7-1 Adding and Subtracting Polynomials – We learned that a polynomial is a monomial or the sum or differences of two or more monomials. Polynomials can be added or subtracted by combining like terms. Polynomials are closed under addition or subtraction similar to integers.
Assignment: Complete the assigned problems for homework.
We will review the laws of exponents. We will look at the concept of a polynomial with examples, terminology and applications We will look at the meaning and history of the expression 0^0 as to why it is considered an indeterminant form.
Assignment
none
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
All went as planned. We will study polynomials in more depth next week. We had a good discussion about 0^0.
6-4 Geometric Sequences – We learned that geometric sequences are number sequences in which each term is related to the next by a common ratio. Then we learned that they can be represented by recursive and explicit formulas. Next we discovered that exponential functions can represent geometric sequences.
Assignment: For homework complete assigned problems.
A brief review of the first part of Algebra 1 will be followed by a study of the concept of exponents. We will discuss how exponents change the way equations and inequalities are solved. We will also discuss how exponents change graphs.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a ver good discussion of exponents. This led to a discussion about applications of exponents in financed in probability.
6-3 Exponential Growth and Decay – We learned to construct exponential growth and decay functions given a description of a relationship. Then we recognized if a situation can be modeled with exponential growth or decay, and interpreted the parameters of the model in context. Next we became familiar with the terms compound interest, exponential growth, and growth factor.
Assignment: For homework complete assigned problems.
6-3 Exponential Growth and Decay – We learned that an exponential growth function increases by a fixed percent and an exponential decay function decreases by a fixed percent over each interval. Next we learned that exponential growth and decay functions can be used to model many real-world situations.
6-2 Exponential Functions – We learned to sketch graphs showing key features of exponential functions. Then we wrote exponential functions using tables and graphs. Next we compared linear and exponential functions.
Assignment: For homework complete assigned problems.
