Algebra Unit 2 - Linear Equations, Inequalities, & Systems by Mark Gostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7 Made with charm en-us 2020-10-06 12:44:26 UTC 2025-11-08 05:44:53 UTC hello@padlet.com https://padlet.net/icons/png/1f9ee.png We learned that it's important to be able to take real-world situations and write expressions and equations that represent and FIT those situations mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836318430 2020-10-16 17:04:38 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836318430 It's important to be able to read an equation and "tell a story" about it. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836321384 For example the equation 
T + 50 = .5n
Could mean that if everyone in the club donates 50 cents, then they will have raised $50 more than their fundraising goal for the Senior Citizens Center]]> 2020-10-16 17:05:23 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836321384 Models in Math are equations, graphs and other math tools used to represent a situation & PREDICT the past, present or , Future. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836326627 The key word is that Algebra helps us make PREDICTIONS. ]]> 2020-10-16 17:06:51 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836326627 All math models are simplifications of the real-world. They put constraints and help us focus on a limited area of the problem mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836338626 this can be good and bad]]> 2020-10-16 17:09:58 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/836338626 We used graphing calcs/app to graph linear equations and identify solutions to the equations mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840721001 2020-10-19 12:33:02 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840721001 We tried to understand how the coordinates of the points on the graph of an equation are related to the equation. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840722540 2020-10-19 12:33:30 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840722540 We were given the graph of a linear equation, we tried to explain the meaning of the points on the graph to explain the situation it represents. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840723897 2020-10-19 12:33:57 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/840723897 We learned how you can create an infinite number of equivalent equations for a situation. Some will be more useful like turning decimals to whole numbers; some will be more simplified and will be easier to solve; some will tell the story better but will have more parts to them. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/848525713 2020-10-21 13:16:09 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/848525713 We saw a variety of ways to rearrange equations to solve them for a variable. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865322537 This can be useful if you repeatedly have to input a value and solve the equation for other variables over and over and over again. ]]> 2020-10-27 12:16:07 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865322537 We reviewed the properties of equality that allow us to rearrange, simplify, and rebalance an equation mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865332572 2020-10-27 12:19:51 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865332572 mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865337575 2020-10-27 12:21:29 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/865337575 We saw equations in the form Ax + By = C and used them to find x & y intercepts and slopes mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883620590 2020-11-02 18:52:21 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883620590 If you put in x=0 then solve for y, you get the y-intercept (0,y) mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883623737 2020-11-02 18:52:59 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883623737 If you put in y=0 then solve for y, you get the x-intercept (x,0) mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883626249 2020-11-02 18:53:33 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/883626249 Just like last year, you saw that you can graph two equations and the solution is the point where the two lines cross mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919118225 2020-11-13 02:26:10 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919118225 Systems of equations have solutions of x and y coordinates that work in both equations if you substitute the values into them mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919120501 2020-11-13 02:27:22 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919120501 Today we graphed systems of equations in the form Ax+By=C....meaning they were not in slope intercept form. We used either desmos or geogebra to graph them. mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919121678 2020-11-13 02:28:07 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/919121678 We saw several methods to use substitution to solve systems of equations. Remember the goal is to find the x & y value that "works" for both equations .... (x, y) mgostkiewicz https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/929937810 2020-11-17 02:13:03 UTC https://padlet.com/mgostkiewicz/6zywuw9u9kqscbb7/wish/929937810