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