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Algebra Basics
Algebra Basics - MYP 4 & 5 Unit Plan
Constants & Variables
Understanding Terminology – Variables and Constants
Equations & Expressions
Understanding Terminology – Equations and expressions
Like & Unlike Terms
Understanding Terminology - Like and Unlike terms
Monomials, binomials, trinomials & poynomials
Understanding Terminology – Monomial, Binomial, Trinomial and Polynomial
Identify the number of terms
Degree of a polynomial
Degree of the polynomial
Addition involving one term
Addition of Algebraic Terms, involving one set of like terms
Addition involving two sets of like terms
Addition of Algebraic Terms, involving two sets of like terms
Addition involving three or more sets of like terms
Addition of Algebraic Terms, involving three or more sets of like terms
Subtraction involving one set of like terms
Subtraction involving one set of like terms
Subtraction involving two set of like terms
Subtraction involving two like terms
Subtraction involving Three Or more setS of like terms
Subtraction involving three or more like terms
Combination of Addition or Subtraction
Combination of Addition and Subtraction
Multiplication of two or three monomials
Multiplication of two monomials
Multiplication of three monomials
Expansions Involving Monomials
Multiplying constant and binomial expression
Multiplying constant and trinomial expression
Simplification of expressions
Expansions Involving Binomials
Multiplying two binomial expressions
Simplification after Multiplication of two binomials
Multiplication of three binomial expressions
Multiplication of three binomial expressions
Multiplication of two trinomial expressions
Multiplication of two trinomial expressions
Division of a monomial by a monomial
Division of a monomial by a monomial
Division of a Binomial Trinomial by a monomial
Division of a Binomial Trinomial by a monomial
Expansions
Expansions - MYP 4 & 5 Unit Plan
Expansions Involving Monomials
Multiplying constant and binomial expression
Multiplying constant and trinomial expression
Simplification of expressions
Expansions Involving Binomials
Multiplying two binomial expressions
Simplification after Multiplication of two binomials
Expansions Involving Difference of Squares
Difference of Squares
Application of Difference of squares with whole numbers
Application of Difference of squares with decimals
Expansions Involving Perfect Squares
Perfect Squares Expansion with whole numbers
Perfect Squares Expansion with fractions and decimals
Perfect Squares Expansion (where x term has a coefficient)
Perfect Squares Expansion (with x coefficient and fractions/decimals)
Perfect Squares Expansion (where x term has a power)
Simplification after Perfect Squares Expansion
Factorization
Factorization - MYP 4 & 5 Unit Plan
Factorization Taking Common Factors
Factorization by taking a common factor
Factorization by taking a common bracket
Factorization involving difference of squares
Factorization by Difference of Two Squares
Factorization by Difference of Two Squares Involving Fractions/Decimals
Factorization by Difference of Two Squares by Taking Common
Factorization involving perfect squares
Factorization of Perfect Squares
Factorization involving four terms
Factorization Involving Four Terms
Factorization by Splitting the Middle Term
Factorization by Splitting the Middle Term
Factorization by Splitting the Middle Term by Taking Common
Factorization by Splitting the Middle Term (x2 coefficient not equal to 1)
Mixed Bag
Algebraic Fractions
Algebraic Fractions - MYP 4 & 5 Unit Plan
Basic Substitution and Evaluation
Substitution and Evaluation of Algebraic Fractions
Basic Simplification
Simplification of Fractions – Easy
Simplification of Fractions – Moderate
Simplification involving Factorization
Simplification after Factorization by taking common
Simplification after factorization by Difference of Squares
Simplification involving Splitting the Middle Term
Simplification after factorization by Splitting the middle term
Multiplication of Single Fractions
Multiplication of Single Fractions
Division of Single Fractions
Division of Single Fractions
Multiplication and division of fractions with factorization
Multiplication and division of fractions after factorization
Addition and subtraction with a constant base
Addition and Subtraction of fractions with constant base
Addition and Subtraction with Variable Base
Addition and Subtraction of fractions with a monomial expression as the base
Indices
Indices - MYP 4 & 5 Unit Plan
BASIC LAWS OF EXPONENTS
Product Law
Quotient Law
Power Law
Power law with coefficients
Power Law with Coefficients
NEGATIVE EXPONENTS
Negative Exponents (Write without negative exponents)
Negative Exponents Harder
EXPONENTS - COMBINATION
Combination (Product, Quotient, Power, Negative Exponents)
OPERATIONS ON INDICES
Operations Involving Exponents
EXPRESSING NUMBERS IN TERMS OF INDICES
Expressing numbers in terms of a base power (non GDC)
Exponents involving fractional powers
Fractional Powers involving Constants
Fractional Powers involving Variables and Constants
Solving Exponential Equations
Exponential Equations
Linear Equations
Linear Equations & Word Problems - MYP 4 & 5 Unit Plan
LINEAR EQUATIONS - CONCEPT
Choosing the right logic – Addition and subtraction
Choosing the right logic – Multiplication and Division
LINEAR EQUATIONS - BASICS
Solving Linear Equations - Basic
Solving Linear Equations with Coefficients
LINEAR EQUATIONS WITH FRACTIONAL COEFFICIENTS
