Help your geometry students understand the “why” behind the algorithms for special right triangles with this 7-page investigation and guided notes activity. Your students will use the Pythagorean Theorem and the properties of isosceles and equilateral triangles to discover how to solve for any side of a 45-45-90 and 30-60-90 triangle. Clear diagrams and step-by-step algebraic proofs allow students to develop the foundational understanding for working with these common right triangles, ensuring a smooth transition to the later study of trigonometry. Seven-page resource can be split up and taught over multiple class periods if needed, or use as independent study for test preparation later in the semester. 

After proving the algorithms with your class, give them the opportunity to show off their new skills with this two-page worksheet and BONUS poster/anchor chart! Given the measure for one side of the triangle, your students will use the special properties of the 45-45-90 and 30-60-90 triangles to solve for the remaining sides. The worksheet contains a variety of side measures for a total of 18 problems to solve (8 of the 45-45-90 triangle and 10 of the 30-60-90 triangle), and page 1 contains easier examples than page 2. Perfect for giving students independent practice or homework after teaching the concept, or use it as a review activity before summative testing. A BONUS poster/anchor chart is included which demonstrates the rules visually using clear diagrams and easy notation, making this sometimes confusing concept accessible to all. A diagram is shown for each given side possibility for straightforward solving.

Designed to address Common Core Math Standards HSA-CED.A.4, HSA-REI.A.1 and HSG-CO.C.10, this money-saving bundle resource is perfect for students in Geometry or Algebra 2 but can be used for review or reteaching in higher-level math classes. Full keys included. Error-free money-back guarantee!