Completing the Square in a Quadratic Expression
Aligned To Common Core Standard:
High School - HSA-SSE.B.3b
How to Complete the Square in a Quadratic Expression - What is a quadratic equation? A quadratic equation is where we convert an equation that looks like this: ax2 + bx + c = 0 into something like this: a(x+d)2 + e = 0. For those who don't know, D = b/2a and e = c - (b2/4a) Let's learn how to complete a square. Suppose that you have an equation like this x2 + bx if you have X twice in the equation that can make solving the equation a bit tricky. So, what can be done? Taking some inspirations from the rules of geometry, we can convert it like this: x2 + bx can be converted to nearly a square. In algebraic form it will look something like this: x2 + bx + (b/2)2 = (x+b/2)2 Hence, completing the square So, when you add (b/2)2 , the square can be completed and (x + b/2)2 has x only once which is far easier to use. These worksheets and lessons have students add a term to convert a quadratic expression into a square of a binomial.
Printable Worksheets And Lessons
- Missing Parts Step-by-step
Lesson- You need to create a square quadratic by adding terms
that are currently blank.
- Guided Lesson
- Once again, solve each problem by supplying the lost term.
- Guided Lesson Explanation
- Everything on here will give you any idea of the level of patience
that you will need to complete these regularly.
- Practice Worksheet
- A let drill and kill always helps us get better.
- Matching Worksheet
- Match the partial quadratics to their missing pieces.
- Completing the Square Five
Worksheet Pack - A very large practice pack for you to work
It is definitely best to start off slow with this one.
I provided a lot of space for students to put their work on these.
Math Skill Quizzes
After the first quiz, they should have this skill down pat.