Using algebra tiles to solve polynomials

Using algebra tiles to solve polynomials

Algebra tiles can be used to represent polynomials. We can also use those tiles to solve polynomials. In this lesson, we will try to solve some polynomials using algebra tiles.
Basic concepts: Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b, Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c, Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c, Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c,
Related concepts: Determining number of solutions to linear equations, Solving systems of linear equations by graphing, Solving systems of linear equations by elimination, Solving systems of linear equations by substitution,

Lessons

  • 1.
    Representing polynomials using algebra tiles:

    Using algebra tiles to solve polynomials
    a)
    2x(x−2){2x(x-2)}

    b)
    (x−3)(4x+1){(x-3)(4x+1)}

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18.
Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
18.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
18.5
Factorising polynomials: x2+bx+cx^2 + bx + c
18.6
Applications of polynomials: x2+bx+cx^2 + bx + c
18.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
18.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
18.11
Evaluating polynomials
18.12
Using algebra tiles to solve polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
NZ Year 10 Maths