Algebra II – Credit Recovery
Course details
Duration
10 weeks or less
Lectures
83
Video
During Intros
Level
Intermediate
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Our Algebra II online high school course introduces students to advanced functions, with a focus on developing a strong conceptual grasp of the expressions that define those functions. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.
Course topics include quadratic equations and functions; polynomial functions; rational expressions and functions; radical expressions and functions; exponential and logarithmic functions; trigonometric functions; modeling with functions; probability and inferential statistics; probability distributions; and sampling distributions and confidence intervals.
This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.
This course is built to state standards.
Unit 1: Expressions, Equations and Inequalities
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Lesson 1: Algebraic Expressions- Study - Algebraic Expressions: Identify the parts of numerical and algebraic expressions including terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Algebraic Expressions: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Solving Linear Equations
- Study - Solving Linear Equations: In this lesson, you will solve linear equations in various forms by applying the properties of equality and using inverse operations.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Linear Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Solving Absolute Value Equations
- Study - Solving Absolute Value Equations: In this lesson, you will solve one-variable absolute value equations in various forms by applying the properties of equality and using inverse operations.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Absolute Value Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Solving Inequalities
- Study - Solving Inequalities: In this lesson you will solve one-variable linear and absolute value inequalities in various forms by using inverse operations, writing compound inequalities, and graphing.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Inequalities: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Solving Inequalities: Use a number line to represent the possible answers that exist for a given problem.
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Lesson 5: Literal Equations and Formulas
- Study - Literal Equations and Formulas: In this lesson you will rewrite literal equations and formulas in various forms to solve for a quantity of interest and use them to solve real-world problems.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Literal Equations and Formulas: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Expressions, Equations, and Inequalities Wrap-Up
- Review - Expressions, Equations, and Inequalities: Check your understanding of the unit.
- Test (CS) - Expressions, Equations, and Inequalities: Take a computer-scored test to check what you have learned in this unit.
Unit 2: Functions and Relations
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Lesson 1: Functions
- Study - Functions Learn the definition of a function, and understand and identify the domain and range. Explore absolute value and square root functions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Graphing Functions
- Study - Graphing Functions: Become familiar with graphs of the linear, quadratic, reciprocal, square root, cube root, and absolute value parent functions. Explore piecewise functions, including step functions, and their applications.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphing Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Transforming Functions
- Study - Transforming Functions: Learn about transformations of parent functions, including vertical and horizontal compressions and stretches and vertical and horizontal shifts. Understand how constants in the equation of a function are connected to these transformations.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Transforming Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Combining Functions
- Study - Combining Functions: Add, subtract, multiply, and divide functions. Apply function operations in real-world settings.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Combining Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Inverse Functions
- Study - Inverse Functions: Find inverses of functions. Understand the relationship between the domain and range of a function and its inverse. Understand one-to-one functions, and how to use the horizontal line test to see whether a function has an inverse function.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Inverse Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Functions and Relations Wrap-Up
- Review - Functions and Relations: Check your understanding of the unit.
- Test (CS) - Functions and Relations: Take a computer-scored test to check what you have learned in this unit.
Unit 3: Quadratic Functions
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Lesson 1: Factoring X2 + BX + C
- Study - Factoring x2 + bx + c : Learn about factoring quadratic trinomials with leading coefficients of 1; rules for finding the constant term and coefficient of the x-term; using a table to factor trinomials; and diagramming signs while factoring trinomials.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Binomial Factors of Trinomials: Take a quiz to check your understanding of what you have learned.
- Quiz - Factoring Trinomials: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Factoring AX2 + BX + C
- Study - Factoring ax2 + bx + c : Learn about factoring trinomials with leading coefficients other than 1; factoring out a leading coefficient of -1; how values of factors relate to values of a trinomial; finding factor pairs of leading coefficients and constant terms; and finding signs in factors of trinomials with leading coefficients other than 1.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Factoring Trinomials (Basic): Take a quiz to check your understanding of what you have learned.
- Quiz - Factoring Trinomials (Advanced): Take a quiz to check your understanding of what you have learned.
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Lesson 3: Special Cases
- Study - Special Cases: Identify and factor differences of squares and perfect-square trinomials.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Factoring a Difference of Squares: Take a quiz to check your understanding of what you have learned.
- Quiz - Factoring Perfect Square Trinomials: Take a quiz to check your understanding of what you have learned.
- Quiz - Sum or Difference of T wo Cubes: Take a quiz to check your understanding of what you have learned.
