Digital SAT Math

Lesson Plan

Special right triangles: 45-45-90 and 30-60-90

Goals / Objectives

Find any missing side of a 45-45-90 or 30-60-90 triangle given one side

Match each side to its place in the ratio: 1 : 1 : sqrt(2) with sqrt(2) on the hypotenuse; 1 : sqrt(3) : 2 with the short leg opposite 30 degrees and the long leg opposite 60 degrees

Derive the 45-45-90 ratio by cutting a unit square along its diagonal

Derive the 30-60-90 ratio by bisecting an equilateral triangle

Identify a special right triangle embedded in a larger figure (square, equilateral triangle, rectangle, regular hexagon) and use it to find a length

Standards

"Solve problems in a variety of contexts using: ... • properties of special right triangles."

Academic Vocabulary

Not in our source material

Materials

Enrichment

This lesson’s brief has no Differentiation

Accommodations

Not in our source material

Anticipatory Set / Bell Work

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Check for Understanding

This lesson’s brief has no Formative Assessment or Assessment Ideas

Guided Practice

Independent Practice

Pacing

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