Teaching Angle Pairs
In middle school, children learn to identify angle pairs, including supplementary, complementary, vertical, and adjacent angles. They then learn to use the relationships of angle pairs to ...
Geometry
Teaching Logic in Geometry
When building arguments, mathematically fluent students can understand and use definitions, assumptions, and facts. They can justify their statements and conclusion by relying on logic. This ...
Proving Theorems in Geometry
When students start learning about proving theorems, they already have some knowledge of what a theorem is. For example, they’ve come across the Pythagorean Theorem in earlier grades. Much of ...
Teaching Bisectors in Triangles
In earlier lessons, students have familiarized themselves with perpendicular and angle bisectors. They’re now ready to learn about bisectors in triangles, and more specifically, how to apply ...
Teaching Perpendicular and Angle Bisectors ⋆ Free Lesson & Downloads
In geometry, students learn about perpendicular and angle bisectors. They become proficient in applying theorems about perpendicular bisectors, as well as in applying theorems about angle ...
Triangle Congruence by ASA and AAS ⋆ Free Lesson & Downloads
After students familiarize themselves with congruent figures, they move on to triangle congruence by ASA and AAS. More specifically, they learn how to prove triangles are congruent using ASA ...
Teaching Congruent Figures ⋆ Tips, Free Lesson & Downloads
When learning about congruent figures in geometry, students learn how to label shapes with tick marks to show side and angle congruence. Though these beginning lessons on congruent figures ...
Problems with meeting people!
Find all positive integers $n < 10^{100}$ for which simultaneously $n$ divides $2^n$, $n-1$ divides $2^n - 1$, and $n-2$ divides $2^n - 2$.Determine all solutions in non-zero integers $a$ and ...
Some Geometry Problems for everyone to try!
These problems are INMO~ish level. So trying this would be a good practice for INMO! Let $ABCD$ be a quadrilateral. Let $M,N,P,Q$ be the midpoints of sides $AB,BC,CD,DA$. Prove that $MNPQ$ ...
EGMO 2024 P2
This problem is the same level as last year's P2 or a bit harder, I feel. No hand diagram because I didn't use any diagram~ (I head solved it) Problem: Let $ABC$ be a triangle ...
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