Unit 2 in 6th grade is an introduction to algebra.  This is one of my favorite units.  I love order of operations, and I love introducing students to solving equations.  I break the unit up into multiple parts.  Here is part 1.

Exponents

We start the unit talking about exponents so that students can use exponents when we get to prime factorization and order of operations.  I typically spend about a day on this and use Kahoot for practice.  I also incorporate this throughout the unit in brain breaks.  &#;Ok everyone stand up!  2 to the 3rd power.  (Then I give them time to think about what the answer is.)  Do 2 to the 3rd power jumping jacks.&#;

Prime Factorization

Then we review prime and composite numbers before getting into prime factorization.

(I incorporate prime/composite into brain breaks as well.  &#;Think of a prime number.  Do that many sit-ups or push ups.&#;)

I also incorporate a brain break called Factor Hop into this part of the unit as well.  I put four numbers in the corners of my room.  Students go stand next to a number.  I pick a number and if that number is a factor of the number students are standing by they have to move to a different corner, but they are not allowed to walk.  Some students really get into it and have a lot of fun with coming up with other ways to move to a different number.

Which one doesn&#;t belong? works great as a warm-up a few days after going over prime and composite numbers to review this vocab.  Students will also usually bring up factors in our conversation.

Since students typically have already learned how to do prime factorization using the factor tree method, I do a couple examples of that before introducing them a method similar to the birthday cake method I found on Sarah&#;s blog.

I&#;ve started using this method because for a couple reasons.  In my opinion it&#;s more organized than the factor tree method, and I like that it can be applied to other concepts such as greatest common factor as well as with variables.  The high school teachers in my district also use it.

Properties

Then we get into properties of numbers.  We start with the associative property, identity property, and commutative property.  I co-taught with a teacher a couple years ago who was a huge help when it came to teaching properties.  She did a great job of helping students see the connection between what the word actually means and what is happening in the property.

Commutative Property:  You see the word &#;commute&#; so the numbers &#;commute&#; or change places.

Associative Property:  You see the word &#;associate&#;.  For example, you may associate with certain people at basketball practice, and you associate with other people at church.  In the associative property we see numbers &#;associating&#; with different numbers.

Identity Property:  Identity is who you are, so in the identity property the number wants to keep it&#;s identity.  It wants to stay the same.  After we talk about that, I introduce this property by saying, &#;I&#;m a 5.  We&#;re adding.  I want to stay the same.  I want to keep my identity.  What do I need to do?&#;  Then, &#;Ok, now we&#;re multiplying.  I&#;m a 5, and I want to keep my identity.  What do I need to do this time?&#;

Then for practice, we use this Desmos activity from Cathy Yenca.  I edited her version to not include the Distributive property, since we hadn&#;t covered that one yet.

Then I used Sarah Carter&#;s Two truths and a Lie activity.  My students really enjoyed this. You can download the template from here blog post here.

I loved this one from one of my students.  I read it too fast the first couple times and missed their mistake.

For a few days leading up to teaching students the distributive property we do math talks, and this has made teaching the distributive property go SO much better for me.  In almost every class, I will have a student who will use the distributive property in the math talk so we can talk about so-and-so&#;s method of multiplying and then I&#;ll later introduce the term distributive property.

Then for practice, I came up with this Desmos activity.

I color coded the cards, and I usually go over this with students before they start the activity so they don&#;t become overwhelmed when they start.

Order of Operations

I&#;ve started introducing order of operations by having the following up on my SMART board along with an example problem on the whiteboard and having students do a stand and talk to talk about which things need to be done before others.

I&#;ve liked this change.  I enjoy listening to their conversations as they talk, and it also gives me insight into where they are at in their understanding of order of operations as well as how they were taught this as 5th graders.

In every class a student usually brings up PEMDAS, and then we discuss what I don&#;t like about that acronym.  I love that students are able to tell me things like the &#;P&#; stands for parentheses and there are other grouping symbols besides that, and &#;it looks like you have to do multiplication before division, but you don&#;t.  They&#;re on the same level and you read it like a book going from left to right.&#;  It was also music to my ears when a student said, &#;PEMDAS?  What&#;s that?  I&#;ve never heard that before.&#;  To which I replied, &#;Great!  You don&#;t need to know what it means!&#;

This has also become one of my favorite warm-ups of all time.

Over the years, I&#;ve built up a quite a collection of order of operations activities, and I&#;ll pick a few of those for practice.

