Preview IB MYP 4 & 5 Algebra (Extended)

Algebra Basics

Algebra Basics_MYP4&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 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 two trinomial expressions

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 _MYP4&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

Further Expansions - I

Expansion of a binomial and trinomial expression

Expanding the product of a monomial and two binomial expressions

Factorization

Factorization_MYP4&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 by Taking Common

Factorization by Splitting the Middle Term (x2 coefficient not equal to 1)

Mixed Bag

Algebraic Fractions

AlgebraicFractions_MYP4&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

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_MYP4 &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 using Technology

Word Problems on Simultaneous Equations

Simultaneous Equations & Word Problems - MYP 4 & 5 Unit Plan

Numbers

Number Problems

Fractions

Age

Age Problems

Exchange

Articles

Money

Speed, Distance, Time

Speed Distance Time related Simultaneous Equations

Area

Area-Perimeter

Ratio

Ratios

Profit and Loss

Functions Involving Simultaneous Equations - 2 variables

Functions involving Simultaneous Equations – 2 variables

Quadratic Equations

Quadratic Equations_MYP4&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

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 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

Identify the correct Sequence

Arithmetic Sequences

ArithmeticSequences_MYP4&5_Unit Plan

Arithmetic Sequence - Concept

Identifying the first term and common difference

Identify first term and common difference

Finding the general term

Finding the nth term

Finding the number of terms

Number of terms in sequence

Finding the term number

Checking if a term belongs

Geometric Sequences

Geometric Sequences -MYP 4 & 5 Unit Plan

Geometric Sequences - Concept

Identify first term and common ratio

Finding the first term and common ratio

Finding the next few terms

Finding next few terms

General Term of a Sequence

Finding the general term of a sequence

Finding the particular term of a Sequence

Identifying the term number

Finding the term number of a 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

Linear Inequalities in a Cartesian Plane (Linear Programming)

Linear Programming - MYP 4 & 5 Unit Plan

Linear Inequalities - Single Variable

Inequalities Represented by Shaded Regions (Single Variable)

Linear Inequalities - Two Single Variables

Inequalities Represented by Shaded Regions (Two Single Variable Equations)

Linear Inequalities - Two Variables

Region Representing the Inequality – Involving Two Variables

Using Shaded Region to represent Inequalities with Two Variables

Linear Inequalities - Multiple Inequalities

Multiple Inequalities Represented by Shaded Regions

Using Shaded Region to represent Multiple Inequalities

Application of Linear Inequalities

Application

Exam Style Questions

Preview - IB MYP 4 & 5 Algebra (Extended)