30 free lessons · Worked examples and practice
Grade 10 math
Bring algebra and geometry into the same conversation. Explore transformations, similarity, functions, and probability with attention to the conditions under which a result is valid.
Your study guide
What you will explore.
- Reason about similarity and transformations
- Work with functions and algebraic models
- Interpret geometric measures and probability
Before you begin
Review linear and quadratic expressions, coordinate geometry, and basic angle facts. Read the prerequisite guidance for each topic before beginning.
Review Grade 9How to study these lessons
Draw and label the situation before using a formula. Separate facts supplied by the question from assumptions you introduce, and test whether a different case would change the conclusion.
Work at your own pace. Open a hint when you need it, then try again before revealing the complete explanation.
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Your Grade 10 lesson collection.
The lessons appear in their suggested study order. Choose the first lesson for a starting point, or use the search and subject filters to review a particular skill. Read the prerequisites whenever you change topics.
Showing 12 of 30 matching lessons · All free
GeometryGrade 10 · Intermediate 12 min
Disprove a universal claim with one example
Distinguish a confirming example from a decisive counterexample.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
A true statement need not have a true converse
Distinguish a conditional, its converse, and its contrapositive.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Prove the triangle angle sum with a parallel line
Use alternate interior angles to justify the Euclidean triangle sum.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Use an included angle in a congruence argument
Apply side-angle-side when the angle lies between the known sides.
Read, practice, and reflectTrigonometryGrade 10 · Intermediate 12 min
See why side-side-angle can give two triangles
Use sine symmetry to identify two valid triangle configurations.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Use angle agreement to scale triangles
Apply AA similarity and match corresponding sides.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Dilate from a center other than the origin
Scale a displacement from a specified dilation center.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Derive a rotation from two intersecting reflections
Explain why two reflections in intersecting lines produce a rotation by twice their oriented angle.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Two parallel reflections create a translation
Track a point through two reflections in parallel lines.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Find the possible lengths of a third side
Use strict triangle inequalities to describe a feasible interval.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Connect midpoints to find a half-size parallel segment
Derive a triangle midsegment's direction and length.
Read, practice, and reflectGeometryGrade 10 · Intermediate 12 min
Locate the centroid along a median
Use the two-to-one division of a triangle's medians.
Read, practice, and reflect