Horizons Math

Horizons Math is the math line of Alpha Omega Publications' Horizons curriculum. AOP sells it for kindergarten through 8th grade: Math Box Sets for kindergarten and grades 1 through 6, a Pre-Algebra Box Set for 7th grade, and an Algebra I Box Set for 8th grade. AOP describes the line as spiral-based and parent-led, and calls Horizons Math its most popular curriculum.

Last updated: 2026-10-08 · Every Homeschool Editorial Team

At a glance

Method	Traditional workbook curriculum (Every Homeschool classification); AOP describes it as spiral-based and teacher-led
Worldview	Christian: AOP describes the Horizons line as print Christian curriculum; the Math Box Set descriptions list lessons, topics, and materials and use no Bible or faith wording
Grades	Kindergarten through 8th grade (Math Box Sets for K-6, Pre-Algebra for 7th, Algebra I for 8th)
Formats	Print. K-6: two student books and a teacher's guide. Pre-Algebra and Algebra I: one student workbook, a teacher's guide, and a Tests & Resources Book
Cost tier	Standard (Every Homeschool banding); $120 per Math Box Set, retrieved October 2026
Parent intensity	3 (AOP says Horizons requires active parental involvement)
ESA-common	Yes: AOP's funding page lists 23 states with a check mark for AOP Homeschool
Accredited	No. AOP says Horizons is not a school and cannot be accredited; its online school is Ignite Christian Academy
Established	Alpha Omega Publications says it was founded in 1977; AOP does not state when Horizons Math began
Website	aop.com/pages/horizons

Our scoreboard (1-5)

Criterion	Score	One-line reason
Academic rigor	4	In our assessment, a spiral sequence that runs from kindergarten through Algebra I
Ease of teaching	3	A teacher's guide with step-by-step daily lessons, learning goals, lesson materials, and answer keys; the parent presents each lesson
Content quality	4	In our assessment, a consistent format across K-6 (two student books and a teacher's guide), with a Tests & Resources Book added for Pre-Algebra and Algebra I
Flexibility	3	Sold as Math Box Sets or as separate student books, teacher's guides, and worksheet packets
Value for money	3	$120 per Math Box Set for K-6, Pre-Algebra, and Algebra I (retrieved October 2026); AOP says each child needs their own set of student workbooks
Worldview scope	3	AOP describes the Horizons line as Christian curriculum; the Math Box Set descriptions carry no faith wording
Visual/design	4	AOP describes the K-6 student books as colorfully illustrated
Support resources	3	Teacher's guides, free readiness evaluations, sample pages, a scope and sequence, and a customer service line

Who the publisher is

Alpha Omega Publications says on its About page that it was founded in 1977 and that it provides PreK-12 Christian curriculum, educational resources, and services to Christian schools and homeschool families. AOP's Privacy Policy says Alpha Omega Publications and Ignite Christian Academy (formerly Alpha Omega Academy) are owned by Imagine Learning LLC. The contact page lists a mailing address for AOP's Homeschool Division in Rock Rapids, Iowa. AOP's home page lists four brands: Ignite Christian Academy, Monarch, LIFEPAC, and Horizons. Switched-On Schoolhouse is not among them, and AOP's archived 2022 notice says it has been discontinued.

Horizons Math is the math line of the Horizons brand. AOP's Horizons page lists math for grades K-8 alongside phonics and reading, spelling and vocabulary, penmanship, health, and physical education. It describes Horizons as parent-led and spiral-based, and describes LIFEPAC as a mastery-based, student-paced curriculum for grades K-12. AOP's curriculum page describes Monarch as self-paced online courses for grades 3-12.

On faith content, AOP's About page publishes a six-point Statement of Faith, and its curriculum page lists Christian Worldview among the Horizons features. The 3rd Grade Math Box Set, the Pre-Algebra Box Set, and the Algebra I Box Set describe their lessons, topics, and materials without Bible or faith wording. The Complete Grade Set pages, which include math along with other subjects, describe the sets as Bible-based.

