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TOPIC |
ESSENTIAL
QUESTION |
| AUGUST |
1. Models, functions,
and permutations (16 days) |
1. Can
you rearrange data in order to decide how variables are related? 2. Describe
a situation where you can make a prediction based on a pattern. 3. What
connection can you make between the order of operations and the order in
which functions are combin |
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ed? |
| SEPTEMBER |
1.
Linear relationships and functions (12 days) 2. Matrices (14 days) |
1. How might slope
affect the difficulty of various sports? 2. Discuss the differences between
direct variation and slope-intercept form. 3. How does probability fit into
real-world situations, and should it be relied upon? 4. What are some real
life exam |
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ples of data displayed
in matrix format? 5. What are some examples of networks? Analyze their differences and
similarities. |
| OCTOBER |
1. Linear systems (14 days) |
1. What restrictions
are needed in linear programming problems? 2. Having learned all the ways to
solve a system of equations, which types fit which real-world situations? 3.
Discuss the meanings of and differences between two-dimensional figures and
thre |
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e-dimensional figures
as they relate to points in a plan and point in space. |
| NOVEMBE |
1. Quadratic equations and
functions (16 days) |
1. What are some
real-world situations that could be modeled by the graph of a quadratic
equation? 2. Brainstorm to list things that have the shape of a parabola. 3.
How does the length and diameter of an icicle relate? What would the graph look like? |
| DECEMBER |
1.
Polynomials and polynomial functions (14 days) 2. Review & exams. |
1. How
is end-behavior of graphs controlled by the degrees of the equations? 2. How
does factoring a polynomial aid in the graphing of the polynomial? 3. How
does the graphing calculator increase your ability to solve real-world
problems with polynomial g |
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raphs? |
| JANUARY |
1.
Polynomials continued 2. Exponential and logarithmic functions. 3. Rational
functions. |
1.
What are some real world situations that could be modeled using exponents? 2.
Discuss the factors that influence the growth of a rabbit population. 3. What
are the similarities and differences between solving exponential or
logarithmic equations and so |
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lving
algebraic equations? 4. How can direct, inverse, and joint variation be
represented by real world problems? 5. How do speed and time relate? 6. What
techniques have you learned to do in solving equations, and how might you use
them to solve equation |
| FEBRUARY |
1. Rational expressions
continued. 2. Periodic functions and trigonometry. |
1.
What are some things that could be modeled by a sine or cosine wave? 2. How
can the hands of a clock be used to model angles? 3. What are some things
that may be measured using more than one type of unit? |
| MARCH |
|
1. How can the Law of Sines
or Law of Cosines relate to real world problems involving navigation of boats
and planes? |
| APRIL
|
1.
Quadratic relations. 2. Probability and statistics. |
1. What are the
different shapes formed when slicing a cone with a plane? 2. What are some
different shapes you see every day and their properties? 3. Compare the
shapes of a circle and ellipse, and conjecture about differences and
similarities. 4. How ca |
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n you translate shapes,
and how does this relate to translations of polynomials? 5. How could you
collect data, find probabilities, and make predictions? 6. How is mean and standard
deviation used in real-world situations? |
| MAY |
1. Sequences and
series. |
1. How
can the study of patterns relate to real world paintings? 2. How can a
geometric sequence be used to find the value of a painting after many years?
3. How can selecting a committee be done mathematically? |