Chapter 2 Review

This week is our Chapter 2 assessment. I will be posting daily notes and questions, designed to get you thinking about what is to come the next day. Today we reviewed the basic elements on Chapter 2: Verifying Angle Relationships. Adjacent angles, Vertical angles and linear pairs. Adjacent angles are angles next to each other that share a common ray. Vertical angles are angles that are formed by the intersection of two lines. The opposite angles formed are congruent. There are two pairs of them. Linear pairs are angles that can be adjacent to each other, and are definitely, supplementary-and therefore, their sums equal to 180 degrees. Today we also discussed Section 2.1: Deductive Reasoning. For example, Radwa was preparing toast for breakfast. After a few minutes, the bread popped up but wasn't toasted. What possibilities are there for the bread not being toasted? Look at the video from Brightstorm - 'deductive reasoning' on YouTube. He explains deductive reasoning and inductive reasoning.

Since the district went Google, I have been out of commission.

Since the school year restarted, I was unable to get in. Now, thanks to the tech department at Clintondale, I am back in business. Starting next week, videos and more will be posted to help students and parents about what is happening in Geometry class at Clintondale High School.

Review of Chapter 8: Solving A System of Linear Equations

From class, we had the problem: 3x + (1/3)y = 10; 2x - (5/3)y = 35. So, multiply 3 to everything. So, 3(3x + (1/3)y = 10); 3(2x - (5/3)y = 35). Therefore, you have 9x + y = 30; 6x - 5y = 105, respectively. Now, multiply the first linear equation by 5:5(9x + 5 = 30). So, 45x + 5y = 150; 6x - 5y = 105. Add them, and you get, 51x = 255. Therefore, x = 5. Using the second equation, plug in 5 for x. So, 3(5)+(1/3)y = 10. Therefore, 15 + (1/3)y = 10. Solve for y. So, (1/3)y = -5. Then, multiply each side by 3. So y = -15. QED

Carbon Dating - Exponential Relationship

AI tried to show a Star Trek clip, but couldn't get it. So here is a clip from Numb3rs about carbon dating.

Solving a Three Variable System of Equations

Here is the problem from class: a + b + c = 5, 2a + 3b + c = 10, 4a - b + c = 9. So, solve for c in the first equation. c = 5 - a - b. So, substitute the equation of c into the other equations. 2a + 3b + 5 - a - b = 10, 4a - b + 5 - a - b = 9. So, simplify the equations. a + 2b = 5, 3a - 2b = 4. So through elimination, add the equations. 4a = 9, therefore a = 2.5. So let's use two equations: a + b + c = 5, 4a - b + c = 9. So through elimination, add the equations. 5a + 2c = 14, and since a = 2.5, 5(2.5) + 2c = 14, 12.5 + 2c = 14, 2c = 1.5 and therefore, c = .75. So, a + b + c = 5 with the values of a and c, look like: 2.5 + b + .75 = 5. Solve for b. b = 1.75. Check your work and the values add up to 5.

Hey, 8th Graders...Solving Linear Equations by Graphing

The first video helps you set up the problem. The next video helps you solve for y. To find the intersection point, we have been using the graphing calculator. Remember that y min and x min is zero. The y max and x max is higher than the highest y-intercept in your problem.

Honors Algebra: Solving An Equation by Grouping

Hi, everyone. I found this video on YOUTUBE!