EAST ALLEN COUNTY SCHOOLS
Bundle 1
Algebra I
Number Sense
Big Idea: Real Operations
Enduring Understandings
Essential Questions
Numbers can be grouped into different sets.
Every rational number can be written as a fraction.
The sets of rational and irrational numbers, together, complete the Real Number
Set.
The Order of Operations is a universal method used to simplify expressions.
Performing a single operation with a rational and irrational number produces an
irrational number.
There is a unique relationship between squaring and finding the square root and
cubing and finding the cube root.
Estimation can be used to make a reasonable prediction of the outcome of a
computation.
Positive integer exponents represent repeated multiplication.
The Pythagorean Theorem can be used to identify lengths of sides for right
triangles.
Indiana Standards
8.1.2
8.1.3
8.1.6
8.1.7
8.2.1
8.2.3
8.2.4
8.3.3
8.3.4
8.4.5
8.5.1
A1.1.1a
What is the difference between rational and irrational numbers?
What is the result of a computation that involves an irrational and a rational
number?
Why is it necessary to have an Order of Operations to simplify numerical
expressions?
How and when can estimation and mental math strategies be used?
When is it appropriate to use Properties of Real Numbers?
What is the relationship between squaring a number and finding the square root
of a number and the cubing and a number and finding the cube root or a
number?
How could dimensional analysis by used in real-life situations?
What is a real-life application of the Pythagorean Theorem?
Core Vocabulary
A1.1.1b
A1.1.3a
A1.1.3b
A1.1.5a
Common Core
8.NS.1
8.NS.2
8.EE.1
8.EE.2
8.G.5
8.G.6
8.G.7
8.G.8
N.Q.1
N.Q.3
N.RN.3
A.SSE.1
A.SSE.1a
Bundle Performance Task
You have been chosen to put the Pythagorean Theorem to use in real-life. You need to find at least 10 triangles in a real-life setting and use the Pythagorean
Theorem to check to see if the triangles are right triangles. Students should then state whether the side lengths that they found of the triangle were Rational or
Irrational while also giving an explanation. Students may need to convert the side lengths into one measurement. (Covert 5ft 2 in to 62 in). Students should try to
be as exact as possible using fractions or decimals if needed. Another option would be for the students to measure the diagonal of a rectangle along with the length
and width to see if it has ninety degree angles (Students could measure a door or window opening). Students also need to research using the IPad careers that use
the Pythagorean Theorem. They should then write a report of their findings.
ALGEBRA I
Math Bundle 1
Quarter 1
Aug - Sept
Big Idea: Real Operations
Number Sense
Real Operations
Indiana Learning Targets
Add, subtract, multiply, and divide
rational numbers (integers, fractions, and
terminating decimals) in multi-step
problems.
Use estimation techniques to decide
whether answers to computations on a
calculator are reasonable.
-Prentice Hall Algebra 1 Lesson 1-2, 1-4, 1-5, and 1-6
-Pearson iBook Algebra 1 Lesson 1.2, 1.5, and 1.6
Operations with Integers
Dry Erase Activity
Board Races
Quiz
Homework
Written Explanation of Estimation
Quiz
Homework
Use mental arithmetic to compute with
common fractions, decimals, powers,
and percentages.
Interpret positive integer powers as
repeated multiplication and negative
integer powers as repeated division or
multiplication by the multiplicative
-Prentice Hall Algebra 1 Lesson 1-2, 1-4, 1-5, and 1-6
-Pearson iBook Algebra 1 Lesson 1.2, 1.5, and 1.6
Quiz
Homework
-Prentice Hall Algebra 1 Lesson 1-2
-Pearson iBook Algebra 1 Lesson 1.3
Written Explanation of Definition
Quiz
Homework
8.1.3
Understand that computations with an
irrational number and a rational number
(other than zero) produce an irrational
number.
Use the inverse relationship between
squaring and finding the square root of a
perfect square integer.
Calculate and find approximations of
square roots.
8.2.1
8.2.3
8.2.4
8.3.3
Evidence of Learning
Written Explanation of Definition
Quiz
Homework
Know that every rational number is either
a terminating or repeating decimal and
that every irrational number is a
nonrepeating decimal.
8.1.7
Resource of Ideas
-Prentice Hall Algebra 1 Lesson 1-3
-Pearson iBook Algebra 1 Lesson 1.3
Rational Number Operations
Irrational Numbers
Number Set Definitions
-Prentice Hall Algebra 1 Lesson 1-3, 1-4, 1-5, and 1-6
-Pearson iBook Algebra 1 Lesson 1.5 and 1.6
Rational Number Operations
Using Rational Numbers
-Prentice Hall Algebra 1 Lesson 10-3
-Pearson iBook Algebra 1 Lesson 10.3
Square Roots
-Prentice Hall Algebra 1 Lesson 10-3
-Pearson iBook Algebra 1 Lesson 10.3
Square Roots
8.1.2
8.1.6
G8- Bundle 1
-Prentice Hall Algebra 1 Lesson 1-2, 1-4, 1-5, and 1-6
-Pearson iBook Algebra 1 Lesson 1.2, 1.5, and 1.6
Written Explanation of Definition
Quiz
Homework
Dry Erase Activity
Quiz
Homework
Dry Erase Activity
Quiz
Homework
Real Operations
G8- Bundle 1
inverse.
8.3.4
Use the correct order of operations to
find the values of algebraic expressions
involving powers.
-Prentice Hall Algebra 1 Lesson 1-2
-Pearson iBook Algebra 1 Lesson 1.2
8.4.5
-Prentice Hall Algebra 1 Lesson 11-2
-Pearson iBook Algebra 1 Lesson 10.1
-Prentice Hall Algebra 1 Lesson 4-1
-Pearson iBook Algebra 1 Lesson 2.6
Quiz
Homework
A1.1.1a
Use the Pythagorean Theorem and its
converse to solve problems in two and
three dimensions.
Convert common measurements for
length, area, volume, weight, capacity,
and time to equivalent measurements
within the same system.
Evaluate real number expressions.
Create a Problem and Trade
Dry Erase Activity
Quiz
Homework
Quiz
Homework
A1.1.1b
Order real number expressions.
-Prentice Hall Algebra 1 Lesson 1-3
-Pearson iBook Algebra 1 Lesson 1.1 and 1.2
Operations with Integers
-Prentice Hall Algebra 1 Lesson 1-3
-Pearson iBook Algebra 1 Lesson 1.3
A1.1.3a
Simplify expressions by using the
associative and commutative properties
to combine like terms.
-Prentice Hall Algebra 1 Lesson 1-8
-Pearson iBook Algebra 1 Lesson 1.4
Algebraic Properties
Create a Problem and Trade
Quiz
Homework
Dry Erase Activity
Quiz
Homework
Dry Erase Activity
Quiz
Homework
A1.1.3b
Simplify linear expressions by using the
distributive property.
-Prentice Hall Algebra 1 Lesson 1-7
-Pearson iBook Algebra 1 Lesson 1.7
Algebraic Properties
Dry Erase Activity
Quiz
Homework
A1.1.5a
Use dimensional unit analysis to
organize conversions and computations.
-Prentice Hall Algebra 1 Lesson 4-1
-Pearson iBook Algebra 1 Lesson 2.6
Dry Erase Activity
Quiz
Homework
8.5.1
Correlating CC/Learning Targets
Teacher Notes
Real Operations
G8- Bundle 1