Muhammad ibn Musa al-Khwarizmi;(780 – c. 850), was a Persian polymath who, amongst his many achievements in algebra, demonstrated how to solve quadratic equations by completing the square, for which he provided geometric justifications.
QUADRATIC FUNCTIONS
Key questions
How do we expand and factorise?
What is a quadratic function?
Can we plot the graph of a function?
Can we problem solve with quadratic graphs?
What is the completed the square form?
Can we work with algebraic fractions?
6 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Introduce...
square numbers - 2
plotting quadratic functions - 2, 3
plotting quadratics dr frost - 2, 3
modelling with quadratic curves - 2, 3, 4
expanding double brackets - 1, 2
expanding matching - 1, 2
expansion questions - 1, 2
factorising - 1
single brackets - 1
tap top - 1
understanding structure - 1, 2
factorising a=1 - 1, 2
factorising treasure hunt - 1, 2
3 points define a quadratic - 2, 3, 4
Develop...
factorising questions - 1, 2
difference of 2 squares - 1, 2
factorising a not equal to 1 - 1, 2
investigating quadratic graphs - 2, 3, 4
quadratic graphs and the factored form - 1, 2, 3, 4
higher quadratic graphs and factored form - 1, 2, 3, 4
the general factored form - 1, 2, 3, 4
completing the square - 1, 2, 5
completing the square cards - 1, 2, 4, 5
completing the square matching - 1, 2, 4, 5
investigating completed square form - 1, 2, 3, 4, 5
adding algebraic fractions - 1, 6
Extend...
factoring twins - 1, 2
properties and form of quadratic functions - 1, 2, 3, 4, 5
complete the square - 1, 2, 5
quadratic graph match don - 1, 2, 4, 5
comparing 2 areas - 1, 2
factorisable quadratics - 1, 2
quadratic area puzzles - 1, 2
quadratic curve properties - 3, 4
versions - 1, 2