Algebra Ane Solving Equations As Well As Inequalities (Unit 2) Inb Pages 2017-2018

We are currently working on relations too functions inwards Algebra 1 which is yesteryear far my favorite unit of measurement of the year. This agency I tin finally part our solving equations too inequalities unit of measurement amongst the internet!

This is my 2nd yr instruction Algebra 1 nether the novel Oklahoma Academic Standards. And, I'll live honest; I'm soundless trying to roll my withdraw heed some what just the standards entail too how best to become almost instruction them. This year's unit of measurement on solving equations went 100 times improve than lastly year. Having said that, I soundless accept then many changes I would similar to implement inwards the future. I'm proud of what nosotros did this year, just I know that I tin soundless do more. Next year, I desire to implement to a greater extent than application problems.

Every unit of measurement starts out amongst a divider. One side of the divider has a house for students to listing the "Top Ten Things to Remember" from this unit. At the destination of each unit, students larn a degree for completing this equally portion of their notebook checks. Some students maintain a running listing equally nosotros become through the unit. Other students hold off until correct earlier the notebook banking venture fit to write their list. Still others locomote out it blank. I can't win every battle.

The contrary side of the divider has places for students to tape their quiz scores for each skill.

You tin uncovering out to a greater extent than almost these dividers too download a template here.

Before outset to solve equations too inequalities, nosotros did a quick review of inverse operations.

We followed this upward amongst an inequalities investigation that was inspired yesteryear an activeness from Discovering Algebra (affiliate link) called "Toe the Line." The goal of this activeness is to remind students that nosotros involve to flip the inequality symbol whenever nosotros multiply or split both sides of the inequality yesteryear a negative number.

Up Next: Influenza A virus subtype H5N1 summary of steps for solving equations/inequalities amongst variables on ane side.

Next, nosotros did a quick review of how to graph solutions on a let on line. For my students, this is all a review except for graphing "not equals to."

In the past, I did this without the equal sign. I'm SO thankful I finally constitute fourth dimension to add together the equal sign this year.

We did 6 practise problems inwards our notebook over solving equations/inequalities amongst variables on ane side. Students stapled these problems together too glued them on a unmarried page. Some students fifty-fifty chose to staple their newspaper amongst the steps on locomote yesteryear of the practise problems to condense things fifty-fifty further. I kinda similar this approach!

At the destination of our inaugural off unit, students were genuinely struggling amongst translating betwixt words too algebra. So, I decided to maintain giving my students practise translating yesteryear giving them every unmarried equation too inequality inwards WORDS instead of ALGEBRA. Was this the correct decision? I'm non genuinely sure. But, I tin state that one-half way through this unit of measurement on solving equations/inequalities, my students started translating betwixt words too algebra similar bosses! The continued practise did destination upward paying off. What it prevented, however, was the lead chances to hold off at dissimilar types of application problems. I would similar to combine these ii approaches when I learn this again.

Here are close-ups of each:

Next time, I do desire to brand a few changes to this template. I desire to switch some steps seven too 8. By having my students banking venture fit their solutions earlier they graphed them, some of my students became confused too started putting the results they got from checking their piece of work on the let on line of piece of work instead of the solution they found.

To innovate the thought of solving equations amongst variables on both sides, I gave them a laid upward of scale puzzles that I downloaded from Sarah Rubin at Everybody is a Genius. I dear giving these puzzles to my students too giving them three minutes to solve them. There are alone ii rules:

1. Both sides of the scale must balance.
2. Whatever let on is placed inwards ane box on the scale must live placed inwards every box on that scale.

Students accept a difficult fourth dimension next dominion #2. Of course, the argue they desire to suspension dominion #2 is that the some of the problems they are trying to solve are genuinely impossible.

Our adjacent foldable was likewise inspired yesteryear Sarah Rubin.

As a twist, I had my students do their ain equations.

Influenza A virus subtype H5N1 New Set of Steps: Solving Equations/Inequalities amongst Variables on BOTH Sides

Practice Problems:

Here are close-ups of each:

I reused a foldable I made lastly yr for chemical compound inequalities. I'm soundless non happy amongst how good my students empathise the differences betwixt "AND" inequalities too "OR" inequalities. I involve to rethink my approach to this inwards the future.

We alone did 4 practise problems inwards our notebooks for chemical compound inequalities. I shout out upward nosotros should accept done more.

Here are close-ups of each:

Steps for Solving Absolute Value Equations

Practice problems are next.

Close-ups of each work are below.

Steps for Solving Absolute Value Inequalities

Practice Problems:

Our lastly science for the unit of measurement is solving equations for a specific variable. This is likewise known equally solving literal equations or changing the dependent champaign of the equation.

I allow my students lead betwixt ii methods of solving: flowchart method too the to a greater extent than traditional algorithm for solving equations.

We did 4 practise problems twice each.

You tin download the files for this unit of measurement here.