# Q1 W5 Sept 9-13 Pre-Algebra

Teacher Stephanie Durrance 8th Grade Math (Pre-Algebra) 8th 5 Focus 1: Rational and Irrational Numbers
Standard(s) Taught
 MAFS.8.EE.1.2: Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

MAFS.8.EE.1.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions.

Learning Targets and Learning Criteria
 • recognize perfect squares and non-perfect squares and numbers that are perfect cubes. • recognize taking a square root of a number as the inverse of squaring that number and taking a cube root of a number as the inverse of cubing that number.  • evaluate the square root of a perfect square and the cube root of a perfect cube  • justify that the square root of a non-perfect square will be irrational and that the cube root of a non-perfect cube will be irrational.  • determine positive solutions for equations of the form x^2=p and x^3=p   • recognize a square root is the length of the side of a square and a cube root is the length of the side of a cube. • determine the properties of integer exponents by exploring patterns and applying my understanding of properties of whole number exponents. • explain what it means for a number to be raised to a power and how to represent the repeated multiplication symbolically. • explain when parentheses are required for bases when generating equivalent expressions.

apply the properties of integer exponents to simplify expressions.

Classroom Activities
 Monday: Bellringer: Number Sense Problem 9 (5 min) Whole Group: ISN – Finding Perfect Squares and Perfect Cubes (30 min) Small Group: Three rotations at 20 minutes each. (1 hour) Rotation 1 – Teacher Group (Ready Math Book) – Pages 18-21, Recognizing Perfect Squares and Cubes Practice Rotation 2 – Partners (Worksheet)/Intervention Teacher –  Evaluating Perfect Squares and Cubes Rotation 3 – Independent (Technology) – IXL: F.19, F.21 Exit Ticket – Evaluate Perfect Squares and Cubes (6 min) Wednesday: Bellringer: Number Sense Problem 10 (6 min) Finish I-Ready Diagnostic Khan Academy Practice with Perfect and Non-Perfect Squares and Cubes Thursday: Bellringer: Number Sense Problem 11 (5 min) Whole Group: ISN – Intro to Properties of Exponents (30 min) Small Group: Three rotations at 20 minutes each. (1 hour) Rotation 1 – Teacher Group (Ready Math Book) – Pages 8-11 Rotation 2 – Partners (Worksheet)/Intervention Teacher –  Practice with Properties of Integer Exponents Rotation 3 – Independent (Technology) – IXL: F.12 Exit Ticket –  Applying Properties to Exponents (6 min) Lunch All IEP and ESOL accommodations provided daily.
Assignments Due
 ·         Homework: Complete IXL standards F.19, F.21, F.12 ·         Exit Tickets:  Evaluate Perfect Squares and Cubes