8th Grade Linear Relationships
Grade 8, Linear Relationships Unit: A linear relationship is a statistical term that describes a straight-line relationship between two variables. In 8th grade math, a linear relationship is typically represented by the equation y=mx+b. Linear relationships can also be expressed graphically as a straight line in the coordinate plane that crosses the x-axis at a point. The slope of a non-vertical line is the measure of vertical change over the measure of horizontal change between any two points on the line. And linear functions can be used to model quantities that change at a constant rate, such as distances and prices. Throughout the course, students have explored linear equations and used their understanding to calculate, identify and contextualize slope and intercepts to make logical decisions. This unit formally ties together multiple concepts and skills explored in Units 1-4. PDF is hyper linked with over 60 items. The pfd contains links to:
9 Printable Student Handout with QR code for video instruction
9 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
9 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
Grade 8, Linear Relationships Unit: A linear relationship is a statistical term that describes a straight-line relationship between two variables. In 8th grade math, a linear relationship is typically represented by the equation y=mx+b. Linear relationships can also be expressed graphically as a straight line in the coordinate plane that crosses the x-axis at a point. The slope of a non-vertical line is the measure of vertical change over the measure of horizontal change between any two points on the line. And linear functions can be used to model quantities that change at a constant rate, such as distances and prices. Throughout the course, students have explored linear equations and used their understanding to calculate, identify and contextualize slope and intercepts to make logical decisions. This unit formally ties together multiple concepts and skills explored in Units 1-4. PDF is hyper linked with over 60 items. The pfd contains links to:
9 Printable Student Handout with QR code for video instruction
9 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
9 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
Grade 8, Linear Relationships Unit: A linear relationship is a statistical term that describes a straight-line relationship between two variables. In 8th grade math, a linear relationship is typically represented by the equation y=mx+b. Linear relationships can also be expressed graphically as a straight line in the coordinate plane that crosses the x-axis at a point. The slope of a non-vertical line is the measure of vertical change over the measure of horizontal change between any two points on the line. And linear functions can be used to model quantities that change at a constant rate, such as distances and prices. Throughout the course, students have explored linear equations and used their understanding to calculate, identify and contextualize slope and intercepts to make logical decisions. This unit formally ties together multiple concepts and skills explored in Units 1-4. PDF is hyper linked with over 60 items. The pfd contains links to:
9 Printable Student Handout with QR code for video instruction
9 Printable Daily Assessment: Mid-Lesson Assessment to check for understanding and/or differentiated flexible groupings
9 Instructional Video Link: Includes Teacher Model and Guided Practice.
Google Slide Decks for each lesson
Teacher Notes and Answer Key for each lesson
Formative Link: e-Copy of the Student Materials on GoFormative.
Also provided is a complete unit overview, a PreTest, PostTest, and Student Reflections for each assessment. Answer Keys also added on GoFormative for instant data and student feedback. 30 Day free trial of GoFormative.
CCSS8.EE.B.6
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation 𝘺 = 𝘮𝘹 for a line through the origin and the equation 𝘺 = 𝘮𝘹 + 𝘣 for a line intercepting the vertical axis at 𝘣.
CCSS8.F.A.3
Interpret the equation 𝘺 = 𝘮𝘹 + 𝘣 as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function 𝘈 = 𝑠² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
CCSS8.F.B.4
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (𝘹, 𝘺) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
CCSS8.F.B.5
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.