# Mathematics

## Elementary School Math Courses

These elementary school math courses are offered self-paced, with Math Lab support.

Ensign Peak Academy Elementary Math 1: Elementary Math 1 focuses on four critical areas: (1) developing an understanding of addition, subtraction, and strategies for addition and subtraction within 20; (2) developing an understanding of whole number relationships and place value, including grouping in tens and ones; (3) developing understanding of linear measurement and measuring lengths as iterating length units; and (4) reasoning about attributes of, and composing and decomposing geometric shapes. (This courses uses Ensign Peak Academy curriculum.)

Ensign Peak Academy Elementary Math 2: Elementary Math 2 focuses on four critical areas: (1) extending understanding of base-10 notation; (2) building fluency with addition and subtraction; (3) using standard units of measure; and (4) describing and analyzing shapes. (This courses uses Ensign Peak Academy curriculum.)

Teaching Textbooks Elementary Math 3: This course provides step-by-step audiovisual solutions to
every one of the thousands of homework and test problems. All the standard topics are covered in the curriculum. These include whole numbers, fractions, decimals, dollars and cents, time, perimeter, area, temperature, the metric system, and bar and line graphs. Math 3 also comes with a digital gradebook that grades answers as soon as they are entered and calculates percentages for each assignment. This program also contains the Bonus Rounds. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Simple and long multiplication up to 3 or more numbers
• Division basics
• Adding and subtracting fractions with common denominators
• Simple geometry including lines, line segments, & perimeter
• Identifying factors
• Using a number line
• Measurements & graphs

Teaching Textbooks Elementary Math 4: This course provides step-by-step audiovisual solutions to
every one of the thousands of homework and test problems. Topics covered include operations with whole numbers, fractions, and decimals, simple geometry concepts, units of measure, and percents. Math 4 also has a digital gradebook that grades answers as soon as they are entered and calculates percentages for each assignment. This program also includes bonus rounds. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Simple and long addition and subtraction with real world applications
• Simple and long multiplication & division
• Simple geometry, including angles, perimeter, area, and Venn diagrams
• Money, including writing a check, recording deposits and checks
• Multiplying and dividing with money
• Measurements, including metric system and conversions
• Probability and percentages
• Romans Numerals

Teaching Textbooks Elementary Math 5: This course provides step-by-step audiovisual solutions to
every one of the thousands of homework and test problems. Topics covered include operations with whole numbers, fractions, and decimals, simple geometry concepts, units of measure, and percents. Math 5 also has a digital gradebook that grades answers as soon as they are entered and calculates percentages for each assignment. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Simple addition and subtraction with real world applications
• Simple and long multiplication and division
• Roman Numerals
• Basic geometry, including angles, lines, area, perimeter, polygons
• Decimal basics, including adding, subtracting, multiplying, and dividing
• Money, adding and subtracting with real world applications
• Fractions, including adding, subtracting, improper, and mixed numbers
• Reducing fractions

Teaching Textbooks Elementary Math 6: This course provides step-by-step audiovisual solutions to every one of the thousands of homework and test problems. The program has a total of 116 lessons and 19 quizzes, including fractions, decimals, percents, simple geometry (e.g. area and perimeter), units of measure, probability, bar and circle graphs, and equation-solving. Math 6 also has a digital grade book that grades answers as soon as they are entered and calculates percentages for each assignment. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Addition and subtraction of whole numbers with real world applications
• Simple and long multiplication and division
• Fraction basics and factoring (greatest/least common)
• Addition, subtraction, multiplication and division of fractions and decimals
• Percentages and units of measure
• Basic geometry and graphing concepts
• Order of operations

## Middle and High School Math Courses

Note that Ensign Peak Academy Intermediate Math I and II include all concepts typically taught in a pre-algebra course, so students who complete Ensign Peak Academy Intermediate Math II are ready for Teaching Textbooks Algebra 1 or Ensign Peak Academy Secondary Math I.

