Get Multiplying And Factoring Polynomials With Algebra Tiles. A Self ...

Expert-Verified Answer Algebra tiles cannot model the multiplication of a linear polynomial by a quadratic polynomial due to their two-dimensional nature, which cannot adequately represent the resulting cubic polynomial. A three-dimensional model using building blocks can represent this multiplication clearly.

Algebra tiles are a manipulative that can help develop student's understanding and confidence with algebra, at many different levels. The tiles employ the area model of multiplication and this needs to be explored and understood if the students are to get the maximum understanding and benefit from their use.

0:03 0:56 The rectangle contains two x squared tiles five x tiles. And three unit tiles. So 2x plus 3 times XMoreThe rectangle contains two x squared tiles five x tiles. And three unit tiles. So 2x plus 3 times X plus one equals two x squared plus 5x Plus 3.

To create algebra tiles, look at the polynomial expression or equation and identify how many of each block there is. Then, match that with the type of block and be careful to note whether the blocks are negative or positive.

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them.

0:34 3:24 This. We can represent the expression 8x plus 12 using algebra tiles. We can arrange the tiles intoMoreThis. We can represent the expression 8x plus 12 using algebra tiles. We can arrange the tiles into two equal groups of four x plus six. But four groups of two x plus three is also possible.

The main limitation of this project is that the tiles were used for one variable linear equations, it would be useful to apply a similar strategy but with more complex maths problems such as the unknown variable on both sides. Curtis (2018) edited a collection of research reports into maths teaching and learning.