- Journal - Breakdown Ahead: Explain your understanding of factoring to help a peer solve a problem.
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Lesson 4: Solving Quadratic Equations
- Study - Solving Quadratic Equations: Learn about solving quadratic equations using factoring and the zero product rule, manipulating a quadratic equation into standard form, and solving quadratic equations with perfect-square trinomials.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Factoring with the Zero Product Rule: Take a quiz to check your understanding of what you have learned.
- Quiz - Converting Quadratics to Standard Form: Take a quiz to check your understanding of what you have learned.
- Quiz - Quadratics with Perfect Square Trinomials: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Completing the Square
- Study - Completing the Square: Learn the "completing the square" method of solving quadratic equations. Practice adding a strategic number to both sides of an equation to make one side a perfect-square trinomial. Then solve the equation by taking the square root of both sides and simplifying. Use algebra tiles to determine the number needed to complete the square.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Completing the Square: Take a quiz to check your understanding of what you have learned.
- Quiz - Completing the Square (Advanced): Take a quiz to check your understanding of what you have learned.
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Lesson 6: The Quadratic Formula
- Study - The Quadratic Formula: Learn about types of equations that can be solved with the quadratic formula; complex numbers; discriminants; and finding roots (including complex roots) using the quadratic formula.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Complex Numbers and Discriminants: Take a quiz to check your understanding of what you have learned.
- Quiz - The Quadratic Formula: Take a quiz to check your understanding of what you have learned.
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Lesson 7: Graphs of Quadratic Functions
- Study - Graphs of Quadratic Functions: Relate factors of a quadratic function to the graph of a parabola and its corresponding x-intercepts. Locate the vertex of a quadratic function graphically and algebraically. Use the discriminant of the quadratic formula to identify the number and types of solutions to a given quadratic equation, as well as to visualize its corresponding graph.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphs of Quadratic Functions: Take a quiz to check your understanding of what you have learned.
- Quiz - Working with the Discriminant: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Pumpkin Launch: Model a graph with real world data.
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Lesson 8: Imaginary Numbers
- Study - Imaginary Numbers: Learn about imaginary and complex numbers, perform basic arithmetic operations on complex numbers, and solve equations with imaginary and complex numbers.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Imaginary Numbers: Take a quiz to check your understanding of what you have learned.
- Quiz - Operations on Complex Numbers: Take a quiz to check your understanding of what you have learned.
- Quiz - Quadratics with Complex Solutions: Take a quiz to check your understanding of what you have learned.
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Lesson 9: Quadratic Functions Wrap-Up
- Review - Quadratic Functions: Check your understanding of the unit.
- Test (CS) - Quadratic Functions: Take a computer-scored test to check what you have learned in this unit.
Unit 4: Systems of Equations and Inequalities
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Lesson 1: Linear Systems of Equations
- Study - Linear Systems of Equations: Find the point of intersection of linear systems using algebra, graphing, and matrices.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Linear Systems of Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Nonlinear Systems of Equations
- Study - Nonlinear Systems of Equations: Learn about solution sets for nonlinear systems of equations, solving nonlinear systems of equations using the substitution method, choosing which variable to isolate, substituting a squared variable, and determining the number of solutions. Explore a human-cannonball case study.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Nonlinear Systems of Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Linear Systems of Inequalities
- Study - Linear Systems of Inequalities: Use graphing to solve two-variable systems of linear inequalities. Use what you know about solving systems of inequalities to solve a real-world problem where there are constraints (limitations) that restrict your options.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Linear Systems of Inequalities: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Two-Variable Systems of Inequalities: Model and solve a real-world problem.
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Lesson 4: Systems of Equations and Inequalities Wrap-Up
- Review - Systems of Equations and Inequalities: Check your understanding of the unit.
- Test (CS) - Systems of Equations and Inequalities: Take a computer-scored test to check what you have learned in this unit.
Unit 5: Polynomial Functions
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Lesson 1: Polynomial Basics
- Study - Polynomial Basics: Learn that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Polynomial Basics: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Multiplying Polynomials: Use tiles to model the multiplication of binomials and solve a real-world problem.
