Huntsville City Schools - Instructional Guide
2015 – 2016
Course: Algebraic Connections Grades: 10th – 11th
Math Practices
Online Resources
The Standards for Mathematical Practice describe varieties of
expertise that mathematics educators at all levels should seek to
develop in their students. These practices rest on important
“processes and proficiencies” with longstanding importance in
mathematics education. The first of these are the NCTM process
standards of problem solving, reasoning and proof, communication,
representation, and connections. The second are the strands of
mathematical proficiency specified in the National Research Council’s
report Adding It Up: adaptive reasoning, strategic competence,
conceptual understanding (comprehension of mathematical
concepts, operations and relations), procedural fluency (skill in
carrying out procedures flexibly, accurately, efficiently and
appropriately), and productive disposition (habitual inclination to see
mathematics as sensible, useful, and worthwhile, coupled with a
belief in diligence and one’s own efficacy).
Dan Meyer’s Ted Talk about teaching math:
https://youtu.be/qocAoN4jNwc
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Links to his 3-act activities, sorted by standard:
https://docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYd
EhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0
Granite City Math Vocabulary:
http://www.graniteschools.org/mathvocabulary/
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning .
For more:
Other online resources
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Elaboration on each practice from the Common Core website:
www.corestandards.org/Math/Practice/
www.opencurriculum.org is a website that curates activities from all
over the web, sorted by standard.
Kid-friendly language:
www.buncombe.k12.nc.us/Page/37507
http://map.mathshell.org/lessons.php has great formative
assessments and group activities, searchable by standard.
Online tools
www.desmos.com is a free online calculator. Excellent for working
with linear equations, scatterplots, and best-fit lines.
https://teacher.desmos.com/ has some great activities for introducing
and working with functions.
www.geogebra.org is a free online geometry tool. It is great for
working with transformations.
First Nine Weeks
Standard
1.) Create algebraic models for
application-based problems by
developing and solving equations
and inequalities, including those
involving direct, inverse, and joint
variation.
“I Can” Statements
(unwrapped by school teams)
1. I can solve a linear equation,
including application-based problems.
2. I can solve a linear inequality,
including application-based problems.
3. I can solve a direct variation
problem, including application-based
problems.
4. I can solve an inverse variation
problem, including application-based
problems.
Resources
(by school teams)
Math For Your World
(Blitzer)
All of Chapter 4
Pacing
Recommendation
/ Date(s) Taught
9 days
ALEX website Lesson(s)
Standard #1
“Creating a Payroll
Spreadsheet”,
“Rates and Taxes”
Project Ideas:
Oil Spills on Land
2
5. I can solve a joint variation
problem, including application-based
problems.
5.) Determine approximate rates
of change of nonlinear
relationships from graphical and
numerical data.
2.) Solve application-based
problems by developing and
solving systems of linear
equations and inequalities.
1. I can approximate rates of change
of nonlinear relationships of
graphical data
2. I can approximate rates of change
of nonlinear relationships from
numerical data
1. I can solve a system of linear
equations.
2. I can solve a system of linear
inequalities.
3. I can apply systems of linear
equations and inequalities to
application-based problems.
Direct Variation Mini Project
Web Pages:
Direct, Inverse, and Joint
Variation
Inverse Variation Project
Adjusting Recipe Lesson
Plan
Math For Your World
(Blitzer)
Chapter 5.1,5.2,5.3
9 days
ALEX website Lesson(s)
Standard #5
“What’s the Real cost of the
Car?”,”Predicting Your
Financial Future”, “Make a
Conjecture”
Web Sites:
Non-constant rates of
change Chapter 4
Linear and Nonlinear
Relationships
Math For Your World
(Blitzer)
Chapter 5.4 and 5.5
9 days
ALEX website Lesson(s)
Project Ideas:
Systems of Linear Equations
Project
Making the Band Project
Project Ideas
3
3.) Use formulas or equations of
functions to calculate outcomes of
exponential growth or decay.
1. I can use formulas to calculate
outcomes of growth and decay.
2. I can use equations of functions to
calculate outcomes of exponential
growth and decay.
ALEX website Lesson(s)
“Retirement: Show Me the
Money!”
“Liquidity for Success”
“Exponential Growth and
Decay”
“Rags to Riches or Riches to
Rags?”
“The National Debt Wars”
“Predicting Your Financial
Future”
9 days
Projects:
Exponential Growth and
Decay in the Real World
M&M Lab
Rhinos and M&Ms
4
Huntsville City Schools - Instructional Guide
2015 – 2016
Course: Algebraic Connections Grades: 10th – 11th
Second Nine Weeks
Standard
“I Can” Statements
(unwrapped by school teams)
Resources
(by school teams)
Pacing
Recommendation
/ Date(s) Taught
12.) Create a model of a set of
data by estimating the equation of
a curve of best fit from tables of
values or scatter plots.
