M204

Exponential and Logarithmic Functions and Equations

About This Badge

How can we measure something that’s growing really fast, like the spread of a virus or the energy of an earthquake? The magnitude of a situation helps determine how quickly it grows or changes. In M204 Exponential and Logarithmic Functions and Equations, you’ll explore powerful math tools called exponential and logarithmic functions that help us understand situations where numbers grow (or shrink) by great amounts. You’ll learn how exponents and logarithms are connected, like opposite operations that undo each other. You’ll also figure out how to read their graphs, solve equations using these tools, and understand what special numbers like "e" mean in real-world contexts. These ideas may sound complex, but you’ll use simple rules, technology, and real examples to make sense of them. By the end of this badge, you’ll see how this kind of math is used in careers like medicine, forensic science, and finance.

Suggested prerequisites for this badge: M103 Modeling with Functions of Quadratic Type; M104 Modeling with Functions of Exponential Type.

This badge is suggested as a prerequisite for: Precalculus and Calculus.

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 M204 2024

Points of Emphasis in M204

Introduction to Alignment Guidance Final

M204 Alignment Guidance x

Learning Principles 2024

Annotated Examples M204 2024

Student-facing Assignment Templates M204

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.

M204 Pre Post Scoring Guide

M204 Student Facing Post Task

M204 Student Facing Pre Task

M204 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 M204

Assessment: Professional Development Resources

M204 Baseline PL

Baseline PL Handout M204

Baseline PL Handout M204

M204 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.