# Mathematics

## Returning Students

Which course should you take next? Review the following guide to help select your next course:

Math Course Progression for Students

## Math Courses

• IXL Math is offered for Kindergarten – 2nd Grade
• Teaching Textbooks Math is offered for 3rd – 12th Grade
• Ensign Peak Academy Math is offered for 7th – 12th Grade

Students in 7th – 12th Grade may choose between Teaching Textbooks Math and Ensign Peak Academy Math.

Note: Students are placed in the right math program for them, given their actual level, regardless of their grade or age. Placement exams are used to help determine the right level for each student.

IXL Math helps students gain fluency and confidence in math. IXL guides students as they master essential skills at their own pace through short video instruction, fun and interactive questions, built in support, and motivating awards.

Kindergarten – 2nd Grade students use their IXL accounts to learn, practice and progress through a comprehensive set of math skills, organized by grade level. IXL accounts are included with tuition and set up by the school.

IXL Math for Kindergarten: This course covers the following skills, at level:

• Numbers and counting
• Place value with teens
• Skip counting
• Comparing
• Patterns
• Subtraction up to 10
• Mixed operations
• Positions
• Fractions
• Time
• Sorting, ordering and classifying
• Data and graphs
• Probability
• Measurement
• Money
• Two-dimensional shapes
• Three-dimensional shapes

IXL Math for 1st Grade: This course covers the following skills, at level:

• Counting and number patterns
• Subtraction
• Mixed operations
• Addition and subtraction word problems
• Comparing
• Estimation
• Place values
• Spatial sense
• Data and graphs
• Measurement
• Money
• Patterns
• Probability
• Sorting, ordering and classifying
• Time
• Two-dimensional shapes
• Three-dimensional shapes
• Fractions

IXL Math for 2nd Grade: This course covers the following skills, at level:

• Counting and number patterns
• Comparing and ordering
• Names of numbers
• Patterns
• Addition, one, two and three digits
• Subtraction, one, two and three digits
• Properties
• Mixed operations
• Place values
• Estimation and rounding
• Logical reasoning
• Money
• Time
• Data and graphs
• Units of measurement
• Two-dimensional shapes
• Three-dimensional shapes
• Geometric measurement
• Fractions
• Probability
• Multiplication
• Division

Teaching Textbooks math curriculum provides Elementary Math 3-7, Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus.

Learn more about Teaching Textbooks by visiting their website. It is a web-based program; content and assignments are located online. No printed text is needed. 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 enroll in the course is right for your student.

When using Teaching Textbooks through your Ensign Peak Academy account, our math mentors can view all students progress. Teaching Textbooks accounts are included with tuition and set up by the school.

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.

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.

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.

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.

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

Teaching Textbooks Math 7: 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.

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: 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.

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

Teaching Textbooks Algebra 1: 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.

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: 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: 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: 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 Courses

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.

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

Ensign Peak Academy Intermediate Math I: 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: 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.)

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: This course 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: This course 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: This course 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.)

## Live and Self-Paced Options

Self-Paced Math: Students enrolled in any self-paced Ensign Peak Academy Math course, Teaching Textbooks Math course or IXL Math course have access to our Afternoon Math Lab as needed.

Live Ensign Peak Academy Math: Students may enroll in live classes for Intermediate Math I and II and Secondary Math I, II and III. Live classes follow a set lesson schedule with assignment due dates. Lessons are taught live by our mentors. See our 2023-2024 Live Class Schedule for details.

2023-2024 Teaching Textbooks Math with Live Math Study Hall: Students enrolled in Live Teaching Textbooks Math 3 – Pre-Calculus will attend live scheduled Math Study Hall sessions twice each week, with a math mentor. Math Study Hall sessions will be 40 minutes in length. Separate Math Study Halls will be provided for Elementary, Middle and High School students. Students in Math Study Hall will proceed through lessons at their own rate during the scheduled Math Study Hall times. Although students will be enrolled in different math courses, they will be in the same live Math Study Hall. They will work on their math lessons during Math Study Hall so a mentor is available to assist them. Mentors encourage, support and track student progress. Students typically finish one lesson during each of the two Math Study Hall sessions plus two lessons each week on their own. See our 2023-2024 Live Class Schedule for details.