4-1 Solving Systems of Equations by Graphing – We practiced solving 2 algebraic equations with 2 unknowns by substitution. We learned to write a system of linear equations in two variables to represent real-world problems.
Assignment: For homework complete assigned problems.

I substituted for David in his Algebra class today.
We worked on a hand out he got from Mr. Barry.
We worked on the worksheet after David got done with testing.

4-1 Solving Systems of Equations by Graphing – We learned to use the graph systems of linear equations in two variables to find an approximate solution. Then we learned that the intersection of the graphs of a pair of linear equations is used to estimate the solution to a system. If two lines intersect at a point there’s exactly one solution. If two lines are the same, there are infinitely many solutions. If two lines are parallel, there is no solution.
Assignment: For homework complete assigned problems.

3-3 Transforming Linear Functions – We continued to work on transformations of a function. We practiced vertical and horizontal translations. Then we practiced vertical stretches and horizontal compressions.

We will use transformations to study quadratic functions. We will graph a variety of these functions to see the effect of changing values of certain parameters. We will study the properties of parabolas including symmetry, vertex, and width.

3-3 Transforming Linear Functions – We learned that a transformation of a function maps each point of its graph to a new location. Adding k to the function output causes a vertical translation, and the adding k to the function of the horizontal translation to the function input causes a horizontal translation. Then we discovered that multiplying the function output by k > 1 causes a stretch, and multiplying the function input by k > 1 causes a compression.

We will compare the graph of a line with the graph of a parabola. We will also compare the numerical tables used to create the graphs. We will discuss the reflective properties of a parabola and the application of parabolas to projectiles.

3-3 Transforming Linear Functions – We learned the transforming linear functions vocabulary: horizontal and vertical translation, stretches and compressions. We learned to graph transformations of linear functions by identifying the effect of replacing f(x) with f(x) + k, f(x + k), kf(x), f(kx) for specific values of k. Next, we interpreted the key features of a graph of a linear function and used them to write the function that the graph represents.
Assignment: Complete the assigned problems for homework.

3-2 Linear Functions – We learned that linear functions can be represented in multiple ways, using words, tables, graphs, and rules. Function notation is a way to write the rules for a function f. The output of the function f(x), means that f is a function of the input variable x.
Assignment: Complete the take home quiz on Lesson 3-2 and additional practice.

We will review solving equations with fractions by multiplying all terms by a common denominator. We will also solve equations that look a bit different, but are able to be solved in a similar way. We will then move on to squares and the graph of f(x) equal to x squared.