Dry Erase Work Mat for Simplifying Radicals

Birthday Cake Method Dry Erase Pockets game Prime Factorization Prime Numbers printable Radicals Review Game Surds Work Mat

Dry Erase Work Mat for Simplifying Radicals

Yesterday, I got a conduct chances to endeavor out the function mat I created for my students to role spell simplifying radicals.  I printed the function mat on posters, together with I used it to brand giant Farkle score sheets a duo of weeks ago.  

Just earlier Christmas, I purchased a railroad train of 11 x 17 dry out erase pockets (affiliate link) that lets me accept my 11 x 17 menu stock (affiliate link) together with plough it into a reusable activity.  

The function mat isn't anything fancy, but I created it inwards the hopes that it would assist my students last along their function to a greater extent than organized together with less scattered together with sloppy.  

I gave my students a dedicated house to pose their function for finding the prime factorization.  This year, I gave my students a selection betwixt using ingredient trees together with the birthday cake method for prime factorization.  I honor that most of my students prefer the ingredient tree, but the students who brand the to the lowest degree mistakes are the ones who role the birthday cake method.  

In the function box, students rewrite their radical using the prime factorization together with await for numbers together with variables they tin accept the appropriate foursquare root, cube root, etc. of.  Then, students conduct maintain a split upward box to write their finally solution.  

To assist my students out, I gave them a department at the bottom of the page that includes all of the prime numbers below 100.  This year, I gave my students a page to mucilage inwards their notebooks amongst the primes nether 100.  My students who conduct maintain had me previously asked why I hadn't given them 1 of these finally year.  I approximate they institute it useful. :) 

I also conduct maintain a prime release poster hanging on the wall that students oft reference. 

I institute a Connect iv action on Jo at Resourceaholic for giving me simply about awesome links to await through!  

We had to conduct maintain a intelligence virtually what surds are since I took this action off a Britain website.  Then, nosotros talked virtually the fact that my Australian husband also refers to them equally surds.

One nestling was then bothered yesteryear the fact that it said "surds" instead of "radicals" that he took his dry out erase marking together with changed the title!

Here's a moving painting that shows the size departure betwixt my 9" x 12" dry out erase pockets (affiliate link) together with my 11" x 17" dry out erase pockets (affiliate link).

Here are simply about pictures of my students using the dry out erase function mat to organize their function for the Connect iv game.

When I told my students to showtime cleaning up, in that place were many protests because they wanted to simply solve a few to a greater extent than problems.  I definitely telephone telephone this a winning activity!  

File for the simplifying radicals dry out erase function mat is uploaded here.  

Reviewing Prime Factorization at the High School Level

algebra Algebra 1 Birthday Cake Method Factor Trees foldable graphic organizer interactive notebook Posters Prime Factorization Prime Numbers printable Radicals

Reviewing Prime Factorization at the High School Level

My Algebra 1 students are currently working through our unit of measurement on radicals.  I already blogged close the dry erase piece of work mat I made for my students to operate to organize their piece of work for simplifying radicals. 

Before nosotros could genuinely laid out to simplify radicals, nosotros needed to review how to notice the prime factorization of a number.  This is a science they should direct hold learned earlier reaching high school, but I wanted to review it to brand certain my students had an fifty-fifty footing.  

My students were taught to brand component trees to notice the prime factorization.  That's the way I was taught, too.  But, when I was completing my educatee didactics at Edison Preparatory School, ane of the eighth aeroplane teachers invited me to her Algebra 1 cast to acquire close the birthday cake method for finding prime factorization.  It was LOVE at showtime sight!  

I demonstrate both methods to my students together with allow them select the method they prefer. 

Many students prefer the component tree method because yous tin start alongside ANY 2 numbers that multiply to the given number.  Then, yous conk on alongside finding factors until all of the factors are prime.

The argue I effort to steer students away from the component tree method is that it tin acquire messy.  I direct hold seen likewise many students produce a component tree similar the occupation higher upwards together with write the prime factorization equally 2^2 * iii * v instead of 2^3 * iii * 5.  

The birthday cake method tin accept a flake longer to acquire started because yous must notice a prime let on that divides into the given number.  You tin start alongside whatsoever prime let on that divides into the number, but many of my students select to operate 2, 3, 5, 7, etc inwards that order. 

I dear that the birthday cake method is then streamlined.  Instead of searching for all of my prime factors inwards a tree, my prime factors are all lined upwards nicely for me.

To aid my students shout out upwards their prime numbers, I created a quarter canvas alongside each of the prime numbers below 100 for my students to gum inwards their notebooks.  I direct hold a few students repeating Algebra 1 for the minute time.  They asked me why I hadn't given them something similar this end year!  I approximate that way they constitute it useful!

Influenza A virus subtype H5N1 few years ago, I created a prime numbers banner poster that my students oftentimes reference.

After discussing the 2 methods I presented for finding prime factorization, I gave my students a practise mass which gave them a gamble to effort out both methods.

After giving students a flake of fourth dimension to piece of work each problem, a educatee volunteer came to the SMARTBoard to acquaint a solution.  We alternated methods alongside each solution presentation.

My students were SHOCKED to notice out that they ever got the same prime factorization fifty-fifty though they took many dissimilar paths to acquire there!

Now that we've been simplifying radicals for awhile, my students direct hold started to realize that nosotros direct hold to hold figuring out only about of the same prime factorizations over together with over together with over.  One of my eighth graders remarked that it would move cool to direct hold something inwards our notes that gave us every unmarried prime factorization.

I took this thought together with ran alongside it.  Kinda.  I did brand them a tabular array to gum inwards their notebooks for the prime factorization of the numbers betwixt 1 together with 100.

