Download Number Sense – 7 days ***REVIEW UNIT

Number Sense – 7 days
Lesson Topics
Integer
Operations
***REVIEW UNIT
Objective
Example Problems
Add, Subtract, Multiply
and Divide Integers.
Common Core
Standards
5 + 12 – 30 -10
-3(-2)(-5)
Classify
Numbers
Use the Real Number
System to classify
numbers. (NEW Core
concept – see example
problem)
Basic Ex. 1:
-6: Real, Rational, Integer
Core Ex. 2:
1
3
5
+ = (Rat. + Rat. = Rat).
2
4
4
7 + 𝜋 = 7 + 3.14 … . = 10.14 …
(Rat. + Irrat. = Irrat.)
2𝜋(4) = 8𝜋 (Irrat∙Rat.= Irrat.)
Core Ex. 3:
What type of measurements would
one use to determine their income
and expenses for one month?
Ans: Rational #’s
Infinite and Finite
Determine whether a set
of numbers is infinite or
finite.
Determine if the set is infinite or
finite.
{𝑥 ϵ whole numbers|3 < x < 10}
HS.N-RN.3
Explain why the sum or
product of two rational
numbers are rational; that
the sum of a rational
number and an irrational
number is irrational; and
that the product of a
nonzero rational number
and an irrational number
is irrational.
HS.N-Q.2.
Define appropriate
quantities for the purpose
of descriptive modeling.
2008 State
Standards
MA09-S01-C02-02
Summarize the properties
of and connections between
real number operations;
justify manipulations of
expressions using the
properties of real number
operations.
MA09-S01-C01-01
Justify with examples the
relation between the
number system being used
(natural numbers, whole
numbers, integers, rational
numbers and irrational
numbers) and the question
of whether or not an
equation has a solution in
that number system.
MA09-S01-C02-02
Summarize the properties
of and connections between
real number operations;
justify manipulations of
expressions using the
properties of real number
operations.
MA09-S01-C01-02
Sort sets of numbers as
finite or infinite, and justify
the sort.
Order of
Operations
Apply the order of
operations to simplify an
expression (including
distribution, combing like
terms and absolute
value)
3(𝑥 + 3) − 5𝑥 ∙ 2
1
(4𝑥 + 6) − 2𝑥 + 10 ∙ 3
2
MA09-S01-C02-02
Summarize the properties
of and connections between
real number operations;
justify manipulations of
expressions using the
properties of real number
operations.
These standards should be evident throughout the unit (may not be in each lesson).

HS.A-REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the
previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to
justify a solution method.

HS.A-SSE.1: Interpret expressions that represent a quality in terms of its context.
a. Interpret parts of an expression, such as terms, factors and coefficients.