Unit: Sequences in Functions Chapter: Recursive Sequences Reference: – Definition of a Recursive Sequence, Initial Conditions, Recursive Rule (Recurrence Relation), First-Order Recursive Sequences, Higher-Order Recursive Sequences, Difference Between Recursive and Explicit Formulas, Generating Terms from a Recursive Formula, Domain of Recursive Sequences, Real-World Applications of Recursive Sequences, converting a Recursive Sequence to an Explicit Formula […]
Unit: Graphing: Create Functions Chapter: Depict Real-World Situations using Graphing of Functions Reference: – Understanding Real-World Variables in Functions, Translating Real-World Problems into Algebraic Functions, Linear Functions in Real-World Situations, Quadratic Functions in Real-World Situations, Exponential Functions in Growth and Decay Models, Piecewise Functions for Real-World Cost Structures, Absolute Value Functions in Error or Deviation […]
Unit: Graphing: Interpretation Chapter: Comparing Different Function Representations Reference: – Understanding Different Function Forms, Converting Between Representations, Recognizing Linear Functions Across Representations, Comparing Non-Linear Functions (Quadratic, Exponential, etc.), Interpreting Tables of Values, Matching Graphs with Equations, Identifying Key Features Across Forms, Comparing Growth Patterns, Analysing Behavior from Verbal Descriptions, Piecewise Function Representation Comparison, Effect of […]
Unit: Graphing: Interpretation Chapter: Rate of Change and Impact on Function Manipulation Reference: – Concept of Rate of Change in Functions, Average Rate of Change Over an Interval, Instantaneous Rate of Change, Slope of Linear Functions as Constant Rate of Change, Interpreting Non-Linear Rate of Change, Effect of Changing Slope on the Graph, Vertical Stretch […]
Unit: Revisiting real numbers Chapter: Radicals & their respective exponents Reference: – Definition of Radicals, Definition of Exponents, Relationship Between Radicals and Rational Exponents, Simplifying Radicals, Laws of Exponents (Product, Quotient, Power Rules), Converting Between Radical and Exponential Form, Multiplication of Radical Expressions, Division of Radical Expressions, Rationalizing the Denominator, Adding and Subtracting Radicals, Negative […]
Unit: Revisiting real numbers Chapter: Operations on Real Numbers Reference: – Addition of Real Numbers, Subtraction of Real Numbers, Multiplication of Real Numbers, Division of Real Numbers, Commutative Property, Associative Property, Distributive Property, Additive Identity, Multiplicative Identity, Additive Inverse, Multiplicative Inverse (Reciprocal), Closure Property, Rules of Signs in Operations, Combining Like Terms (Algebraic Operations with […]
Unit: Revisiting real numbers Chapter: Classification of Numbers Reference: – Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers, Prime Numbers, Composite Numbers, Even and Odd Numbers, Perfect Squares, Perfect Cubes, Terminating Decimals, Non-Terminating Recurring Decimals, Non-Terminating Non-Recurring Decimals, Number Line Representation After studying this chapter, you should be able to understand: Natural […]
Unit: Revisiting real numbers Chapter: Precision & Accuracy Reference: – Definition of Precision, Definition of Accuracy, Difference Between Precision and Accuracy, Significant Figures (Sig Figs), Rounding Off Numbers, Error in Measurement, Absolute Error, Relative Error, Propagation of Error in Calculations, Estimations and Approximations, Interval Notation for Precision, Truncation vs Rounding, Scientific Notation and Significant Digits […]
Unit: Revisiting real numbers Chapter: Unit Conversions Reference: – Understanding Units of Measurement, SI Units and Their Importance, Conversion Between Metric Units, Conversion Between Imperial and Metric Systems, Dimensional Analysis (Unit Factor Method), Units in Algebraic Expressions, Time Conversions, Speed, Distance, and Time Relationships, Area and Volume Unit Conversions, Unit Rates and Proportions After studying […]
Unit: Revisiting real numbers Chapter: Types of Units Reference: – Natural Numbers and Whole Numbers, Integers and Their Properties, Rational Numbers, Irrational Numbers, Real Numbers – Definition and Classification, Number Line Representation of Real Numbers, Decimal Expansion of Rational and Irrational Numbers, Surds and Their Simplification, Laws of Exponents for Real Numbers, Prime and Composite […]