Illustrative Math Alignment: Grade 7 Unit 2

In this Slide Show, apply concepts of linear functions to the context of converting Celsius and Fahrenheit temperatures.

Note: The download is a PPT file.

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In this Slide Show, use the Desmos graphing calculator to explore absolute value functions. To see the complete collection of Desmos Resources click on this link.

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In this Slide Show, use the Desmos graphing calculator to explore linear functions. To see the complete collection of Desmos Resources click on this link.

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In this Slide Show, learn about graphs of linear functions.

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In this Slide Show, learn about linear function models.

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In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this Slide Show, linear functions are graphed. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

This collection of clip art images includes images of 3D figures and composite figures.

This collection of clip art images includes images of 3D figures and composite figures.

This collection of clip art images includes images of 3D figures and composite figures.

Topic

Linear Functions

Description

In this series of math clip art demonstrating applications of linear functions, the business model series offers insight into real-world uses of linear equations. This specific image serves as an introduction, presenting the title "Applications of Linear Functions: Building a Business Model."

Topic

Linear Functions

Description

This math clip art is part of a series illustrating applications of linear functions in business modeling. The image focuses on the production cost of t-shirts, highlighting that each t-shirt costs $10 to produce, including materials and labor.

Topic

Linear Functions

Description

This math clip art continues the series on applications of linear functions in business modeling. The image depicts a sewing machine with t-shirts, introducing the concept of fixed monthly costs in a business, set at $2000 for expenses like rent and utilities.

Topic

Linear Functions

Description

This math clip art is a crucial part of the series on applications of linear functions in business modeling. It presents the equation C = 10x + 2000, which encapsulates the business model we've been building. Here, C represents the total monthly costs, x is the number of t-shirts produced, 10 is the cost per shirt, and 2000 represents the fixed monthly costs.

Topic

Linear Functions

Description

This math clip art continues the series on applications of linear functions in business modeling. It presents a graph of the linear function for cost that we've been developing throughout this series. The image prompts students to consider the domain and range of this function within the context of the t-shirt business.

Topic

Linear Functions

Description

This math clip art is part of a series demonstrating applications of linear functions in business modeling. The image shows a graph of the linear model we've developed, emphasizing its predictive power. It challenges students to use the model to predict the cost of producing 500 t-shirts.

Topic

Linear Functions

Description

This math clip art continues the series on applications of linear functions in business modeling. The image presents a graph and poses a question about determining the number of t-shirts produced given a total monthly expenditure of $5000. This scenario demonstrates how linear models can be used to solve for unknown variables.

Topic

Linear Functions

Description

This math clip art is part of a series illustrating applications of linear functions in business modeling. The image depicts t-shirts with a caption that introduces the concept of limitations in linear models. This encourages critical thinking about the applicability and constraints of mathematical models in real-world scenarios.

Topic

Linear Functions

Description

This math clip art concludes the series on applications of linear functions in business modeling. The image reiterates the limitations of linear models and introduces a specific example: the possibility of reduced per-unit costs when producing large quantities of t-shirts. This concept challenges the assumption of constant per-unit costs in our linear model.

Topic

Linear Functions

Description

This math clip art image is part of a series illustrating key linear function concepts. It depicts a bicycle alongside a linear graph, demonstrating the concept of constant speed. The graph shows a linear function that crosses the origin and has a positive slope, representing a scenario where at the starting point (t = 0), no distance has been traveled.

Topic

Linear Functions

Description

This math clip art image is part of a series illustrating key linear function concepts. It features a taxi alongside a graph labeled "Situation: Cost of a Taxi". The graph represents a linear function with a positive y-intercept, demonstrating a scenario with a base fee and a rate per mile traveled.

Topic

Linear Functions

Description

This math clip art image is part of a series illustrating key linear function concepts. It depicts a person walking a dog alongside a graph labeled "Situation: Walking Home". The graph shows a linear function with a negative slope, representing a scenario where the distance from home decreases as time increases.

Topic

Linear Functions

Description

This image is part of a series illustrating key concepts in linear functions, which are fundamental to understanding how lines behave in mathematics. The specific content of this image features a mountain and a graph titled "Situation: Altitude Change". It demonstrates a linear function with a negative slope, represented by the equation y = -0.01x + 101, showing how air pressure changes with altitude.

Topic

Linear Functions

Description

This image is part of a series illustrating key concepts in linear functions, which are essential for understanding how lines behave in mathematics. The specific content of this image features sunflowers and a graph titled "Situation: Plant Growth". It demonstrates a linear function with a positive slope, represented by the equation y = 2x + 20, showing how the height of a sunflower changes over time.

February 2023. In this issue of Math in the News we look at NFL statistics for the number of concussions. The NFL now tracks concussion, and this is an opportunity to analyze this data and draw conclusions.

Note: The download is a PPT file.

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July 2015. This edition of Math in the News focuses on the severe drought currently taking place in California, and how it has impacted the water resources available to the state. In this edition, students will see how to use percentages given to determine actual amounts, and to determine percents out of a whole.

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May 2014. In this issue of Math in the News we explore Bitcoin. We look at how it's used for making purchases and how it differs from other currencies. This provides an opportunity to apply the concept of currency exchange.

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This is the transcript for the video of same title. Video contents: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river's length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

This YouTube video describes the relationship between the number of cricket chirps and outside temperature. This is an application of linear functions of the form y = mx + b.

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

Topic

Ratios

Description

The video covers practical applications of ratios for measuring slopes of roofs and ramps. Examples include comparing roof pitches, calculating base lengths of roofs, and determining ramp heights. Ratios provide clarity for gradual slopes.

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Topic

Linear Functions

Topic

Linear Functions

Description

Introduces linear functions with examples like staircases, explaining slope, intercepts, and applications in real-world scenarios.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Introduces linear functions with examples like staircases, explaining slope, intercepts, and applications in real-world scenarios.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Models maximum heart rate during aerobic exercise with linear equations, creating exercise charts for various age groups.

Linear functions are fundamental in understanding relationships where one quantity depends linearly on another. This video provides clear examples and context that make the topic relevant and engaging. Linear equations often represent real-world scenarios, from economic trends to scientific measurements, helping students relate the math to everyday life.