1. I can create a model of given a set of data.
2. I can create a table of values then estimate
Math For Your World (Blitzer)
Chapter 12.1,12.2 and 12.3
ALEX website Lesson(s)
Standard #12
“National Debt and Wars”
“Ballistic Statistics”
10 days
7.) Use analytical, numerical, and
graphical methods to make
financial and economic decisions,
including those involving banking
and investments, insurance,
personal budgets, credit
purchases, recreation, and
deceptive and fraudulent pricing
and advertising..
1. I can use analytical methods to make
financial and economic decisions.
2. I can use numerical methods to make
financial and economic decisions. 3. I can use
graphical methods to make financial and
economic decisions.
Math For Your World (Blitzer)
Chapter 7 and 8
ALEX website Lesson(s)
Standard #7
“Let’s Move to College”
“My Future Life: Let’s Get Real”
“My First Apartment”
“FAFSA can be Taxing!”
“What’s the Real Cost of That Car?”
30 days
5
Huntsville City Schools - Instructional Guide
2015 – 2016
Course: Algebraic Connections Grades: 10th – 11th
Third Nine Weeks
Standard
8. Determine missing
information in an
application-based
situation using properties
of right triangles,
including trigonometric
ratios and the
Pythagorean Theorem.
9. Analyze aesthetics of
physical models for line
symmetry, rotational
symmetry, or the golden
ratio.
“I Can” Statements
(unwrapped by school teams)
Resources
1. Use properties of right triangles to
solve application-based problems.
2. Use trigonometric ratios to solve
application-based problems.
3. Use the Pythagorean Theorem to
solve application-based problems.
Math For Your World 10.2, 10.6
Additional topics include: angle of
elevation, angle of depression, inverse trig
functions,
1. Analyze physical models for line
symmetry.
2. Analyze physical models for rotational
symmetry.
3. Analyze physical models for the golden
ratio.
Project Ideas: Urban Art Project
Project Home
Right Triangle Sports
ALEX: Fibonacci Poetry;
Symmetry: Theory, Reality and Art!;
Let’s Tessellate;
Golden Ratios of the Body, Architecture, and
Nature
Pacing
Recommendation
/ Date(s) Taught
12 days
ALEX: Proofs into Practice: The
Pythagorean Theorem in the Real World;
I Can Determine The Height Of A Rocket!;
The Clock Tower
10 days
Illuminations: Golden Ratio
Additional topics include: tessellations,
regular polygons, vertices, and angles;
identify lines of symmetry
Project Ideas: The Fibonacci Sequence in
Visual Arts
Investigating Beauty with the Golden Ratio
Design an Urban Garden
Web Page:
http://www.mathsisfun.com/geometry/symme
try-rotational.html
Aesthetics of Symmetry
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1.
10. Critique
measurements in terms
of precision, accuracy,
and approximate error.
11. Use ratios of
perimeters, areas, and
volumes of similar
figures to solve applied
problems.
Critique measurements in terms of
precision.
2. Critique measurements in terms of
accuracy.
3. Critique measurements in terms of
approximate error.
Additional topics include: how to specify
measurement with its unit of greatest
precision, how to interpret a measurement
with the unit of greatest precision, finding
the range of values given a measurement
and its units of greatest precision,
calculating percent error given
measurements.
1. Use ratios of perimeters of similar
figures to solve applied problems.
2. Use ratios of areas of similar figures to
solve applied problems.
3. Use ratios of volumes of similar figures
to solve applied problems.
Additional topics include: Using proportions
to solve applied problems.
Culture, History, and individual differences in
aesthetic appreciation
ALEX: Cosmic Measurements;
How tall is the school's flagpole?
7 days
Web Page:
http://www.thirteen.org/edonline/ntti/resource
s/lessons/significant/ ;
http://tryengineering.org/lesson_detail.php?le
sson=111
Significant What?
Precision and Accuracy
Close Enough?
Math For Your World 10.2
ALEX: Wildlife Math;
Water Tank Creations Part I;
Creating a Water Tank - Part II "Selling the
Tank";
Area and Perimeter of Various Polygons;
Scale Drawings;
Swimming Pool Math
12 days
Web Pages:
Area Ratios of Similar Figures
7
Huntsville City Schools - Instructional Guide
2015 – 2016
Course: Algebraic Connections Grades: 10th – 11th
Fourth Nine Weeks
Standard
4. Determine maximum and
minimum values of a function
using linear programming
procedures.
6. Use the extreme value of a
given quadratic function to solve
applied problems.
“I Can” Statements
(unwrapped by school teams)
Resources
(by school teams)
1. Determine the maximum values of a
function using linear programming.
2. Determine minimum values of a function
using linear programming procedures.
Web Page:
Linear Programming
Using Linear Programming
Gizmo Activity
Real World Linear Programming
Using Linear Programming in
Real Life
1. Use maximum or minimum value of a
quadratic function to solve applied
problems.
Review quadratics and
factoring: Math For Your World
6.5
Pacing
Recommendation
/ Date(s) Taught
10 days
10 days
ALEX: Now, where did THAT
come from? Deriving the
Quadratic Formula
Family Ties: Parabolas
8