratics-with-t-tables.pdf

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Appendix – Lough Gur Stone Circle & Heritage Centre
In Lough Gur there is a Stone Circle that was built 5,000 years ago without using
any of the modern technology or tools and machines that we have today.
Through research and archaeological studies, it has been concluded that the
people living in Grange, County Limerick at the time used basic Algebra
Mathematic techniques and the work of 100 years to build the oldest and largest
Stone Circle in Ireland.
The worksheets below provided by Dr. Vincent Casey from University of Limerick
works through the process and allowing you the chance to work out how to build
the Stone Circle in Grange on your own:
Part 1 – Theory & Technology Used to Build the Stone Circle (page 55)
Part 2 – Activity (page 59)

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Part 1 – Theory & Technology Used to Build the Stone Circle

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Part 2 – Activity

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