On Tuesday and Wednesday, we looked at a couple of tasks--one was called Seeing Dots, which involved students looking at a developing pattern and show how the given polynomials represented the pattern.
The second task was called Circle Pattern, which asked students to determine the pattern of circles inside of circles, and make some judgments about area.
This challenging lesson focused on rearranging formulas and solving for variables. There were several students who struggled with this lesson. While solving equations has become child's play for nearly all of us, solving for a particular variable is new and a bit more abstract. We will continue to work on this.
Students had no trouble with this lesson, and have grown very comfortable with polynomials. We used array models (and distribution) to multiply polynomials.
We began multiplying polynomials by first multiplying polynomials by monomials. We used both distribution and a visual array model to perform our operations.
We began performing operations on polynomials by adding and subtracting. We both combined like terms and aligned our polynomials vertically to add and subtract.
In this lesson, we covered some important definitions and classified polynomials, and then combined like terms with polynomials. This sets up well to do operations on polynomials.
This first lesson of Algebra 1 looked at how to simplify expressions. It was a gentle introduction to the concepts of polynomials that we will move on to as the week goes on...
Here we looked at the advantages of 'cutting corners' and taking the diagonal road, as well as geometric applications of the Pythagorean Theorem.
Students worked independently and in groups to see that you can use the Pythagorean Theorem to calculate the distance between two points on a coordinate plane.
This lesson involved proving that a triangle was indeed a right triangle by using the Pythagorean Theorem.