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Lesson 2: Polynomial Functions
- Study - Polynomial Functions: Learn to identify, classify, evaluate, and graph polynomial functions and expressions. Practice writing polynomials in descending order, as well as using the degree of a given polynomial function to predict the general shape of its graph.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Polynomial Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Synthetic Division
- Study - Synthetic Division: Learn two methods for dividing polynomials — long division and synthetic division. Use synthetic division to expedite the process of finding factors and roots of polynomial expressions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Synthetic Division: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Factoring Polynomials Completely
- Study - Factoring Polynomials Completely: Learn about the remainder-factor theorem, rational-roots theorem, complex-conjugate theorem, and conjugate-radical theorem. Learn to use synthetic division to factor higher-order polynomials.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Remainder and Factor Theorems: Take a quiz to check your understanding of what you have learned.
- Quiz - Factoring Polynomials Completely: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Solving Polynomial Equations
- Study - Solving Polynomial Equations: Find all solutions to polynomial equations.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Polynomial Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Graphing Polynomial Functions
- Study - Graphing Polynomial Functions: Learn to graph polynomial functions, identify zeros and write a polynomial function from its zeros.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphing Polynomial Functions: Take a quiz to check your understanding of what you have learned.
- Journal - Designing a Mountain Landscape: Discuss with a peer the process for using binomials to design a curved mountain landscape.
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Lesson 7: Polynomial Identities
- Study - Polynomial Identities: Prove polynomial identities and use them to describe numerical relationships.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Polynomial Identities: Take a quiz to check your understanding of what you have learned.
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Lesson 8: Binomial Theorem
- Study - Binomial Theorem: Learn and apply the binomial theorem.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Binomial Theorem: Take a quiz to check your understanding of what you have learned.
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Lesson 9: Transformations of Polynomial Functions
- Study - Transformations of Polynomial Functions: Transform polynomial functions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Transformations of Polynomial Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 10: Polynomial Functions Wrap-Up
- Review - Polynomial Functions: Check your understanding of the unit.
- Test (CS) - Polynomial Functions: Take a computer-scored test to check what you have learned in this unit.
Unit 7: Rational Expressions and Functions
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Lesson 1: Proportions
- Study - Proportions: Learn the definition of a rational expression and about using proportional reasoning to solve problems. Explore real-world examples of proportional reasoning.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Proportions: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Rational Expressions
- Study - Rational Expressions: Learn about finding the value of a rational expression and about undefined rational expressions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Rational Expressions: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Simplifying Rational Expressions
- Study - Simplifying Rational Expressions: Practice finding and dividing out common factors in numerators and denominators of rational expressions. Explore the crucial difference between common factors and terms.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Simplifying Rational Expressions: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Multiplying and Dividing Rational Expressions
- Study - Multiplying and Dividing Rational Expressions: Review multiplying and dividing numerical fractions, multiplying rational expressions, dividing rational expressions, and simplifying the results.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Multiplying Rational Expressions: Take a quiz to check your understanding of what you have learned.
- Quiz - Dividing Rational Expressions: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Adding and Subtract Ing Rational Expressions
- Study - Adding and Subtracting Rational Expressions: Review adding and subtracting numerical fractions, adding and subtracting rational expressions with like denominators, finding least common denominators, finding multiples of rational expressions, and adding and subtracting rational expressions with unlike denominators.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Adding and Subtracting Rational Expressions: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Inverse Variation
- Study - Inverse Variation: Review direct variation and how increasing input leads to proportionally increasing output. Review inverse variation and how increasing input leads to proportionally decreasing output. Review finding the constant of variation.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Inverse Variation: Take a quiz to check your understanding of what you have learned.
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Lesson 7: Writing Rational Functions
- Study - Writing Rational Functions: Learn the definition of a rational function and how to find the domain of a given function. Explore the horizontal and vertical asymptotes of rational functions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Writing Rational Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 8: Solving Rational Equations
- Study - Solving Rational Equations: Learn how to identify domain restrictions, determine the least common denominator, and identify extraneous solutions to rational equations.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Rational Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 9: Vertical Asymptotes
- Study - Vertical Asymptotes: Learn about graphs of rational functions, about finding vertical asymptotes, and about graphing rational functions with more than one vertical asymptote.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Finding Vertical Asymptotes: Take a quiz to check your understanding of what you have learned.
- Quiz - More Than One Vertical Asymptote: Take a quiz to check your understanding of what you have learned.
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Lesson 10: Graphing Rational Functions
- Study - Graphing Rational Functions: Learn about graphing rational functions with variables in the numerator, constructing a sign chart, and picking test numbers. Learn about rational functions with a singular point.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphing Rational Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 11: Rational Expressions and Functions Wrap-Up
- Review - Rational Expressions and Functions: Check your understanding of the unit.