Ensign Peak Academy Intermediate Math I (Live and Self-Paced): The goal of this course will also be to bridge the gap from concrete understanding to a more abstract and conceptual understanding of math. While we will be covering Statistics, Geometry, and Algebra, the courses are designed to be cohesive. The students will learn to apply their algebraic understanding to geometry and statistics. They will learn to be creative and to look for patterns. They will learn that running calculations are actually a very small part of math. They need to be able to interpret problems, create simplified models, and be able to justify and communicate their methods and results. This course will cover Scale Drawings, Proportional Relationships, Circles, Rational Number Arithmetic, Expressions, Equations, Angles, Triangles, and Probability and Sampling. (This courses uses Ensign Peak Academy curriculum.)

Ensign Peak Academy Intermediate Math II (Live and Self-Paced): The goal of this course will also be to bridge the gap from concrete understanding to a more abstract and conceptual understanding of math. While we will be covering Statistics, Geometry, and Algebra, the courses are designed to be cohesive. The students will learn to apply their algebraic understanding to geometry and statistics. They will learn to be creative and to look for patterns. They will learn that running calculations are actually a very small part of math. They need to be able to interpret problems, create simplified models, and be able to justify and communicate their methods and results. This course will cover Transformations, Slope, Linear Relationships, Functions, Data, Exponents, Scientific Notations, and the Pythagorean Theorem. (This course uses Ensign Peak Academy curriculum.)

Teaching Textbooks Math 7 (Self-Paced only): This course provides step-by-step audiovisual solutions, and lectures that contain lively animation and sound effects. Math 7 covers all of basic arithmetic, including fractions, decimals, and percents. The program also teaches a fair amount of geometry (e.g. how to find the area of a circle). Other topics include statistics and probability, simple graphing concepts, equations, and inequalities. There are several chapters dedicated to math in the real world. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Addition, subtraction, multiplication, and division of whole numbers with real world applications
• Addition, subtraction, multiplication, division, and reducing fractions
• Addition, subtraction, multiplication, division, notation, and converting fractions to decimals
• Order of Operations
• Concepts and calculations of percentages
• Basic geometry and geometric measurement, as well as graphing concepts
• Introduction to statistics, probability, equations, and inequalities.
• Additional topics including units of measure, the metric system, powers and exponents, square roots, the Pythagorean Theorem, and working with negative numbers

Teaching Textbooks Pre-Algebra (Self-Paced only): Topics covered in this fully-comprehensive Pre-Algebra course include adding, subtracting, multiplying and dividing with whole numbers, decimals, and fractions, percents, measuring length, area, and volume with metric and English units, and negative numbers. Also included are adding, subtracting, multiplying, and dividing powers, scientific notation, roots, solving linear equations in one variable, rate, work, and distance word problems, simplifying and factoring polynomials, and rational expressions. Geometry concepts include lines, angles, polygons, area, congruent and similar figures, and volume and surface area of various geometric solids. The coordinate plane, graphing linear equations, slope, functions, inequalities in one variable, mean, median, mode, and range, stem-and-leaf plots, histograms, scatter plots, probability including tree diagrams, and absolute value are also covered. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Review of basic arithmetic, including fractions, decimals, and percents
• Units of measure including length, area, and volume
• Simple and long algebraic equations and working with integers (negative numbers)
• Combining like terms, rational expressions, powers, polynomials, and radicals
• Geometry, relations, functions, and graphing
• Statistics, probability, and inequalities

Ensign Peak Academy Secondary Math I, II, & III

These courses are a core curriculum grounded in problem-based content and practice standards to promote universal learning and accomplishment. Students acquire knowledge through performing mathematical operations, resolving issues in mathematical and real-world settings, and developing arguments using precise language. Students will learn using high-leverage routines that help them through the process of comprehending and connecting concepts and procedures. Completion of all three of these courses also satisfies all Pre-Calculus requirements. This enables these students to enroll in higher-level courses (for example, calculus) in their fourth year.

