Integrated Algebra & Geometry: Overview
Overview
View the
Video Introduction to see
how Algebra and Geometry are combined to create cars of the future.
This course is designed to prepare you for success
in college, in the career of your choice, and in your daily lives because it
is designed to
develop your abilities to explore mathematical problems, think critically,
work cooperatively, and to clearly communicate mathematical ideas. You will
be guided to demonstrate a higher level of proficiency in problem
solving, critical thinking communication and you will be able to make
connections between mathematics and other subject areas. This course is
designed for students with strong mathematical skills who are adept at
understanding new mathematical concepts quickly. Assignments extend beyond
the standard Integrated Algebra/Geometry class because they require deeper
thought and the ability to apply that knowledge at a higher level. |
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Standards
Enduring Understandings - important
ideas that students should carry with them years beyond the instruction
received this year.
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Algebra is a way of
thinking. Functions model the real world. Models can assist in
decision-making.
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The
design of all products depends on understanding geometry.
Essential Questions - most important
“big picture” questions students should be able to answer after completing
learning activities.
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How are functions used
to model data? In what ways can we use mathematical thinking to model
real world situations?
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How do you know that
your model is a good one?
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How are linear and non-linear functions
similar and different?
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What does a “solution” to a system of equations mean?
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How can you use a system of equations as a model and its solution to
make a decision or offer advice?
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What does the solution
look like? How can we find an input so that our two functions give the
same output?
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In what ways can you
represent a function? Why would you represent a function in multiple
ways?
Standards:
 Highest
Frequency
 High
Frequency
 Other
Standards and E-Skills
STANDARD 2: Algebra:
Students use algebraic methods to explore, model, and describe patterns and
functions involving numbers, shapes, data, and graphs in problem-solving
situations and communicate the reasoning used in solving these problems.
Benchmark 2.1 Model real world phenomena (for example: distance-verses-time
relationships, compound interest, amortization tables, mortality rates-using
functions, equations, inequalities, and matrices)
Benchmark 2.2 Represent
functional relationships using written explanations, tables, equations and
graphs and describe the connections among these representations.
Benchmark 2.3 Solve problems involving functional relationships using
graphing calculators and/or computers, as well as, appropriate
paper-and-pencil techniques.
2.1a
Model real world phenomena involving linear and non linear relationships
using multiple representations of rules that can take the form of recursive
processes, functions, equations or inequalities.
2.2b Convert from one functional representation to another.
2.3b Solve simple systems of equations using algebraic, graphical, and
numeric methods.
Take
raw data and write a rule that can be used to model the data and make
prediction from it.
Fluency between numeric, symbolic, and graphic representations Solve systems
of equations in two variable using 3 methods: Algebraic, Graphic, Numeric
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