Mathematics · Grade 7

Grade 7 Mathematics

Proportional reasoning, signed numbers, equations and chance.

Taught byMarcus Ellery · Ivana Petrović

5units
20lessons
12–13typical age
Common Corestandards

Units

Unit 1: Proportional relationshipsStandards: 7.RP.A.1–3 · 4 lessons
1. Unit rates with fractions
2. Recognising proportional relationships
3. The constant of proportionality in tables, graphs and equations
4. Percent problems: tax, discount and interest
Unit 2: Operations with rational numbersStandards: 7.NS.A.1–3 · 4 lessons
1. Adding and subtracting integers on the number line
2. Multiplying and dividing signed numbers
3. Terminating and repeating decimals
4. Multi-step problems with rational numbers
Unit 3: Expressions, equations and inequalitiesStandards: 7.EE.A.1–2, 7.EE.B.3–4 · 4 lessons
1. Combining like terms and factoring
2. Rewriting an expression to understand it
3. Two-step equations
4. Two-step inequalities and their graphs
Unit 4: GeometryStandards: 7.G.A.1–3, 7.G.B.4–6 · 4 lessons
1. Scale drawings
2. Drawing triangles from given conditions
3. Circles: circumference and area
4. Angles, area, surface area and volume problems
Unit 5: Statistics and probabilityStandards: 7.SP.A–C · 4 lessons
1. Random sampling and inference
2. Comparing two populations
3. Probability of simple events
4. Compound events and simulations

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.