Making an analogy - teaching
factorisation of quadratics to a student that doesn't know their timestables is near impossible.
It involves
factorisation of trinomials using perfect squares and difference of two squares.
Several worksheets to support teaching expansion and
factorisation of quadratic expressions.
Not exact matches
Factoring a single RSA number is a massive effort, says Arjen Lenstra
of the Swiss Federal Institute
of Technology in Lausanne, so he and his colleagues have developed a
factorisation factory that can tackle multiple target numbers at once.
THE first tests
of a «
factorisation factory» have beaten the record for breaking gigantic numbers down into their prime - number building blocks.
Questions divided into 3 sections to make use
of factorisation, completing the square and quadratic formula method.
10 Power point presentations including the following topics: - Solving quadratic equations by: -
Factorisation - Completing the square - Using the quadratic equation - Using GDC - Roots
of quadratic equations.
A bundle
of algebraic assignments from the two collections
of Topic Homework assignments that I have published; this bundle contains a wealth
of practice that includes understanding
of coordinate geometry, forming and solving equations,
factorisation and other aspects
of algebraic manipulation, transformation
of functions, solving and interpreting inequalities, solving simultaneous equations and quadratics.
Worksheet covers solving quadratic equations using one
of four methods;
Factorisation, Graphs, completing the square and using a formula.
Lesson 1: Start with motivating example that it is in theory possible to find pairs
of numbers for
factorisation for any solvable quadratic, but in some cases this guessing difficult, as it involves surds, and instead we use completing the square to factorise.
Most suitable for all sets but particularly the top sets as it has cubic
factorisation as well with (common x) and difference
of two squares, snap bracket
factorisation.
Learning objectives: A variety
of topics including
factorisation, statistics, equations, geometry and differentiation.
The distributive law Arithmetic
of rational numbers Rates and Ratios Power laws Percentages
Factorisation Irrational numbers Plotting linear equations Solving systems
of two linear equations Solving quadratic equations by completing the square
The topics covered by these worksheets are: Rates and Ratios Percentages The Arithmetic
of Rational Numbers The Distributive Law Power Laws Irrational Numbers Plotting Linear Equations Solving a System
of Two Linear Equations
Factorisation Solving Quadratic Equations by Completing the Square These topics follow the «Number and Algebra» content for the Australian Year 8 Mathematics Curriculum but may be suitable for other courses at a similar level.
A large collection
of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets
Factorisation Quadratic fac
Factorisation Quadratic
factorisationfactorisation 9.
Bundle includes lessons on: Naming and drawing lines in the form
of y = mx + c, Expanding single brackets, Factorising single brackets, Expanding double brackets, Factorising quadratic equations, Index notation and index laws, Fractional and negative indices, Introduction to inequalities, Solving inequalities, Inequalities on graphs, Quadratic graphs, Cubic and reciprocal graphs, Exponential graphs, Solving simultaneous equations with graphs, Solving simultaneous equations, Solving quadratic equation by
factorisation, Introduction to completing the square, Introduction to solving equations using the quadratic formula, Solving equations, Unknowns on both sides, Solving equations with brackets, Expand and simplify to solve equations, Solving equations with fractions, Set up and solving equations.