At Odysseyware, we are committed to designing and publishing standards-aligned courses to support student learning. Our curriculum development team designs courses beginning with state and national standards.

Subject Matter Experts unpack each standard to craft standards-aligned learning objectives prior to collaborating with instructional designers, curriculum writers and editors to design courses, units, lessons, projects and assessments.

Courses in Mathematics, English Language Arts, Science, and History/Social Sciences are aligned to Arkansas' Academic Standards and Curriculum Framework.

## Mathematics 700

### Mathematics 700

Mathematics 700 is designed to prepare junior-high students for Pre-algebra. This course focuses on strengthening needed skills in problem solving, number sense, and proportional reasoning. It also introduces students to integers, equations, and geometric concepts. Students will begin to see the "big picture" of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

• Integers: Students will learn how to locate, add, subtract, multiply, and divide integers to solve word problems, as well as compare integers using absolute value and the order of operation.
• Fractions: Students will understand how fractions can be written into other forms without changing their value, and how to add, subtract, multiply, and divide fractions.
• Decimals: Students will explore how to rewrite fractions as decimals, and how to use decimals to solve real-world problems.
• Patterns and Equations: Students will learn how to translate words into equations and use them to solve number patterns.
• Ratios and Proportions: Students will explore how to use ratios to compare numbers, solve proportions, and convert between percent’s, decimals, and fractions.
• Probability and Graphing: Students will be able to determine the probability of an event, and if they are independent or dependent events, as well as create a graph of an equation
• Data Analysis: Students will learn how to interpret statistics using stem-and-leaf plots, histograms, and other graphical means.
• Geometry: Students will explore how points, lines, and planes interact and how to solve equations using their information.
• Measurement and Area: Students will learn about finding perimeters and areas of different polygons and using the Pythagorean theorem to solve problems.
• Surface Area and Volume: Students will explore three-dimensional figures and how to find their surface area, volume of them.

State: National
Category: Math
Course Length: Year

## Earth Science

### Earth Science

Earth Science is a basic science course intended to further explore the designs and patterns of our planet. This course covers such areas as the origin, history, and structure of the earth. It also covers forces that cause change on the earth and features of the earth including the crust, water, atmosphere, weather, and climate. Earth science wraps up with astronomy and a study of all the planets, the solar system, and galaxies. The course strives to teach that each feature of the earth interacts with the others in many critical ways, and the study of these relationships is important to humanity. Students at this level should show development in their understanding of scientific inquiry. Some of the units containexperiments and projects that seek to develop meaning and to actively engage the student. The continued exposure to science concepts and scientific inquiry will serve to improve the students' skill and understanding.

• Origin of the Earth: Students will explore the theories of the origin of the universe and the Earth.
• History of the Earth: Students will explore methods for determining the age of the Earth and its geologic history.
• Dynamic Structure of Earth: Students will explore the changes and cycles constantly affecting the Earth.
• Forces and Features of Earth: Students will learn about the forces at work on the Earth, such as earthquakes and volcanoes and how to use maps.
• Features of Earth’s Crust: Students will learn about rocks, minerals and other resources.
• Shaping Earth’s Crust:Students will explore the forces that shape the Earth’s crust, such as weathering and erosion, and other constructive and destructive forces.
• Earth’s Water: Students will explore the water cycle and the different bodies of water on the Earth.
• Earth’s Atmosphere: Students will explore the make-up of the Earth’s atmosphere and the impact of humans on the atmosphere.
• Earth’s Weather and Climate: Students will explore weather and climate and how to measure and predict weather.
• Astronomy: Students will explore the solar system and other celestial bodies in the universe.

State: National
Category: Science
Course Length: Year

## Mathematics 800 Fundamentals

### Mathematics 800 Fundamentals

Mathematics 800 Fundamentals is an introductory algebra course designed to prepare junior-high school students for Algebra I. The course focuses on strengthening needed skills in problem solving, integers, equations, and graphing. Students will begin to see the "big picture" of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

