Showing posts with label Evaluating Functions. Show all posts
Showing posts with label Evaluating Functions. Show all posts
Saturday, October 28, 2017

Open Middle Style Problem for Equations amongst One/No/Infinite Solution(s)

Two summers ago, I created some opened upwards middle means problems that accept been a hitting inward my classroom. Both problems utilization a reusable fix of tiles that accept the numbers from -4 to +4 printed on them. These tiles are laminated which has helped them concur upwards to utilization over multiple years.

The offset work I created reviewed the concept of function/not a function. Students had to practise 3 relations that were functions. Then, they had to practise 3 relations that were non functions. I shared the file for this activity here.


I followed upwards the creation of that activity alongside an evaluating functions work that tin hold upwards downloaded here.


This year, I'm placing a big emphasis on solving equations alongside variables on both sides. Though I covered this final year, my emphasis on discussion problems meant I didn't practise a proficient chore of introducing my students to the concepts of no solution as well as interplanetary space solutions. This year's solving equations/inequalities unit of measurement hasn't gone perfectly, but I know it never will. I volition ever accept room for improvement every bit a teacher.

I decided to come across if I could brand an opened upwards middle means work for creating equations alongside i solution, no solution, as well as interplanetary space solutions.

First, I did a chip of lawsuit as well as fault on a combat of paper.


My hubby had to bail me out because I accidentally created 2 problems alongside interplanetary space solutions. Shaun reminded me that I had a lot of wiggle room because the tiles inward the i solution work could hold upwards moved simply about a lot. 


Then, I took wages of the fact that my freshman students went on a champaign trip leaving me alongside well-nigh no students for an entire twenty-four hours to truly type upwards the activity.


After typing it up, I realized that I alone had 8 boxes for my nine tiles to fit in. Luckily, I simply had to brand a tiny tweak to the bottom equation.


Students accept to house the tiles inward the appropriate boxes as well as hence an equation is formed that matches each equation type. My students institute it pretty tardily to larn i of the equations correct. They institute it much harder to larn all 3 of the equations right using the exact release tiles provided.

Here are some activeness shots from my classroom:




You tin download the file for this activity here.

CPM Function Machine Activity

I of late constitute this weblog post service inwards my draft folder, together with therefore I decided I should complete it!

During the Summer of 2016, I attended a department called "Fun Functions" past times CPM at the OCTM Summer Conference.  If you're interested inwards knowing more, I recapped the session together with shared the resources here.

One of the ideas shared inwards the session was to hand students a laid of iv role machines.  Given a starting value together with an ending value, students had to accommodate the role machines together with therefore that if the starting value was used equally the input of the starting fourth dimension machine, the output of the starting fourth dimension auto was used equally the input of the minute machine, the output of the minute auto was used equally the input of the 3rd machine, together with the output of the quaternary auto was the given ending value.  

For my Algebra 1 students, I used the free resources page offered past times CPM on their website.  CPM too has an Algebra 2 version available on their website.     

The starting fourth dimension challenge I gave students was to start amongst fifteen together with halt amongst -6.  They were able to usage our novel grouping sized dry out erase boards inwards gild to piece of occupation on this problem.  We've had these boards for most a calendar week straightaway (as of Nov 2016), together with nosotros convey already used them SO much.  I'm together with therefore thankful for my school's foundation for providing the grant coin to purchase 6 grouping sized boards for my classroom.  They too bought us 75 dozen dry out erase markers.  We tin create together with therefore much to a greater extent than math now! 

Not all of my students were successful at completing this activity.  In fact, I exclusively had ii groups of students successfully consummate the challenge.  I intend this is okay.  The purpose of this activeness was to hand students lot of exercise evaluating functions.  Even the unsuccessful groups tried a ton of combinations together with did a lot of practice.

The groups who were successful were asked to consummate a minute challenge: If the lastly output is 2 together with the starting fourth dimension input is 8, what gild should the role machines become in? 






I'm looking forrard to trying this activeness i time to a greater extent than this twelvemonth amongst my Algebra 1 students. I intend nosotros volition create lots to a greater extent than exercise simply working amongst the role machines earlier nosotros tackle this problem. I'm hoping they volition live much to a greater extent than successful equally a result.