Unsurprisingly, Maths is one of the High School Diploma's core subjects. Most American high-school programmes expect students to take a year of maths for each year of high school (Grades 9-12), usually earning one credit per year.
Most high school diplomas include four maths credits, typically spread across four years of high school study. At the very least, they should definitely be included in the last three years of the diploma.
How you spread these credits out depends on the young person’s abilities and post-high school plans.
So, as a credit reflects a year of work, a Maths credit reflects a combination of the time spent on maths-related learning along with the range and depth of material studied and skills developed.
You can work to an externally set curriculum or create your own combinations. The level of work should always be age-appropriate and realistic, particularly for younger high school students.
Remember, a typical 1 credit course means:
Around 120–180 hours of instruction and study over one academic year, for example, this might be:
1 hour a day, 5 days a week, for 30 weeks
An hour of a school lesson may be covered in 30-45 minutes at home due to the intensive and uninterrupted nature of learning at home. One of my highschoolers did a SAT Math prep course with Dumb Ox and I included that as part of that year's credit.
A consistent weekly commitment over a year in a home education context
I included relevant work my children did as part of a local home ed co-op.
Half of a two-year GCSE-level textbook
An externally-led course (like Dreaming Spires Home Learning or Dumb Ox)
A whole textbook for a course meant for one school year (even if they finish it in less than a year)
Project-based learning
Young people will often deep-dive into a subject once given the time and space to enjoy delight-led learning; this could be anything from an interest in music, a favourite book series, a period of history or a hobby. I have found that it is straightforward to document these credits if you have given your child the space to truly explore the topic.
Some student-led project credits my children have completed were based around the following topics: Creating YouTube stop-motion Lego shorts (Transcript title: 'Creative Technology'); 3D printing (Transcript title: 'Design and Technology: 3D Printing'); Researching and building a PC (Transcript title: 'Computer Technology').
Maths education can include courses that follow a textbook or they can be adapted around the student’s strengths with consideration given to interests and future plans. The aim is to develop the mathematical arm of STEM skills, analytical reasoning and problem-solving. Study should ideally be steady show progress in a skills-appropriate way.
Maths doesn’t have to be abstract or discouraging and so flexibility in how courses are learnt and documented is acceptable. Students who find maths particualrly hard or need a less theoretical route could choose more practical options.
Algebra I
Geometry
Algebra II
Pre-Calculus / Statistics / Calculus
Integrated Maths or skills-building courses combining algebra, geometry and problem solving at a steady pace that suits the learner
Applied Mathematics practical courses focused on real-world problems such as money, measurements, data interpretation, and patterns (e.g., financial math or maths for everyday life)
Statistics - accessible numeracy and data literacy that supports many subjects and careers
Don't forget that math books don't just have to be textbooks. There are many interesting books written about maths that can be included in math credit once read and narrated. It is good to encourage your child to think of maths as not merely found in a textbook!
Some examples include:
The Wonder Book of Geometry: A Mathematical Story, David Acheson;
Math Without Numbers, Milo Beckman;
A Mind for Numbers: How To Excel at Math and Science, Barbara Oakley;
The Cartoon Guide to Algebra, Larry Gonick
The idea of assessing your child's work and assigning overall grades can be daunting, especially if you are used to exam results being the main benchmark of success. Of course, even though external examinations are not required for the HSD to be valid, you can draw on the College Board SAT and AP exams for standardised assessments. Whether you use them will depend on your end objective.
Thankfully, assessment doesn't have to be stressful or difficult. Parent-assigned grades are normal in the home educating HSD. Grades are typically based on your overall evaluation of a student’s understanding and progress across the course, even the amount of effort can be taken into account.
You are documenting how well s/he has learnt the material set before them, not predicting performance under exam conditions. You are uniquely well placed to make this judgement: You see the day-to-day work, hear your child explain concepts out loud, read the written responses and observe how independently s/he can applies the knowledge learnt.
Grades are intended to reflect effort, progress and achievement over time. The transcript uses letter grades. Some parents find it helpful to think in terms of overall mastery.
Simple grade scale:
A – Excellent understanding and strong engagement with the material
B – Good understanding with minor gaps or areas for growth
C – Satisfactory understanding; key concepts grasped
D – Limited understanding; significant support required
F – Material not adequately covered or understood
High school learning is rarely neat or perfectly linear, especially for home-educated students who may be catching up in some areas while accelerating in others.
Once a child is officially of high school age, remedial or catch-up work still counts toward credits. Grades should reflect the progress and achievement relative to the material covered that year, not how far behind or ahead s/he may have been at the start.
To take pressure off, you could grade later work once skills have stabilised; describe uneven progress in the course description rather than penalising the grade. Remember, it is legitimate to weigh effort and improvement alongside outcomes.