The core pedagogy

AOP's Horizons FAQ explains spiral learning as learning a concept and then revisiting it repeatedly as new, related concepts or skills are introduced, in contrast to mastery-based learning, which focuses on one concept at a time until it is mastered. The Math Box Set page says the spiral model sequentially revisits topics and concepts in increasing complexity. AOP's Horizons page says the lessons include sequential cycles of review along with new learning. In its July 2026 blog post on spiral learning, AOP gives a general example of a spiral math lesson that might include multiplication review, fraction practice, a new geometry concept, and mixed word problems; the post does not describe a specific Horizons grade.

Signature mechanics, as AOP's product pages state them:

1. Two student books per grade for K-6. A Math Box Set has 160 lessons in two colorfully illustrated student books of 80 lessons each.
2. A teacher's guide. AOP says it includes step-by-step daily lessons, learning goals, lesson materials, answer keys, and additional practice worksheets. AOP's Horizons page says parents deliver the daily lessons from the teacher's guides and assess student work with the answer keys.
3. A separate Student Worksheet Packet. AOP sells the packet separately and says its worksheets can be used for extra daily practice or as quizzes or alternate tests. The packet page also says that the same worksheets and their answer keys are included in the grade's teacher's guide. The K-6 Math Box Set page lists two student books and a teacher's guide and no separate test booklet.
4. A Tests & Resources Book for the upper levels. The Pre-Algebra Box Set has 160 lessons, one student workbook, a teacher's guide, and a Tests & Resources Book with 80 review worksheets, 16 tests, and four exams. AOP lists the same structure for the Algebra I Box Set.
5. Topic lists by grade. AOP's product pages give "such as" lists rather than full scopes. For example, the kindergarten set names counting, adding and subtracting single digit numbers, money values, time, days of the week, direction and positions, and simple fractions; the 3rd grade set names square roots, geometry, rounding, graphing, division with 2-digit quotients and remainders, and decimals and fractions; and the 5th grade set names exponents, division with 3-digit quotients, angle measurement, and multiplying and dividing decimals.

Placement comes from AOP's free readiness evaluations. AOP's assessment page says the grades 1-6 evaluations take about 30 to 60 minutes; the grade 1 test is taken orally and includes scoring and re-teaching strategies, and the grades 2-6 tests have scoring and evaluation instructions in the answer key pages. It says the Pre-Algebra and Algebra I evaluations take 45 to 60 minutes.

A day in the life

AOP does not publish a daily timetable or a session length for Horizons Math. The structure it describes is this: the Horizons FAQ says lessons are designed for daily engagement, typically one lesson per subject per day, paced for a typical nine-month school year; the parent delivers the lesson from the teacher's guide; the student completes the corresponding workbook activities; and the parent assesses the work with the answer keys. Each K-6 student book has 80 lessons, and the box set has 160. AOP's teacher's guide page says the guide includes step-by-step instructions for daily lessons, learning goals, curriculum guidelines, suggested materials, and teaching tips.

What they do exceptionally well

Colorful student books. AOP describes the K-6 student books as colorfully illustrated, and its product pages list colorful illustrations among the features. In our assessment, this suits children who respond to color on the page.

A kindergarten-through-Algebra I sequence from one publisher. AOP says math goes through 8th grade (Algebra I), and each level has a box set at the same $120 price (retrieved October 2026). In our assessment, a family that wants one publisher's math format through 8th grade can find it here.

Teacher support and placement help. Each box set has a teacher's guide with answer keys, and AOP offers free readiness evaluations, a kindergarten readiness assessment, and scope and sequence guides.

What they do poorly

Spiral structure. AOP itself contrasts spiral learning with mastery-based learning. In our assessment, a student who prefers to finish one concept before moving on may find the repeated review frustrating. Math-U-See and Math Mammoth describe mastery approaches.

A new set of student books for each child. AOP says each child needs their own set of student workbooks. The two K-6 student books are $38.75 each (retrieved October 2026), or $77.50 for the pair.

