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 the New Mexico Content Standards, New Mexico STEM Ready! and Common Core State Standards.

Our digital curriculum is continually recognized for its consistent quality and rigor, with 22 technology courses receiving the ISTE Seal of Alignment for Proficiency and 22 core courses approved by Quality Matters.

Mathematics 600

Mathematics 600

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

  • Unit 1: Identify, compare, and calculate problems with decimal numbers
  • Unit 2: Identify, reduce, compare, and represent fractions
  • Unit 3: Use division to solve problems involving fractions
  • Unit 4: Use ratios to solve problems, interpret data, and make comparisons
  • Unit 5: Use rates and percentages to solve problems
  • Unit 6: Calculate the measurements of geometric shapes
  • Unit 7: Identify and use rational numbers and their opposites
  • Unit 8: Identify, use, and compare expressions
  • Unit 9: Translate, write, and solve equations involving addition, subtraction, multiplication, and division
  • Unit 10: Interpret and describe data presented in various graphs
  • Unit 11: Review skills and concepts from throughout the course

State: National
Grade Level: 6
Category: Math
Course Length: Year

Advanced Algebra

Advanced Algebra

Advanced Algebra is a full year high school mathematics course intended for the student who has successfully completed Analytic Geometry. This course is designed to prepare students for college-level and real-world mathematical reasoning. The concepts covered in this course integrate the topics of Statistics, Algebra II, and Trigonometry. Throughout the course, students will perform operations with rational, radical, and exponential expressions, explore higher order strategies necessary for analyzing multi-level logarithmic, exponential, linear, quadratic and polynomial functions and equations. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

  • Inferences and Conclusions from Data: Student will understand random and non-random sampling and the biases they may cause and determine normal distributions and calculate variance and standard deviations from a data set.
  • Polynomial Functions: Student will simplify algebraic expressions using several properties and operations, understand the graphic solutions to linear systems, and begin to understand complex numbers.
  • Rational and Radical Relationships: Student will solve multi-step equations, write equations of a line given various information, use conjugates to rationalize the denominator of an algebraic expression, and solve different types of problems using rational equations.
  • Exponents and Logarithms: Student will understand common and natural logarithms, exponential equations, and graphs of logarithms, square and cube roots, and exponential functions.
  • Trigonometric Functions: Student will evaluate trigonometric and reciprocal trigonometric functions in degrees and radians and identify their graphs and specific parts of their graphs, and solve trigonometric equations using Pythagorean identities and substitution.
  • Mathematical Modeling: Student will calculate the common difference of an arithmetic sequence, the common ratio of a geometric sequence, and extend them to the nth term, graph quadratics and analyze them as they are changed using different methods and use ratios or proportions to be able to calculate unit scales and solve problems.

 

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

Coordinate Algebra

Coordinate Algebra

Coordinate Algebra is a full-year mathematics course intended for high school students who have successfully completed general mathematics for grade 8 or pre-algebra. This course focuses on complex operations of integers and variables while incorporating algebraic techniques and methods in order to develop student understanding of mathematical expressions, and concepts involving linear, quadratic, exponential and polynomial functions. Coordinate Algebra also integrates statistical theory with computational practices as well as to include coordinate geometry and geometric concepts, theorems and skills.  Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

  • Relationships between Quantities: Student will use the rule of exponents to simplify products, write equations of direct variation, find the distance between two points, and factor polynomials in various ways.
  • Reasoning with Equations and Inequalities: Student will solve equations containing rational expressions and proportions, calculate slopes of lines in various manors, and write equations of a line given different pieces of information.
  • Linear and Exponential Functions: Student will identify sets of data as functions or inverse functions, and graph them, evaluate perimeters, areas, volumes, and linear expressions, as well as identify an arithmetic or geometric sequence, find the common difference or ratio, and extend it to the nth term.
  • Describing Data: Student will find the central tendencies of data, construct and interpret different plots of data, and calculate numbers of permutations or combinations of sets of data.
  • Transformations in the Coordinate Plane: Student will identify different types of angles, analyze relationships between parallel lines and a transversal, and what happens to images after a translation, rotation, or reflection.
  • Connecting Algebra and Geometry through Coordinates: Student will solve for the slope of the sides and diagonals of geometric figures, classify quadrilaterals using various manors, and find the areas of geometric figures.

