Math

Algebra 1 [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena. Course Breakdown The real number system Algebraic expressions One-variable linear equations Rates, ratios, and proportions Proportions and percent One-variable linear inequalities Compound inequalities Graphing relationships Introduction to functions Domain and range Course Goals Perform operations with real numbers. Solve one-step and multistep equations using different operations. Solve problems involving rates and proportions. Define percentages and solve simple percent problems. Solve one-step and multistep linear inequalities using different operations. Recognize functions and different aspects of their graphs.

Algebra 1 [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena. Course Breakdown Slope and intercepts of linear equations Scatter plots Systems of equations Exponential expressions Operations with polynomials Introduction to factoring Quadratic functions Linear-quadratic systems Data displays Probability concepts Geometric sequences Exponential functions Radical and rational equations Simple inverse functions Course Goals Interpret the different parts of slope-intercept and point-slope forms of equations. Demonstrate the ability to solve systems using different methods. Simplify polynomials using multiple operations. Apply the different methods of factoring polynomials. Apply different methods of solving quadratic equations based on a given context. Define and use each of the measures of central tendency. Compute various types of probabilities. Solve problems involving radicals using multiple operations.

Algebra 1 [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena. Course Breakdown Structure of expressions Solving linear equations and inequalities in one variable Graphing linear equations Slope and intercepts Scatter plots Systems of equations Systems of inequalities Structures of polynomials Solving quadratic equations Graphing quadratic equations Course Goals Solve one-step and multistep equations using different operations. Solve one-step and multistep linear inequalities using different operations. Interpret different types of graphed lines. Demonstrate the ability to solve systems using different methods. Apply the different methods of factoring polynomials. Investigate rational expressions. Compute various types of probabilities.

Algebra 1 [Honors] (1st semester)

$250.00
Rated 0 out of 5
Course Description Throughout Algebra 1 [Honors], students will study a range of topics that extend beyond the traditional framework of Algebra 1. This course begins with fundamental topics in algebra, including number classification, parts of expressions, linear equations, and proportionality. Students will extend these topics as they learn about the many characteristics and applications of linear functions. The course continues with an exploration of systems of equations and inequalities, the structure of polynomials, and an in-depth examination of quadratic functions. Students wrap up the course by analyzing data and probability concepts, inverses, radical functions, and rational expressions. Course Breakdown Properties of real numbers Expressions and linear equations Ratios and rates Decimals, percentages, and fractions Proportions Linear inequalities Function notation Domain and range Arithmetic sequences Slope and intercept of a line Course Goals Perform operations with real numbers. Solve one-step and multistep equations using different operations. Solve problems involving rates and proportions. Model applications with rates and proportions. Analyze functions and different aspects of their graphs. Interpret the parts of slope-intercept and point-slope forms of equations.

Algebra 1 [Honors] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Throughout Algebra 1 [Honors], students will study a range of topics that extend beyond the traditional framework of Algebra 1. This course begins with fundamental topics in algebra, including number classification, parts of expressions, linear equations, and proportionality. Students will extend these topics as they learn about the many characteristics and applications of linear functions. The course continues with an exploration of systems of equations and inequalities, the structure of polynomials, and an in-depth examination of quadratic functions. Students wrap up the course by analyzing data and probability concepts, inverses, radical functions, and rational expressions. Course Breakdown Systems of equations and inequalities Exponent rules Polynomial operations Factoring polynomials Quadratic function characteristics Nonlinear systems Data displays Probability Exponential functions Radical and cubic functions Inverse functions Rational expressions and functions Course Goals Demonstrate the ability to solve systems of equations using a variety of methods. Simplify polynomials using different operations. Apply the different methods of factoring polynomials. Choose an appropriate method for solving a quadratic equation. Explore the measures of central tendency. Compute various forms of probabilities. Solve problems involving rational expressions by using different operations.

Algebra 1 [Project Based] (1st semester)

$250.00
Rated 0 out of 5

Course Description

What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena.

Algebra 1 [Project Based] (2nd semester)

$250.00
Rated 0 out of 5

Course Description

What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena.

