Mississippi Math FA.F.20
The Standard
Compare the properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. (Limited to linear and quadratic functions only.) (8.F.2)
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare two functions shown in different forms, such as a table and an equation. They compare rates of change for lines and features such as minimum values for quadratics. They use numbers to explain their answers.
What Mastery Looks Like
- Given a table and an equation for two lines, a student calculates each slope and identifies which line grows faster. Given a quadratic graph and equation, they find each minimum or maximum and compare them.
Common Misconceptions
- Students may compare changes in y without checking changes in x. They may assume a quadratic has a constant rate of change or mistake its y-intercept for its vertex. Different axis scales can also make one line look steeper than it is.
How to Assess It
- Exit ticket: Compare the rates of change and starting values for the table (0, 2), (1, 5), (2, 8) and y = 2x + 4. Show your calculations.
Lesson moves
Ways to Teach It
Plot (-1, 4), (0, 1), (1, 0), (2, 1), (3, 4) on grid paper and compare the minimum with y = (x - 1)² + 2.
Draw a line through (0, 4) and (2, 8) beside y = 3x + 1; ask partners which rises faster and why.
Deal cards showing y = 2x + 1, a graph through (0, 1) and (1, 4), and a table rising by 1 per x-step; rank their slopes.
Give a taxi fare table, (0, $4), (1, $8), (2, $12), and the rule C = 3m + 5; compare starting fares and costs per mile.
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Printable FA.F.20 Worksheet
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Related Standards
- ATM.F.31
Write a function that describes a relationship between two quantities; and be able to calculate and interpret the average rate of change of a function (presente...
- FA.F.15
Determine the rate of change of a linear function from a description of a relationship or from two (x, y) values, including reading these from a table or from a...
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