This lesson examined the differences between constant speed and average speed. In many respects, the math content was a review of content students had learned last year, but the concepts were a bit more sophisticated in terms of the discussions around the differences and similarities between constant and average speed.
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I hope everyone is enjoying a restful weekend. In the event you'd like to get a jump on completing the study guide, I'll post it below, along with the answer key, which I think is error free--but of course, there might be a mistake here and there...if you catch one, please let me know!!
In our final lesson of this part of our module, we solved word problems that involved linear equations.
To finish off our week, we attacked problems that involved more challenging linear equations. Specifically, there were equations with variables in the denominator, and equations that resembled proportional relationships. Our goal was to create equivalent expressions to eventually simplify to a 2 step equation and then isolate our variable.
We have been considering equations that have only one solution for some time now. Today, we considered the conditions that make it so an equation has no solutions or infinitely many solutions.
This lesson asked students to solve equations involving missing angle measures and algebra. Students used what they learned previously to solve for an unknown and then determine angle measures.
This lesson asked students to use the distributive property to create an equation that they would be more familiar with--i.e. an equation with variables on both sides. We actually went out of order here by doing lesson 5 before lesson 4, but everything worked out fine...
After ensuring students were able to solve simple two step equations, we began "the real math" of solving more complicated equations with variables on both sides of the equal sign. This required an extra step of adding or subtracting a variable term to gather all variables on one side of the equation.
Before solving equations, we need to make sure we understand what it means to "solve" a linear equation. We looked at equations as statements, and 'solutions' to linear equations as values of the variable that make the statement true.
This 'vocabulary' lesson introduced students to the different ways we say mathematical symbols. This is an introductory lesson for our fourth unit covering all types of linear equations.
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May 2016
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