Learn math & writing with your polar bear pal.
Polaris Academy teaches math and writing through fun, friendly lessons you read at your own pace — with Pip the polar bear cheering you on the whole way.
Two subjects. One big adventure.
See the thinking, not just the answer
Every lesson shows each step, whether you're solving an equation or fixing up a paragraph.
Short lessons, real practice
Quick reads, one worked example, and one fun thing to try. No long videos to sit through.
Written, so you can go at your speed
Read slow, re-read the tricky part, or skim ahead — it's all right there on the page.
Totally free to join
Sign up free on the Learn page and the whole class library opens right up.
Math and writing are more alike than you'd think.
Polaris Academy started with one idea: kids who are great at math and kids who are great at writing are usually doing the exact same thing. They're building an idea step by step, and checking that each step makes sense.
That's why we teach math and writing side by side, using the same rule for both: explain it clearly, get it exactly right, and make sure it holds up when someone checks your work.
We don't do video lessons here. Every class is written out, because the best way to really learn something tricky is to read it at your own pace — and come back to the hard parts as many times as you need.
What we teach
Math from basic number sense through algebra and geometry, and writing from single sentences to full essays.
How lessons are made
Each one is written by hand with real examples, plus a practice prompt to try on your own.
Who it's for
Elementary and middle school students who want a clear, friendly way to get sharper at math or writing.
What it costs
Nothing at all! Sign up free on the Learn page to open the class library.
Four adventures in math, four in writing.
Every track is a set of written lessons. Start wherever you are — no need to wait for the rest of the class.
Math
Number Basics
Adding, fractions, decimals, and ratios — the building blocks everything else stands on.
Algebra Adventures
Variables, equations, and functions, from simple balancing to graphing your first lines.
Shapes & Measuring
Area, angles, and space — figuring out the world around you with exact reasoning.
Data & Chance
Reading charts, understanding "how likely," and thinking like a young statistician.
Writing
Sentences & Paragraphs
How a good sentence is built, and how paragraphs stick together without extra fluff.
Essay Building
Thesis statements, evidence, and organizing your ideas so they're easy to follow.
Stories & Voice
Telling a story with detail and pacing, and finding a voice that sounds like you.
Revising & Polishing
Turning a rough first draft into a piece you're proud to share.
The class library.
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What a fraction really is
A fraction like 3/4 is just division that hasn't happened yet — it means "3 divided by 4." Once you see it that way, fractions stop feeling like a strange code.
Equivalent fractions
Multiplying the top and bottom by the same number doesn't change the value, because you're really multiplying by 1 (like 2/2 or 5/5). That's how 1/2 and 4/8 end up being the same amount.
1/2 × 4/4 = 4/8Adding fractions with different bottoms
You can only add fractions straight across when they share a bottom number. If they don't, rewrite both with a matching bottom number first, then add the tops.
1/3 + 1/4 → 4/12 + 3/12 = 7/12›
Think of it as a seesaw
An equation is two things that balance, like a seesaw. Whatever you do to one side, you have to do to the other, or it tips over.
Getting x by itself
To solve for x, undo whatever's been done to it, starting with the last thing done — undo addition or subtraction first, then multiplication or division.
2x + 5 = 172x = 12
x = 6
Checking your work
Put your answer back into the original equation. If both sides match, you solved it right!
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Start with a topic sentence
A good paragraph opens with a sentence that tells the reader exactly what it's about. Everything else in the paragraph should support that one idea.
Evidence, then explain it
After your topic sentence, give an example, then explain in your own words why it matters. Evidence alone leaves the reader guessing.
A quick example
Topic sentence: "Reading stories helps people understand how others feel." Evidence: "Kids who read a lot of fiction do better on tests about reading emotions." Explanation: "That's probably because following characters through tough choices trains the same skill as understanding real people."
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What a thesis actually does
A thesis statement tells your reader the exact point your essay is going to make. It's not just a topic ("this essay is about school uniforms") — it's a claim someone could disagree with.
Weak vs. strong
Weak: "School uniforms are a big topic." Strong: "Schools should require uniforms because they help students focus on learning instead of on clothes." The strong one picks a side and gives a reason.
Keep it specific
A thesis that could fit almost any essay on the topic is too vague to be useful. The more specific your claim, the easier the rest of the essay is to write.
100+ things to learn, each with the reasoning behind it.
Every one of these explains not just what the idea is, but why it works that way. Tap any title to open it up.