- Test (CS) - Rational Expressions and Functions: Take a computer-scored test to check what you have learned in this unit.
Unit 8: Radical Expressions and Functions
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Lesson 1: Basics of Radicals
- Study - Basics of Radicals: Learn the definition of radical expression. Explore simplifying the product and quotient of radicals and simplifying individual radicals.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Simplifying Products of Radicals: Take a quiz to check your understanding of what you have learned.
- Quiz - Simplifying Quotients of Radicals: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Multiplying and Dividing Radicals
- Study - Multiplying and Dividing Radicals: Learn about multiplying and dividing radical expressions that include variables and about using the FOIL (first inner outer last) method to simplify radical expressions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Multiplying Radicals: Take a quiz to check your understanding of what you have learned.
- Quiz - Dividing Radicals: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Adding and Subtracting Radicals
- Study - Adding and Subtracting Radicals: Learn about adding and subtracting radical expressions by combining like terms and about simplifying terms to get the same radicand.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Adding and Subtracting Radicals: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Rationalizing Denominators
- Study - Rationalizing Denominators: Learn about rationalizing a denominator in order to simplify a fraction with a radical expression in the denominator. Learn about multiplying by the conjugate of a denominator.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Rationalizing Denominators: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Solving Radical Equations
- Study - Solving Radical Equations: Learn how to solve equations with radical expressions by isolating the radical and squaring both sides.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Radical Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Applications of Radical Equations
- Study - Applications of Radical Equations: Explore case studies in order to practice methods of solving radical equations in applied settings.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Applications of Radical Equations: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Pendulums and Bridges: Create an equation to model pendulums and bridges.
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Lesson 7: Rational Exponents
- Study - Rational Exponents: Learn about fractional exponents and nth roots, odd and even indices of radicals, the method of notation for writing an nth root, the use of fractional exponents, and exponential expressions with decimal powers.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Fractional Exponents — Part 1: Take a quiz to check your understanding of what you have learned.
- Quiz - Fractional Exponents — Part 2: Take a quiz to check your understanding of what you have learned.
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Lesson 8: Review of Complex Numbers
- Study - Review of Complex Numbers: Learn about square roots of negative numbers; imaginary units; parts of a complex number; adding and subtracting complex numbers by collecting like terms and simplifying; multiplying two complex numbers using the FOIL method; and dividing complex numbers using complex conjugates.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Adding and Subtracting Complex Numbers: Take a quiz to check your understanding of what you have learned.
- Quiz - Multiplying and Dividing Complex Numbers: Take a quiz to check your understanding of what you have learned.
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Lesson 9: Performance Task: The Skid Distance Problem
- Study - The Skid Distance Problem: Learn how the length of skid marks left by a vehicle is an application of square root functions. Use the skid distance equation to solve for drag factor of various road surfaces, as well as skid mark lengths and original speed of a variety of vehicles.
- Project - Solving the Skid-Distance Problem: Assume the role of investigator and take on a skid distance problem.
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Lesson 10: Radical Expressions and Functions Wrap-Up
- Review - Radical Expressions and Functions: Check your understanding of the unit.
- Test (CS) - Radical Expressions and Functions: Take a computer-scored test to check what you have learned in this unit.
Unit 9: Exponential and Logarithmic Functions
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Lesson 1: Geometric Sequences
- Study - Geometric Sequences: Learn about geometric sequences and series.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Geometric Sequences: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Exponential Functions
- Study - Exponential Functions: Define the standard form of an exponential function and explore a variety of its applications, such as exponential growth and decay (in the forms of doubling time and half-life), as well as compound interest. Compare compound interest to continuously compounded interest using the irrational number e.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Evaluating Exponential Functions: Take a quiz to check your understanding of what you have learned.
- Quiz - Calculating Exponential Growth: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Examples and Applications of Exponential Functions
- Study - Examples and Applications of Exponential Functions: Explore case studies in exponential growth and decay and logarithmic growth.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
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Lesson 4: Graphs of Exponential Functions
- Study - Graphs of Exponential Functions: Learn about the shape of graphs of exponential functions with various bases and about finding the domain and range of exponential functions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphs of Exponential Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Logarithmic Functions
- Study - Logarithmic Functions: Learn about undoing exponential functions, graphing the inverse of an exponential or logarithmic function, and using the common and natural logarithm.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Logarithmic Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Graphs of Logarithmic Functions
- Study - Graphs of Logarithmic Functions: Learn about the shape of graphs of logarithmic functions with various bases and about the domain and range of logarithmic functions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphs of Logarithmic Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 7: Properties of Exponents and Logarithms
- Study - Properties of Exponents and Logarithms: Learn about product, quotient, and power laws of exponents; rewriting the log of a product as the sum of two logs; rewriting the log of a quotient as the difference of two logs; simplifying the log of a power; and using the change-of base formula to rewrite logarithms.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Equivalent Exponential Expressions: Take a quiz to check your understanding of what you have learned.
