8th Grade Math Unit 5

Big Idea:

Determine slope of a line from an equation, table, graph, and sentence.

Student Expectations:

Priority TEKS

8.4(B) [Readiness] Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship.

8.4(C) [Readiness] Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.

8.5(I) [Readiness] Write an equation in the form y=mx+b to model linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.

Focus TEKS

8.4(A) [Supporting] use similar right triangles to develop an understanding that slope,m, given as the rate comparing the change in y-values to the change in x-values, (y2-y1)/(x2-x1) is the same for any two points (x1,y1), (x2,y2) on the same line.

8.5(B) [Supporting] Represent linear non-proportional situations with tables, graphs, and equations, in the form of y=kx.

Ongoing TEKS

8.5(E) [Supporting] Solve problems involving direct variation.

8.5(F) [Supporting] Distinguish between proportional and nonproportional situations using tables, graphs, and equations in the form y=mx+b or y=kx, where b is not equal to 0.

8.5(H) [Supporting] Identify examples of proportional and nonproportional functions that arise from mathematical and real-world problems.

8.9(A) [Supporting] Identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y=mx+b from the intersections of the graphed equations

Student Learning Targets:

• I will interpret slope from a sentence, equation, graph, or table.
• I will graph a line from an equation and create an equation from a graph.
• I will find slope using the slope formula and by creating right triangles on a graph.
• I will find the constant rate of change and constant of proportionality and understand the difference.
• I will write to explain how the terms slope, constant of proportionality, unit rates, etc. are similar and different.

Essential Questions:

• How and why you would use slope in the real-world? Provide an example.

Extra Information:

Adopted Textbook: McGraw-Hill 8th Grade Mathematics

District Grading Policy

Texas Gateway Online Resource Center