The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.

Students Can (Evidence Outcomes):

Big Ideas Algebra 2 Chapter 6 focuses on the families of exponential and logarithmic functions. Consult Algebra 2 Families of Functions for additional evidence outcomes that apply to exponential and logarithmic functions.

HS.A-SSE.B. Seeing Structure in Expressions: Write expressions in equivalent forms to solve problems. 

• Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.⭑ (CCSS: HS.A-SSE.B.3)

  • Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. (CCSS: HS.A-SSE.B.3.c)

HS.F-IF.C. Interpreting Functions: Analyze functions using different representations. 

• Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.⭑ (CCSS: HS.F-IF.C.7)

  • Graph exponential and logarithmic functions, showing intercepts and end behavior. (CCSS: HS.F-IF.C.7.e)

HS.F-LE.A. Linear, Quadratic & Exponential Models: Construct and compare linear, quadratic, and exponential models and solve problems.⭑ 

• Construct exponential functions given a graph or two input-output pairs (include reading these from a table). (CCSS: HS.F-LE.A.2)

• For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. (CCSS: HS.F-LE.A.4)

A star symbol (⭑) represents grade level expectations and evidence outcomes that make up a mathematical modeling standards category.

Assessments:

• Chapter 6 Assessment (PDF)

• SAT Suite Educator Question Bank (Content Domain: Advanced Math)

• Additional Assessment Tasks

Instructional Resources & Notes:

• Big Ideas Algebra 2 Chapter 6 (skip Lesson 6.5)

• Supplemental Lesson Resources for Chapter 6

• Additional Modeling Tasks

  • Dating Archeological Finds, Swimming Pool Bacteria, Exponential Situations, Viral Marketing (References: Completing the Modeling Cycle, Advice on Modeling)

• Notes: 

  • In Lesson 6.6 (Solving Exponential and Logarithmic Equations), focus on exponential equations only.

  • Students do not need to know or use properties of logarithms to solve exponential equations in Lesson 6.6; rather, students should express the solution as a logarithm and evaluate using technology.