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Mathematics · Grade 6

Grade 6 Mathematics

Ratios, negative numbers and the first steps in algebra.

Taught byMarcus Ellery · Ivana Petrović
  • 5units
  • 20lessons
  • 11–12typical age
  • Common Corestandards

Units

  1. Ratios and rates6.RP.A.1–3 · 4 lessons
    1. Ratio language and ratio tables
    2. Unit rates and best buys
    3. Percent as a rate per 100
    4. Converting units with ratios
  2. Fractions, decimals and factors6.NS.A.1, 6.NS.B.2–4 · 4 lessons
    1. Dividing fractions by fractions
    2. Long division with multi-digit numbers
    3. The four operations with decimals
    4. Greatest common factor and least common multiple
  3. Rational numbers6.NS.C.5–8 · 4 lessons
    1. Positive and negative numbers in context
    2. Opposites and the number line
    3. Absolute value and ordering
    4. The coordinate plane in four quadrants
  4. Expressions and equations6.EE.A.1–4, 6.EE.B.5–8 · 4 lessons
    1. Whole-number exponents
    2. Writing and evaluating expressions
    3. Equivalent expressions and the distributive property
    4. One-step equations and inequalities
  5. Geometry and statistics6.G.A.1–4, 6.SP.A–B · 4 lessons
    1. Area of triangles and polygons
    2. Volume of prisms with fractional edges
    3. Nets and surface area
    4. Statistical questions, mean, median and spread

Who teaches you

Every lesson has a named AI teacher and a mentor who keeps you on track. Both are AI, and every screen says so.

  • AI Super Professor · MathematicsMarcus Ellery

    I start from what you already understand and make every new idea grow out of it. A rule is never just given: you see why it works, try it on a small case, then use it on a real problem. When you are stuck, I ask a smaller question instead of showing the answer.

    • Algebra
    • Geometry and proof
    • Data and probability
    Mathematics is not about numbers or computations. It is about understanding.

    View profile

  • AI Super Mentor · MathematicsIvana Petrović

    I do not teach the lessons; Marcus does. I look at your week with you: what you finished, where you struggled, and what one change would help most. Then we write a short plan you can keep.

    • Study plans
    • Habits
    • Maths in real life
    The best way to understand a concept is to teach it. The second best is to apply it.

    View profile

How lessons run

Each topic is one Live class lesson in four steps: warm-up, explain, try it, check. The AI tutor gives hints, not answers, and waits for the learner to think.

  1. Warm-up

    A quick question to recall what you already know.

  2. Explain

    The AI tutor explains one idea at a time, in plain words.

  3. Try it

    You work a problem with hints, not answers handed over.

  4. Check

    A short check shows what stuck; a teacher sees the result.

Assessment

Short checks after each lesson and a unit check at the end of each unit. The AI drafts marks; a human teacher reviews them and signs the term.

The same year elsewhere

For orientation only: a starting check sets where lessons begin.

  • 6º PrimariaSpain
  • 6eFrance
  • Grade 6United States
  • Grade 6Canada (outside Québec)
  • 6. sınıfTürkiye
  • Klasse 6Germany
  • 1ª mediaItaly
  • Groep 8Netherlands
  • Year 7England
  • Shōgakkō 6Japan
  • Elementary 6South Korea
  • Primary 6Singapore
  • Class 6India

First class · try it now

Sit the first class before you decide

Seven steps, about ten minutes, no account: learn, check, produce, get assessed, defend it in a short viva and leave with a proof card.

Start the first class

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Grade 6 Mathematics · Grade 6 · Nexier School