Unit Design Warren County Public Schools Content Area Math

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Unit Design
Content Area
Grade/Course
Unit Title
Duration of Unit
Warren County Public Schools
Math
9th/Algebra 1
Unit 6: Exponents and Polynomials
25 days
Insert unit priority standards(s) below (include numerical and letter codes). Underline the
skills (verbs) students must master and circle the concepts (nouns) that students need to
know.
1) A-APR.A.1: Understand that polynomials form a system analogous to the integers,
namely, they are closed under the operations of addition, subtraction, and multiplication;
add, subtract, and multiply polynomials.
2) A-SSE.A.2: Use the structure of an expression to identify ways to rewrite it.
3) F-IF.C.8b
Write a function defined by an expression in different but equivalent forms to reveal and
explain different properties of the function.
b. Use the properties of exponents to interpret expressions for exponential functions. For
example, identify percent rate of change in functions such as y = (1.02)t,
y=(0.97)t, y=(1.01)12t, y=(1.2) t/10, and classify them as representing exponential
growth or decay.
4) F-LE.A.1c
Distinguish between situations that can be modeled with linear functions and with
exponential functions.
c. Recognize situations in which a quantity grows or decays by a constant percent rate
perunit interval relative to another.
Insert unit supporting standards in italics below (Include numerical and letter codes)
1) N-RN.A.1
Explain how the definition of the meaning of rational exponents follows from extending the
properties of integer exponents to those values, allowing for a notation for radicals in terms
of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want
(51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.
2) N-RN.A.2
Rewrite expressions involving radicals and rational exponents using the properties of
exponents.
3) N-RN.B.3
Explain why the sum or product of two rational numbers is rational; that the sum of a
rational number and an irrational number is irrational; and that the productof a nonzero
rational number and an irrational number is irrational.
Unit Design
Warren County Public Schools
4) A-SSE.B.3a
Choose and produce an equivalent form of an expression to reveal and explain properties of
the quantity represented by the expression.
a.Factor a quadratic expression to revealthe zeros of thefunction it defines.
5) F-IF.C.8a
Write a function defined by an expression in different but equivalent forms to reveal and
explain different properties of the function.
a. Use the process of factoring and completing the square in a quadratic function to show
zeros, extreme values, and symmetry of the graph, and interpret thesein terms of a context.
Unwrap Priority Standards
Concepts (nouns)
Polynomials that form a closed system
Structure of an expression
Equivalent forms a function
Properties of exponents
Exponential growth or decay
Linear functions and exponential functions
Situation that grow or decay by a constant percent
rate
Skills
(verbs)
Understand
Use
Write
Use
Classify
Distinguish
Recognize
Bloom’s Level
(verb)
Understand
Apply
Apply
Apply
Apply
Remember
Remember
Combine priority standards Skills and Concepts columns above to write Learning Targets
below. Add Bloom’s level (number) after each learning target.
LT1 – Add, subtract, and multiply polynomials. (2)
LT2 – Rewrite expressions in multiple ways such as standard form, factored form, etc. (3)
LT 3 – Use the properties of exponents to interpret exponential functions. (3)
LT4 – Recognize situations that have exponential growth or decay. (1)
Determine Big Ideas (lifelong
understandings)
Understanding the importance of
differentiating like terms to simplify
polynomials.
Formative Assessment Lessons.
Create assessments.
Create engaging learning experiences.
Write Essential Questions (Answer Big Idea,
hook student interest.
Why do we have rules?
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