Course Breakdown

  • Systems of equations and inequalities
  • Scientific notation
  • Properties of exponents
  • Operations with polynomials
  • Factoring
  • Characteristics of quadratic functions Modeling with quadratic functions
  • Data displays
  • Measures of central tendency
  • Experimental and theoretical probability
  • Geometric sequences
  • Simple exponential functions
  • Radical equations

Course Goals

  1. Demonstrate the ability to solve systems of equations using a variety of methods.
  2. Simplify polynomials using multiple operations.
  3. Use knowledge of polynomials and scientific notation to interpret and analyze waste.
  4. Apply the different methods of factoring polynomials. Apply different methods of solving quadratic equations based on a given context.
  5. Define and use each of the measures of central tendency.
  6. Compute various types of probabilities.
  7. Utilize knowledge of measures of central tendency to analyze epidemics.
  8. Solve problems involving radicals by using multiple operations.

Algebra 2 [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one Course Breakdown Linear equations and inequalities Relations and functions Characteristics of linear functions Systems of equations and inequalities Quadratic functions and their graphs Complex numbers Quadratic inequalities Polynomial operations Fundamental Theorem of Algebra Radical and rational functions Course Goals Gain an understanding of linear equations and inequalities. Demonstrate the ability to model and solve applications with systems of equations. Interpret and construct quadratic functions. Recognize that quadratics may have real and complex solutions. Represent algebraic expressions in multiple ways. Model real-world problems with rational functions.

Algebra 2 [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one Course Breakdown Rational functions Exponential and logarithmic relationships Piecewise, absolute value, and step functions Inverse and composition functions Conic sections Sequences and series The unit circle Trigonometric functions Graphs of sine and cosine Harmonic motion Mutually exclusive events Binomial Theorem Course Goals Compare and contrast exponential and logarithmic functions. Reveal information and find solutions of polynomial functions. Solve problems using conic sections. Apply the unit circle to a variety of problems. Interpret and construct the graphs of trigonometric functions. Distinguish between geometric, theoretical, and experimental probability. Gain an understanding of normally distributed data.

Algebra 2 [Credit Recovery]

$250.00
Rated 0 out of 5
Course Description Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one Course Breakdown Graphing linear functions Characteristics of linear functions Systems of equations Linear programming Matrices Graphing and transforming quadratic equations Complex numbers and solutions Inverse functions Exponential and logarithmic functions Permutations and combinations Probability Normal distribution Course Goals Solve quadratic equations with complex solutions. Reveal features of polynomials by factoring. Solve systems of equations using a variety of methods. Use the properties of exponents to simplify expressions. Analyze the unit circle and its relationship to trigonometric functions. Use characteristics of normal distributions to solve problems.

Algebra 2 [Honors] (1st semester)

$250.00
Rated 0 out of 5
Course Description Algebra 2 [Honors] allows students to discover how the skills they learned in Algebra 1 further apply to a variety of topics. Students begin the course with a review of linear equations and inequalities in one and two variables. They apply their knowledge of systems of equations to work with more advanced systems of three equations. Systems of equations are applied to matrices as students calculate determinants and display data in matrices of various sizes. A deeper dive into polynomials and quadratics involves factoring, performing operations, complex solutions, and comparing and contrasting graphs. Students explore additional characteristics and types of functions including inverse, exponential, logarithmic, and rational functions. Students graph and create equations for conic sections. After students apply their knowledge of functions to sequences and series, they are introduced to trigonometric topics including the unit circle, laws of sines and cosines, graphs of periodic functions, and methods of solving trigonometric equations. Statistics and probability are covered as students solve problems involving mutually exclusive and inclusive events, find measures of central tendency and variation, and recognize normally distributed data. Course Breakdown Graphs of linear functions Systems of equations Properties of matrices Graphs of quadratic functions Quadratic equations Complex numbers Polynomials and factoring Radical and root functions Rational equations and functions Course Goals Explore characteristics of linear functions and their graphs. Solve applications using matrices and systems of equations. Analyze quadratic functions and reveal key features of their graphs. Solve quadratic equations using a variety of methods. Perform and apply calculations using imaginary and complex numbers. Investigate radical and rational functions and their characteristics.

