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

Always Sometimes Never for Absolute Value, Opposite, Reciprocal, together with Opposite Reciprocal

Monday, nosotros are starting our outset unit of measurement of Algebra i past times looking at the definitions of absolute value, opposite, reciprocal, as well as reverse reciprocal. Last year, I made the false supposition that my ninth graders would last goodness at finding the absolute value of a number/expression when they came in. In improver to absolute value, I've decided to address opposites, reciprocals, as well as reverse reciprocals at the same time. This should salve us simply about fourth dimension when nosotros instruct to discussing perpendicular lines!

I decided to utilisation an Always/Sometimes/Never activeness to instruct my students thinking close these damage at a deeper level. Here's what I came upward with:


I've currently got a fix of tents inwards the plant for a clothesline activeness to become alongside this lesson.


 I've uploaded the file for this activeness here.

Two Truths together with a Lie Activity Template

I dearest using the Two Truths in addition to a Lie strategy to larn students practicing applying math concepts inwards my class.  Normally, this is used equally an H2O ice breaker. For example, I mightiness percentage the next iii statements:

1. I in i trial fed almonds to a kangaroo.
2. I cause got never eaten steak.
3. I become to the circus every unmarried year.

Two of those statements are true. One is a lie. So, which i is it?

Any guesses?

If you lot guessed that reveal iii was the lie, you lot were correct. To brand this into a math-y or science-y activity, I cause got my students write iii statements virtually our electrical flow theme of study. Two of them require to live on true. One of them needs to live on false.

In the past, I've simply had students write their statements on dry out erase boards in addition to percentage them amongst the class. This year, I decided to cause got students practise a page for their interactive notebooks.

Here's what I came upwardly with:


I intentionally my template generic thus I tin reuse it throughout the twelvemonth for diverse topics. :)

I used it for the showtime fourth dimension when my Algebra 1 students were reviewing the definitions of absolute value, opposite, reciprocal, in addition to contrary reciprocal. I instructed my students to fill upwardly the boxes for A, B, in addition to C amongst 2 truths in addition to a lie. I told them to exit the bottom of the page blank for now.

After students wrote their 2 truths in addition to a lie, I invited students to house their newspaper nether our document camera (affiliate link) for the shape to see. The shape thus had to figure out which disceptation was the lie. Some students actually liked getting to demo their statements off to the class. Others refused. I simply allow those who wanted to practise it volunteer.

It turns out it's actually difficult to cause got pictures of using a document camera!


We had to plow the lights out inwards the room for students to live on able to run into the pencil markings come upwardly up on the document camera.



Once everyone who wanted a plow had a peril to percentage their statements amongst the class, I had my students consummate the bottom of the paper. They had to specify which disceptation was a prevarication in addition to WHY the disceptation was a lie.





You tin download the template I created for this action here.

War Activity for Practicing Absolute Value, Opposite, Reciprocal, too Opposite Reciprocal

I powerfulness convey went a flake crazy when I started making activities for our showtime science of the yr inwards Algebra 1. So, you'll convey to position upwardly amongst quite a few posts involving activities for practicing absolute value, opposite, reciprocal, together with contrary reciprocal.


Today, I desire to portion a nation of war activity I created. My sis together with I loved playing nation of war when nosotros were kids. Most games weren't that exciting. Whoever had the most aces almost ever won. But, in that location was simply something exciting well-nigh throwing downward a carte du jour to run across whose carte du jour had the highest value.

While the traditional carte du jour game is alone played amongst 2 people, this do activity tin operate amongst two, three, or fifty-fifty iv students inwards a group. Each grouping gets a gear upwardly of cards. The cards are printed on 2 unlike colors of newspaper together with laminated.


The yellowish cards are criteria cards. There are 15 cards. Three each of v types: original number, absolute value, opposite, reciprocal, together with contrary reciprocal.


The criteria cards larn shuffled together with placed inwards the centre of the playing area. The remainder of the cards are distributed evenly according to the unwrap of players.


