Polynomials, factors and roots
(13 sessions)
Topics worked: algebraic expressions, numerical value, polynomials, algebraic operations, expand and simplify expressions, perfect squares, difference of two squares, Ruffini's rule, remainder theorem, polynomial roots and factors, plotting algebraic expressions, use of GeoGebra.
handouts for students
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13
solutions
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13
teacher guide
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13
additional stuff
video: combining like terms
GeoGebra applets: plotting polynomials, roots of a polynomial, explicit equation straight line, implicit equation straight line, degree 2 expressions_1, degree 2 expressions_2
Equations, inequations and systems
(15 sessions)
Topics worked: biquadratic equations, polynomial equations, rational equations, irrational equations, systems of linear equations, systems of non-linear equations, inequations degree 1, inequations degree 2, inequations degree n>2, solving problems, use of GeoGebra.
handouts for students
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13 s14 s15
solutions
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13 s14 s15
teacher guide
s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13 s14 s15
additional stuff
GeoGebra applets: solve equations_1, solve equations_2, linear systeams, non-linear systems, inequations.
Algebraic expressions, polynomials
(8 sessions)
Topics worked: algebraic expressions, numerical value, polynomials, algebraic operations, expand and simplify expressions, perfect squares, difference of two squares, Ruffini's rule, remainder theorem, polynomial roots and factors, plotting algebraic expressions, use of GeoGebra.
handouts for students
s1 s2 s3 s4 s5 s6 s7 s8
solutions
s1 s2 s3 s4 s5 s6 s7 s8
teacher guide
s1 s2 s3 s4 s5 s6 s7 s8
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