Solving Linear Equations with Fractional Coefficients
Solving Linear Equations with Fractions
LINEAR EQUATIONS WITH REPEATED VARIABLES
Solving Linear Equations with Repeated Variables - Basic
Solving Linear Equations with Repeated Variables on both sides of equation
LINEAR EQUATIONS INVOLVING BRACKETS
Solving Linear Equations with Brackets
Solving Linear Equations with Repeated Variables – Involving Opening of Brackets
Solving Linear Equations with Repeated Variables – Involving Opening of Brackets on both sides of the equation
FRACTIONAL LINEAR EQUATIONS
Solving Equations involving Fractions on both sides
Solving Equations with x in the denominator
Solving Equations with a Binomial Expression in the Denominator
Solving Linear Equations with Variables in Numerator and Denominator
Word Problems on Linear Equations
Linear Equations & Word Problems - MYP 4 & 5 Unit Plan
Linear Word Problems Involving Numbers
Equations Related to Numbers
Linear Word Problems on Consecutive Numbers
Equations Related to Consecutive Numbers
Linear Word Problems on Articles
Equations related to Articles
Linear Word Problems Involving Fractions
Equations related to Fractions
Linear Word Problems Involving Ratios
Equations related to Ratios
Linear Word Problems Involving Age
Age Related Word Problems
Linear Word Problems Involving Money
Money Related Word Problems
Linear Word Problems Involving AreaPerimeter
Area- Perimeter related Equations
Equations Involving Triangles
Equations related to Triangles
Equations Involving Quadrilaterals
Equations related to Quadrilaterals
Linear Word Problems on Speed, Distance, Time
Speed Distance Time related Equations
Simultaneous Equations
Simultaneous Equations & Word Problems - MYP 4 & 5 Unit Plan
Simultaneous equations - Substitution
Simultaneous Equations - Substitution
Simultaneous Equations - Elimination
Solving simultaneous equations - Elimination
Simultaneous Equations - Rearrangement
Equations requiring simplification or rearrangement
Simultaneous Equations - Fractional Coefficients
Equations with Fractional Coefficients
Simultaneous Equations - Variable denominator
Equations where the variable is in the denominator
Simultaneous Equations - Swapped Coefficients
Simultaneous Equations with Swapped Coefficients
Simultaneous Equations - Solve Graphically
Simultaneous Equations - Solve Graphically
Simultaneous Equations - Solve using Technology
Simultaneous Equations - Solve using Technology
Word Problems on Simultaneous Equations
Simultaneous Equations & Word Problems - MYP 4 & 5 Unit Plan
Numbers
Number Problems
Fractions
Fractions
Age
Age Problems
Exchange
Exchange
Articles
Articles
Money
Money
Speed, Distance, Time
Speed Distance Time related Simultaneous Equations
Area
Area-Perimeter
Ratio
Ratios
Profit and Loss
Profit and Loss
Functions Involving Simultaneous Equations - 2 variables
Functions involving Simultaneous Equations – 2 variables
Quadratic Equations
Quadratic Equations & Word Problems - MYP 4 & 5 Unit Plan
Quadratic Equations - Basics
Solving equations – Basic
Solving equations in factored form
Quadratic Equations - Factorization
Solving Quadratic Equations by factorization
Solving Quadratic Equations by factorization where coefficient of x2 is not equal to 1
Solving Quadratic Equations, rearrangement followed by factorization
Framing a Quadratic Equation
Framing the Quadratic Equation
Solving Quadratic Equations with Formula
Solve using the formula
Quadratic Equations - Solve using Technology
Solving Quadratic Equations using Technology
Quadratic Equations - Solve Graphically
Quadratic Equations - Solve Graphically
Word Problems - Quadratic Equations
Quadratic Equations & Word Problems - MYP 4 & 5 Unit Plan
Numbers
Problem Based on Numbers
Speed, Distance, Time
Problems based on Speed, Distance & Time
Geometric Figures
Problems based on Geometrical Figures
Age
Problems based on age
Money
Problems based on Money
Formulae
Formulae - MYP 4 & 5 Unit Plan
Framing Formulae
Framing Formulae
Framing Formulae for Geometric Shapes
Basic Substitution
Formula Substitution
Formula Rearrangement
Formula Rearrangement – Linear
Formula Rearrangement – Linear (With Repetition of Variable)
Formula Rearrangement – Involving Crossover Multiplication or Division
Rearrangement involving Squares, cubes and roots
Formula Rearrangement Involving Squares and Cubes
Formula Rearrangement Involving Square/Cube Roots
Rearrangement with Repeated Variables
Formula Rearrangement – Involving Crossover and Rearrangement
Formula Rearrangement - Involving Crossover, Formula Rearrangement
Mixed Bag
Formula Rearrangement and Substitution
Formula by Induction
Formula by Induction from numbers
Formula by Induction from diagrams and patterns
General Sequences
Sequences - MYP 4 & 5 Unit Plan
Forming Sequences
Forming the Sequence
Finding the terms of a Sequence
Finding the terms of the sequence
Identifying the next few terms
Identifying the next few terms
Identify the correct Sequence
Identify the correct Sequence
Linear Inequations
Linear Inequations - MYP 4 & 5 Unit Plan
Linear Inequations - Concept
Expressing an inequality
Representing Number Lines as an Inequality
Understanding Values
Linear Inequations - Basic Sums
Solving Linear Inequalities - Basic
Solving Linear Inequalities where x has a coefficient
Solving Linear Inequations
Solving Linear Inequalities with repeated x variables
Solving Linear Inequalities by expanding brackets
Solving Linear Inequalities where x has a fractional coefficient
Solving Linear Inequalities – Harder
Word Problems