Ensign Peak Academy Secondary Math I (Live Only) will cover One-Variable Statistics, Linear Systems, Networks and Matrices, Linear Transformations of Planes and Space, Two-Variable Statistics, Functions, Exponential Functions, Constructions and Rigid Transformations, Vectors in Plane and Space, Projection Matrices, Notation, and Congruence. (This course uses Ensign Peak Academy curriculum.)

Ensign Peak Academy Secondary Math II (Live Only) will cover Quadratic Functions and Equations, Linearity, Complex Numbers and Rational Exponents, Similarity, Right Triangle Trigonometry, Coordinate Geometry,  Polynomial Functions, and Conditional Probability. (This course uses Ensign Peak Academy curriculum.)

Ensign Peak Academy Secondary Math III (Live Only) will cover Sequences and Functions, Polynomials, Exponential Functions and Equations, Transformations of Functions, Circles, Trigonometric Functions, Statistical Inferences, Solid Geometry, Function Behavior, and trigonometric Identities and Inverses. (This course uses Ensign Peak Academy curriculum.)

Teaching Textbooks Algebra 1 (Self-Paced only): Topics covered in this fully-comprehensive Algebra 1 course include adding, subtracting, multiplying and dividing with powers and roots, scientific notation, solving linear equations and inequalities in one variable, rate, work and mixture word problems, simplifying and factoring polynomials, operations with rational expressions, solving quadratic equations by factoring, completing the square, and using the quadratic formula, graphing linear equations, slope, graphing higher-degree equations, solving systems of two linear equations in two variables graphically and algebraically, solving inequalities in one variable, graphing two-variable inequalities, functions, absolute value equations, mean, median, mode, range, stem and leaf plots, box and whisker plots, histograms, probability including tree diagrams, and using a graphing calculator. (This course uses Teaching Textbooks curriculum.)

Topics Include:
• Algebra basics, including integers, order of operations, and combining like terms
• Equation solving techniques
• Rational expressions, and solving rational equations
• Powers, exponents, polynomials, radicals, and scientific notation
• Graphing functions, rate of change, and slope
• Inequalities, radicals, absolute value, and the function concept
• Statistics and probability

Teaching Textbooks Geometry (Self-Paced only): Topics covered in this fully-comprehensive Geometry course include inductive and deductive reasoning, logic, proofs, line segments, rays, angles, perpendicular lines, parallel lines, triangles including congruent triangles, similar triangles and right triangles, the Pythagorean theorem, inequalities, the triangle inequality theorem, quadrilaterals, polygons, including interior angles, exterior angles, perimeter and area, basic trigonometry including the sine, cosine and tangent ratios, circles including circumference, area, radius, diameter, chord, secant line, tangent line, arc, and angle, surface area, lateral area and volume of geometric solids including, rectangular solids, prisms, pyramids, cones, cylinders and spheres, coordinate geometry, constructions transformations, and non-Euclidean geometry.

Topics Include:
• Introduction to geometry
• Lines, angles, angle pairs, parallel, and perpendicular lines
• Congruent, similar, and right triangles and trigonometry
• Circles and area
• Solid and coordinate geometry
• Additional topics including constructions, transformations and non-Euclidean geometries

Teaching Textbooks Algebra 2 (Self-Paced only): Topics covered in this fully-comprehensive Algebra 2 course include adding, subtracting, multiplying and dividing with powers and roots, scientific notation, solving linear equations in one variable, operations on polynomials including polynomial division, solving quadratic equations by factoring, completing the square, and using the quadratic formula, solving radical equations, adding, subtracting, multiplying, and dividing complex numbers, solving third-degree equations, slope, graphing linear equations, graphing the conic sections (coordinate geometry), factoring a difference of two squares and perfect square trinomials, solving systems of linear equations in two or three variables, solving higher-degree systems in two variables, solving inequalities in one variable, graphing and solving compound inequalities, solving quadratic inequalities, graphing two-variable inequalities, solving systems of two linear inequalities in two variables, linear programming, solving absolute-value equations and inequalities, functions, functional notation, domain and range, shifting and reflecting graphs on a coordinate plane, exponential and logarithmic functions, measures of central tendency, range and standard deviation, frequency distributions, probability, permutations and combinations, sequences, matrices and determinants, and using a graphing calculator.

