# Q1 W3 Sept 14-Sept 18 Pre-Algebra Teacher Stephanie Durrance 8th Grade Math (Pre-Algebra) 8th 3 Focus 1 – Rational and Irrational Numbers
Standard(s) Taught

MAFS.8.NS.1.1: Know that numbers that are not rational are call irrational. Understand informally that every number has a decimal expansion; for
rational numbers show that the decimal expansion repeats eventually and convert a decimal expansion which repeats eventually into a rational number.

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

• convert a rational number into a decimal.
• classify a number as a rational or irrational based on whether the decimal form is repeating, terminating, or does not repeat or terminate.
• convert a repeating and terminating decimal into a rational number (fraction).
• 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 x^2=p and x^3=p

Classroom Activities

Classroom Activities:

Monday:
Bellringer:
Brain Teaser (5 min)
Whole Group:
Interactive Student Notebook (ISN) – Page 5 Perfect Squares and Perfect Cubes (30 min)
Small Groups:
Rotation 1 (Edgenuity) – Square Roots and Perfect Squares (20 min)
Rotation 2 (Teacher Support) – Worksheet – Operations of Perfect Squares and Cubes (30 min)
Closing:
IXL – F.15, F.20, F.21, F.23 (20 min)

Wednesday:
Bellringer:
Brain Teaser (5 min)
Individual:

Thursday:
Bellringer:
Brain Teaser (5 min)
Whole Group:
Jeopardy style review activity of Rational and Irrational Numbers (40 min)
Independent:
Edgenuity – Focus 1 Test Review, Focus 1 Test (60 min)
Time Permitting:

All IEP and ESOL accommodations provided daily.

Assignments Due

Edgenuity – Square Roots and Perfect Squares, Focus 1 Test, IXLs F.15, F.20, F.21, F.23