This approach produces transcripts that are honest and accurately reflect your young person’s learning.
As you know by now, the HSD route is hugely flexible and the maths courses I have used or put together for my children so far have included a variety of approaches, each dependent on the stage and ability of the learner.
Learning can be recognised by looking back assigning completed work to a stage and course. When recording on the transcript, the most essential element is to have a clear, concise title (see below) as titles are what inform the 6th form college, university or future employer of the depth, breadth and interest of the young person's studies.
There is no 'one right way.' You can adjust accelerate or slow down based on confidence and goals.
A sample structure might look like:
Year 1: Foundation skills or Algebra I
Year 2: Practical maths or Geometry
Year 3: Data/Statistics or Algebra II
Year 4: Applied maths, Pre-Calculus, or enrichment course
During some years, my high schooler’s main focus was on another subject. We still kept maths ticking along and made progress, but we weren’t following a single, defined maths course; those years were best described as Integrated Maths or Practical Maths.
For most students, Maths credits are appropriately pitched at UK Key Stages 4/5, aligning with US Grades 9–12.
Remedial level work can be counted if your child is the age that is equivalent to UK years 10-13. Progression should reflect his/her readiness, not an external timetable.
There is no requirement to move into advanced (AP level) or honours-level work early, or even at all.
Titles are important. The list of titles on the transcript illustrate the depth, breadth and interest of the young person's studies.
You should choose concise, descriptive course titles for each maths credit. The title should aim to reflect with consistency and clarity what was studied, rather than the name of the textbook or programme used.
Typical examples include:
Algebra I
Algebra II
Geometry
Integrated Mathematics (This is the title I would use to cover any GCSE module work.)
Pre-Calculus
Calculus
Statistics
Other examples include:
Pre-Algebra
Math Foundations
Accounting
Business Math
Humanities-focused daughter
Four maths credits: Integrated Mathematics I; Integrated Mathematics II; Algebra I; Algebra II.
Engineering-focused son
Four maths credits: Algebra I; Geometry; Algebra II; Integrated Mathematics.
A course description is a short written summary explaining what your child studied and how the course was structured.
They are typically one short paragraph (3–6 sentences) per course, often written after the course is completed and are included to clarify and support the title shown on the transcript.
Course descriptions are nice to have but not essential for the transcript.
If using, you could include: the main topics or themes covered; the types of materials used (books, projects, discussions, etc.) the skills developed (for example, analysis, writing, problem-solving); and the overall level of the course.
If someone unfamiliar with your child needed to understand what this course actually was, this paragraph should tell them.
An example from my son's portfolio:
Geometry
The course combines the second half of Geometry with the SAT recap course to award one maths credit. The SAT Math element consists of reviewing and revising all elements of High School Maths in preparation for the SAT exam.
In the Geometry element, students continue learn to identify and work with various types of angles, including supplementary, complementary, and corresponding angles, as well as alternate interior and exterior angles. They will use postulates and theorems to write formal proofs and solve problems involving congruent triangles. The course covers key geometric concepts such as calculating the altitude, median, and bisector of triangles, using trigonometric ratios in right triangles, finding the area of polygons, circles, and space figures, and will explore properties of quadrilaterals, solve for angles in polygons and circles, and simplify radicals.
Regular tests throughout the course are used for review and to check students’ understanding with a final test for course grade.
Humanities-focused daughter
I did not need to write course descriptions at all because I was able to enter details of the materials used directly into our umbrella school's record-keeping system.
Engineering-focused son
I used course descriptions extensively for my older son's essential portfolio. A portfolio was particularly important for two reasons:
1) Evidence to show during the engineering apprenticeship application process;
2) I hadn't yet discovered the weight that an umbrella school lends to the validity of your HSD.
Maths is an essential subject but not all students find it straightforward. Thankfully, there are many ways to help if your child finds maths challenging.
Remember, remedial or catch-up work still counts once your child is of actual high school age (14-18, Grade 9-12, Years 10-13). Progress does not need to be linear to count. Late bloomers need not be left behind!
Things to consider for children who lack confidence or struggle with maths include:
Review foundational concepts at a gentle pace before progressing
Read and scribe (Like in other subjects, I would read aloud the maths questions and scribe for my son so that his reading and writing challenges during the first year or two of the HSD would not slow his ability to access the maths material.)
Use real-life contexts (money, measurements, patterns) to make ideas concrete
Include applied courses that build numeracy without unnecessary pressure
Titles for SEN young people can include: Modified Basic Math, Modified Pre-algebra, Modified Algebra I
Maths credits are about documenting real learning, not about meeting a narrow or idealised standard.
Understanding Credits
Creating a Transcript
Planning High School