**Title:** Beep! Beep! Move Over! I Am Going to Be Late!

**Description:**
During this lesson, students will investigate how to "clear up" the "Traffic Jam." They will be using large manipulatives (their bodies), small manipulatives (carpet squares), and technology (the Java applet) to find the relationship among numbers and patterns. The carpet square will be used as "car lengths", while the students use their bodies as "vehicles" to try to find the minimum number of moves required to clean up the "Traffic Jam"!
**Standard(s): **

[TC2] (6-8) 14: Use digital tools to generate new ideas, products, or processes.

**Subject:**Mathematics (8), or Technology Education (6 - 8)

**Title:**Beep! Beep! Move Over! I Am Going to Be Late!

**Description:**During this lesson, students will investigate how to "clear up" the "Traffic Jam." They will be using large manipulatives (their bodies), small manipulatives (carpet squares), and technology (the Java applet) to find the relationship among numbers and patterns. The carpet square will be used as "car lengths", while the students use their bodies as "vehicles" to try to find the minimum number of moves required to clean up the "Traffic Jam"!

**Title:** Show Me The Money

**Description:**
Just what is a penny worth? Students explore various websites or printed fact sheet investigating the history and changes in density of pre- and post- 1982 pennies. They will also research the current price of copper and zinc and compare the ratios or pre and post 1982 pennies. Students then complete a hands-on lab experiment to determine the mass, volume, and density of pre and post 1982 pennies. Students determine if the pennies are worth saving?
**Standard(s): **

[TC2] (3-5) 8: Collect information from a variety of digital sources.

**Subject:**Mathematics (8), or Credit Recovery Science (9 - 12), or Science (9 - 12), or Technology Education (K - 5)

**Title:**Show Me The Money

**Description:**Just what is a penny worth? Students explore various websites or printed fact sheet investigating the history and changes in density of pre- and post- 1982 pennies. They will also research the current price of copper and zinc and compare the ratios or pre and post 1982 pennies. Students then complete a hands-on lab experiment to determine the mass, volume, and density of pre and post 1982 pennies. Students determine if the pennies are worth saving?

**Title:** Explore More Tables

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.
**Standard(s): **

[MA2015] (8) 28: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. [8-SP4]

**Subject:**Mathematics

**Title:**Explore More Tables

**Description:**In this lesson, one of a multi-part unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Exploring Linear Data

**Description:**
In this lesson, from Illuminations, students model linear data in a variety of settings. Students can work alone or in small groups to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Exploring Linear Data

**Description:**In this lesson, from Illuminations, students model linear data in a variety of settings. Students can work alone or in small groups to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8,9,10,11,12

**Title:** Least Squares Regression

**Description:**
In this nine-lesson unit, from Illuminations, students interpret the slope and y-intercept of least squares regression lines in the context of real-life data. Students use an interactive applet to plot the data and calculate the correlation coefficient and equation of the least squares regression line. These lessons develop skills in connecting, communicating, reasoning, and problem solving as well as representing fundamental ideas about data.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Least Squares Regression

**Description:**In this nine-lesson unit, from Illuminations, students interpret the slope and y-intercept of least squares regression lines in the context of real-life data. Students use an interactive applet to plot the data and calculate the correlation coefficient and equation of the least squares regression line. These lessons develop skills in connecting, communicating, reasoning, and problem solving as well as representing fundamental ideas about data.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Mathematics as Communication

**Description:**
This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time.
**Standard(s): **

[MA2015] AL1 (9-12) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]

**Subject:**Mathematics

**Title:**Mathematics as Communication

**Description:**This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** The Effects of Outliers

**Description:**
This lesson, one of a multi-part unit from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students investigate the effect of outliers on a regression line and easily see their significance.
**Standard(s): **

[MA2015] PRE (9-12) 44: Understand statistics as a process for making inferences about population parameters based on a random sample from that population. [S-IC1]

**Subject:**Mathematics

**Title:**The Effects of Outliers

**Description:**This lesson, one of a multi-part unit from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students investigate the effect of outliers on a regression line and easily see their significance.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Traveling Distances

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students interpret the meaning of the slope and y-intercept of a graph of real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the resulting least squares regression line. This lesson incorporates an interactive regression line applet.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Traveling Distances

**Description:**In this lesson, one of a multi-part unit from Illuminations, students interpret the meaning of the slope and y-intercept of a graph of real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the resulting least squares regression line. This lesson incorporates an interactive regression line applet.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Building Bridges

**Description:**
In this lesson, from Illuminations, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have single-solution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed.
**Standard(s): **

[MA2015] AL1 (9-12) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]

**Subject:**Mathematics,Professional Development

**Title:**Building Bridges

**Description:**In this lesson, from Illuminations, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have single-solution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Histogram Tool

**Description:**
This student interactive, from Illuminations, allows students to create a customized histogram as well as display pre-set histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set.
**Standard(s): **

[MA2015] AL1 (9-12) 44: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. [S-ID5]

**Subject:**Mathematics

**Title:**Histogram Tool

**Description:**This student interactive, from Illuminations, allows students to create a customized histogram as well as display pre-set histograms for various data sets. The tool also allows students to see a frequency table, adjust the interval, and view the median and standard deviation of a data set.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12