How To Show Division With Algebra Tiles
Use Algebra Tiles and a Factor Track to model the dividend as a rectangle the known factor divisor a. For each product sketch the tiles you could use.
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Ok but what does this all mean.
How to show division with algebra tiles. Keep the tiles in a resealable bag. Variable rectangles were 15cm x 7cm. Algebra Tiles Part 5.
If you punch a hole in a Ziploc bag students can have a set in their binders to use at home as well as at school. Instruct students to model each expression with the tiles draw the model simplify the expression and write the simplified answer. I 12k 4 ii -12k 4 iii 12k iv - 12 k -4 b In part a two of the products were b In part a explain why some answers are not modelled by the algebra tiles.
Distribute algebra tiles and copies of the Dividing Polynomials Using Algebra Tiles activity sheet. Solve 3x 15 using Algebra Tiles. Solving a simple linear equation using Algebra Tiles.
In the video below I show how I would solve the above problem using Algebra Tiles. Cut the shapes using a craft knife as scissors will pull the foam. Make a rectangular array of the tiles by placing square tiles in the upper left corner and unit 1 tiles in the lower right corner.
Select the tiles which represent the given product ie area. Hold the Ctrl key down while dragging a tile which also makes a copy of the original. Its nice to use paper algebra tiles free here for this example so that an x can be cut in half.
For all real numbers a b and c if a b then. Variable squared squares were 7cm x 7cm. First lets review dividing whole numbers by whole numbers.
About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Enjoy the videos and music you love upload original content and share it all with friends family and the world on YouTube. The Division Property of Equality states.
The black bar stands for the equal sign. I really like to annotate what I am doing as I work. Throughout the integer operation series we have focused only on adding and subtracting integersNow that students have developed a solid understanding of how integers work we will continue the series by introducing the multiplication of integersYES finally onto multiplying negative and positive values as many have requested to date.
We will soon see that dividing whole numbers by unit fractions has the same meaning 6 div 3 means. Solve ½x 4 7 with algebra tiles. Solving Equations in One Variable Model the left and right side of the equation.
We still keep the other half for the end First I cut an x in half to show the ½x. The first step is to copy the tiles above to model the equation. Read the dimensions factors of the completed triangle.
I have used conventional x rather than b. Assessment Questions o Draw a model of the division of a trinomial with a binomial. You might also want to give the students a laminated A3 sheet to work on so they can annotate and write notes as they use the tiles.
I show how using Algebra Tiles can make this process easier to see in the two videos below. Division can be thought of as undoing multiplication. Algebra tile class sets can be very expensive so I have included a master copy of tiles that can be copied on card stock and colored by students and cut out.
Factorising a quadratic expression where the coefficient of x is not 1 Factorising a quadratic expression where the coefficient of x is not 1 another example. Division Perfect Squares and Completing the Square In this the last post of the Algebra Tiles series I will be looking at how you can use the tiles to demonstrate various more advanced ideas such as difference of two. How many groups of 3 are in 6As you can see there are 2 groups of 3 in 6.
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