Real Numbers & Algebraic Reasoning
Classify real numbers, justify each step with a named property, reason with units, and write and evaluate expressions.
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📚 Scholi · Grade 9
Mathematics
Units follow the order of the Scholi programme. Pick a topic and start.
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- Units
- 13
- Topics
- 17
- Ready
- 17
Course plan
Units and topics
Go in order, or start from any topic.
ReadyIn the labPlanned
Unit 1Ready
Real Numbers & Algebraic Reasoning
1 topic · 1 topic open
Unit 2Ready
Linear Equations & Inequalities
1 topic · 1 topic open
Linear Equations & Inequalities
Solve multi-step and literal equations, compound and absolute-value inequalities, and graph solutions in two variables.
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Unit 3Ready
Linear Functions & Modeling
1 topic · 1 topic open
Linear Functions & Modeling
Find domain and range, write a line in three forms, build parallel and perpendicular lines, and model with piecewise functions.
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Unit 4Ready
Systems of Equations & Inequalities
1 topic · 1 topic open
Systems of Equations & Inequalities
Solve systems by substitution and elimination, handle three unknowns, graph feasible regions, and optimize an objective.
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Unit 5Ready
Exponents & Exponential Functions
1 topic · 1 topic open
Exponents & Exponential Functions
Use rational exponents and radicals, apply the laws of exponents, model growth and decay, and compare linear vs. exponential.
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Unit 6Ready
Sequences & Patterns
1 topic · 1 topic open
Sequences & Patterns
Identify arithmetic and geometric sequences, write recursive and explicit formulas, and model linear vs. exponential patterns.
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Unit 7Ready
Polynomials & Factoring
1 topic · 1 topic open
Polynomials & Factoring
Classify, add, subtract, and multiply polynomials, use special products, and factor GCFs, trinomials, and differences of squares.
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Unit 8Ready
Quadratic Functions
1 topic · 1 topic open
Quadratic Functions
Graph parabolas, find the vertex, axis, and intercepts, convert between standard, vertex, and factored form, and describe transformations.
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Unit 9Ready
Solving Quadratic Equations
1 topic · 1 topic open
Solving Quadratic Equations
Solve quadratics by factoring, square roots, completing the square, and the quadratic formula, and read the discriminant.
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Unit 10Ready
Radical Equations
1 topic · 1 topic open
Radical Equations
Solve equations with variables inside square roots, isolate the radical, square both sides, and detect extraneous solutions.
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Unit 11Ready
Algebraic Fractions & Equations
1 topic · 1 topic open
Algebraic Fractions & Equations
Simplify fractions by factoring out GCFs and quadratics, multiply and divide terms, and solve rational equations. Interactive Grade 9 lesson with practice.
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Unit 12Ready
Descriptive Statistics
1 topic · 1 topic open
Descriptive Statistics
Build box plots and histograms, compute standard deviation, fit a regression line, and read two-way tables for association.
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Unit 13Ready
Extra resources
5 topics · 5 topics open
Basics of Trigonometry
Right triangles, Pythagorean Theorem, and classification. Interactive lesson with graded practice.
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Distance & Midpoint Master
Distances and midpoints in 1D and 2D with full cheat sheet. Interactive lesson with graded practice.
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Intro to Functions
The first function lesson — notation, evaluation, domain, range, and the nine parent shapes. Interactive lesson with graded practice.
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Mathlograph
Animated visualizer for 12 function families with step-by-step property guides and voice narration. Interactive lesson with graded practice.
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Sample Spaces
List, table & tree diagrams and the Fundamental Counting Principle. Interactive lesson with graded practice.
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New units appear here as they are added. The order follows the Scholi programme.
In every topic
How a topic works
Four parts. You see it with a tool, then try it, then practise.
Learn
Starts with a scene. You move in short steps.
Explore
You use the tool yourself. Break it, fix it.
Practice
Easy, medium, hard. Questions with the same tool.
Summary
Rules, words and formulas on one page.