- Quiz - Equivalent Logarithmic Expressions: Take a quiz to check your understanding of what you have learned.
- Quiz - Evaluating Logarithms: Take a quiz to check your understanding of what you have learned.
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Lesson 8: Solving Exponential Equations
- Study - Solving Exponential Equations: Learn about using ordinary algebra and the properties of logarithms to solve exponential equations. Answer questions inspired by the classic chessboard problem.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Exponential Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 9: Solving Logarithmic Equations
- Study - Solving Logarithmic Equations: Learn about using ordinary algebra and the definition of a logarithm to solve logarithmic equations. Answer questions about energy in earthquakes.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Solving Logarithmic Equations: Take a quiz to check your understanding of what you have learned.
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Lesson 10: Applications of Logarithms
- Study - Applications of Logarithms: Solve application problems involving exponential and logarithmic expressions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Applications of Logarithms: Take a quiz to check your understanding of what you have learned.
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Lesson 11: Comparing and Analyzing Function Types
- Study - Comparing and Analyzing Function Types: Apply transformations to a variety of function families.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Comparing and Analyzing Function Types: Take a quiz to check your understanding of what you have learned.
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Lesson 12: Exponential and Logarithmic Functions Wrap-Up
- Review - Exponential and Logarithmic Functions: Check your understanding of the unit.
- Test (CS) - Exponential and Logarithmic Functions: Take a computer-scored test to check what you have learned in this unit.
Unit 10: Statistical Analysis
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Lesson 1: Using Data to Make Inferences
- Study - Using Data to Make Inferences: This lesson introduces the process for making inferences based on statistics. Students will learn how to use data to estimate population means and proportions, and understand the differences among sample surveys, experiments, and observational studies. Students will also evaluate reports based on data.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Using Data to Make Inferences: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Using Probability to Make Decisions
- Study - Using Probability to Make Decisions: This lesson introduces basic probability concepts. Students will use probability to analyze strategies and to make fair decisions.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Using Probability to Make Decisions: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Simulation and Modeling with Data
- Study - Simulation and Modeling with Data: This lesson shows students how to model (simulate) events using probability. Students will use tools such as random numbers and coin tosses in designing a simulation, and calculate estimated probabilities using the simulation results. points
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Simulation and Modeling with Data: Take a quiz to check your understanding of what you have learned.
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Lesson 4: The Normal Distribution
- Study - The Normal Distribution: Student will use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - The Normal Distribution: Take a quiz to check your understanding of what you have learned.
- Journal - Cell Phone Battery Life: Evaluate the design and results of an experiment with a peer.
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Lesson 5: Margin of Error and Confidence Intervals
- Study - Margin of Error and Confidence Intervals: Students will learn how to use sample data to calculate and interpret a margin of error and confidence interval for a population mean or proportion.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Margin of Error and Confidence Intervals: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Statistical Analysis Wrap-Up
- Review - Statistical Analysis: Check your understanding of the unit.
- Test (CS) - Statistical Analysis: Take a computer-scored test to check what you have learned in this unit.
Unit 11: Trigonometry
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Lesson 1: Right Triangle Trigonometry
- Study - Right Triangle Trigonometry: This lesson will show you how to find trigonometric ratios (sine, cosine, and tangent) of angles in a right triangle and to use these to find the side lengths and angles. The lesson includes solving real-world problems using right triangle trigonometry.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Right Triangle Trigonometry: Take a quiz to check your understanding of what you have learned.
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Lesson 2: Angles and Radians
- Study - Angles and Radians: This lesson introduces students to radian measures of angles. They will identify various types of angles and convert their measures between degrees and radians. Students will also learn about negative and coterminal angles.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Angles and Radians: Take a quiz to check your understanding of what you have learned.
