The K–8 math sequence, a guide for homeschoolers

Homeschooling math has a placement problem built into it: you are usually teaching more than one kid, at more than one level, and the sequence that connects Kindergarten to algebra is rarely written down anywhere you can look at it in one sitting. So here it is, in plain language, followed by the practical question — where does my kid start?

The arc, grade by grade

Each grade is one year of trail. The age ranges are typical, not rules: a kid who is a year ahead should walk a year ahead.

The two halves of that table also divide by developmental band. Kindergarten through Grade 5 is the elementary band, where ideas are built concretely — blocks, number lines, pictures, then notation. Grades 6 through 8 are the middle band, where the same ideas become symbolic and proportional. The app plans the practice differently in each band: more motion and more concrete models early, more notation and reasoning later.

How to place your kid

Start from level, not from age, and do not agonize over it — placement here is a starting point, not a verdict. In the app, the first lesson it suggests for a grade is a recommendation, not a test result: it orients the learner at the trailhead of that grade and nothing is recorded as mastery because of it.

The thing that makes placement cheap is that Unit 1 of every grade is free. You can spend a week in Unit 1 of Grade 2 and a week in Unit 1 of Grade 3 with the same kid and see where they are actually challenged. Doing that beats guessing from a scope-and-sequence chart, and it costs nothing.

Switching grades is also not destructive. Opening a different grade drops the learner at that grade's trailhead and changes nothing about the work they already finished, so a mid-year correction is a normal thing to do rather than a reset.

How a grade is organized

• Units develop a related group of ideas and end in a review or application milestone. That gives a school year natural checkpoints instead of one long march.
• Lessons each hold one named skill: a short teaching sequence, a readiness check, and then practice.
• Readiness checks are deliberately low-pressure. A mistake gets a hint and another attempt, with no penalty attached — the check is there to confirm the learner is ready to practice, not to grade them.
• Checkpoints at the end of a unit are the evidence events. They always run on the same untimed surface, so a checkpoint measures the math rather than the tapping.
• Extension lessons are optional side trails shown on the map. They deepen or preview an idea, and they never block finishing the grade.
• Spaced review keeps older skills showing up in new rounds, which is what stops a mastered skill from quietly disappearing by March.

Running it alongside your curriculum

Math Buddies is a practice and sequence engine, not a replacement for teaching your kid math. It works best in one of three roles:

• The spine. Follow the grade path in order and let the app carry the sequencing, using your own materials for extra explanation when a lesson does not land.
• The practice layer. Keep your existing curriculum and use the app for daily practice, fluency, and spaced review of what you have already taught.
• The catch-up or run-ahead track. Drop a kid into the grade that matches their actual level and let them move at their own speed, regardless of what a scope and sequence says about age.

The parent dashboard is where the two worlds connect: lessons finished, accuracy, learning days, streaks, and the standards covered so far. That last one is the useful column for homeschool paperwork — it lets you line the work up against your state's standards without translating anything yourself.

Questions that come up a lot

My kid is ahead. Do I skip units? You can, but check the checkpoint first. It is cheap to confirm a skill rather than assume it, and assumptions usually surface in a later grade as a mystery struggle.

Do they have to do every lesson? No. Lessons are the path, not a checklist, and the map is happy to let a kid skip the extension side trails entirely.

What about a kid who hates drills? Most of the app is not a drill. The practice rounds attach one skill to a different interaction each time — building an answer, placing it on a number line, catching it, repairing a worked step — so the same mathematics does not arrive in the same shape twice in a row.