Essential Understandings

COGNITIVE
LEVEL
QUESTION
CUES/
VERBS
REMEMBER (B1)
UNDERSTAND
(B2)
Tell, List, Describe, Relate,
Locate, Write, Find, State,
Name, Identify, Label,
Recall, Define, Recognize,
Match, Reproduce,
Memorize, Draw, Select,
Recite
Explain, Interpret,
Outline, Discuss,
Distinguish, Predict,
Restate, Translate,
Compare, Describe,
Relate, Generalize,
Summarize
APPLY (B3)
Show, Solve, Use,
Illustrate, Construct,
Complete, Examine,
Classify, Choose,
Interpret, Make, Put
together, Apply,
Calculate, Modify
ANALYZE (B4)
EVALUATE (B5)
Analyze, Distinguish,
Examine, Compare,
Contrast, Investigate,
Identify, Explain,
Separate, Categorize,
Model
Judge, Select, Choose,
Decide, Justify, Debate,
Verify, Argue,
Recommend, Assess,
Discuss, Determine,
Estimate, Weigh, Value,
Defend
CREATE (B6)
Create, Invent, Compose,
Predict, Plan, Construct,
Design, Imagine, Propose,
Formulate, Combine,
Elaborate, Write
Standard/Essential Knowledge and Skills:
Standard 8.1 The student will
a) simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real
numbers; and
b) compare and order decimals, fractions, percents, and numbers written in scientific notation.
Essential Understandings
What is the role of the order of operations when simplifying numerical expressions? The order of operations prescribes the order to use to simplify a numerical
expression.
How does the different ways rational numbers can be represented help us compare and order rational numbers? Numbers can be represented as decimals, fractions,
percents, and in scientific notation. It is often useful to convert numbers to be compared and/or ordered to one representation (e.g., fractions, decimals or percents).
What is a rational number? A rational number is any number that can be written in fraction form.
When are numbers written in scientific notation? Scientific notation is used to represent very large and very small numbers.
Vocabulary:
absolute value
• additive identity property
• additive inverse property
• associative property of
addition
• associative property of
multiplication
• commutative property of
Multiplication
composite
• denominator
• difference
• distributive
• expanded form
• exponent
• exponential form
• expression
• factor
• fraction
• commutative property of
addition
• GCF (Greatest Common
Factor)
• grouping symbols
identity elements
• inequality
• inverse
• inequality
• LCM (Least Common
Multiple)
like terms
• mixed number
• multiplicative identity
• multiplicative inverse
•multiplicative
Property of zero
• whole numbers
• zero power
natural or counting
numbers
• negative number
• number line
• numerator
• numerical expression
Assessment Type and Cognitive Level:
Formative:
Homework Assignments:
Monday
Tuesday
Wednesday
Summative:
• order of operations
• percent
• perfect square
• place value
• tenths
• hundredths
• thousandths
• ten thousandths
positive exponent
• positive number
• power of a number
Thursday
Friday
• prime
• product
• radical
• rational number
• scientific notation
• simplify
• square root
• standard form
• standard notation
• sum
• base
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
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Reflection
Closure
Differentiation
(Above, On,
and/or Below
Grade Level)
Learning Plan, Activities,
Planned Questions
(Include time allotted to specific
activities)
Hook/
Essential
Question
DATE
A
O
B