BCSD Unit Planning Organizer
Grade 8 – Unit 1 – The Number System
2016-2017
Subject: Mathematics
Unit: The Number System
Grade: 8
Pacing: 8.5 days Instruct/Assess
1.5 days ERI
Total:
10 days
Essential Question(s):
1. What is the relationship between natural, whole, integer, rational, and irrational numbers?
2. How can real numbers be compared on a number line?
3. How can a value that repeats as a decimal be written as a fraction?
Big Idea(s):
1. The real number system is comprised of natural, whole, integer, rational, and irrational numbers, each with
their own defining characteristics.
2. Irrational numbers can be compared within the real number system by using rational approximations or
placing them on a number line.
3. Numeric values can be represented using a variety of formats; rational numbers can be presented as fractions,
decimals, or percentages.
Priority Standards
Supporting Standards
8.NS.1
Explore the real number system and its appropriate usage in real-world situations.
a. Recognize the differences between rational and irrational numbers.
b. Understand that all real numbers have a decimal expansion.
8.NS.2 Estimate and compare the value of irrational numbers by plotting them on a number line.
8.NS.3 Extend prior knowledge to translate among multiple representations of rational numbers
(fractions, decimal numbers, percentages).Include the conversion of repeating decimal numbers to
fractions.
8.NS.1
Explore the real number system and its appropriate usage in real-world situations.
c. Model the hierarchy of the real number system, including natural, whole, integer, rational, and
irrational numbers.
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BCSD Unit Planning Organizer
Grade 8 – Unit 1 – The Number System
“Unwrapped” Concepts and Skills, and Cognitive Demand Level
Concepts to know
Skills to do
Cognitive Demand
Clarification
8.NS.1
Explore the real number system and its appropriate usage in real-world situations.
a. Recognize the differences between rational and irrational numbers.
b. Understand that all real numbers have a decimal expansion.
The real number system
Explore
BT: Remember
DOK: Level 1
Rational and irrational
differences
Recognize
BT: Remember
DOK: Level 1
Decimal expansion of real
numbers, incl. irrational
and rational
Understand
BT: Understand
DOK: Level 2
8.NS.2
Estimate and compare the value of irrational numbers by plotting them on a number line.
Rational approximations
of irrational numbers
Estimate
BT: Apply
DOK: Level 1
Values of irrational
numbers using a real
number line
Compare
BT: Analyze
DOK: Level 2
8.NS.3 Extend prior knowledge to translate among multiple representations of rational numbers (fractions,
decimal numbers, percentages). Include the conversion of repeating decimal numbers to fractions.
Among multiple
representations of
rational numbers,
including conversion of
repeating decimals to
fractions
Translate
BT: Understand
DOK: Level 3
Vocabulary
Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using
appropriate mathematical language. The terms students should learn to use with increasing precision within this unit are
listed below.
The Number System: natural numbers, counting numbers, whole numbers, integers, rational numbers, irrational
numbers, real numbers, estimate, repeating decimal, terminating decimal, square root, perfect square
Required Resources
Supplemental Resources
Digits by Pearson – Topic 1
Explore Learning – Gizmos (www.explorelearning.com)
Suggested Gizmos:
 Ordering and Approximating Square Roots
Math Innovations
NCTM Illuminations
Math Assessment Project – map.mathshell.org
Puffin Academy (Educational Web-browser for Digits access)
MobyMax.com
Problem-attic.com
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