Unit: Expressions and System of Equations Real World Problems Involving Systems of Equations Unveiling the Power of Systems What are Systems of Linear Equations? Remember those times you had to juggle multiple tasks with different requirements? Systems of equations are similar – they consist of two or more linear equations (containing x and y) […]
Unit: Expressions and System of Equations Understanding Expressions and System of Linear Inequalities Expressions: Basics: Expressions are mathematical phrases that combine numbers, variables, and operations (like addition, subtraction, multiplication, and division). Types: Algebraic: Contains variables and constants. Example: 3x + 5. […]
Unit: Craft & Structures Chapter: Command of Evidence A Guide to Clear and Confident Writing. The topics covered in this chapter will include: Understanding Evidence, Identifying Evidence in Texts, Evaluating Evidence, Using Evidence Effectively, Citing Evidence, Constructing Arguments with Evidence, Case Studies and Examples, Common Pitfalls in Using Evidence Understanding Evidence: Definition and types […]
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 […]
Unit: Functions Interpretation and Manipulation Chapter: Putting Variables in Terms of Other Variables Reference: – Understanding dependent and independent variables, solving for one variable in terms of another, manipulating linear equations to express a variable, using substitution to solve equations, Interpreting formulas in context, converting word problems into variable expressions, simplifying algebraic expressions for clarity, […]
Unit: Zeros, Parabolas, And Polynomial Graphing Chapter: Function Transformations Reference: – Understanding vertical and horizontal shifts of functions, Effects of vertical and horizontal stretches and compressions, Reflections of functions across the x-axis and y-axis, Combinations of multiple transformations in sequence, identifying parent functions and their transformed versions, writing equations for transformed graphs, sketching graphs using […]
Unit: Zeros, Parabolas, And Polynomial Graphing Chapter: Zeros of Function Reference: – Definition of zeros of a function, finding zeros of polynomial functions, Relationship between factors and zeros, solving for zeros of quadratic functions, Identifying the multiplicity of zeros, Using the Factor Theorem, using synthetic division to find zeros, Graphical interpretation of zeros, The Rational […]
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 […]