Introduction to Algebra Course Goals and Concepts. Review of equation solving linear equations and distributive property equations. Various real world examples of the use of algebra in business, medicine, video games, etc.
Lesson Outline
Review exercises with linear equation solving was presented. Examples with variables on both sides of the equations and distributive property linear equations were solved and discussed for proper methodology and verifying solutions.
Assignment
None.
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
Aiden was very attentive and well focused during our introductory Algebra session today. Course goals and expectations were communicated. Aiden is eager to perform at a high level in this Algebra 1 class and has the discipline, aptitude, and organizational skills to be productive and successful.
10-4 Translations of Functions – We graphed translations of absolute value, exponential, quadratic, and radical functions. Then we determined how combining translations affects the key features of the graph of a function. Then we learned that changes to the input and output of a function in the form f (x – h) + k result in a translation of the graph of the function. Adding a constant k to the output of the function shifts the graph vertically. Subtracting a constant h from the input of the function shifts the graph horizontally.
Assignment: Complete the assigned problems for homework.
I gave David a notebook with all the work that we completed since I came to the Batt school. He appreciated paging through it and being reminded of what he accomplished.
Assignment
None
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
David came to realize that he learned a lot of mathematics since we started together in November of 2023. He did a great job of learning beyond what is in an Algebra 1 textbook.
Racetrack Game. We will play this game of strategy using a sheet of graph paper with a race track drawn on it. Move can be in two directions, but the tenth of the moves can only change by one unit in each direction.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
After discussing the work Cam completed this year we payed a game of racetrack.
10-3 Analyzing Functions Graphically – We learned to relate the domain and range of a function to its graph. Then we analyzed the key features of the graph of a function to identify the type of function it represents. We explored the use of the key features of the graphs of functions. We used the domain, range, maximum and minimum values, axis of symmetry, and end behavior to identify and compare functions.
Assignment: Complete the assigned problems for homework.
10-2 The Cube Root Function – We learned to calculate and interpret the average rate of change of the cube root function over a specified interval. Then we modeled real-world situations using the cube root function.
Assignment: Complete the assigned problems for homework.
