Math Analysis 2015-2016 syllabus
Semester 1
Essential Outcome 1 (3weeks)
Students can solve and interpret linear equations
and inequalities
EO1 assessment: Sept 11th
Topics
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Essential Outcome 2 ( 4 weeks)
Students can solve and interpret Quadratic
equations including applications problems
involving projectile motion.
EO2 rocket project
1.Each individual will find their own equation
explanations to reasoning will be scored (based on
template and rubric)
2. Poster (group discusses highest equation and
created poster) Communication score
EO1/EO2 assessment
EO3 Parametric equations (3 weeks)
Students can find the max height, time in the air
and distance of a projectile
Students can use given information about a
projectile to create a set of parametric equations
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EO3 Research Project
EO3 Assessment
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EO4 exponential growth and decay (3-4 weeks)
Students can write exponential equations given a
starting value and a rate of change
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Students can compare data and discern whether
the data is exponentially growing or decaying or
linearly growing or decaying
EO4 Price of products project
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Solving simple linear equations
Solving complex equations with fractions
Interpreting inequalities on a number line
Writing inequalities in interval form
Solving simple and complex inequalities and
rewriting them in interval notation
Scientific notation (especially small numbers)
Cartesian plane, plotting points find the slope of
a line on a graph
Finding the midpoint of a line
Finding the length of a line given 2 points
Finding the slope of a line using slope formula
Finding the slope and y-intercept of a line
Writing linear equations in the form y=mx+b
Writing linear equations in point slope form
Using a table of data to re-write a linear
regression equation
Solving quadratics with factoring, square root
method, and quadratic formula
Solving for the zeroes and min/max of a
quadratic algebraically
Re-writing quadratic equations in vertex form
Writing quadratic equations given projectile
motion situations
Finding max height and time in the air of a
projectile
Calculator practice finding good viewing
windows for normal quadratics
Calculator practice in parametric mode
Writing equations in terms of x and y given
speed and angle of velocity
Solving equations given speed and angle of
velocity
Writing a research paper about a projectile of
interest
Exponential graphs
Pieces of an exponential equation (𝑎 ∗ 𝑏 𝑥 )
Find the rate of change
Find the percentage of growth or decay
Write exponential equations given a starting
value and a percentage of change
Solve application problems involving
exponential growth or decay
EO4 assessment
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Finals EO1- EO4 students pick 2 ( 1 week)
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Compare data to see if it is growing/decaying
exponentially or linearly given a scatter plot and
linreg or expreg equation and a line
Students can discern correlation given a scatter
plot
Review for and take finals
Semester 2
EO1 Financial growth and decay (4-5 weeks)
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Students can find the value an interest bearing investment
Students can find the future value of an investment
Students can find the present value of an investment
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EO1 pick a career project
EO1 Assessment
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EO2 Triangle Trig
Students can find the 6 parts of a right triangle given only
3 parts.
Students can find the 6 parts of a triangle using the law of
sines
Students can find the 6 parts of a triangle using the law of
cosines
EO2 Assessment
EO2 inclinometer write up/use in real life
EO2 Assessment 2
EO4 Solving systems of equations (3 weeks)
Students can solve linear systems of equations for 2
variable equations
Students can solve 3 variable equations algebraically
Students can solve 4 or more variable equations using a
calculator
EO4 assessment (with re-take option)
Finding the value of an annual investment
Finding the value of a compounded investment
(monthly, daily, quarterly)
Finding the value of a continuously compounded
equation
Finding the future value of an investment with
money deposited on a regular basis
Finding the total amount invested and total
amount earned
Find the monthly payments owed on a loan
Finding the cost of a loan
Finding how much a bank made (pick a car team
project) – picture of car with posters and work
shown
Practice explaining which equation to use
(kahoots game?)
Finding the cost of your college degree
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Pythagorean Theorem
Sine, Cosine and tangent ratios
Solving for missing sides give a side and an angle
Solving for a missing angle given 2 sides
Application problems
Building an inclinometer
Solving using the law of sines
Application problems using the law of sines
Solving using the law of cosines
Application using the law of cosines
Practice knowing when to use each (kahoots)
Solving using any method
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Re-writing equations in terms of x or y
Solving systems of equations graphically
Solving systems of equations with substitution
Solving systems of equation with elimination
Deciding which to use when
Solving with any method
Solving 3 variable equations algebraically
Solve 3 or more variable equations with a
calculator
EO5 Matrices (2 weeks)
Students can add, subtract, multiply by a scalar and
multiply matrices
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Addition and subtraction of matrices
Scalar multiplication of matrices
Multiplication of matrices
Application of matrices
Finals EO1-EO5 students pick 2 (1 week )
Juniors project TBD
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Seniors graduate