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In 8th grade, students analyze, create and represent linear and simple non-linear functions in multiple ways to make connections between them, including mathematical concepts related to bivariate data and Pythagorean Theorem, and “real-world” situations like those arising from two & three dimensional space.
Essential Standards
linear equations. (DOK Levels 1, 2)
linear equations. (DOK Levels 1, 2)
8.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.
There are no sub-standards for this standard.
8.SP.A.3 (embed 8.SP.1 & 8.SP.2) Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
8.SP.A.1 (embed with 8.SP.A.3) Construct and interpret scatter plots for bivariatemeasurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
This standard was not been identified as "essential" by the design team; however, it can be embedded with the instruction of 8.SP.A.3.
8.SP.A.2 (embed with 8.SP.A.3) Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
This standard was not been identified as "essential" by the design team; however, it can be embedded with the instruction of 8.SP.A.3.
8.EE.B.5 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 distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Supporting Standards
8.SP.A.1 (embed with 8.SP.A.3) Construct and interpret scatter plots for bivariatemeasurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
This standard was not been identified as "essential" by the design team; however, it can be embedded with the instruction of 8.SP.A.3.
8.SP.A.2 (embed with 8.SP.A.3) Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
This standard was not been identified as "essential" by the design team; however, it can be embedded with the instruction of 8.SP.A.3.
8.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.
There are no sub-standards for this standard.
8.EE.C.8 Analyze and solve pairs of simultaneous linear equations.
a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line though the first pair of points intersects the line through and second pair.
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