A powerful learning aid combining Practice, Coaching Calculators and Guides to speed the learning process throughout the school years.
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
Modern FRACTION pencil and paper methods :
- Addition and subtraction in stacked or line format
- Multiplication
- Division
PRIMES
- Prime factorization by factor tree
- LCM by prime factorization
- LCM by listing multiples
- GCD by prime factorization
- GCD (GCF) by listing divisors
SIGNED NUMBERS
- addition, subtraction of two signed numbers
- multiplication, division of two signed numbers
SOLVING LINEAR EQUATIONS
- one-step
x − 2 = 3, 5 + x = 4, 3x = -12, x/7 = 2
- two-step
3x + 8 = 20, x/9 + 2 = 5
- multi-step
4 + 9x = 2x + 18
SOLVING SIMULTANEOUS LINEAR EQUATIONS
- addition method
- elimination method
- substitution method
SOLVING LINEAR INEQUALITIES
- one-step
x − 2 ≤ 3, 5 + x ≥ 4, 3x ≤ -12, x/7 ≥ 2
- two-step
3x + 8 ≥ 20, x/9 + 2 ≤ 5
- multi-step
4 + 9x ≥ 2x + 18
FACTORIZING QUADRATIC EXPRESSIONS
- by Difference of Squares
- by Guess and Check method
- by Grid or Box method
- by Grouping or AC method
SOLVING QUADRATIC EQUATIONS
- by factorization
- by quadratic formula
- by completing the square
SOLVING QUADRATIC INEQUALITIES
- by sketching associated graph
FINDING VERTEX OF QUADRATIC GRAPH
- by completing the square
FINDING CIRCLE CENTER AND RADIUS
- by expressing equation in centre-radius form
SIMPLIFYING SIMPLE RATIONAL FRACTIONS
- by factorization
SIMPLIFYING SQUARE ROOTS
- by perfect squares, factor trees and prime factorization
SIMPLIFYING HIGHER ROOTS
- up to sixth roots by prime factorization
RATIONALIZING RADICALS such as :
- 2/√50, 6/(8 + √20), 4/(2√5 + 3√45)
SOLVING ABSOLUTE VALUE EQUATIONS AND INEQUALITIES
4|3x − 2| = 6, 5|2 − 3x| ≥ 1
SOLVING RADICAL EQUATIONS
- 2√(6x − 10) = 4
- 2√(5 − 3x) = 2x + 1
FINDING FUNCTION DOMAINS
- simple radical and rational functions
EVEN AND ODD FUNCTIONS
- simple polynomial functions