Algebra 2 [Honors] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Algebra 2 [Honors] allows students to discover how the skills they learned in Algebra 1 further apply to a variety of topics. Students begin the course with a review of linear equations and inequalities in one and two variables. They apply their knowledge of systems of equations to work with more advanced systems of three equations. Systems of equations are applied to matrices as students calculate determinants and display data in matrices of various sizes. A deeper dive into polynomials and quadratics involves factoring, performing operations, complex solutions, and comparing and contrasting graphs. Students explore additional characteristics and types of functions including inverse, exponential, logarithmic, and rational functions. Students graph and create equations for conic sections. After students apply their knowledge of functions to sequences and series, they are introduced to trigonometric topics including the unit circle, laws of sines and cosines, graphs of periodic functions, and methods of solving trigonometric equations. Statistics and probability are covered as students solve problems involving mutually exclusive and inclusive events, find measures of central tendency and variation, and recognize normally distributed data. Course Breakdown Exponential and logarithmic functions Transforming polynomials Operations with functions Inverse functions Conic sections Sequences and series The unit circle Trigonometric functions Trigonometric identities and formulas Normally distributed data Course Goals Analyze, evaluate, and graph rational functions. Model real-world scenarios with exponential and logarithmic functions. Find the inverse of a function graphically and algebraically. Explore the relationships between linear and exponential functions and arithmetic and geometric sequences. Analyze the unit circle and its relationship to trigonometric functions. Use characteristics of normal distributions to solve problems.

Algebra 2 [Project Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one Wellness Plan [Mastery Project] HOW CAN MATH HELP YOU UNDERSTAND THE INTRICACIES OF HEALTH? According the CDC and the US Department of Agriculture (USDA), 92% of US population has a vitamin deficiency1. In response to this statistic, the USDA is starting an educational campaign to educate teens about healthy lifestyles. In order to apply to be a teen ambassador for this program, you will analyze your eating habits and see how your eating compares to national RDIs. Based on your analysis, you will create a personalized wellness plan that focuses on improving one meal of the day, and increasing one type of physical activity in your day. Your analysis should serve as a case study to inform yourself and your peers of healthy lifestyles. Your final project should take the form of a report. Acceleration Study [Mastery Project] HOW DOES MATHEMATICS GUIDE OUR UNDERSTANDING OF MOVEMENT? Each year, your local county fair holds an egg-launching contest as part of their summer games. The goal is to create a device that will launch an egg the farthest distance. This year, you have been asked to judge the contest and provide live commentary of the day’s events. In addition, you have submitted your own design for consideration and are excited to analyze the results of your own launches. To complete this project, you will be completing a podcast or video with the day’s commentary, as well as a full analysis of your own launch. Course Breakdown Linear equations and inequalities Relations and functions Characteristics of linear functions Systems of equations and inequalities Quadratic functions and their graphs Complex numbers Quadratic inequalities Polynomial operations Fundamental Theorem of Algebra Radical and rational functions Course Goals Gain an understanding of linear equations and inequalities. Demonstrate the ability to model and solve applications with systems of equations. Interpret and construct quadratic functions. Recognize that quadratics may have real and complex solutions. Represent algebraic expressions in multiple ways. Model real-world problems with rational functions.