Topics Include:
• Solving first-degree equations, simplifying, and fractional equations
• Powers, roots, exponents, and irrational numbers
• Solving second-degree equations, and radical expressions
• Imaginary and complex numbers
• First, second, and higher-degree equations with two or more variables
• Systems of equations, inequalities, and absolute value
• Working with functions, exponential functions, logarithms, & statistics
• Additional topics include sequences, determinants, & matrices

Teaching Textbooks Pre-Calculus (Self-Paced only): Topics covered in this fully-comprehensive Pre-calculus course include polynomial, radical, exponential, logarithmic and power functions, factoring polynomial equations, trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant functions, inverse trigonometric functions, radians, the unit circle, the law of sines, the law of cosines, trigonometric identities, vectors, polar coordinates, parametric equations, systems of equations, matrices, determinants, conic sections, sequences, series, probability, combinations, permutations, statistics including mean, median, mode, range, quartiles, and standard deviation, complex numbers, Pascal’s triangle, the binomial theorem, DeMoivre’s theorem, synthetic division, and an introduction to calculus including derivatives and integrals.
Topics Include:
• Function basics, shifts, reflections, and transformations
• Polynomial, rational, exponential, and logarithmic functions
• Triangle trigonometry, trigonometric functions, and identities
• Vectors and polar coordinates
• Systems, matrices, and determinates
• Analytic geometry, sequences, probability, and statistics
• Derivative and graphing, integral and area

#### Ensign Peak Academy Math Curriculum

Our custom-developed math curriculum is based on cutting-edge research in math education. Our developer is Ryan Ferree. It is delivered completely via Canvas so no printed text is required.

Courses and release dates are as follows:

• Elementary Math K (to be released for 2024-2025)
• Elementary Math 1 (released for 2021-2022)
• Elementary Math 2 (released for 2021-2022)
• Elementary Math 3 (to be released for 2023-2024)
• Elementary Math 4 (to be released for 2024-2025)
• Elementary Math 5 (to be released for 2024-2025)
• Elementary Math 6 (to be released for 2023-2024
• Intermediate Math I (released for 2021-2022)
• Intermediate Math II (released for 2021-2022)
• Secondary Math I (to be released for 2022-2023)
• Secondary Math II (to be released for 2022-2023)
• Secondary Math III (to be released for 2023-2024)

Please review this chart to better visualize your students path through courses using the Ensign Peak Academy Math curriculum.

Teaching Textbooks curriculum provides self-paced options for Elementary Math 3-6, Math 7, Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus.

Learn more about It is a web-based program; content and assignments are located online. It requires minimal parent involvement, and is fun and engaging for students. The program adheres to a common progression in math instruction, although it is not Common Core aligned.

Please complete the Teaching Textbooks placement exam and let us know which course is right for your student.

When using Teaching Textbooks through your Ensign Peak Academy account, our math mentors can see your students progress, support you with any questions you may have, and provide an elementary school certificate, middle school grade report or high school transcript when your student finishes each course.

# Live and Self-Paced Options

Middle and High Live Math: Students enrolled in an Ensign Peak Academy Math live course attend interactive online classes as they progress through the lessons together.

Middle and High Self-Paced Math: Students enrolled in a self-paced Ensign Peak Academy Math or Teaching Textbooks course have access to our live Math Lab, available four times per week.

Elementary Self-Paced Math: Students learn by using the curriculum with the support of a parent. Students and their parents have access to a math mentor for questions and technical support, via Math Lab, phone and email.