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Algebra II Quarter 3 Curriculum Map
2013-2014
CCSS for Mathematical Practice:
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Unit
Radicals
Additional Resources
Review
https://www.pearsonsuccessnet.com
Standards
Other Resources, Teacher Resources, Find the Errors,
• (M)ajor
Chapter Projects, Performance Tasks, Activities, Games
Content,
and Puzzles
• (S)upporting
http://www.problem-attic.com/,
http://www.kutasoftware.com/
Content
Create
your
own
worksheets
• (A)dditional
http://nrich.maths.org/frontpage
Content
th
Enriching tasks
• (+) Honors/4
Math
Unit 5: Radicals
Quarter 3
Suggested Instructional Days: 10
Timeline Standards
Learning Expectation
Vocabulary
Resources
1 day
(M) A.SSE.3a Choose and produce an equivalent
Students will find nth roots.
Nth root
Algebra 2
form of an expression to reveal and explain
Principal root
Common
properties of the quantity represented by the
Radicand
Core
expression. Use the properties of exponents to
Index
Sec 6.1
transform expressions for exponential functions.
(S) F.IF.8 a Write a function defined by an expression
in different but equivalent forms to reveal and explain
different properties of the function. Use the properties
of exponents to interpret expressions for exponential
functions.
Building understanding of Radicals – See Department Chair for file
1 day
(M) A.SSE.3a Choose and produce an equivalent
Students will multiply and divide
Simplest form of a
Algebra 2
form of an expression to reveal and explain
radical expressions.
radical
Common
properties of the quantity represented by the
Rationalize the
Core
expression. Use the properties of exponents to
denominator
Sec 6.2
transform expressions for exponential functions.
(S) F.IF.8 a Write a function defined by an expression
in different but equivalent forms to reveal and explain
different properties of the function. Use the properties
of exponents to interpret expressions for exponential
functions.
1 day
•
(M) A.SSE.3a Choose and produce an equivalent
form of an expression to reveal and explain
properties of the quantity represented by the
expression. Use the properties of exponents to
transform expressions for exponential functions.
Students will add and subtract radical
expressions.
(+) Rationalize denominators
Like radicals
Algebra 2
Common
Core
Sec 6.3
Algebra II Quarter 3 p. 1
Algebra II Quarter 3 Curriculum Map
2013-2014
(S) F.IF.8 a Write a function defined by an expression
in different but equivalent forms to reveal and explain
different properties of the function. Use the properties
of exponents to interpret expressions for exponential
functions.
1 day
(M) N.RN.1 Explain how the definition of the
Students will simplify expressions
Rational exponent
meaning of rational exponents follows from
with rational exponents.
extending the properties of integer exponents to
those values, allowing for a notation for radicals in
terms of rational exponents.
(M) N.RN.2 Rewrite expressions involving radicals
and rational exponents using the properties of
exponents.
Radical Expressions Equations and Variations
http://www.bse.ph/download/reports/BSEWEBSITE/2010SEC/Second_Year/TG2Yr/Math_2Q2_Exp_w_Rat_Exp_Wrtn_Rad_form.pdf
1 day
(M) A.REI.2 Solve simple rational and radical
Students will solve square root and
Radical equation
equations in one variable, and give examples
other radical equations.
Square root
showing how extraneous solutions may arise.
equation
A.CED.4 Rearrange formulas to highlight a quantity
of interest, using the same reasoning as in solving
equations.
Radical Row Game – See Department Chair for file
1 day
(M) F.BF.1 Write a function that describes a
Students will add, subtract, multiply
Composite function
relationship between two quantities. Combine
and divide functions.
standard function types using arithmetic
(+) Students will find the composite of
operations.
two functions.
Algebra 2
Common
Core
Sec 6.4
1 day
Algebra 2
Common
Core
Sec 6.7
(A) F.BF.4 a Find inverse functions. Solve an
equation of the form f(x) = c for a simple function f
that has an inverse and write an expression for the
inverse.
Students will find the inverse of a
relation or function.
Inverse relation
Inverse function
One-to-one
function
Algebra 2
Common
Core
Sec 6.5
Algebra 2
Common
Core
Sec 6.6
Algebra II Quarter 3 p. 2
Algebra II Quarter 3 Curriculum Map
2013-2014
1 day
(S) F.IF.7b Graph functions expressed symbolically
and show key features of the graph, by hand in simple
cases and using technology for more complicated
cases. Graph square root, cube root, and piecewisedefined functions, including step functions and
absolute value functions.
Students will graph square root and
other radical functions.
Radical function
Square root
function
2 days
Review and Test
Unit 6: Exponential and Logarithm
Quarter 3
Suggested Instructional Days:
Exponential 1 day
(S) A.CED.1 Create equations and inequalities in one
Students will model exponential
Exponential
And
variable and use them to solve problems. Include
growth and decay.
function
Logarithm
equations arising from linear and quadratic functions,
Exponential growth
and simple rational and exponential functions.
Exponential decay
(S) F.IF.7 Graph functions expressed symbolically and
Asymptote
show key features of the graph, by hand in simple
Growth factor
cases and using technology for more complicated
Decay factor
cases. Graph exponential and logarithmic functions,
showing intercepts and end behavior, and
trigonometric functions, showing period, midline, and
amplitude.
