ACT Math

Lesson Plan

Graphs of sin, cos, tan (amplitude, period, phase shift)

Goals / Objectives

Match the graph of a sine, cosine or tangent function with its equation: read the midline, amplitude, period and phase shift from the graph, and write or select the equation y = A sin(Bx + C) + D (or its cosine equivalent) that fits

Identify the base graphs of y = sin(x), y = cos(x), and y = tan(x) from their key points (intercepts, maxima, minima, asymptotes), and state each one's period, range and whether it has an amplitude

Identify amplitude, period, phase shift, and vertical shift from the general form y = A sin(Bx + C) + D and its cosine form, and the period pi/|B| of y = tan(Bx)

Identify the graph of a transformed sinusoid from its equation by its midline, range, period and the position of a peak or upward midline crossing

Standards

F 705. Match graphs of basic trigonometric functions with their equations F 704. Exhibit knowledge of unit circle trigonometry

Academic Vocabulary

Not in our source material

Enrichment

This lesson’s brief has no Differentiation

Accommodations

Not in our source material

Anticipatory Set / Bell Work

Sign in to see this

Check for Understanding

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

Guided Practice

Independent Practice

Pacing

This lesson’s brief has no Pacing

Lesson plan — Graphs of sin, cos, tan (amplitude, period, phase shift) | K12worX