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

Analytic Geometry

Analytic Geometry

Analytic Geometry is a full year high school mathematics course intended for the student who has successfully completed Coordinate Algebra. This course is designed to prepare students for college-level and real-world mathematical reasoning. The concepts covered in this course integrate the topics of Advanced Algebra, Geometry, Trigonometry, and Statistics. Throughout the course, students will explore higher order strategies necessary for analyzing multi-level linear, quadratic and polynomial functions and equations, investigate geometric proofs involving similarity and congruence in triangles and quadrilaterals as well as special angle relationships formed by parallel lines and transversals. Students are exposed to several branches of mathematics and will explore ways in which each one can be used as a mathematical model in understanding the world.

  • Similarity, Congruence, Proofs: Part I:Student will identify different types of angles and solve for missing angle measures, as well as use corresponding parts of congruent triangles to prove triangles are congruent using different postulates and theorems.
  • Similarity, Congruence, Proofs: Part II:Student will use properties of parallelograms to prove statements involving triangles, rectangles, rhombus, trapezoids, as well as state key properties of similarity, and use facts about similarity to calculate side measures of similar polygons.
  • Right Triangle Trigonometry: Student will express trigonometric functions as ratio of a given angle, and use a table of sine, cosine, or tangent values to solve for a missing value, and use the inverse trigonometric functions (sin-1, cos-1, and tan-1) to find unknown angle measurements in right triangles.
  • Circles and Volume: Student will identify, define, and calculate measures of the parts of a circle, or measures of different forms created by lines intersecting with a circle, as well as finding the surface area and volume of different conic sections.
  • Extending the Number System: Student will add, subtract, and multiply polynomials, and perform long division of polynomials, factor trinomials using the difference of two squares, the difference of two cubes, and perfect square trinomials, and perform operations with complex numbers including using FOIL to multiply, divide, and find multiplicative inverses using complex conjugates.
  • Quadratic Functions Part I: Student will solve quadratic equations by factoring, using the quadratic formula, or by completing the square, and find the discriminant of a quadratic equation and use it to determine what kinds of solutions a quadratic equation has.
  • Quadratic Functions Part II: Student will write a linear equation in slope-intercept form, identify the slope and y-intercept of a line from the given equation, and graph a line using the slope and y-intercept, and find the common difference of an arithmetic sequence, and extend it to the nth term.
  • Modeling Geometry: Student will find properties and measures of shapes using the coordinate plane, and know properties of triangles, use the standard and general form of the circle formula to solve problems in the coordinate plane, and derive and apply the equation, find the directrix, the focus, and graph a parabola.
  • Applications of Probability: Student will determine the theoretical probability of a single event, compound events, independent events, and mutually exclusive events, and explain the concept of conditional probability as found in everyday situations.

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

Mathematics 500

Mathematics 500

Math 500 is a full-year elementary math course focusing on number skills, mathematical literacy, and geometric concepts. Students will gain solid experience with number theory and operations, including whole numbers, decimals, and fractions. In addition, students will develop their understanding of measurement and two- and three- dimensional figures. This course also integrates mathematical practices throughout the units, as well as introducing students to algebraic, statistical, and probability concepts.

