Tools of Geometry
Points, lines, and planes; the segment- and angle-addition postulates; angle pairs; and the midpoint and distance formulas.
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📚 Scholi · Grade 10
Mathematics
Units follow the order of the Scholi programme. Pick a topic and start.
ReadyEnglish
- Units
- 14
- Topics
- 25
- Ready
- 25
Course plan
Units and topics
Go in order, or start from any topic.
ReadyIn the labPlanned
Unit 1Ready
Tools of Geometry
1 topic · 1 topic open
Unit 2Ready
Logical Reasoning & Proof
1 topic · 1 topic open
Logical Reasoning & Proof
Converse, inverse, and contrapositive; counterexamples; the laws of detachment and syllogism; two-column and paragraph proofs.
Written inEnglish
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Unit 3Ready
Angle Relationships Lab
1 topic · 1 topic open
Angle Relationships Lab
Complementary, supplementary, and vertical angles; parallel lines cut by a transversal; the triangle angle-sum and exterior-angle theorems.
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Unit 4Ready
Parallel & Perpendicular Lines
1 topic · 1 topic open
Parallel & Perpendicular Lines
Slope, slope-intercept / point-slope / standard forms, parallel and perpendicular slopes, and writing equations of lines.
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Unit 5Ready
Triangles & Congruence
1 topic · 1 topic open
Triangles & Congruence
Classify triangles, the triangle-inequality theorem, SSS/SAS/ASA/AAS/HL congruence, CPCTC, and the triangle centers.
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Unit 6Ready
Similarity & Right-Triangle Trig
1 topic · 1 topic open
Similarity & Right-Triangle Trig
Triangle similarity, geometric means, sine/cosine/tangent, inverse trig, and angles of elevation and depression. Interactive Grade 10 lesson with practice.
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Unit 7Ready
Quadrilaterals & Polygons
1 topic · 1 topic open
Quadrilaterals & Polygons
Polygon angle-sum theorems and the properties of parallelograms, rectangles, rhombuses, squares, trapezoids, and kites.
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Unit 8Ready
Circles
1 topic · 1 topic open
Unit 9Ready
Coordinate Geometry & Transformations
1 topic · 1 topic open
Coordinate Geometry & Transformations
Translations, reflections, rotations, and dilations; symmetry; perimeter and area on the grid; and coordinate proofs.
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Unit 10Ready
Surface Area & Volume
1 topic · 1 topic open
Surface Area & Volume
Surface area and volume of prisms, cylinders, pyramids, cones, and spheres; composite solids; and Cavalieri's principle.
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Unit 11Ready
Probability with Geometry
1 topic · 1 topic open
Probability with Geometry
Geometric probability from length and area, the addition and multiplication rules, conditional probability, and independence.
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Unit 12Ready
Geometric Constructions
1 topic · 1 topic open
Geometric Constructions
Formal constructions with compass and straightedge: copying segments and angles, bisectors, perpendicular and parallel lines, and inscribed polygons.
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Unit 13Ready
Probability Lab
1 topic · 1 topic open
Probability Lab
Master probability from sets and sample spaces to compound events. Interactive lesson with graded practice.
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Unit 14Ready
Extra resources
12 topics · 12 topics open
Calculus Gateway
Build the five pre-calculus foundations needed before calculus. Interactive lesson with graded practice.
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Cube Root Function Lab
The flat S-curve — domain, inverse with x³, and solving. Interactive lesson with graded practice.
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Cubic Function Lab
Explore the S-curve — graphs, transformations, and solving. Interactive lesson with graded practice.
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Equation Lab
Solve 7 equation types using a balance scale visualizer. Interactive lesson with graded practice.
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Factoring Lab
Visualizer, cheat sheet, and graded practice for factoring. Interactive lesson with graded practice.
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Function Operations Lab
Add, multiply, compose, and find domains of functions. Interactive lesson with graded practice.
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Inequality Lab
Number lines, sign-flip rules, compound & absolute value inequalities. Interactive lesson with graded practice.
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Linear Function Lab
Master f(x) = mx + b — slope, graphs, equations & solving. Interactive lesson with graded practice.
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Quadratic Function Lab
All 3 quadratic forms, vertex analysis, and 3 solving methods. Interactive lesson with graded practice.
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Solving Equations
Linear, absolute value, and quadratic equations step by step. Interactive lesson with graded practice.
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Square Root Function Lab
Explore f(x) = a√(x−h)+k — transformations, domain, range. Interactive lesson with graded practice.
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Systems Lab
Linear systems — graphing, substitution & elimination. Interactive lesson with graded practice.
Written inEnglish
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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.