Integrated Math III · Week 16 · Exponential, Logarithmic, and Inverse Functions
Exponential Choices
Compound interest on savings and on credit card debt.
- Students will
- Students write and evaluate exponential models for savings and credit card debt and compare their growth factors.
- SEL skill
- Weigh the long term consequences of two choices using numbers
- What it looks like
- Students practice making careful choices by looking at long term consequences before deciding.
- Content focus
- Exponential growth: savings and debt
- Format
- Collaborative analysis
Responsible decision-making
Responsible decision-making is choosing in a caring, safe, and thoughtful way after thinking about the consequences. More responsible decision-making activities
What you get
A teacher guide with what to say, step by step, plus student pages and a supports page for students with diverse learning needs, including those with IEPs. Print or Project it, or assign it in Google Forms and Google Docs for Google Classroom. Your first 10 activities are free.
Standards
- F-IF.8b: High School Functions: Interpreting Functions, standard 8b
- F-LE.2: High School Functions: Linear, Quadratic, and Exponential Models, standard 2
- Standard for Mathematical Practice: MP4 Model with mathematics
- CA Mathematics Framework (2023): Exploring Changing Quantities
- Traditional course: Algebra II
Fits these textbook chapters
- CCSS Integrated Pathway Mathematics III, Unit 4A: Mathematical Modeling of Inverse, Logarithmic, and Trigonometric Functions
- Carnegie Learning Integrated Math III, Module 2: Developing Structural Similarities
- Carnegie Learning Integrated Math III, Module 3: Inverting Functions
- CPM Core Connections Integrated III, Chapter 5: Inverses and Logarithms
- CPM Core Connections Integrated III, Chapter 10: Series
- Savvas enVision Integrated Mathematics III, Topic 5: Exponential and Logarithmic Functions
Textbook names are used only to help you find activities that fit what you teach. RoseThread Connect is not affiliated with these publishers.
More responsible decision-making activities for Integrated Math III
- Is It Real or Random? Responsible decision-makingSimulation to test whether a result could be chance.
- Margin of Error Responsible decision-makingReading polls honestly, including uncertainty.
- Evaluating Reports Responsible decision-makingJudging data based claims in news and social media.
- Polynomial Identities Responsible decision-makingProving identities and finding patterns in Pythagorean triples.
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RoseThread Connect activities are drafted with the help of AI and shaped by educators. Students never have to share anything personal. Our five SEL skills are informed by CASEL's SEL Framework; RoseThread Learning is not affiliated with or endorsed by CASEL.