Parent-led teaching. AOP says Horizons requires active parental involvement, and its May 2024 blog describes LIFEPAC, not Horizons, as designed for independent learners.

No separate K-6 test booklet. AOP lists two student books and a teacher's guide in the K-6 box set and says the worksheet packet can serve for quizzes or alternate tests. The packet page also says that the same worksheets and their answer keys are included in the grade's teacher's guide.

Math ends at Algebra I in 8th grade. AOP's Horizons page says math goes through 8th grade (Algebra I), and its Algebra I Box Set is for 8th grade. The page says Horizons can prepare students to move to LIFEPAC or Monarch, which it says offer all core subjects plus electives through 12th grade.

Who it fits / who it doesn't

• Pick Horizons Math if: you want a print, teacher-led math program that AOP describes as spiral-based, for kindergarten through 8th grade; you are comfortable presenting each lesson from a teacher's guide and grading with answer keys; you want colorfully illustrated student books; you want one publisher's math sequence through Algebra I.

• Skip Horizons Math if: you want a mastery-based math program, which AOP describes LIFEPAC as being; you want the student to work independently; you want a separate test booklet at every grade; you want a math program with no connection to a Christian publisher, since AOP describes the Horizons line as Christian curriculum; you want a Horizons math course above Algebra I.

Cost honest assessment

AOP prices as listed on aop.com, retrieved October 2026. None showed a sale price.

Product	Price
Math Box Sets: kindergarten, grade 1, grade 2, grade 3, grade 4, grade 5, grade 6	$120.00 each
Pre-Algebra Box Set and Algebra I Box Set	$120.00 each
K-6 Math Student Book 1 or 2	$38.75 each
K-6 Math Teacher's Guide	$62.50
K-6 Student Worksheet Packet	$16.25
Pre-Algebra Student Book, Teacher's Guide, and Tests & Resources Book	$50.00, $50.00, and $31.25

The two K-6 student books ($38.75 each) and the teacher's guide ($62.50) bought separately come to $140.00 ($38.75 plus $38.75 plus $62.50), against $120.00 for the box set. AOP's Complete Grade Sets, which include math with other subjects, are $375.25 for kindergarten and $424.50 each for grades 1 through 3. AOP lists its LIFEPAC 2nd Grade Math Box Set at $108.00.

ESA eligibility notes

AOP's state education funding page says AOP and Ignite Christian Academy are approved vendors in many states. Its chart lists 23 states with a check mark for AOP Homeschool: Alabama, Alaska, Arizona, Arkansas, Florida, Georgia, Idaho, Illinois, Indiana, Louisiana, Minnesota, Mississippi, Missouri, Montana, New Hampshire, North Carolina, Ohio, Oklahoma, South Carolina, Tennessee, Utah, West Virginia, and Wyoming. The chart does not list Iowa or Texas, and its "School Choice Option" column names tax credits and deductions as well as education savings accounts (for example the Idaho Parental Choice Tax Credit and the Indiana Private School/Homeschool Deduction). AOP's ClassWallet page says families using ClassWallet can buy Monarch, LIFEPAC, and Horizons through the marketplace, through Direct Pay (call customer service with the order and request an invoice to submit to ClassWallet), or by reimbursement. AOP's MyScholarShop page covers Florida families using the EMA portal. AOP says state funding legislation and practices continually evolve and tells families to check their state's department of education website for current information, so confirm vendor status with your program before ordering.

Alternatives

• Math-U-See, a family would pick Math-U-See over Horizons Math for a program whose homepage describes a mastery approach with integrated manipulatives, in place of the spiral design AOP describes for Horizons.
• Math Mammoth, a family would pick Math Mammoth over Horizons Math for a program its page describes as mastery-oriented, available as digital downloads and printed versions.
• LIFEPAC math, a family would pick AOP's own LIFEPAC over Horizons Math for a mastery-based, self-paced program that AOP says is designed to build independent learners.