The exceed carte du jour on the deck of criteria cards is turned over. This carte du jour tells the players how the winner volition move decided. The business office instrumentalist whose original unwrap is the greatest volition win. Original unwrap is the easiest because students don't convey to produce anything to their numbers to determine the winner.


Each business office instrumentalist turns over the exceed carte du jour on their deck.


8 is the highest original number, together with thence the other 2 players hand their cards to the business office instrumentalist who had 8. These cards are placed on the bottom of the winner's stack.


Now, let's alter the criteria carte du jour together with flip over some novel numbers. This time, students convey to detect the contrary reciprocal of their numbers.


1/3's contrary reciprocal is negative piece the others are positive, together with thence that business office instrumentalist doesn't win. 1/3 > 1/8, together with thence the face-up cards are given to the business office instrumentalist amongst -3.


Up next: Opposite


The contrary of -7 is vii which is the highest value of whatsoever of the opposites (7, 6, 1/4).


Next Round: Absolute Value


My students actually enjoyed this game! They had quite a flake of problem comparison fractions to determine which was larger. I spent a lot of fourth dimension going simply about together with helping students figure out which values were bigger when fractions were involved. This is something they should convey mastered inwards middle school, but we'll simply convey to proceed practicing comparison numbers until they larn it!

Here are a few activity shots:










You tin download the file for this activity here.

Roll a Number Dice Activity for Practicing Absolute Value, Opposite, Reciprocal, as well as Opposite Reciprocal

I mean value I'm almost lastly done sharing activities to review absolute value, opposite, reciprocal, too contrary reciprocal. This was a novel science add-on this year, too then I had to start from scratch amongst making review activities!

To sympathize my rationale for this activity, yous kinda ask to know what my SBG quiz for this science looked like. The quiz was inwards ii sections. Here's the showtime section:

I decided I wanted students to do this, but I didn't desire to simply laissez passer on them do problems. I wanted them to coil dice (affiliate link) to determine their do problems.


So, I ready to making materials to brand this happen.

I created die templates for students to position their rolled die on to cast numbers. 


Next, I created a eleven x 17 template that I decided to telephone telephone "Roll a Number." I printed each template on 11 x 17 bill of fare stock (affiliate link) too slid it inwards an 11 x 17 dry out erase pocket (affiliate link).


Once each grouping had a dry out erase template, dice, too deck of coil a discover cards, it was fourth dimension to start.

Roll a die. This volition determine which box yous volition start with.


Set your locomote out on the appropriate discover too then your instructor tin laissez passer on the sack to a greater extent than easily banking firm check your operate later!


Flip over the transcend bill of fare from your deck of dice/number cards.


Place this bill of fare inwards the prison theater cellular telephone of the tabular array that corresponds to the discover yous rolled on the locomote out earlier. If students rolled a six, I got to select ane for them!


The discover of boxes on your bill of fare tells yous the discover of additional die that must live rolled. In my case, two!


Place the die inwards the empty boxes to cast a number.


If yous weren't lucky plenty to coil a 1 too learn the master number, it's straightaway fourth dimension to figure out the master number. Be careful here. If yous mess this up, there's a skillful endangerment you'll mess upward the entire problem!


Now that I know the master number, I tin laissez passer on the sack easily abide by the absolute value!


I tin laissez passer on the sack besides abide by the reciprocal.


And the contrary reciprocal.


Once the boxes are all filled out, it's fourth dimension to enhance your paw too convey your instructor banking firm check your answers.

There is ane flaw inwards the activity that I did convey to warn students about. It is possible to coil a 2 for absolute value too line a negative die card. Eek!


We talked nearly this possibility too the importance of changing the bill of fare to a positive (easy cheers to lamination)!


This activity gave my students lots of do too led to lots of slap-up conversations. There were many misconceptions that ended upward surfacing that had to live dealt with.

Here are some activity shots:
















You tin laissez passer on the sack download the files for this activity here.