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Common Core: Math
CCLS  Math: 8.EE.5
 Category
 Expressions And Equations
 SubCategory
 Understand The Connections Between Proportional Relationships, Lines, And Linear Equations.
 State Standard:
 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distancetime graph to a distancetime equation to determine which of two moving objects has greater speed.
14 Results

 Simultaneous equations and their solutions are the focus of Topic D. Students begin by comparing the constant speed of two individuals to determine which has greater speed (8.EE.C.8c). Students...

 In Topic C, students know that the slope of a line describes the rate of change of a line. Students first encounter slope by interpreting the unit rate of a graph (8.EE.B.5). In general, students...

 In Topic B, students work with constant speed, a concept learned in Grade 6 (6.RP.A.3), but this time with proportional relationships related to average speed and constant speed. These relationships...

 Student Outcomes Students learn a realworld application of linear equations with respect to the conversion of temperatures from Celsius to Fahrenheit and Fahrenheit to Celsius.

 Student Outcomes Students know that any constant rate problem can be described by a linear equation in two variables where the slope of the graph is the constant rate. Students compare two different...

 Student Outcomes Students write the equation of a line given two points or the slope and a point on the line. Students know the traditional forms of the slope formula and slopeintercept equation.

 Student Outcomes Students know that any nonvertical line is the graph of a linear equation in the form of y = mx + b, where b is a constant. Students write the equation that represents the graph of...

 Student Outcomes Students prove that any point on the graph of y = mx + b is on a line l and that any point on a line l is a point on the graph of y = mx + b. Students graph linear equations on the...

 Student Outcomes Students graph linear equations in standard form, ax + by = c (a or b = 0), that produce a horizontal or a vertical line.

 Student Outcomes Students predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane. Students informally explain why the graph of a linear equation is...

 Student Outcomes Students use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.

 Student Outcomes Students know the definition of constant rate in varied contexts as expressed using two variables where one is t representing a time interval. Students graph points on a coordinate...

 Student Outcomes Students work with proportional relationships in terms of average speed and constant speed in order to write a linear equation in two variables. Students use linear equations in two...

 Grade 8 Module 4: Linear Equations In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs. Students understand the...