7th Grade Advanced Math Unit 4

Big Idea:

Basics of functions and representations of linear relationships

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.

8.5(G) [Readiness] Identify functions using sets of ordered pairs, tables, mappings, and graphs.

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.

7.4A [Readiness] Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.

Focus TEKS

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

8.5(B) [Supporting] Represent linear non=proportional situations with tables, graphs,, and equations in the form of y=mx+b, where b is not = to 0.

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

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

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

7.4C [Supporting] Determine the constant of proportionality (k = y/x) within mathematical and real-world problems

Learning Targets:

• Determining from a graph if it is proportional
• Unit rate
• Identify functions
• Vertical line test
• Read a table, graph, and chart

Essential Questions:

• Can the student graph a line from an equation in slope form?
• How can we express linear relationships between two quantities in different ways?
• How can you show that two objects or relationships are proportional?

Extra Information:

Adopted Textbook: McGraw-Hill 8th Grade Mathematics

District Grading Policy

Texas Gateway Online Resource Center