math with flair

A powerful learning aid combining Practice modules, Coaching Calculators and Guides.

Factorizing quadratic expressions :

- Grid or Box method
- Grouping or AC method
- Guess and Check method
- Difference of Squares

Solving quadratic equations :

- factorization
- quadratic formula
- completing the square

Solving simultaneous linear equations :

- addition method
- elimination method
- substitution method

... and many more math topics

Modern NUMBER pencil and paper methods :

- Addition with Partial Sum and Column
- Subtraction with Trade First, Count Down and Partial Difference
- Multiplication with Partial Product, Lattice and Grid/Box
- Division with Partial Quotient
- Standard algorithms

Primes :

- Prime factorization by factor tree

- LCM by prime factorization
- LCM by listing multiples

- GCD by prime factorization
- GCD (GCF) by listing divisors

Modern FRACTION pencil and paper methods :

- Addition and subtraction in stacked or line format
- Multiplication
- Division
- Comparison

Signed numbers :

- addition, subtraction of two signed numbers
- multiplication, division of two signed numbers

Straight lines :

- finding slope given two points
- finding equation given a point and slope
- finding equation given two points
- finding equation given point and parallel line
- finding equation given point and perpendicular line

Solving linear equations and Inequalities :

- one-step x − 2 = 3
- two-step x/9 + 2 > 5
- multi-step 4 + 9x = 2x + 18
- parentheses 2(5x − 3) > 2
- decimals 2.3x + 0.75 = 4.9
- fractions 2x/3 + 6 > 1/2

Finding circle centre and radius :

- expressing equation in centre-radius form

Simplifying simple rational fractions :

- factorization

Simplifying square roots :

- perfect squares, factor trees and prime factorization

Simplifying higher order roots :

- up to sixth roots by prime factorization

rationalising radicals such as :

- 2/√50, 6/(8 + √20), 4/(2√5 + 3√45)

Solving absolute value equations and inequalities :

4|3x − 2| = 6 + 9x, 5|2 − 3x| ≥ 1

Solving radical equations :

- 2√(6x − 10) = 4
- 3√(5 − 3x) = 2x + 1
- √(x + 5) + √(x − 4) = 3

Even and odd functions :

- simple polynomial functions