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Pre-Algebra · Axiom Academy
LESSON Course Complete: Pre-Algebra Congratulations — you finished the whole pre-algebra journey. Let's retrace the big ideas you now own, from the first number to your first equation. Your pre-algebra path ran through 11 units — and you cleared every one. Press play to travel the route and watch each milestone you mastered light up, from place value all the way to transformations. Foundations of Numbers & place value Algebraic Thinking with variables Ratios, Proportions & Similarity Linear Relationships & graphing Geometric Foundations: area & volume A big theme of the course: the number systems you learned aren't separate worlds — they all live on a single number line . Watch it fill in, layer by layer, exactly the order you met them. — where it all started: place value and the four operations. Add zero and the negatives, — the line now runs both directions. The gaps fill in: , , 1.5 — every point between the integers. The same values, rephrased: — fractions wearing a different hat. The point halfway between 0 and 1 is , and 0.5 , and . Seeing that they're one location — not three ideas — is the number sense the whole course was building. The biggest leap you made was letting a letter stand for an unknown number — and then solving for it. Here's a pre-algebra equation worked the way you learned: keep the scale balanced, undo one step at a time. Press play. Undo the +3 : subtract 3 from both sides so the scale stays balanced, leaving 2x = 8 .
This is the written version of the interactive lesson above. See the full Pre-Algebra course.