# Q3W22 Algebra Teacher Carol Barnes Algebra 7th/8th Q3W22 Jan.31-Feb.4 Radical Expressions and Equations
Standard(s) Taught

MAFS.912.N-RN.1.2  Rewrite expressions involving radicals and rational exponents using the properties of exponents.

MAFS.912.A-REI.1.2  Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

MAFS.912.N-RN.2.3  Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Learning Targets and Learning Criteria
• apply properties of exponents to simplify algebraic expressions with integer and rational exponents.
• evaluate and simplify expressions containing zero and integer exponents.

• multiply monomials and apply multiplication properties of exponents to evaluate and simplify expressions.

• rewrite equivalent expressions between radicals and rational exponents.

• divide monomials by rationalizing denominators and apply properties of exponents to evaluate and simplify expressions.
• recall rational and irrational numbers.

• explain why the sum of two rational numbers is rational.

• explain why the product of two rational numbers is rational.

• explain why the sum of a rational and irrational number is irrational

• explain why the product of a nonzero rational and irrational number is irrational.

Classroom Activities

Monday/Tuesday:

Review from last week with subs:  (Teacher has flip books printed and assembled for class.)

Whole Group:  Print Notes from attached file:  Multiply Radicals.  Work problems 1,3,5,7,9,11,13,15, & 17.  A video link to a teacher going over the notes and practice problems is at:  https://youtu.be/y7mOL43a0L0

Small Group:  Work even problems 2-18 with classmates at tables.  Check answers on key at teacher’s desk.

Independent:  Homework 4 due Wednesday:  HW4 Multiply Radicals  OR IXL EE.6

WednesdayQuiz on Properties of Exponents from yellow and blue (foldables)

Whole group:  Continue with notes from attached file:  Multiply Radicals.  Work problems 1,3,5,7,9,11,13,15, & 17.  A video link to a teacher going over the notes and practice problems is at:  https://youtu.be/y7mOL43a0L0

Small Group:  Work even problems on note-taking page with classmates at your table.  Check answers with each other.  See key at teacher’s desk.

Independent:  Homework 4:   HW4 Multiply Radicals  OR  IXL EE.6.  If finished from Monday/Tuesday, grade and turn in paper.

Thursday/Friday:

Whole Group:  Take notes on dividing radicals and rationalizing the denominator; use this link to print note-taking paper and practice problems:   Dividing Radicals.  A video link to a teacher going over the notes and practice problems is at:  https://youtu.be/HI_VFfL1EEo   A second page of notes (if time permits) is at this link: Dividing by Monomials-Radicals  A video link to a teacher going over the notes and practice problems is at: https://youtu.be/EJdlEOWfSEI

Small Group:  Finish practice problems on the note-taking page not modeled by teacher on board with classmates at your table.  Check answers to key at teacher’s desk.

Assignments Due

IXL  EE.6  or . . .

IXL EE.7  or . . .