Solving Equations Using Inverse Operations Foldable

This year, I decided to endeavor something a fighting dissimilar inwards Algebra 1.  I showed my students 2 dissimilar methods to solve an equation, in addition to I required them to pick out 1 of those methods to use.  

I gauge I'm getting ahead of myself.  Let's dorsum up.  I began this whole speak of solving equations yesteryear telling my students that I was going to perform a magic fob for them.  I told my students to intend of a release inwards their head.  Then, I told them to multiply the release yesteryear two.  Next, I told them to split upward the release yesteryear two.  This was followed upward yesteryear my cunning magic.  I announced that I could say them what release they were thinking of.  They were thinking of the same release they started with.  Impressive, right?  

They. Were. Not. Impressed. 

I pretended to live on super offended that they didn't similar my magic trick.  They called it lame, stupid, in addition to whatsoever other release of non in addition to then squeamish things.  When they had calmed downwards a bit, I asked them why my magic fob wasn't really cool.  They really apace suggested that multiplying in addition to dividing undid each other, in addition to then it was non an impressive trick.  

Yes!  Inverse operations to the rescue.  We made a quick tabular array of inverse operations:

The within of the foldable had iv equations for them to solve.  I did non write these give-and-take problems myself.  I constitute them online over the summer.

Each give-and-take work provides an equation AND requires students to plug 1 of the values from the give-and-take work into the equation earlier solving for the specified variable.

To begin, I had my students plug inwards the given value in addition to write the equation to live on solved.

Next, I modeled for them how to solve the equation yesteryear creating a menstruum nautical chart AND yesteryear algebraically doing the same matter to both sides of the equation.  This was my students' outset fourth dimension seeing a menstruum nautical chart used to solve equations.  Some students were straightaway inwards love.  Others hated it in addition to complained the entire time.

The concluding matter nosotros did is a HUGE alter for me this year.  I am making them write a consummate judgement for each equation that puts the solution into the context of the story.  Why convey I never made students produce this before?!?

Here are the other 3 equations nosotros solved together inwards our notes:

I continued having my students depict a line of piece of work through the equal sign to split upward the 2 sides of the equation.  I blogged most that here.

I uploaded the file for this foldable here.  

Code Below Here

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