• The Real Number System: Student will explore different properties of numbers, and how to use them to simplify expressions and formulas to make computations easier.
• Modeling Problems in Integers: Student will translate and solve one-step equations, or two-step equations in context, and check solutions for reasonableness, using the order of operations, and by substituting values for variables.
• Modeling Problems with Rational Numbers: Student will add, subtract, multiply, and divide decimals, fractions, and mixed numbers with variables, likes, and unlike denominators to solve one and two-step word problems.
• Proportional Reasoning: Student will convert between fractions, decimals, and percent’s, and compare them, and identify similar and congruent figures and their corresponding parts and solve for missing measures.
• More with Functions: Student will identify the parts of a line or quadratic equation and be able to graph it, and explore arithmetic and geometric sequences, as well as exponential growth and decay.
• Measurement: Student will explore relationships between sets of lines and the angles they create, understand and use the Pythagorean theorem, and identify characteristics of polygons.
• Plane Geometry: Student will determine how to calculate areas of common polygons, identify different transformations and how to determine the type and original image location.
• Measures of Solid Figures: Student will calculate surface area and volume of different objects and solve for missing measures of 3 dimensional figures when given surface area or volume and explain the relationship between surface area and volume.
• Data Analysis: Student will identify the mean, median, mode, range, lower quartile, and upper quartile of different data sets and construct the best display of the information.
• Probability: Student will identify all the possible outcomes of a given situation using combinations, permutations, and probability, and determine if events are dependent or independent.

State: National
Category: Math
Course Length: Year

## Mathematics 700 Fundamentals

### Mathematics 700 Fundamentals

Mathematics 700 Fundamentals is designed to prepare junior-high students for Pre-algebra. This course focuses on strengthening needed skills in problem solving, number sense, and proportional reasoning. It also introduces students to integers, equations, and geometric concepts. Students will begin to see the "big picture" of mathematics and learn how numeric, algebraic, and geometric concepts are woven together to build a foundation for higher mathematical thinking.

• Integers: Students will learn how to locate, add, subtract, multiply, and divide integers to solve word problems, as well as compare integers using absolute value and the order of operation.
• Fractions: Students will understand how fractions can be written into other forms without changing their value, and how to add, subtract, multiply, and divide fractions.
• Decimals: Students will explore how to rewrite fractions as decimals, and how to use decimals to solve real-world problems.
• Patterns and Equations: Students will learn how to translate words into equations and use them to solve number patterns.
• Ratios and Proportions: Students will explore how to use ratios to compare numbers, solve proportions, and convert between percent’s, decimals, and fractions.
• Probability and Graphing: Students will be able to determine the probability of an event, and if they are independent or dependent events, as well as create a graph of an equation
• Data Analysis: Students will learn how to interpret statistics using stem-and-leaf plots, histograms, and other graphical means.
• Geometry: Students will explore how points, lines, and planes interact and how to solve equations using their information.
• Measurement and Area: Students will learn about finding perimeters and areas of different polygons, and using the Pythagorean theorem to solve problems.
• Surface Area and Volume: Students will explore three-dimensional figures and how to find their surface area, volume of them.

State: National
Category: Math
Course Length: Year

## Mathematics 600 Fundamentals

### Mathematics 600 Fundamentals

Math 600 Fundamentals is a full-year elementary math course focusing on number skills and numerical literacy, with an introduction to the number skills needed for algebra. In it, students will gain solid experience with number theory and operations, including decimals and fractions. This course also integrates geometric concepts and skills throughout the units, as well as introducing students to statistical and probability concepts.

By the end of the course, students will be expected to do the following:

• Perform all four operations on whole numbers, decimals, and fractions.
• Factor numbers completely and find greatest common factors.
• Convert between fractions, decimals, and percentages.
• Represent numbers with exponents.
• Calculate perimeters and areas of regular plane shapes and measure angles.
• Plot ordered pairs on coordinate grids.
• Represent data on statistical charts, including picture, bar, line, and circle graphs.
• Calculate probabilities and make predictions

State: National
Category: Math
Course Length: Year

## Pre-calculus

### Pre-calculus

Pre-calculus is a full-year, high school credit course that is intended for the student who has successfully mastered the core algebraic and conceptual geometric concepts covered in the prerequisite courses: Algebra I, Geometry, and Algebra II. The course primarily focuses on the skills and methods of analytic geometry and trigonometry while investigating further relationships in functions, probability, number theory, limits, and the introduction of derivatives.

