Lakewood City Schools
Course: Survey
Revised: April 2010
Full Year, one credit, 5 periods per week, 11th & 12th Grade
Survey is an elective course developed for the student who is not ready to take Algebra 2 and needs to strengthen
math skills. Students will continue their education in algebra and geometry (with an emphasis in algebra) to prepare
them for an Algebra 2 course.
Course of Study for Survey
Revised: April 2010
Page 1 of 10
Lakewood City Schools
Course: Survey
Revised: April 2010
Pacing Chart
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Course of Study for Survey
Revised: April 2010
UNIT 1: Introductory Topics
2 weeks
UNIT 2: Basic Algebra
3 weeks
UNIT 3: Ratios and Proportions
2 weeks
UNIT 4: Linear Equations and Systems
4 weeks
UNIT 5: Ratios and Measurements
2 weeks
UNIT 6: Probability
3 weeks
UNIT 7: Matrices
3 weeks
UNIT 8: Quadratic Equations and Functions
5 weeks
UNIT 9: Polynomials and Polynomial Functions
4 weeks
UNIT 10: Radical Functions and Rational Exponents
4 weeks
UNIT 11: Exponential and Logarithmic Functions
4 weeks
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Lakewood City Schools
Course of Study for Algebra 2
Revised: January 2009
Number, Number Sense and Operations Standard
Standard and Benchmark
A. Demonstrate that vectors and matrices
are systems having some of the same
properties of the real number system
B. Develop an understanding of properties
of representations for addition and
multiplication of vectors and matrices
C. Apply factorials and exponents,
including fractional exponents, to solve
practical problems
D. Demonstrate fluency in operations with
real numbers, vectors and matrices, using
mental computation or paper and pencil
calculations for simple cases and
technology for more complicated cases
Course of Study for Survey
Revised: April 2010
Grade Level Indicators
11N1 Determine what properties hold for
matrix addition and matrix multiplication;
e.g., use examples to show addition is
commutative and when multiplication is not
commutative
Clear Learning Targets
I can…
Strategies/Resources
MM: 1-4, 1-5, 1-7, 1-8
PH Alg 2: 4-2, 4-3, 4-5
Technology: Graphing calculator
11N2 Determine what properties hold for
vector addition and multiplication, and for
scalar multiplication
MM: 1-4, 1-5, 1-7, 1-8
PH Alg 2: 4-3, 4-4
Technology: Graphing calculator
11N1 Determine what properties hold for
matrix addition and matrix multiplication;
e.g., use examples to show addition is
commutative and when multiplication is not
commutative
MM: 1-4, 1-5, 1-7, 1-8
PH Alg 2: 4-2, 4-3, 4-5
Technology: Graphing calculator
11N2 Determine what properties hold for
vector addition and multiplication, and for
scalar multiplication
MM: 1-4, 1-5, 1-7, 1-8, 6-5, 6-6
PH Alg 2: 4-3, 4-4
Technology: Graphing calculator
11N5 Model, using the coordinate plane,
vector addition and scalar multiplication
PH Alg 2: 4-4
11N8 Use fractional and negative exponents
as optional ways of representing and finding
solutions for problem situations
11N4 Use matrices to represent given
information in a problem situation
11N6 Compute sums, differences, and
products and quotients of matrices using
PH Alg 2: 7-1, 7-4, 7-5, 8-1, 8-2, 8-3, 8-4,
8-5
MM: 6-7
PH Alg 2: 4-2, 4-3, 4-4, 4-5
Technology: Graphing calculator
PH Alg 2: 4-2, 4-3, 4-4, 4-5
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E. Represent and compute with complex
numbers
paper and pencil calculations for simple
cases and technology for more complicated
cases
Technology: Graphing calculator
11N9 Use vector addition and scalar
multiplication to solve problems
PH Alg 2: 4-3, 4-4, 4-5
11N3 Represent complex numbers in the
complex plane
PH Alg 2: 5-6
PH Alg 2: 5-6, 5-8, 6-4, 6-5, 6-6
11N7 Compute sums, differences, products
and quotients of complex numbers
Course of Study for Survey
Revised: April 2010
Page 4 of 10
Lakewood City Schools
Course of Study for Algebra 2
Revised: January 2009
Measurement Standard
Standard and Benchmark
Grade Level Indicators
Clear Learning Targets
I can…
