Standard A.REI.4 – Solve quadratic equations in one variable.

A.REI.4a – Use the method of completing the square to transform any quadratic equation in *x* into an equation of the form (*x* – *p*)^{2} = *q* that has the same solutions.

(Ohio only) Derive the quadratic formula from this form. (advanced)

Vocabulary for this standard:

EngageNY lesson link – This appears in the Fourth module of the EngageNY curriculum.

Quick thoughts:

A

**base**is a number or expression being multiplied in an exponentAn

**exponent**is a number that describes how many times to use the number in a multiplication.A

**coefficient**is a number used to multiply a variable.A

**negative exponent**expresses that the base is the denominator of a fraction instead of the numeratorThe

**multiplicative property of exponents**says that when you multiply powers with the same base you just have to add the exponentsThe

**division property of exponents**says that when you divide powers with the same base you just have to subtract the exponentsThe

**power of a power property**says that when you raise an exponent to another power, you just have to multiply the exponentsVocab

- Kahoot
- Quizizz
- Quizlet

Instruction:

- Desmos

Drills:

- Quizizz
- Kahoot
- Formative