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Math · Grade 9 · Russian curriculum

Grade 9 math with an AI tutor

Grade 9 runs in two modes at once: the new curriculum and preparation for the OGE — Russia’s state exam after grade 9 — which tests everything from grade 5 on. Hence the feeling of overload: you have to study forward and backward at the same time.

Scope of preparation

How much material is behind grade 9

Progressions, vectors and coordinates are added — analytic geometry brings 47 solution methods right away. Trigonometry appears for the first time, so far only in the right triangle.

433
solution methods
124
distinct skills
3,031
worked examples
211
common mistakes the system recognizes

The numbers are counted across the topics available in grade 9: 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

    147 methods

    expressions, equations, inequalities, transforming expressions

  • Geometry

    66 methods

    shapes, areas, congruence and similarity criteria, proofs

  • Functions

    63 methods

    graphs, properties, reading a relationship from a picture

  • Analytic geometry

    47 methods

    coordinates, vectors, distances

  • Arithmetic

    37 methods

    percentages, fractions, proportions, motion and work problems

  • Combinatorics and probability

    33 methods

    listing all the options, the probability of an event

  • Numbers and structures

    22 methods

    divisibility, fractions, exponents, properties of numbers

  • Statistics

    12 methods

    tables, charts, the mean

  • Mathematical foundations

    9 methods

    the logic of statements and what counts as a proof

  • Trigonometry

    6 methods

    sine, cosine, tangent, identities and equations

This year’s topics

Topics covered in grade 9

21 topics are introduced in grade 9 itself. Each one builds on what came before — that is why the count above shows 433 solution methods: it also includes the necessary foundation from earlier years.

  • Arithmetic progressions
  • Geometric progressions
  • The quadratic function and its graph
  • Power functions
  • Powers with rational exponents
  • Rational functions
  • Inverse functions
  • Monotonicity
  • Functions and their properties
  • Rational inequalities
  • Absolute value inequalities
  • Absolute value equations
  • Inequalities and systems in two variables
  • Vectors
  • Equation of a circle
  • Solving triangles: the laws of sines and cosines
  • The unit circle
  • Radian measure
  • Basics of combinatorics
  • Mathematical induction
  • Proof techniques: pigeonhole principle, invariants, bound plus example

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).

Preparing for the OGE math exam?

The grade 9 curriculum is only part of the exam. The OGE also tests what was covered earlier, so preparation follows a separate route: by exam task number, not by textbook chapter.

OGE exam prep

What it costs

Two ways to study

Base helps with the current school curriculum; Exam adds preparation for the OGE and EGE exams.

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 9 math

The curriculum is progressions, the quadratic function, vectors and coordinates — that is, what’s new this year. The OGE tests everything from grade 5 on, and most of the preparation goes not into new material but into what was never understood earlier. So these are two different routes, even though the math is the same.

Start with a knowledge check

It shows which topics are holding the student back in grade 9 — including those left over from earlier years — and builds a plan around exactly those.