I typed the prime numbers inwards large impress inwards shaded cells.  I typed the composite numbers inwards modest impress inwards unshaded cells.  This way students direct hold room to write inwards the prime factorization when they notice it.  Then, inwards the future, they tin operate the prime factorization for that let on without making only about other birthday cake or component tree.  

Some of my students genuinely took to this together with eagerly worked on filling out each box later finishing their quiz.

Hopefully I haven't made whatsoever mistakes when filling mine out.  I direct hold to tell that it came inwards handy when I was making answer keys for our adding together with subtracting radicals quiz today!

I'll postal service to a greater extent than close how I'm didactics my students to simplify radicals soon.  I experience similar my students direct hold a much greater conceptual agreement of how radicals piece of work than ever before!  

Files are uploaded here. 

My Most-Referenced Math Classroom Decorations

Classroom Decor Greek Alphabet Inequalities Order of Operations Perfect Cubes Perfect Squares Place Value Posters Prime Numbers printable slope

My Most-Referenced Math Classroom Decorations

As I start to intend almost how to decorate my classroom for the upcoming schoolhouse year, I am reflecting on concluding year's classroom design. What was useful? What was cute but ended upward beingness a waste materials of time? Today I desire to part the meridian x classroom decorations that my students genuinely used too referenced on a regular basis. In a sense, these are classroom must-haves. These are the decorations that made my students started complaining when I took them downward during the concluding calendar week of school!

Math Symbols Posters - The most referenced symbols on these posters are greater than, greater than or equal to, less than, too less than or equal to. My students know that these are e'er on the wall to reference whenever they aren't quite sure enough what symbol they are dealing with.

I genuinely made to a greater extent than of these posters than volition jibe on my wall. So, I conduct which ones to hang upward each twelvemonth based on which classes I am teaching. You tin dismiss download the file for these posters here.

Prime Number Banner - My students are oft scream for if a sure enough release is prime. So, a few years agone I made a prime number release banner that goes from 2 to 107. We run this all the time. I fifty-fifty honor myself using it! My students conduct keep a prime number release nautical chart inward their notebooks, but it's often quicker for them to merely glance at the wall. This poster gets used an extra sum when nosotros are working through our unit of measurement on radicals! You tin dismiss download the file for this prime number release banner here. 

Horizontal too Vertical Number Lines - I dearest release lines. And, my students genuinely dearest release lines. I genuinely conduct keep 3 release draw of piece of job posters hanging upward inward my room. I conduct keep 2 vertical release lines that are hung on contrary walls. I created the file for this release draw of piece of job myself, too I blogged almost it here.

My horizontal release draw of piece of job gets the most run from students. I oft run into them alongside their pencils inward the air equally they count off spaces on the release line. This release draw of piece of job was printed from a PDF file created past times Frank Tapson. I blogged almost the procedure of making it (and linked to the file) here. This past times year, I added positive too negative infinity signs for the outset time. You tin dismiss honor out to a greater extent than almost those here. 

Perfect Squares too Cubes - These posters were inspired past times blog post.

Order of Operations - Even though my high schoolhouse students conduct keep been learning almost the social club of operations since simple school, I honor that they yet demand a reminder. They are also used to pretty much exclusively seeing problems involving parentheses. So, the fact that nosotros genuinely produce all grouping symbols which include crazy things similar absolute value bars, radicals, too vinculums seems crazy to them. This display tries to assist alongside that. You tin dismiss download the files here.

Horizontal/Vertical Lettering - There is something almost the words horizontal too vertical that tricks upward my students every year. I've institute that the best agency to bargain alongside this is to position the words upward on the wall alongside the proper orientation. I could conduct keep used pre-cut lettering for this, but I decided to merely selection a fun font too impress out the letters. You tin dismiss honor the file I created to brand these here.

Left/Right Reminders - Some of my students also create out alongside left versus right. So I hang upward a reminder on the wall every twelvemonth too thence it's at that topographic point for them if they demand it. Download here.

Greek Alphabet too Place Value Posters - I'm non sure enough what it is, but my students are intensely curious almost the Greek Alphabet. I position this poster upward every fourth dimension I learn trig since nosotros bargain alongside theta too thence much. It's also keen for showing students where the delta symbol inward the gradient formula comes from inward Algebra 1. I oft honor students merely studying the letters randomly. They dearest to endeavor too pronounce the names of the unlike letters. You tin dismiss honor the file to brand this for your ain classroom here.

Some of my students conduct keep problem reading numbers aloud, too thence the house value posters assist alongside that. I fifty-fifty honor myself referencing it sometimes! Download here.

Includes vs. Excludes Reminder Posters - I made these posters to assistance my students alongside graphing inequalities inward Algebra 1. My students didn't reference them much at all when nosotros were working on one-variable inequalities. But, they used them ALL. THE. TIME. when nosotros were working alongside two-variable inequalities. I had a pupil retaking a quiz on two-variable inequalities during the concluding calendar week of school. I had already taken these posters down, too the pupil made sure enough to allow me know how displeased she was alongside my actions! Download them here.

Four Types of Slope (Adventures of Slope Dude) - I adore educational activity my 9th graders almost gradient every year. I also adore here.

Pythagorean Triples - I taught a trigonometry degree this past times year. We often institute ourselves inward the scenario where nosotros needed to produce the pythagorean theorem to honor a missing side. It was dainty to hold upward able to cheque the triples too run into if nosotros could honor the answer without genuinely having to produce the pythagorean theorem. You tin dismiss download these here.

I hold off frontwards to incorporating fifty-fifty to a greater extent than math into my classroom decorations inward the future!