Datasheet

Saving for a Rainy Day Teacher Notes
Topic Area: Patterns and Functions – Algebraic Thinking
NCTM Standard:
• Understand patterns, relations, and functions by interpreting representations
of functions of two variables using symbolic algebra to explain mathematical
relationships.
Objective
Given a set of formulas, the student will be able to use the GRAPH Menu and
G-Solve Function to solve problems involving the investment of money.
Getting Started
Discuss the importance of saving money and the difference between simple
and compound interest.
Prior to using this activity:
• Students should have a working knowledge of using the calculator to enter
various formulas and display the corresponding graph.
• Students should be able to use the G-Solve Function to find specific x- and
y-values.
Ways students can provide evidence of learning:
• The students will be able to discuss the results of the activity and justify
their answers to specific questions.
• The students will be able to discuss how the graphical results correlate to
their answers.
Common calculator or content errors students might make:
• When there are multiple formulas used, students could utilize the wrong
formula or substitute the incorrect information for a particular variable.
Definitions
• Interest & Compound Interest
• Principal
• Rate of Interest
• Future value
Formulas
Future Value of an Annuity:
()
[
]
1i1
i
P
A
n
−+=
[Note: Variables
defined in Activity]
Number of Payments:
)i1log(
)PiF1log(
N
+
÷
+
=
Monthly Payment for a Desired Future Value:
1)i1(
iF
P
n
−+
=
Activity 2 • Algebra II with the Casio fx-9750GII