MA19.A1.25

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.25
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Unpacked Content

Knowledge

Students know:

That linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Properties of arithmetic and geometric sequences.

Skills

Students are able to:

Accurately recognize relationships within data and use that relationship to create a linear or exponential function to model the data of a contextual situation.

Understanding

Students understand that:

Linear and exponential functions may be used to model data that is presented as a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Linear functions have a constant value added per unit interval, and exponential functions have a constant value multiplied per unit interval.

Vocabulary

Arithmetic and geometric sequences
Arithmetic sequence
Geometric sequence
Exponential function

Aligned Learning Resources

Equivalent Expressions Using Exponents

Classroom Connection: Benchmark Fractions

Curious George: Blast Off Digital Game

Introducing Non-Unit Fractions and Equivalence

Introduction to Functions and Equations for Functions

Design by Adaptive Theme