• Relations and Functions: Student will examine functions, inverses of functions and combine functions to verify inverses, as well as distinguish between linear and quadratic functions.
• Functions: Student will solve polynomials using the quadratic theorem, remainder theorem and factor theorem, identify graphs of different polynomial equations and inequalities, and understand complex numbers.
• Trigonometric Functions: Student will identify and solve for missing components of trigonometric functions, calculating trigonometric values for different angles and relate degrees to radians, and radians to degrees.
• Circular Functions and their Graphs: Student will use parametric equations with trigonometric operations to model and solve problems, and calculate amplitude, period, and phase shift for graphed trigonometric functions.
• Identities and Functions of Multiple Angles: Student will simplify trigonometric expressions utilizing trigonometric identities, and double and half-angel formulas, and combine the identities and angle formulas learned in this unit to prove trigonometric relationships.
• Application of Trigonometric Functions: Student will solve problems using trigonometric functions andcombine trigonometric functions and vectors to solve incline plane problems and navigation problems.
• Inverse Trigonometric Functions and Polar Coordinates: Student will solve for unknowns using inverse trigonometric functions, recognize their graphs, and convert equations from Cartesian to polar coordinates, and from polar to Cartesian coordinates.
• Quadratic Equations: Student will identify properties and equations of circles, ellipses, parabolas and hyperbolas, and calculate point rotations and apply them to equations.
• Counting Principles: Student will distinguish between mutually exclusive, independent and dependent events, and between combination and permutation, and use the explicit formula and the recursive formula to find the nth term as well as the general term of an arithmetic sequence, or geometric sequence.
• Calculus: Student will solve functions involving numbers and conditions, understand limit notation, and evaluate limits using the limit theorems, and find the slope of curves, and calculate the angle between two curves.

State: National
Grade Level: 9, 10, 11, 12
Category: Math
Course Length: Year

## Consumer Math

### Consumer Math

Consumer Math is an introduction to the many ways in which math can be used in everyday life. The course gives practical advice on how to handle situations that involve money and math principles. Consumer Math focuses on the basic skills and methods of arithmetic and provides students the opportunity to develop experience with algebraic techniques of evaluating variables and equations, including geometric formulas and interest equations. Students will also be introduced to topics in statistics.

• Basic Math Review: Student will apply the rules of adding, subtracting, multiplying, and dividing to signed numbers, fractions with like and unlike denominators, mixed numbers and improper fractions, as well as convert between fractions, decimals and percent’s.
• Personal Finance: Student will recognize various forms of compensation for employment, identify other methods to earn money, and calculate tips, pay, income needs, and deductions from a paycheck.
• Statistics: Student will calculate central tendencies, variances, standard deviations, and distribution curves for a set or sets of data, determine probabilities, and analyze balance sheets.
• Taxes and Insurance: Student will differentiate between the kinds of insurance, how to calculate costs, deductibles, and out of pocket costs, as well as understanding the different types of taxes and tax rates.
• Banking Services and Investments: Student will become familiar with the different services of a bank, know about estates, wills and trusts, and calculate different types of interest.
• Banking and Credit Costs: Student will understand credit, how it affects your financial life, how to calculate different types of interest, and determining your account balance in several ways.
• Purchase and Sale of Goods: Student will calculate prices, discounts and rebates on items, understand insurance premiums, deductibles, and discounts, and determine the cost of renting, leasing, or purchasing a vehicle or home, and other expenses those entail.
• Leisure, Travel, and Retirement: Student will consider the expenses involved in traveling, different recreations and hobbies, and necessary funds for retirement.
• Jobs Related Services: Student will use ratio and proportions to solve problems involving electricity, pulley problems, and fulcrum problems, calculate expenses involved in certain jobs, and use area formulas and trigonometric functions to solve real world problems.

State: National
Grade Level: 9, 10, 11, 12
Category: Math
Course Length: Year

## Geometry

### Geometry

Geometry is a full-year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and methods of linear, quadratic, coordinate, and plane geometry. In it, students will gain solid experience with geometric calculations and coordinate plane graphing, methods of formal proof, and techniques of construction.

• Introduction: Student will solve problems using set theory and operations, identify characteristics of postulates and relate geometric theorems on points, lines, and planes
• Logic: Student will use inductive reasoning to draw reasonable conclusions, or deductive reasoning to prove basic theorems, and write conditional statements, converses, inverses and contrapositives.
• Angles and Parallels: Student will identify types of angles, categorize a shape as a polygon or non-polygon, identify different kinds of polygons, and find angle measures of polygons
• Congruent Triangles and Quadrilaterals: Student will identify corresponding parts of congruent triangles, prove congruent parts using different theorems and postulates, and solve for angle measures of congruent polygons.
• Similar Polygons: Student will use facts about similarity to calculate side and angle measures in similar polygons, and use sine, cosine, and tangent values to solve for missing values in triangles.
• Circles: Student will identify different parts of a circle, and angles and arcs created by different lines interacting with circles and calculate their measures.
• Area and Volume: Student will calculate the area, surface area, and volume of varying polygons by breaking them down into smaller and recognizable shapes.
• Coordinate Geometry: Student will graph linear equations and inequalities, use the distance and mid-point formulas to find lengths of segments and perimeters of geometric shapes, and find the equation of a line in various ways.
• Transformations: Student will understand rotations, reflections, dilations and translations in terms of angles, circles, perpendicular lines, and line segments, and find the result of combining multiple transformations.
• Geometric Application: Student will use the functions sine, cosine, and tangent, and the inverse trigonometric functions (sin-1, cos-1, and tan-1) to calculate unknown side lengths in right triangles, calculate densities, and use ratios to calculate unit scales.
• Probability: Student will determine the number of combinations, or permutations, in choosing elements from a set, explain the concept of conditional probability as found in everyday situations, and analyze decisions and strategies using probability concepts.