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Lesson 3: Trigonometric Ratios and The Unit Circle
- Study - Trigonometric Ratios and the Unit Circle: In this lesson, students find trigonometric ratios for angles of special right triangles in the unit circle. By placing right triangles in quadrant I of the unit circle and identifying their side lengths, students can define these trigonometric ratios as well as the terminal point of the angle. Students also identify terminal points and angles for the other quadrants using the quadrant I angles as reference angles.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Trigonometric Ratios and the Unit Circle: Take a quiz to check your understanding of what you have learned.
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Lesson 4: Trigonometric Ratios for Any Angle
- Study - Trigonometric Ratios for Any Angle: In this lesson, students will apply what they learned in the previous lessons to find trigonometric ratios for any angle. Students will find the exact value of sine, cosine, or tangent of an angle using a reference angle, and will use the Pythagorean identity to find the values of trigonometric ratios.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Trigonometric Ratios for Any Angle: Take a quiz to check your understanding of what you have learned.
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Lesson 5: Graphs of Trigonometric Functions
- Study - Graphs of Trigonometric Functions: Students will graph each of the six trigonometric functions and identify the key characteristics of each parent function. The reciprocal functions are introduced in this lesson.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Graphs of Trigonometric Functions: Take a quiz to check your understanding of what you have learned.
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Lesson 6: Transformations of Sinusoids
- Study - Transformations of Sinusoids: This lesson covers transformations of the sine and cosine parent functions. Students will identify the effect of adding constants to the equations and graph the new functions. Students will also write and interpret real-world applications of sinusoids.
- Checkup - Practice Problems: Complete a set of practice problems to check your understanding of the lesson.
- Quiz - Transformations of Sinusoids: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Riding the Circular Wave: Model real world data using a periodic function.
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Lesson 7: Trigonometry Wrap-Up
- Review - Trigonometry: Check your understanding of the unit.
- Test (CS) - Trigonometry: Take a computer-scored test to check what you have learned in this unit.
Unit 12: Semester 2 Review and Exam
When will this course begin?
Processing time is 1-2 business days. Courses begin each week on Mondays, except for holidays.
Will this class give high school credit?
Yes! Our high school courses are accredited.
Is this course recognized by universities?
Yes! The transcript you receive will come from a fully accredited online school.
Will this class end up on my high school transcript?
Yes, it can! You will need to speak with your academic counselor to get an outside approval request. We will work with you and your school to make sure your high school recognizes our accredited course for placement on your high school transcript.
What if my high school doesn’t give outside credit approval but I still want to take courses that my school doesn’t have to stand out?
No problem! You can still self-report to universities that you took this high school credit course and shine like the shining star that you are.
Will I get support from a live teacher?
Yes! This course comes with support from a certified, experienced teacher available for personalized feedback and assistance Monday-Friday via email and Zoom.
How long does it take to have coursework graded and returned?
Teachers return assignments graded with personalized feedback within 3 business days.
How long will I have to complete this course?
A semester course is scheduled for 9 weeks of access in the summer (May – July) and 18 weeks during the school year (August – April). When you purchase semester 1 and semester 2 courses together, the course is scheduled for 18 weeks in the summer term and 36 weeks during the school year. Students are always welcome to work ahead or add additional time to summer courses (up to 18 weeks for a semester or 36 weeks when semester 1 and semester 2 are purchased together).
Can I finish this course early?
You can complete this course at your pace; so if you get through the coursework quickly, then you can finish early.
What if I need more time to complete this course?
All of our courses are available year-round, and the course content is the same for summer school. Our summer school course duration is set to 9 weeks for semester courses and 18 weeks when semester 1 and semester 2 are purchased together; however, this duration can be extended several weeks upon request.
How can I order my transcript?
All transcripts are available through Parchment, the industry leader in education credentials technology. Parchment is used widely by high schools, colleges, and other academic institutions such as the NCAA. It is a secure service for sending credentials. Transcripts take 1 to 2 business days to process, and you can check online to view the progress of the transaction.
You can use Parchment to order transcripts for multiple institutions at once (including the NCAA). You will automatically receive an unofficial copy for your personal records, and you can track your official transcript. Each Parchment electronic (emailed) transcript costs $5.40, and hard copies sent by mail cost $7.90.
You can use Parchment to order transcripts for multiple institutions at once (including the NCAA). You will automatically receive an unofficial copy for your personal records, and you can track your official transcript. Each Parchment electronic (emailed) transcript costs $5.40, and hard copies sent by mail cost $7.90.
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