Unit: Non-linear functions Chapter: Rational, Radical and Other Nonlinear Functions Reference: – Introduction to Rational Functions, Graphing Rational Functions, Identifying Asymptotes (Vertical and Horizontal), Simplifying Rational Expressions, Understanding Radical Functions, Operations with Rational Functions, Graphing Square Root and Cube Root Functions, Solving Equations Involving Rational and Radical Expressions, Domain and Range of Rational and Radical […]
Unit: Polynomials Chapter: Multiplying and Dividing Polynomials Reference: – Understanding polynomial multiplication, Distributive property with polynomials, using area models for multiplication, Box method for binomial expansion, FOIL method for binomial products, multiplying monomial and polynomial, Multiplying binomials and trinomials, Patterns in polynomial multiplication, Polynomial long division, Synthetic division basics, Division by binomials After studying this […]
Unit: Polynomials Chapter: Adding and Subtracting Polynomials Reference: – Understanding polynomial terms and structures, identifying like terms in polynomials, grouping like terms for simplification, adding polynomials using horizontal method, adding polynomials using vertical method, subtracting polynomials using sign change, subtracting polynomials using horizontal method, subtracting polynomials using vertical method, identifying degrees after operations, Applying operations […]
Unit: Polynomials Chapter: Zero of Polynomials Reference: – Definition of a polynomial and its degree, Finding the zeroes (roots) of a polynomial function, Relationship between factors and roots of a polynomial, The Fundamental Theorem of Algebra, Methods for finding real and complex zeros, Synthetic division and long division for polynomials, The role of multiplicity in […]
Unit: Polynomials Chapter: Factoring polynomial – Manipulation of Polynomials Reference: – Understanding the structure of polynomials, identifying common factors in polynomial terms, Factoring using the distributive property, Factoring trinomials with multiple terms, Factoring by grouping, Difference of squares in polynomials, Perfect square trinomials, Recognizing special factoring patterns, Simplifying expressions through factoring After studying this chapter, […]
Unit: Quadratic Equations Chapter: Undefined Functions Reference: – Understanding Domain Restrictions, Division by Zero in Quadratic Expressions, Identifying Undefined Points in Graphs, Function Notation and Undefined Values, Roots Causing Undefined Outputs, Restrictions from Square Roots of Negatives, Denominators in Rational Quadratics, Discontinuities in Quadratic Functions, Identifying Excluded Values, Vertical Asymptotes from Undefined Expressions, Translating real-life situations […]
Unit: Quadratic Equations Chapter: Completing the Squares Reference: – Concept of completing the square, rewriting quadratic expressions in perfect square form, using algebra tiles or geometric visualization, solving quadratic equations by completing the square, converting standard form to vertex form, Application in finding vertex of a parabola, Role of square completion in deriving the quadratic […]
Unit: Quadratic Equations Chapter: Quadratic Formulas Reference: – Understanding the standard form of a quadratic equation, Derivation of the quadratic formula, identifying coefficients from standard form, Applying the quadratic formula to solve equations, Discriminant and nature of roots, solving equations with real and complex solutions, Simplifying square roots in the formula, avoiding common mistakes in […]
Unit: Quadratic Equations Chapter: Square Root Methods, Nature of Roots Reference: – Solving Quadratic Equations Using Square Roots, Understanding Perfect Square Trinomials, Applying the Principle of Square Roots, Working with Non-Perfect Square Roots, Interpreting the Discriminant, Classifying the Nature of Roots (Real, Imaginary, Rational, Irrational), Graphical Meaning of Roots, Real-life Applications of Square Root Method, […]
Unit: Functions Interpretation and Manipulation Chapter: Identifying Constraints Reference: – Understanding what constraints are in mathematical problems, identifying domain and range restrictions in functions, Interpreting inequalities as constraints, analysing feasible regions in graphical models, solving problems with multiple constraints, Exploring constraints in optimization problems, using constraints to narrow down possible solutions in systems of equations […]