Strategies/Resources
A. Explain differences among accuracy ,
precision and error, and describe how each
of those can affect solutions in
measurement situations
11M1 Determine the number of significant
digits in a measurement
B. Apply various measurement scales to
describe phenomena and solve problems
11M2 Use radian and degree measures to
solve problems and perform conversions as
needed
11M3 Derive a formula for the surface area
of a cone as a function of its slant height
and the circumference of its base
MM: 5-1, 7-1, 7-2, 7-3
11M4 Calculate distances, areas, surface
areas and volumes of composite threedimensional objects to a specified number
of significant digits
11M5 Solve real-world problems involving
area, surface area, volume and density to a
specified degree of precision
MM: 5-4
C. Estimate and compute areas and volume
in increasingly complex problem situations
D. Solve problem situations involving
derived measurements
Course of Study for Survey
Revised: April 2010
MM: 1-8, 5-1, 9-7
MM: 2-2, 2-3, 5-2, 5-3, 5-4
PH Alg 2: 6-1, 6-4
MM: 2-2, 2-3, 2-4, 2-5, 5-1, 5-2, 5-4, 7-3, 97
PH Alg 2: 4-4, 7-2, 7-4, 7-5, 8-3, 8-5
Page 5 of 10
Lakewood City Schools
Course of Study for Algebra 2
Revised: January 2009
Geometry and Spatial Sense Standard
Standard and Benchmark
Grade Level Indicators
Clear Learning Targets
Strategies/Resources
I can…
A. Use trigonometric relationships to verify
and determine solutions in problem
situations
See Indicators for Geomety or Algebra 2
B. Represent transformations within a
coordinate system using vectors and
matrices
11G2 Represent translations using vectors
PH Alg 2: 4-4, 5-3, 8-3
11G3 Describe multiplication of a vector
and a scalar graphically and algebraically
and apply to problem situations
PH Alg 2: 4-3
Course of Study for Survey
Revised: April 2010
Page 6 of 10
Course of Study for Algebra 2
Revised: January 2009
Patterns, Functions and Algebra Standard
Standard and Benchmark
Grade Level Indicators
A. Analyze functions by investigating rates
of change, intercepts, zeros, asymptotes and
local and global behavior
11P3 Describe and compare the
characteristics of the following families of
functions: quadratics with complex roots,
polynomials of any degree, logarithms, and
rational functions; e.g, general shape,
number of roots, domain and range,
asymptote behavior
I can…
Strategies/Resources
MM: 2-2, 2-3
PH Alg2: 5-1, 5-2, 5-3, 5-5, 5-8, 6-1, 6-2, 63, 6-4, 6-6, 8-1, 8-3, 8-6
Technology: Graphing calculator
11P4 Identify the maximum and minimum
points of a polynomial, rational and
trigonometric functions graphically and
with technology
PH Alg2: 5-1, 5-2, 6-2
Technology: Graphing calculator
11P5 Identify families of functions with
graphs that have rotation symmetry or
reflection symmetry about the y-axis, x-axis
or y = x
MM: 2-2, 2-3, 2-4, 2-5
PH Alg2: 4-4, 5-2, 6-1, 7-7, 7-8
Technology: Graphing calculator
11P6 Represent the inverse of a function
symbolically and graphically as a reflection
about y=x
11P11 Describe how a change in the value
of a constant in an exponential, logarithmic
or radical equation affects the graph of the
equation
Course of Study for Survey
Revised: April 2010
Clear Learning Targets
PH Alg2: 7-7, 7-8, 8-3, 8-6
PH Alg2: 7-8, 8-2, 8-3
Technology: Graphing calculator
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B. Use the quadratic formula to solve
quadratic equations that have complex roots
11P8 Solve equations involving radical
expressions and complex roots
C. Use recursive functions to model and
solve problems
11P1 Identify and describe problem
situations involving an iterative process that
can be represented as a recursive formula;
e.g., compound interest
D. Apply algebraic methods to represent
and generalize problem situations involving
vectors and matrices
Course of Study for Survey
Revised: April 2010
PH Alg2: 5-6, 5-8, 6-4, 6-5, 6-6, 7-1, 7-3, 75
Technology: Graphing calculator
MM: 2-4, 2-5
PH Alg2: 7-6
11P2 Translate a recursive function into a
closed form expression or formula for the
