PreAlgebra Student Unit Overview

Unit 1: TheNumber System

Essential Question
The “big picture” /
  • How is mathematics used to quantify and compare situations, events, and phenomena?
  • How is mathematics used to measure, model, and calculate change?
  • What are the mathematical attributes of objects or processes, and how are they measured or calculated?

Knowledge Targets
What I need to know / I can explain that for a given set of numbers there are relationships that are always true called properties, and these are the rules that govern arithmetic and algebra.
I can recognize that there is more than one algorithm for each of the operations with rational numbers and that most of the algorithms use equivalence to transform calculations into simpler ones.
I can recognize that any number, measure, numerical expression, algebraic expression, or equation can be represented in an infinite number of ways that have the same value.
I can recognize the set of real numbers is infinite and ordered.
I can identify that whole numbers, integers, rationals, and irrationals are real numbers. Each real number can be associated with a unique point on the number line.
I can define the following terms in relation to the topics of this unit:
Rational Numbers
Irrational Numbers
Reasoning Targets
What I can do with what I know / I can apply and extend understandings of operations with fractions.
I can analyze two quantities and decide whether they are in a proportional relationship.
I can demonstrate an understanding of the relationships between rational numbers.
I can demonstrate an understanding of subtraction of rational numbers as adding the additive inverse.
Skill Targets
What I can demonstrate / I can use the properties of operations, particularly the distributive property, to multiply rational numbers.
I can add and subtract rational numbers.
I can represent addition and subtraction on a horizontal or vertical number line.
I can locate rational and irrational numbers on a number line.
I can determine a decimal expansion for a rational or irrational number.
Product Targets
What I can make to show my learning / I can compare and compute with rational numbers to determine my lunch account balance based on lunch items purchased. (Lunch Account Balance)
I can solve real-world problems with rational numbers. (Cat Food Task)
I can convert between fractions and decimals as necessary in a real-world problem. (Cat Food Task)

Summer 2016Page 1 of 2Updated: 7.13.16