• Espresso Puzzles from Greg Tang Math (scroll through this page to find the Espresso Puzzles)

Sours: https://countjoywordpress.com/tag/exponents/

5 Ideas for Teaching Exponents

When I taught the properties of exponents in algebra, it was always a breath of fresh air from our other topics. I had taught them about writing equations, solving systems, and there was lots of graphing. When we got to properties of exponents they didn't have to graph and there wasn't as much "writing".

Simplifying exponential expressions is also a fun unit to teach! I love using lots of activities during this unit, instead of homework assignments. Since these types of problems typically don't require lots of work to be shown, if a student makes a mistake they can't always figure out why. If students do lots of activities in class, I can catch mistakes and explain right away.

Check out these ideas and tips for teaching exponents!

Use Puzzles - I have recently developed a new love for puzzle activities.  Students can channel their inner kid and put together a puzzle while working on exponent skills. You can copy them on cardstock and reuse them each year, you can have students cut them out and put them in their interactive notebooks, or you can even have students glue their puzzles together and hang them on the wall! They are an awesome sub day activity because students can work fairly independently and they are self-correcting.  This Properties of Exponents Square Puzzle is a puzzle that can fit in an interactive notebook or can be used as an activity for learning centers.  I like using this Simplifying Exponents Matching Puzzle for students that struggle because they can match the answers.  If you want a more challenging puzzle, this Properties of Exponents with Negative Exponents Tarsia may be just the ticket!

Hang References - Using posters and word walls is a GREAT way to help students remember the properties of exponents.  If students forget one of the rules, everything becomes a mess.  When you hang references, it makes practicing correctly much easier for students.  These Properties of Exponents Posters are quick and easy to print and hang in your classroom.  This Properties of Exponents Mathbook activity is a fun way to have students practice problems and then you can hang them for reference later.  This fun math pennant activityis another great way to display references and student work.  If you want to give students their own reference, this Exponent Rules Bookmark is a great option.

Use Interactive Notebooks - My students strongly prefer their interactive notebooks to taking notes "the regular way".  Having things preprinted helps me ensure they are copying problems correctly. My students love when I give them foldables to organize information. In these Exponents Interactive Notebook Pages, I love the INB page I used that explains the definition of exponents.  This foldable for the Exponent Rules Lesson organizes everything in one spot and even finishes with an exit ticket.  If you need a little more planning, this Exponents Interactive Notebook Unit takes care of everything for you!  I love this Exponent Rules Simplifying Expressions Color by Number for an activity in an interactive notebook.

Clear Up Misconceptions Early - With any topic it's best to clear up misconceptions as early as possible.  In the blog post, Math Misconceptions: Zero and Negative Exponents, there is an awesome explanation about using a table to help students remember the rules about zero and negative exponents. Also, these Tips for Teaching Exponent Rules are a great read.

Let Students Work Together - It's always more fun to work with a partner!  I'm not going to lie, I love when we get to work in groups during inservice.  I like when students "talk math" and they like working together.  Partner worksheets like this Simplifying Exponents Partner Worksheet and any type of stations like this Properties of Exponents Scavenger Hunt are always a hit in my classes.  For something totally different, this Laws of Exponents Battle My Mathship activity is a fun spin on the old game Battleship!  This fun Negative Exponents Number Line Game is another fun way for students to work together.  These Exponent Rules Task Cards would also be a fun way for students to practice together!

If you'd like to see MORE ideas about the properties of exponents, you may want to check out this post with 16 Exponent Rule Activities!

What is your favorite thing to do when you're teaching exponent rules?

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Exponents riddle worksheet

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Exponent Rules Picture Puzzle TPT - Sheet1

next to the problem and the exponent in the small box above the base. If the
answer is correct the boxes will turn green and a part of the mystery picture will be revealed. If the answer is incorrect, the boxes will turn red.

6 12 21
1 x ᐧ x⁵ x 5 (z⁶)² z 9 (13³)⁷ 13
88 14
2 (2¹¹)⁸ 2 6 a⁰ ᐧ 18 18 10 8¹⁰ ᐧ 8⁴ 8
7⁹ 1 9
3 7 7 4 11 6⁰ + 19 20
7⁴ 4⁻⁹
1 y¹⁵ 10 1
4 b⁻² 2 8 y 12 5⁻³ 3
b y⁵ 5

Sours: https://pt.scribd.com/document//Exponent-Rules-Picture-Puzzle-TPT-Sheet1

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How To Solve Exponent Rule Questions - Math Tips For The SAT \u0026 ACT - 2020 SAT \u0026 ACT Strategies

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