It's been a few days since Ben had class. We discussed his trip to NJ and his recent technology purchase. He was super excited to share the uniqueness of his Steamdeck. After a few stories he was ready to begin. We reviewed what we worked on the last time we met: classifying polynomials and adding them. Today we discussed subtraction. I showed Ben how we distribute the negative to all of the terms in the 2nd set of parenthesis. We discussed how all of the positive terms become negative and all of the negative terms become positive. Then we would combine like terms as usual to simplify. Ben was engaged today and asked great questions. Way to go Ben.
8-3 Quadratic Functions in Standard Form – We learned to compare properties of quadratic functions. We found the x coordinate by using the formula –b/2a. Next we plugged the x value into the equation to find the y value. Then we applied these principles to real-world problems.
Assignment: Complete the assigned problems for homework.
We worked on determining median, percent, and quartiles from box and whisker plots. Then we worked on problems where we solved radical equations and completed the square.
8-2 Quadratic Functions in Vertex Form – We practiced solving word problems involving quadratic functions. Then we practiced finding features of the graph of quadratic functions written in vertex form and how they relate to real-world problems.
8-2 Quadratic Functions in Vertex Form – We learned to identify key features of the graph of quadratic functions written in vertex form. Then we practiced graphing quadratic functions in vertex form.
8-1 Key Features of a Quadratic Function – We worked on problems where we practiced plotting quadratic functions with f(x) = ax2 where a<0, a>0, a>1, and 0<a<1. Then Philip graphed two functions and compared the average rates of change. Then he determined whether functions were increasing or decreasing over intervals.
8-1 Key Features of a Quadratic Function – We reviewed the attributes of a quadratic function such as minimum/maximum value, symmetry, domain, and range. Then we learned how the attributes affect the shape of a parabola.
We prepared for a test on Lessons 10-1 to 10-4. Hudson needed to review and practice section 10-1 Square Root Functions. We worked on graphing and analyzing linear, exponential, and quadratic functions. We graphed and analyzed dilations of radical functions. Then we graphed and analyzed reflections and translations of radical functions. Next, we named the domain and range of the square root function and each translation of the square root function. We reviewed and solved radical equations as well.
We had a short class today. Ben was finishing up art while I finished a meeting with Ms. Megan. We only had enough time to look at the work from Friday. We reviewed the terms together and then it was time for Recess. Tomorrow we will move into new content.
8-1 Key Features of a Quadratic Function – We learned to identify key features of the quadratic function using graphs, tables, and equations. Then we learned the effect of the value of a on the quadratic parent function. We learned that a quadratic function is a polynomial function in one or more variables in which the highest degree term is of the 2nd degree. The graph is a parabola. The value of the leading coefficient determines both the width of the parabola and the direction the parabola opens (upward or downward).
Assignment: Complete the assigned problems for homework.