Subject Area: Algebra I Grade: 9th

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ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 1
Grade: 9th
Big Idea: Matrices
Question #1:
KNOW: Students will understand that numbers, ways of representing numbers, relationships
among numbers and number systems are means of representing real-world quantities.
How are real world quantities represented and how are they used to solve real-world problems?
Question #2:
KNOW: Students will understand that meanings of and relationships among operations provide
tools necessary to solve realistic problems encountered in everyday life and problems
encountered in mathematical situations.
What are the operational tools and how can they be used to solve everyday life problems?
Question #3:
KNOW: Students will understand that computing fluently and accurately with real numbers and
making reasonable estimates increases the ability to solve realistic problems encountered in
everyday life.
How are reasonable estimates used and how do they increase the ability to solve realistic
problems?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 2
Grade: 9th
Big Idea: Statistics
Question #1:
How can I collect, organize, and analyze data to help make decisions to solve real-world
problems?
Question #2:
How can inferences and predictions I get from data be used to make critical and informed
decisions?
Questions #3:
How can graphical and numerical techniques be used to study patterns and analyze data?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 3
Grade: 9th
Big Idea: Graphing in the Coordinate Plane: Transformations
Question #1:
KNOW: Students will understand that similarity of figures and scale factors are used to analyze
and solve problems.
How can I use similarity and scale factors to analyze and solve problems?
Question #2
KNOW: Students will understand that transformations and symmetry are used to analyze realworld situations (e.g., art, nature, construction and scientific exploration).
How can transformations and symmetry be used to analyze real-world situations?
Question #3
KNOW: Students will understand that representational systems, including coordinate geometry,
are means for specifying locations and describing spatial relationships and are organizers for
making sense of the world around them.
What are representational systems used for in real-world situations?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 4
Grade: 9th
Big Idea: Solving Equations
Question #1
How can accurate computations with real numbers and estimates help us be able to solve realistic
problems?
Question #2
How is proportional reasoning used as a tool for solving everyday situations?
Question #3
How does algebra represent mathematical situations you will encounter in your life?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 5
Grade: 9th
Big Idea: Proportions and Inequalities
Question #1
KNOW: Students will understand that computing fluently and accurately with real numbers and
making reasonable estimates increases the ability to solve realistic problems encountered in
everyday life.
How does number sense increase the ability to solve realistic problems?
Question #2
KNOW: Students will understand that proportional reasoning is a tool for modeling and solving
problems encountered in everyday situations.
How can proportional reasoning be used in everyday situations?
Question #3
KNOW: Students will understand that algebra represents mathematical situations and structures
for analysis and problem solving.
How can proportional reasoning be used to solve problems?
Question #4
KNOW: Students will understand that functions can be written in words, in a symbolic sentence
or in a table or graph
How can functions be represented?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 6
Grade: 9th
Big Idea: Linear Equations
Question #1
How is proportional reasoning a tool for solving everyday situations?
Question #2
How can graphical and numerical techniques be used to study patterns and analyze data?
Question #3
How are patterns, relations and functions used as tools to explain real-world phenomena?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 7
Grade: 9th
Big Idea: Systems of Inequalities and Equations
Question #1
KNOW: Students will understand that algebra represents mathematical situations and structures
for analysis and problem solving.
How can systems of equations and inequalities be used to solve problems?
Question #2
Students will understand that functions can be written in words, in a symbolic sentence or in a
table or graph.
How can functions be represented?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 8
Grade: 9th
Big Idea: Exponents and Radicals
Question #1
How does algebra represent mathematical situations and structure for analysis and problem
solving?
Question #2
How can accurate computations with real numbers and estimate help us be able to solve realistic
problems?
ESSENTIAL QUESTIONS
Understanding "Know" Section
Subject Area: Algebra I
Unit #: 9
Grade: 9th
Big Idea: Exponential Functions and Geometric Sequences
Question #1
KNOW: Students will understand that numbers, ways of representing numbers, relationships
among numbers and number systems are means of representing real-world quantities.
How can exponential functions and geometric sequences represent real-world quantities?
Question #2
KNOW: Students will understand that patterns, relations and functions are tools that help explain
or predict real-world phenomena.
How can geometric sequences be used to predict real-world phenomena?
Question #3
KNOW: Students will understand that algebra represents mathematical situations and structures
for analysis and problem solving.
How can exponential functions and geometric sequences be used to solve problems?
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