Math Magic: The Linear Function Adventure!

9th Grade Project 4 weeks

Math Magic: The Linear Function Adventure!

NATHAN W

M.9-12.F-IF.A.2

M.9-12.F-LE.A.2

Critical Thinking & Problem Solving

Effective Communication

Academic Mindset

+ 2 more

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Purpose

This project aims to immerse 9th-grade students in understanding linear functions through real-world applications and hands-on experiences. It encourages them to explore the implications of function notation and linear models, fostering their critical thinking and problem-solving skills. Students will develop their content expertise, communicate findings effectively, and engage in meaningful self-directed learning by crafting digital portfolios and participating in exhibitions.

Learning goals

Students will develop and apply their understanding of linear functions through real-world modeling activities. They will explore the concepts of domain and range, construct functions, and analyze relationships using graphs and models. By engaging in problem-solving and communication, students will interpret function notations within practical contexts while participating in the dynamic 'Math in Motion' project. Throughout the project, students will refine their critical thinking by evaluating, presenting, and reflecting on their learning experiences as documented in their digital portfolios.

Standards

[Wisconsin] M.9-12.F-IF.A.2 - Use function notation, evaluate functions. and interpret statements that use function notation in terms of a context. (F2Y)
[Wisconsin] M.9-12.F-LE.A.2 - Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). (F2Y)

Competencies

Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.
Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.

Products

Throughout this learning experience, students will create and refine digital portfolios that capture their exploration and understanding of linear functions in real-world scenarios. They will develop interactive simulations presenting real-world situations, demonstrating how linear functions can be applied and manipulated to solve complex problems. By the end, each student will present a compelling 'Math in Motion' exhibit, showcasing their dynamic models and creative interpretations of data through graphs and equations as they relate to changes over time.

Launch

Begin the project with a 'Math in Motion Day,' where students collaborate in dynamic activities requiring them to measure, analyze, and graph physical movements such as running or jumping. Each student will record their data, using it to create linear models that visually demonstrate their interpretations of real-world functions. This interactive experience sets the stage for critical analysis and practical application of functions in the upcoming four-week timeframe.

Exhibition

Students will host a 'Math in Motion' exhibition where they present their digital portfolios showcasing real-world linear function models. They will interact with peers, parents, and community members while demonstrating their problem-solving strategies through dynamic presentations. Feedback stations will allow visitors to provide insights, fostering an environment of collaboration and reflection.

Learning Journey

Ask

Students will explore and define the real-world problem of tracking changes over time using linear functions by analyzing various datasets and identifying constraints related to these functions, setting the stage for further exploration in subsequent phases.

Days 1 - 3

Tracking Real-World Changes

Launch 30m

Data Collection and Initial Graphing

Activity 45m

Understanding Function Notation through Context

Activity 45m

Linear Functions Dataset Analysis

Assessment

Imagine

Students will brainstorm innovative real-world scenarios that can be modeled using linear functions, sketch preliminary graphs, and collaboratively discuss potential outcomes and applications, building upon their initial activities to pave the way for detailed planning in subsequent phases.

Days 3 - 5

Real-World Scenario Brainstorm

Activity 60m

Graph Sketch and Peer Discussion

Activity 45m

Collaborative Feedback Session

Deliverable 45m

Collaborative Graph Presentation

Assessment

Plan

Students will collaboratively design a detailed plan to construct linear function models based on their chosen real-world scenarios by selecting relevant datasets, defining variables, and mapping out the steps needed to demonstrate their understanding of function notation and domain-range relationships effectively.

Days 5 - 7

Scenario and Dataset Selection Workshop

Activity 60m

Domain and Range Mapping Exercise

Activity 60m

Peer Feedback on Linear Function Plans

Deliverable 45m

Linear Function Modeling Presentation

Assessment

Create

Students will construct digital prototypes of linear functions illustrating real-world scenarios, analyzing their initial outcomes and adjusting their models based on peer and teacher feedback over three days.

Days 7 - 9

Real-World Application Exploration

Activity 60m

Peer Feedback and Iteration Workshop

Deliverable 45m

Digital Prototype Presentation

Assessment

Test

Students will test their digital portfolios by engaging in peer reviews to validate their linear function models and graphs, focusing on accuracy, clarity, and application of real-world scenarios.

Days 9 - 11

Peer Review Workshop

Deliverable 50m

Interactive Self-Assessment and Reflection Activity

Activity 45m

Peer Review and Reflection Presentation

Assessment

Self-assessment and Final Portfolio Submission

Assessment

Improve

Students will critically evaluate their digital portfolio representations of linear functions, incorporating peer and teacher feedback to refine their models and presentations, ensuring clarity and accuracy in their mathematical communication and function interpretations before advancing to the sharing phase.

Days 11 - 13

Peer Review Workshop

Deliverable 45m

Refinement and Practice Session

Activity 60m

Digital Portfolio Presentation Critique

Assessment

Share

Students will present their digital portfolios and simulation models to classmates and community members, articulate their insights and growth in understanding linear functions through engaging presentations, and reflect on feedback to deepen their awareness of their learning achievements and future applications.

Days 13 - 14

Portfolio Presentation Rehearsal & Feedback

Deliverable 45m

Mock Presentation to Community Members

Activity 45m

Digital Portfolio Presentation & Reflection

Assessment

Plan

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Math Magic: The Linear Function Adventure!

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