Q1 W3 August 26-30 Pre-Algebra

TeacherStephanie Durrance
Subject Area8th Grade Math (Pre-Algebra)
Grade Level8th
Week #3
Unit of InstructionFocus 1: Rational and Irrational Numbers
Standard(s) Taught

MAFS.8.NS.1.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

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.

Learning Targets and Learning Criteria

estimate the value of an irrational number by rounding to a specific place value. 

locate irrational numbers approximately on a number line. 

compare the size of two irrational numbers by using a number line. 

use reasoning to determine between which two consecutive whole numbers a square root will fall on           a number line. 

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 x2=p and x3=p  

explain why √2 is irrational. 

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.

Classroom Activities



Number Sense Problem 4 (5 min)

Whole Group:

Interactive Student Notebook (ISN) – Estimating Irrational Radicals using Perfect Squares and Fractions (30 min)


Small Group:

Three rotations at 20 minutes each. (1 hour)

Rotation 1 – Teacher Group (Ready Math Book) – Pages 26-27 Estimating Irrational Numbers

Rotation 2 – Partners (Worksheet)/Intervention Teacher –  Finish Locating Irrational Numbers on a Number Line Task Cards

Rotation 3 – Independent (Technology) – IXL: F.15, F.17

Exit Ticket:

 Index Card – Estimate the square root of an irrational radical. (6 min)



Number Sense Problem 5 (6 min)

1st Period – Peace Assembly with Jeff Veley (9:15-10:00)

I-Ready Diagnostic



Number Sense Problem 6 (5 min)

Whole Group:



All IEP and ESOL accommodations provided daily.

Assignments Due

·         Homework: Complete IXL standards F.15 and F.17.

·         Exit Tickets: Estimating an Irrational Radical

            SMT 1

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.