Lesson 5: Review and Assess

How can we accurately distinguish between rational and irrational numbers based on their decimal expansions?
In what ways do the properties of integer exponents simplify the manipulation of large and small quantities?
How does scientific notation allow us to estimate and perform operations on extreme values effectively?
How can Pythagorean Theorem be used?

Rational and Irrational Numbers  

Decimal Expansion  

Integer Exponents  

Scientific Notation  

Square Root and Cube Root  

Perfect Squares and Perfect Cubes

Pythagorean Theorem

8.NS.A.1-2: Know that there are numbers that are not rational and approximate them by rational numbers.  

8.EE.A.1-4: Work with radicals and integer exponents, including scientific notation.

This prepares students for the SBA Number System and Expressions and Equations assessment targets by practicing items that require rational approximations, exponent rule application, and scientific notation operations.

Description: Culminating lessons that include a comprehensive review of all unit topics followed by a formal summative assessment.  

Purpose: To verify student mastery of foundational number system concepts and algebraic manipulation skills.  

DOK Level: Level 3 (Strategic Thinking) – Students will analyze, evaluate, and solve multi-step problems involving various number formats and operations.

Rational/Irrational Confusion: Difficulty identifying that repeating decimals are rational while non-repeating, non-terminating decimals are irrational.  

Exponent Errors: Incorrectly applying properties of exponents (e.g., adding exponents when multiplying bases).  

Scientific Notation Operations: Failing to adjust the final answer into proper scientific notation after performing multiplication or division.

Targeted Support: Identify students needing additional scaffolding on specific topics. Give organizers or worked problems to review.

Unit Assessment