Illustrative Math Alignment: Grade 7 Unit 2

Topic

Linear Functions

Description

The term is "Graphs of Linear Functions," defined as a linear function in slope-intercept form y = mx + b that crosses the y-axis at (0, b) and has a slope of m. An example graph shows f(x) = 4x + 3 crossing the y-axis at (0, 3). This term visualizes how linear functions are represented on a graph, providing insight into slope and y-intercept properties.

Topic

Linear Functions

Description

The term is "Graphs of Linear Functions," defined as a linear function in slope-intercept form y = mx + b that crosses the y-axis at (0, b) and has a slope of m. An example graph shows f(x) = 4x + 3 crossing the y-axis at (0, 3). This term visualizes how linear functions are represented on a graph, providing insight into slope and y-intercept properties.

Topic

Linear Functions

Description

The term is "Graphs of Linear Functions," defined as a linear function in slope-intercept form y = mx + b that crosses the y-axis at (0, b) and has a slope of m. An example graph shows f(x) = 4x + 3 crossing the y-axis at (0, 3). This term visualizes how linear functions are represented on a graph, providing insight into slope and y-intercept properties.

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Topic

Linear Functions

Description

The term is "Linear Function Table," defined as an input-output table where the output values have a common difference. An example shows a table with x-values increasing by 1 and f(x)-values increasing by 2. This term ties numerical patterns to linear functions, highlighting their consistent rate of change.

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

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.

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.

This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations

This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations