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Math · Grade 7 · Russian curriculum

Grade 7 math with an AI tutor

Grade 7 is the turning point. Algebra with variable expressions and geometry with proofs arrive. Students who still have holes in fractions and operations with numbers start falling behind right here.

Scope of preparation

How much material is behind grade 7

Algebra overtakes arithmetic for the first time: 100 solution methods versus 59. Functions and the first probability problems are added. The number of solution methods doubles in a year — from 127 to 290.

290
solution methods
63
distinct skills
2,023
worked examples
137
common mistakes the system recognizes

The numbers are counted across the topics available in grade 7: the year’s curriculum plus everything it builds on. A solution method can belong to several sections at once, so the section values should not be added up into a total.

  • Algebra

    100 methods

    expressions, equations, inequalities, transforming expressions

  • Arithmetic

    59 methods

    percentages, fractions, proportions, motion and work problems

  • Geometry

    35 methods

    shapes, areas, congruence and similarity criteria, proofs

  • Numbers and structures

    29 methods

    divisibility, fractions, exponents, properties of numbers

  • Functions

    28 methods

    graphs, properties, reading a relationship from a picture

  • Combinatorics and probability

    28 methods

    listing all the options, the probability of an event

  • Statistics

    18 methods

    tables, charts, the mean

  • Mathematical foundations

    2 methods

    the logic of statements and what counts as a proof

This year’s topics

Topics covered in grade 7

26 topics are introduced in grade 7 itself. Each one builds on what came before — that is why the count above shows 290 solution methods: it also includes the necessary foundation from earlier years.

  • Rational numbers
  • Powers with natural-number exponents
  • Monomials
  • Operations with polynomials
  • Adding and subtracting polynomials
  • Special product formulas
  • Factoring polynomials
  • Equivalent transformations of expressions
  • Rational expressions
  • Working with formulas: solving for a variable
  • Linear equations in two variables
  • Systems of linear equations
  • Systems of equations
  • Intervals on the number line
  • Functions and their graphs
  • The graph of a function
  • Linear functions
  • Domain of a function
  • Points and lines
  • Angles formed by intersecting lines and parallel lines
  • Triangles: basic concepts and congruence criteria
  • Probability
  • Basics of probability theory
  • Averages and measures of spread
  • Sets and the inclusion–exclusion principle
  • Truth of statements and disproof by counterexample

The list comes from the platform’s knowledge base rather than being written for the website: the lessons, which are in Russian, follow these same topics.

You can learn the definitions and rules from these topics in the free “Build the Definition” study tool (in Russian).

What it costs

Two ways to study

Base helps with the current school curriculum; Exam adds preparation for the OGE and EGE — Russia’s state exams after grades 9 and 11.

StudyNinja Base

For everyday schoolwork

₽2,490/mo

per child

  • It’s clear what to do right now
  • A lesson is 10 minutes and works on a phone
  • Explained in the way that makes sense to you
  • You can see how many steps are left to your goal
Start for free

First two weeks free

StudyNinja Exam

When the OGE or EGE exam is ahead

₽3,990/mo

per child

  • Everything in Base
  • Walkthroughs of problems from real OGE and EGE papers
  • You can see the score you’re heading for
  • It’s clear which topics are pulling your result down
Start for free

First two weeks free

The subscription can pay for itself: for everyone who subscribes through your link, you get back 15% of what they pay. How Invite & Earn works

Lessons, exercises and the tutor’s explanations on the platform are in Russian and follow the Russian school curriculum. The platform interface is available in English.

Questions about grade 7 math

The curriculum doubles in size: from 127 solution methods in grade 6 to 290 in grade 7. At the same time, algebra with variable expressions and geometry with proofs begin — two fundamentally new ways of thinking. It isn’t that the student got worse; it’s that more was added in one year than in the previous two.

Start with a knowledge check

It shows which topics are holding the student back in grade 7 — including those left over from earlier years — and builds a plan around exactly those.