In this course, students will be taught the following:

Place Value, Addition, and Subtraction

  • Adding and subtracting of decimals and fractions
  • Comparing and ordering whole numbers
  • Determining rules for number patterns
  • Mental math
  • Rounding and estimating

Multiplying Whole Numbers and Decimals

  • Estimating whole number products
  • Multiplying decimals
  • Multiplying whole numbers
  • Properties of multiplicationDividing Whole Numbers and Decimals
  • Dividing with money
  • Dividing whole numbers and decimals
  • Estimating quotients
  • Interpreting remainders

Algebra and Graphing

  • Coordinate plane
  • Expressions
  • Graphing functions
  • Integers
  • Numerical patterns in tables and graphs
  • Order of operations
  • Scatterplots

Measurement

  • Capacity
  • Density
  • Length
  • Mass
  • Time and temperature
  • The Metric System
  • Weight
  • cting fractions
  • Adding and subtracting mixed numbers
  • Estimating sums and differences
  • Multiplying mixed numbers
  • Multiplying whole numbers and fractions

Data Analysis and Probability

  • Bar/Line Graphs
  • Choosing the right graph
  • Collecting data and frequency tables
  • Line plots
  • Listing outcomes
  • Making predictions
  • Measures of central tendency
  • Probability
  • Stem-and-Leaf plots

Geometry

  • Angles
  • Circles
  • Geometry terms
  • Polygons
  • Quadrilaterals
  • Making predictions
  • Similar and congruent figures
  • Solid figures
  • Symmetry
  • Transformations
  • Triangles

Perimeter, Area, and Volume

  • Perimeter, Area, and Volume
  • Area
  • Circumference
  • Parallelograms
  • Polygons
  • Regular polygons
  • Squares and rectangles
  • Surface area
  • Triangles
  • VolumeFinancial Literacy
  • Exploring your finances

State: National
Grade Level: 5
Category: Math
Course Length: Year

Mathematics 400

Mathematics 400

Math 400 is a full-year elementary math course focusing on number skills and mathematical literacy. 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, teaches measurement skills, and introduces students to statistical concepts.

  • Unit 1: Use place value, fact families, and number patterns
  • Unit 2: Use knowledge of patterns and operations to round and estimate
  • Unit 3: Identify whole numbers and compare fractions
  • Unit 4: Identify the qualities of shapes and angles, and review various concepts
  • Unit 5: Use strategies for division and multiplication, and use units of measurement for capacity, weight, and length
  • Unit 6: Use multiplication strategies and fractions to solve problems
  • Unit 7: Use patterns to add, subtract, compare, and convert fractions
  • Unit 8: Use division strategies and fractions to solve problems
  • Unit 9: Read, write, and compare decimals and fractions
  • Unit 10: Collect and interpret data using different types of graphs, and review various concepts

State: National
Grade Level: 4
Category: Math
Course Length: Year

Mathematics 300

Mathematics 300

Math 300 is a full-year elementary math course focusing on number skills and numerical literacy. In it, students will gain solid experience with number theory and operations, learning how to apply these in measurement situations. This course also integrates geometric concepts and skills throughout the units, as well as introducing students to statistical concepts.

  • Unit 1: Calculate problems using addition and subtraction
  • Unit 2: Identify number patterns and build on addition and subtraction skills
  • Unit 3: Use units of measurement and build on addition and subtraction skills
  • Unit 4: Demonstrate understanding of place value to thousands place
  • Unit 5: Review place value, measurement, and operations
  • Unit 6: Use the operations of multiplication, addition, and subtraction
  • Unit 7: Determine probability, and review operations and measurement
  • Unit 8: Calculate fractions and decimals, and review operations and place value
  • Unit 9: Review number patterns, operations, fractions, and shapes
  • Unit 10: Use addition, subtraction, and multiplication in various ways and review multiple topics

State: National
Grade Level: 3
Category: Math
Course Length: Year

Geometry Fundamentals

Geometry Fundamentals

Geometry Fundamentals 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, 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 ofpostulates 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.

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

Algebra II Fundamentals

Algebra II Fundamentals

Algebra II Fundamentals 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.

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

Algebra I Fundamentals

Algebra I Fundamentals

Algebra I Fundamentals 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, Mathematics 800 Fundamentals. Within the Algebra I Fundamentals course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphinglinear, 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