Critical Thinking
Session Date
Lesson Topic
Exponent Operations with Monomials and Mixed Variables: Review and Practice
Lesson Outline
Exponent Operations with Monomials and Mixed Variables: Review and Practice. Online Worksheet problems with several monomial division problems with exponents and mixed variables. Nested exponents and negative exponents examples. Review for Test tomorrow. Today's lesson with Aiden was for practice and review for tomorrow's Unit Test on Exponent Operations and Exponential Functions/Graphs. He demonstrated much improved skill and mastery today with these types of problems due to the additional practice exercises that were assigned in class.
Assignment
Study for the Test
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Today's lesson with Aiden was for practice and review for tomorrow's Unit Test on Exponent Operations and Exponential Functions/Graphs. He demonstrated much improved skill and mastery today with these types of problems due to the additional practice exercises that were assigned in class.
Session Date
Lesson Topic
Exponent Operations Using Reciprocal to eliminate negative exponents. Simplification methods for monomials with mixed variables.
Lesson Outline
Exponent Operations Using Reciprocal to eliminate negative exponents. Simplification methods for monomials with mixed variables. Several teacher-created division of monomials "special case" problems. Aiden performed well today with the various division of monomial problems which were provided and completed in class.
Assignment
None
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Aiden performed well today with the various division of monomial problems which were provided and completed in class.
Session Date
Lesson Topic
Exponential Operations with Monomials. Division Rule and Nested Exponents
Lesson Outline
Exponential Operations with Monomials. Division Rule and Nested Exponents Handout worksheet with various
Exponent Division problems with Advanced Mixed-variable Monomials. Effect of a constant contained within the exponent nest. During today's session, Aiden worked productively with the handout worksheet problems on Exponent Operations with mixed variable monomials. Although he initially struggled with the necessary details for correct solutions, the extra time and practice exercises rapidly cleared up his understanding of the solution methods.
Assignment
Text pp. 376 # 78, 79 and teacher -created monomial division problem.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
During today's session, Aiden worked productively with the handout worksheet problems on Exponent Operations with mixed variable monomials. Although he initially struggled with the necessary details for correct solutions, the extra time and practice exercises rapidly cleared up his understanding of the solution methods.
Session Date
Lesson Topic
Exponential Function Word Problems: Handout worksheet to determine initial values, growth and/or decay factors, and rates of growth or depreciation.
Lesson Outline
Exponential Function Word Problems: Handout worksheet to determine initial values, growth and/or decay factors, and rates of growth or depreciation. Identifying trends and key components of exponential functions given specific exponential equations. Today's session with Aiden was a productive (and necessary) reinforcement and practice session with Exponential Functions and related word problems.
Assignment
Handout worksheet #1, 2, 4, 7, 12, and 15
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Today's session with Aiden was a productive (and necessary) reinforcement and practice session with Exponential Functions and related word problems.
Session Date
Lesson Topic
Exponential Functions Word Problems: Half-life and decay calculations.
Lesson Outline
Exponential Functions Word Problems: Half-life and decay calculations Handout worksheet problems involving decay factors, depreciation rates, and half-life calculations for various substances.During today's session on Exponential Functions and Half-life applications, Aiden initially found these types of problems to be a bit confusing. After several examples and guiding him through details of the proper method he became more comfortable and confident in working these independently.
Assignment
H6andout Worksheet : #8,9, 2, 3, and
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
During today's session on Exponential Functions and Half-life applications, Aiden initially found these types of problems to be a bit confusing. After several examples and guiding him through details of the proper method he became more comfortable and confident in working these independently.
Session Date
Lesson Topic
Exponential Functions: Graphing and evaluating. Fractional exponents and equivalent Root expressions.
Lesson Outline
Exponential Functions: Graphing and evaluating. Fractional exponents and equivalent Root expressions. Various textbook practice exercises. During today's lesson with Aiden, he practiced various problems related to the very important topics of Exponential Functions/Graphs, Fractional exponents and equivalent Root expressions.
Assignment
Text Probs. p. 362 #50, 62, 70 and p. 365 #3,4,5
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
During today's lesson with Aiden, he practiced various problems related to the very important topics of Exponential Functions/Graphs, Fractional exponents and equivalent Root expressions.
Session Date
Lesson Topic
Exponential Functions and Graphs
Lesson Outline
Exponential Functions and Graphs: Use of the Exponential Functions formula to predict and graph behavior of
(X,Y) data. Identification of exponential growth and exponential decay. Aiden was very excited to learn about exponential functions and their graphs due to the various real world examples of exponential changes in data and phenomena.
Assignment
Text Problems p. 318 #18, 19 and graphs.
Session Minutes
45
Minutes Student Attended
42
Lesson Comments
Aiden was very excited to learn about exponential functions and their graphs due to the various real world examples of exponential changes in data and phenomena.
Session Date
Lesson Topic
Division of Polynomials: with Monomials and Binomials:
Lesson Outline
Division of Polynomials: with Monomials and Binomials: Special cases of division of Polynomials Mixed variables and factoring methods. Aiden worked productively and carefully today with various practice problems on Division of Polynomials having mixed/multiple variables.
Assignment
Handout worksheet on Division of Polynomials 5 problems
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Aiden worked productively and carefully today with various practice problems on Division of Polynomials having mixed/multiple variables.
Session Date
Lesson Topic
Division of Polynomials
Lesson Outline
Division of Polynomials: Various practice problems from handout worksheet: Polynomials divided by monomials and binomials. Factoring /cancellation method and fraction simplification method. During today's session with Aiden, various Division of Polynomials problems were given on a handout worksheet. Aiden demonstrated excellent comprehension and problem-solving skills mastery with high complexity problems.
Assignment
Handout worksheet: 5 Division of Polynomials problems.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
During today's session with Aiden, various Division of Polynomials problems were given on a handout worksheet. Aiden demonstrated excellent comprehension and problem-solving skills mastery with high complexity problems.
Session Date
Lesson Topic
Multiplication and division of polynomials and monomials.
Lesson Outline
Multiplication and division of polynomials and monomials.
Assignment
Text probs. p. 375 #25, 26 and p. 376 #8,10, 15
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Aiden was well focused on today's topic of Multiplication and Division of Polynomials with Monomials.