(S) S.ID.6 a, b, c Represent data on two quantitative
variables on a scatter plot, and describe how the
variables are related. Fit a function to the data; use
functions fitted to data to solve problems in the context
of the data. Use given functions or choose a function
suggested by the context. Emphasize linear, quadratic,
and exponential models. Informally assess the fit of a
function by plotting and analyzing residuals. Fit a
linear function for a scatter plot that suggests a linear
association.
HS Task N08: Linear and Exponential Models http://map.mathshell.org/materials/tasks.php?taskid=296&subpage=novice
Exponential Growth Project http://www.uni.illinois.edu/~hcrussel/ICTM2007/coasters.pdf
Exponential Functions http://www.algebralab.org/activities/activity.aspx?file=Science_OnReboundAlgebra2.xml
1 day
(S) F.IF.7 Graph functions expressed symbolically and Students will explore the properties of
Natural base
show key features of the graph, by hand in simple
functions of the form y=abx.
exponential
cases and using technology for more complicated
Students will graph exponential
function
cases. Graph exponential and logarithmic functions,
functions that have base e.
Continuously
showing intercepts and end behavior, and
compounded
trigonometric functions, showing period, midline, and
interest
Algebra 2
Common
Core
Sec 6.8
16
Algebra 2
Common
Core
Sec 7.1
Algebra 2
Common
Core
Sec 7.2
Algebra II Quarter 3 p. 3
Algebra II Quarter 3 Curriculum Map
2013-2014
amplitude.
(M) F.BF.1 Write a function that describes a
relationship between two quantities. Combine
standard function types using arithmetic
operations.
A.CED.2 Create equations in two or more variables to
represent relationships between quantities; graph
equations on coordinate axes with labels and scales.
A.SSE.1a Interpret expressions that represent a
quantity in terms of its context. Interpret parts of an
expression, such as terms, factors, and coefficients.
(S) F.IF.8 a Write a function defined by an expression
in different but equivalent forms to reveal and explain
different properties of the function. Use the properties
of exponents to interpret expressions for exponential
functions.
HS Task A20: Multiplying Cells http://map.mathshell.org/materials/tasks.php?taskid=268&subpage=apprentice
HS FAL: Functions and Everyday Situations http://map.mathshell.org/materials/lessons.php?taskid=430&subpage=concept
HS FAL: Comparing Investments http://map.mathshell.org/materials/lessons.php?taskid=426&subpage=concept
1 day
(S) F.IF.8 a Write a function defined by an expression Students will write and evaluate
Logarithm
in different but equivalent forms to reveal and explain
logarithmic expressions.
Logarithmic
different properties of the function. Use the properties Students will graph logarithmic
function
of exponents to interpret expressions for exponential
functions.
Common logarithm
functions.
Logarithmic scale
(A) F.BF.4 a Find inverse functions. Solve an
equation of the form f(x) = c for a simple function f
that has an inverse and write an expression for the
inverse.
(S) F.IF.7 Graph functions expressed symbolically and
show key features of the graph, by hand in simple
cases and using technology for more complicated
cases. Graph exponential and logarithmic functions,
showing intercepts and end behavior, and
trigonometric functions, showing period, midline, and
amplitude.
1 day
(S) F.LE.4 For exponential models, express as a
logarithm the solution to abct = d where a, c, and d are
numbers and the base b is 2, 10, or e; evaluate the
logarithm using technology.
Students will use the properties of
logarithms.
Change of base
formula
Algebra 2
Common
Core
Sec 7.3
Algebra 2
Common
Core
Sec 7.4
Algebra II Quarter 3 p. 4
Algebra II Quarter 3 Curriculum Map
2013-2014
1 day
(S) F.LE.4 For exponential models, express as a
Students will solve exponential and
logarithm the solution to abct = d where a, c, and d are
logarithmic equations.
numbers and the base b is 2, 10, or e; evaluate the
logarithm using technology.
(M) A.REI.11 Explain why the x-coordinates of the
points where the graphs of the equations y = f(x)
and y = g(x) intersect are the solutions of the
equation f(x) = g(x); find the solutions
approximately, e.g., using technology to graph the
functions, make tables of values, or find successive
approximations. Include cases where f(x) and/or
g(x) are linear, polynomial, rational, absolute value,
exponential, and logarithmic functions.
HS FAL: Having Kittens http://map.mathshell.org/materials/lessons.php?taskid=407&subpage=problem
1 day
(S) F.LE.4 For exponential models, express as a
Students will evaluate and simplify
logarithm the solution to abct = d where a, c, and d are
natural logarithmic expressions.
numbers and the base b is 2, 10, or e; evaluate the
Students will solve equations using
logarithm using technology.
natural logarithms.
Exponential
equation
Logarithmic
equation
Algebra 2
Common
Core
Sec 7.5
Natural logarithmic
function
Algebra 2
Common
Core
Sec 7.6
2 days
Review and Quarter 3 Test
Families of Functions Activity – See Department Chair for Files
NMSBA
8 days
Review for NMSBA
MS Task A26: Temperatures http://map.mathshell.org/materials/tasks.php?taskid=384&subpage=apprentice
Matching Types of Graphs – See Department Chair for Files
NOTES/REFLECTIONS:
Algebra II Quarter 3 p. 5