Q1 W5 Sept 9-13 Pre-Algebra

TeacherStephanie Durrance
Subject Area8th Grade Math (Pre-Algebra)
Grade Level8th
Week #5
Unit of InstructionFocus 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

I-Ready Diagnostic

Additional Resources

Khan Academy videos – type any topic in search bar followed by Khan Academy to find an instructional video for additional support.

IXL – Provides support for any grade level math standard.