Algebra 2 [Project Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Extending their knowledge of linear, exponential, and quadratic functions to polynomial, rational, and radical functions, students in Algebra 2 model situations and solve equations, discovering how the rules they learned in arithmetic continue to apply as they work with polynomials. Students focus on the properties and factors of polynomials, learning to find the zeros of a polynomial and graph it as a function. Students use complex numbers to solve quadratic equations and exponential expressions, and learn how to rewrite rational expressions in different forms and solve simple rational and radical equations. The trigonometric concepts students learned previously are expanded as they focus on the unit circle and apply these concepts to models of periodic phenomena. Students then extend their knowledge of function families to model functions defined as square roots or cube roots, as well as piecewise-defined functions. A detailed look at exponential and logarithmic functions is applied to showing intercepts and end behavior. Students collect data through sample surveys, experiments, and simulations, and learn about the role of randomness in this process. Quantitative reasoning is emphasized as students compare the differences between sample surveys, experiments, and observations, and explain how randomization relates to each one Population Comparision [Mastery Project] HOW CAN YOU USE MATHEMATICS TO CATEGORIZE AND IDENTIFY POPULATIONS? The US Department of Agriculture (USDA) is getting serious about managing invasive species, and is calling on citizen scientists to help them track numbers of specific organisms that are throwing ecosystems off balance. You work for a local nature center, and are in charge of creating an educational field guide that will help visitors identify and report species proliferating in your area. To create the field guide, you must select a species, research its population, and compare its numbers to a native species. To learn more, see the Action Project Rubric. Game Play [Mastery Project] HOW DOES PLAY ENRICH OUR LIVES? You are a game tester, and you’ve been tasked with creating an exciting new twist on a classic game for a new generation of players. You have selected your first game and gone through multiple rounds of playtesting it to make improvements. For your final project, you will create your own game using information you gained from looking at classic games. This portfolio will show off the successful elements of the game and recommend strategies players can use to be successful. Your project should take the form of a product pitch slide show and include a demonstration of the mathematical probabilities involved in your game. Course Breakdown Characteristics of rational functions Exponential and logarithmic functions Transformations of functions Inverse functions Conic sections Systems of nonlinear equations Arithmetic and geometric sequences Introduction to trigonometry Foundations of probability The normal distribution Course Goals Compare and contrast exponential and logarithmic functions. Use exponential and logarithmic functions to categorize and identify populations, then create a field guide to compare and contrast two different growth models. Find the inverse of a function graphically and algebraically. Explore the relationships between linear and exponential functions and arithmetic and geometric sequences. Analyze the unit circle and its relationship to trigonometric functions. Distinguish between mutually exclusive and inclusive events, as well as independent and dependent events. Create a game and analyze its success, playability, and strategy.

Calculus [Competency Based] (1st semester)

$250.00
Rated 0 out of 5
Course Description Students examine the foundational components of limits, derivatives, integrals, and series and apply this knowledge to real-world situations. Derivatives are used to find slopes of lines tangent to curves at specified points. Students learn specific rules of differentiation and explore real-world applications, including related rates and optimization. Students explore the graphs of functions and their first and second derivatives to reveal the functions’ characteristics. Functions increase in complexity to include logarithmic and exponential components. Integrals are explored as various methods of finding the area under a curve are examined and applied, and each method is supported graphically. Integration is used to revolve solids about an axis. At the conclusion of the course, students learn about series, including Taylor and Maclaurin series, as well as how to prove convergence or divergence using integral and p-series tests. Course Breakdown Limits Tangent and normal lines Continuity Derivative rules and notation Derivative applications Chain rule Derivatives of inverse functions Graphs and derivatives Optimization Related rates Course Goals Interpret limits, continuity, and discontinuity given an equation or graph. Apply rules of differentiation to find the derivative of a function. Explain the connection between the derivative and identifying the velocity, acceleration, and jerk. Apply the rules of differentiation to inverse functions. Identify how the rate of change of a function affects the rate of change of individual components. Utilize the derivative to identify key elements of graphs.

Calculus [Competency Based] (2nd semester)

$250.00
Rated 0 out of 5
Course Description Students examine the foundational components of limits, derivatives, integrals, and series and apply this knowledge to real-world situations. Derivatives are used to find slopes of lines tangent to curves at specified points. Students learn specific rules of differentiation and explore real-world applications, including related rates and optimization. Students explore the graphs of functions and their first and second derivatives to reveal the functions’ characteristics. Functions increase in complexity to include logarithmic and exponential components. Integrals are explored as various methods of finding the area under a curve are examined and applied, and each method is supported graphically. Integration is used to revolve solids about an axis. At the conclusion of the course, students learn about series, including Taylor and Maclaurin series, as well as how to prove convergence or divergence using integral and p-series tests. Course Breakdown Riemann sums Integrals Fundamental theorem of calculus Slope fields Integration applications Areas between curves Volumes of rotating solids L’Hopital’s rule Polar equations and graphs Taylor and Maclaurin series Convergence tests Course Goals Apply the rules of integration to find the area under a variety of functions. Solve real-world problems that use exponential change. Identify when to utilize integration by parts using substitution. Apply integration to find the area between functions. Identify the volume under a rotated function. Explain how to construct series.