9-2 Solving Quadratic Equations by Factoring – We learned that in the standard form of a quadratic equation the factors of the equation determine the solutions. Then we learned the Zero-Product Property and factoring to find the solutions of a quadratic equation. Next we learned to apply factoring to solve real-world problems. Then we used the zeros of a quadratic equation to sketch a graph. Next we learned to write the factored form of a quadratic function from the graph.
Assignment: Complete the assigned problems for homework.
8.6 Scientific Notation – We learned to use scientific notation to express very large and very small quantities. We understand that the decimal must be greater than or equal to one and less than 10. Then we learned what constitutes a significant figure so we don’t exaggerate the accuracy of our results. Next we practiced adding and subtracting numbers in scientific notation.
9-1 Solving Quadratic Equations Using Graphs and Tables – We reviewed how to use a graph to identify the x-intercepts as solutions of a quadratic equation. If the graph of the function has no x-intercepts then the equation has no real solutions. If the graph touches the x-axis but does not cross it then there is only one x-intercept and one real solution. Next we practiced finding the vertex of the parabola by putting the equation in the form ax2 + bx + c and calculating the x-coordinate by the formula –b/2a and
we found the y-coordinate by using the formula –b/2a. Next we plugged the x-coordinate of the vertex into the original quadratic equation to find the y-coordinate of the vertex.
Assignment: Complete the assigned problems for homework.