State: National
Grade Level: 9, 10, 11, 12
Category: Math
Course Length: Year

## Algebra II

### Algebra II

Algebra II is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra I. This course focuses on algebraic techniques and methods in order to develop student understanding of advanced number theory, concepts involving linear, quadratic and polynomial functions, and pre-calculus theories. This course also integrates geometric concepts and skills throughout the units, as well as introducing students to basic trigonometric identities and problem solving.

• Set, Structure, and Function: Student will review the properties of sets and functions, determine the domains, ranges and inverses of functions, and simplifying expressions by combining like terms, exponent rules for multiplication and division and exponents.
• Numbers, Sentences, and Problems: Student will solve linear equations and inequalities using multiplication, addition, and distributive properties, graph absolute value, and compound equations and inequalities, and problems involving rate, distance, and time.
• Linear Equations and Inequalities: Student will determine the slope of a line and use that information to write an equation, compare lines, and solve a system of equations using the addition property of equality, the substitution property of equality, and graphical methods.
• Polynomials: Student will factor trinomials using the difference of two squares, the product of the sum of two perfect cubes, perfect square trinomials, and the difference of two cubes, and solve problems involving direct variation, inverse variation and joint or combination variation.
• Algebraic Fractions: Student will reduce fractions, add and subtract fractions, and change mixed numbers and complex fractions to simple algebraic fractions, and solve equations that contain algebraic fractions, variables in the denominator of a fraction, and mixture problems.
• Real Numbers: Student will evaluate and simplify radical expressions and fractional exponent expressions, and solve quadratic equations by the factoring method, and by completing the square.
• Quadratic Relations and Systems: Student will determine the major components of different conic sections, write their equations, solve and graph them.
• Exponential Functions: Student will evaluate and simplify equations in logarithmic form, exponential form, graph them, and use matrices to solve a system of equations.
• Counting Principles: Student will differentiate between a finite and an infinite series, and between an arithmetic and a geometric series, calculate the number of permutations or combinations of r elements from a set of n elements, and use the counting principle, conditional probability, and multiplication principle to calculate the probability of complex events.
• Trigonometry: Student will understand the relationships of trig functions and use Pythagorean identities to determine specific values.
• Statistics: Student will understand how sampling is used to gather information, distinguish between non-random, and random samples and what kinds of bias they employ, and solve problems with linear, quadratic, and exponential models.

State: National
Grade Level: 9, 10, 11, 12
Category: Math
Course Length: Year

## Algebra I

### Algebra I

Algebra I –is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, Pre-Algebra. Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, quadratic, and polynomial functions.
Foundations of Algebra: Student will identify different real number properties, and how to use them to solve algebraic expressions.

• Linear Equations: Student will translate word problems into algebraic equations, and solve them using real number properties, converting between fractions, decimals, and percent’s.
• Functions: Student will understand the characteristics of functions, how to plot them, how to derive their equations, and determine what type of function a graph represents.
• Inequalities: Student will write, graph, and solve inequalities using real number properties.
• Linear Systems: Student will determine the solution of a pair of linear equations, using the addition method, substitution method and matrices.
• Polynomials: Student will add, subtract, multiply, and divide monomials and polynomials, as well as factor polynomials, using several different methods.
• Exponential and Radical Functions: Student will simplify powers of products, a power raised to a power, and quotients of powers, using the rule of exponents, and add, subtract, multiply, and divide radical expressions to solve equations.
• Quadratics: Student will identify, write, and graph various triangle, circle and quadratic equations and inequalities using the Pythagorean theorem, and by factoring, completing the square, and using the square root method.
• Rational Expressions: Student will add and subtract fractions with like and unlike denominators, solve proportions, equations and inequalities containing rational expressions, and solve different word problems using rational equations.
• Probability and Statistics: Student will determine the central tendencies of a given data set, as well as evaluate probability of possible outcomes using multiple methods.

State: National
Grade Level: 9, 10, 11, 12
Category: Math
Course Length: Year