M205

Trigonometric Functions

About This Badge

Why do some real-world phenomena produce graphs shaped like waves? How can trigonometric functions be used to model the rising and falling of the ocean waters each day? Using radian measure, mathematicians have been able to define trigonometric functions, an intriguing function family with unique properties that can also help us to solve problems and model phenomena. In M205 Trigonometric Functions, you will explore the unit circle and develop understanding of how radians are defined. You will explore the properties of trigonometric functions, using graphing applications to aid in your analyses, and find opportunities to use these functions to model real-world situations. Trigonometric functions are useful for careers in a variety of fields, like the sciences, engineering, oceanography, and gaming.

Learning Activities and Alignment Guidance

These resources provide learning activities that can supplement traditional coursework as well as guidance for aligning coursework to this badge.

Standards M205 2024

Points of Emphasis in M205

Introduction to Alignment Guidance Final

M205 Alignment Guidance x

Learning Principles 2024

Annotated Examples M205 2024

Student-facing Assignment Templates M205

Assessment: Pre-/Post-Task

These tasks should be administered to students before launching instruction on a new badge and again once badge instruction is coming to a close. These tasks are designed to support students' understanding of what they have learned from the beginning to the end of each badge and to support teachers in making relevant, timely decisions about how they support student learning.

M205 Pre Post Scoring Guide

M205 Student Facing Post Task

M205 Student Facing Pre Task

M205 Task Analysis Class Summary

Assessment: Performance Tasks

There are two available performance tasks for this badge. Each task has a teacher guide, scoring guidance, and student versions (docx format) in English and Spanish. Where available, samples of student work are also provided.

Evidence of Learning 2024

Assessment: Portfolio Resources

IM Portfolio M205

Assessment: Professional Development Resources

M205 Baseline PL

Baseline PL Handout M205

Baseline PL Handout M205

M205 Baseline PL

Content and Practice Expectations

These resources explain the core content and practice expectations for this badge as well as how this badge aligns to content standards.