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Growth Paths / Math Mastery Progression
BeginnerFREEGrades K-12Learning

Math Mastery Progression

Count to algebra — one proven step at a time.

A sequential K–12 mathematics track covering eight grade-band phases from counting and number sense through Algebra 1. Each phase has a verified mastery gate: 80%+ on a Khan Academy course mastery assessment or a teacher-graded test. Proof is a screenshot with the student's name visible. No phase can be started until the previous phase is complete — the gate is enforced by the platform, not just by self-report.

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8 required outcomes78 weeksCredential on completionSequential — complete in order

Phases — complete in order

Each phase must be completed before you can enroll in the next. Enrollment is blocked server-side until prior phases are verified.

Learning

Counting & Number Sense

Grades K–1. The foundation for all arithmetic. Students who skip this phase or have gaps in place value struggle with addition and subtraction. Proof: 80%+ on Khan Academy Early Math or Grade 1 Math mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Count and write numbers to 30
  2. 2Compare numbers and find patterns
  3. 3Pass Kindergarten Math assessment at 80%
Learning

Addition & Subtraction Fluency

Grades 1–2. Builds on number sense. Fluency with addition and subtraction facts within 20 is required before multi-digit operations are meaningful. Proof: 80%+ on Khan Academy Grade 2 Math mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Add and subtract within 20
  2. 2Solve word problems with regrouping
  3. 3Pass 1st or 2nd Grade Math assessment at 80%
Learning

Multiplication & Division

Grades 2–4. Fluency with multiplication facts and understanding of division as inverse operation are prerequisites for fractions and ratios. Proof: 80%+ on Khan Academy Grade 4 Math mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Memorize times tables 1 through 10
  2. 2Divide and solve multi-step word problems
  3. 3Pass 3rd or 4th Grade Math assessment at 80%
Learning

Fractions & Decimals

Grades 3–5. Fractions as numbers on the number line — not just 'pieces of a pizza'. This conceptual shift is the most common gap that blocks proportional reasoning. Proof: 80%+ on Khan Academy Grade 5 Math mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Understand fractions as parts of a whole
  2. 2Add fractions and introduce decimals
  3. 3Pass Fractions and Decimals assessment at 80%
Learning

Ratios & Proportional Reasoning

Grades 5–6. Ratios and percentages in real-world contexts. Required before pre-algebra (variables scale ratios). Proof: 80%+ on Khan Academy Grade 6 Math mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Understand ratios and unit rates
  2. 2Solve proportional relationships and percentages
  3. 3Pass 6th Grade Math assessment at 80%
Learning

Geometry & Measurement

Grades 4–6. Area, perimeter, volume. Runs parallel to ratios in practice — completed before pre-algebra to ensure geometric intuition is in place for coordinate graphing. Proof: 80%+ on Khan Academy Geometry units or teacher-graded assessment.

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3 milestones

  1. 1Calculate area and perimeter of shapes
  2. 2Calculate volume, angles, and use coordinate planes
  3. 3Pass Geometry and Measurement assessment at 80%
Learning

Pre-Algebra

Grades 6–8. Variables, integers, and linear equations. The bridge between arithmetic and algebra. Students who rush past this phase account for the majority of Algebra 1 retakes. Proof: 80%+ on Khan Academy Pre-algebra mastery meter, or teacher-graded assessment.

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3 milestones

  1. 1Work with variables, expressions, and order of operations
  2. 2Solve equations and inequalities
  3. 3Pass Pre-Algebra assessment at 80%
Learning

Algebra 1

Grades 7–9. The gateway course. Linear equations, systems, polynomials, and quadratic introduction. Proof: 80%+ on Khan Academy Algebra 1 mastery meter, or teacher-graded Algebra 1 unit test. This is the capstone of the Phase 1 Math track.

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3 milestones

  1. 1Solve linear equations and graph lines
  2. 2Factor polynomials and solve quadratics
  3. 3Pass Algebra 1 assessment at 80%

Free resources for this path

Every resource listed here is free. No affiliate links. No sponsored placements.

The primary resource for this entire path. Each phase maps to a specific Khan Academy course with a built-in mastery meter — the screenshot of 80%+ mastery is the standard proof. All courses are free. Khan Academy also provides personalised practice problems that adjust to the student's level.

Free community and problem sets for students who want deeper challenge beyond the mastery gate. Especially useful at the Pre-Algebra and Algebra 1 phases for students aiming at competition math or advanced coursework.

Free alternative to Khan Academy for practice and explanation. Useful as a second opinion when a student is stuck on a specific concept — different worked examples sometimes click where Khan Academy's approach doesn't.

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