Unit 3
Modeling & analyzing exponential functions
UNIT DESCRIPTION
In this unit, students will interpret exponential expressions, one variable exponential equations in context, and understand parameters of two variable exponential equations.
In eighth grade, students learn the properties of integer exponents. These concepts are extended in this unit. Students have already learned the terms base and exponent. This understanding of vocabulary is extended to include leading coefficients and constants in exponential expressions. The factors, leading coefficient, base, exponent, and constant parts of exponential expressions will be connected to real world content. Properties of integer exponents will be used to create matching bases in exponential equations in one variable as a method of solving contextual problems. Exponential equations in two variables will be explored using input output tables to help develop an understanding of exponential growth and decay. These explorations will include graphic representations. It is important that during these explorations emphasis is placed on the constraints of exponential equations in two variables.
In eighth grade, students learn the properties of integer exponents. These concepts are extended in this unit. Students have already learned the terms base and exponent. This understanding of vocabulary is extended to include leading coefficients and constants in exponential expressions. The factors, leading coefficient, base, exponent, and constant parts of exponential expressions will be connected to real world content. Properties of integer exponents will be used to create matching bases in exponential equations in one variable as a method of solving contextual problems. Exponential equations in two variables will be explored using input output tables to help develop an understanding of exponential growth and decay. These explorations will include graphic representations. It is important that during these explorations emphasis is placed on the constraints of exponential equations in two variables.
LEARNING TARGETS
- I can interpret parts of an expression, such as terms, factors, leading coefficient, coefficients, constant and degree in context.
- I can create & solve exponential equations in one variable.
- Given mathematically applicable situations which utilize formulas or expressions with multiple terms and/or factors, I can interpret the meaning in context of individual terms or factors.
- I can create an exponential equation to model a given situation and determine growth or decay.
- I can graph an exponential function.
- I can interpret data points as solutions or non-solutions based on the represented constraints of the exponential function.
TEXTBOOK CONNECTIONS
Module 9
Lesson 1- Exponential Functions: Students graph exponential functions.
Lesson 3- Writing Exponential Functions: Students create exponential functions and solve problems involving exponential growth and decay.
Lesson 1- Exponential Functions: Students graph exponential functions.
Lesson 3- Writing Exponential Functions: Students create exponential functions and solve problems involving exponential growth and decay.
IXL SKILLS
Algebra 2 - Solve exponential equations by rewriting the base
- T.5
- Y.1
- Y.2