nth term to solve a problem situation
involving an iterative process
11P7 Model and solve problems with
matrices
PH Alg2: 8-1, 8-2
11P9 Solve 3x3 systems of linear equations
by elimination and using technology and
interpret graphically what the solution
means
PH Alg2: 5-1
PH Alg2: 4-2, 4-3, 4-5
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Lakewood City Schools
Course of Study for Algebra 2
Revised: January 2009
Data Analysis and Probability Standard
Standard and Benchmark
Grade Level Indicators
A. Create and analyze tabular and graphical
displays of data using appropriate tools,
including spreadsheets and graphing
calculators
11D4 Create a scatterplot of bivariate data,
identify trends, and find a function to model
the data
11D5 Use technology to find the Least
Squares Regression Line, the regression
coefficient, and the correlation coefficient
for bivariate data with a linear trend, and
interpret each of these statistics in the
context of the problem situation
B. Use descriptive statistics to analyze and
summarize data, including measures of
center, dispersion, correlation and
variability
Course of Study for Survey
Revised: April 2010
Clear Learning Targets
I can…
Strategies/Resources
MM: 6-4, 9-6
PH Alg 2: 5-1, 6-1, 8-1
Technology: Graphing calculator
MM: 9-6
Technology: Graphing calculator
11D8 Analyze and interpret univariate and
bivariate data to identify patterns, note
trends, draw conclusions and make
predicitions
MM: 2-6, 9-1, 9-2, 9-3, 9-4, 9-6, 9-7
PH Alg 2: 4-2, 6-7
Technology: Graphing calculator
11D10 Understand and use the concept of
random variable and compute and interpret
the expected value for a random variable in
simple cases
11D3 Describe how a linear transformation
of univariate data affects range, mean,
mode, and median
MM: 9-3, 9-4
11D5 Use technology to find the Least
Squares Regression Line, the regression
coefficient, and the correlation coefficient
for bivariate data with a linear trend, and
interpret each of these statistics in the
context of the problem situation
MM: 9-6
Technology: Graphing calculator
MM: 9-7
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C. Design and perform a statistical
experiment, simulation or study; collect and
interpret data; and use descriptive statistics
to communicate and support predications
and conclusions
D. Connect statistical techniques to
applications and consumer situations
Course of Study for Survey
Revised: April 2010
11D6 Use technology to compute the
standard deviation for a set of data and
interpret standard deviation in relation to
the context or problem situation
MM: 9-7
Technology: Graphing calculator
11D8 Analyze and interpret univariate and
bivariate data to identify patterns, note
trends, draw conclusions, and make
predictions
MM: 2-6, 9-1, 9-2, 9-3, 9-4, 9-5, 9-6, 9-7
PH Alg 2: 4-2, 6-7
Technology: Graphing calculator
11D1 Design a statistical experiment,
survey or study for a problem; collect data
for the problem; interpret data with
appropriate graphical displays, descriptive
statistics, concepts of variability, causation,
correlation and standard deviation
MM: 9-1, 9-2, 9-4, 9-5, 9-7
PH Alg 2: 6-7
Technology: Graphing calculator
11D9 Evaluate validity of results of a study
based on characteristics of the study design,
including sampling method, summary
statistics and data analysis techniques
MM: 9-7
PH Alg 2: 5-1
11D1 Design a statistical experiment,
survey or study for a problem; collect data
for the problem; interpret data with
appropriate graphical displays, descriptive
statistics, concepts of variability, causation,
correlation and standard deviation
MM: 9-1, 9-2, 9-5, 9-6, 9-7
PH Alg 2: 6-7
11D9 Evaluate validity of results of a study
based on characteristics of the study design,
including sampling method, summary
statistics and data analysis techniques
MM: 9-1, 9-2, 9-7
PH Alg 2: 5-1
11D11 Examine statements and decisions
involving risk; e.g., insurance rates and
medical decisions
MM: 9-3, 9-4
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