Florida B.E.S.T. MA.912.AR.3.4
The Standard
Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students recognize a quadratic pattern in a graph, table, or situation. They use points, zeros, the vertex, or second differences to determine an equation and check that it fits.
What Mastery Looks Like
- Students choose vertex, intercept, or standard form based on the given information. Their equation matches all supplied points and correctly represents the variables and reasonable domain.
Common Misconceptions
- Students may treat a constant second difference as the value of a, rather than twice the value of a. They may assume a equals 1, reverse the sign of h in vertex form, or ignore a needed scale factor.
How to Assess It
- Give the table x: 0, 1, 2, 3 and y: 5, 0, -3, -4. Ask students to write a quadratic equation and verify two points.
Lesson moves
Ways to Teach It
Give pairs coordinate cards and graph paper; they plot the points, locate the vertex, and write a matching quadratic function.
Ask, "Which form would you choose from this graph, and what features make that form useful?"
Run a card sort matching quadratic graphs, tables, equations, and short situations, then have students justify each group.
Overlay a coordinate grid on a bridge arch photo; students select three points and write a quadratic model for the arch.
Free download
Printable MA.912.AR.3.4 Worksheet
A ready-to-print activity worksheet aligned to MA.912.AR.3.4, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.912.AR.3.7
Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
- MA.912.AR.3.9
Given a mathematical or real-world context, write two-variable quadratic inequalities to represent relationships between quantities from a graph or a written de...
- MA.912.AR.5.4
Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical ...
- MA.912.AR.2.2
Write a linear two-variable equation to represent the relationship between two quantities from a graph, a written description or a table of values within a math...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.