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Interactive Examples
Use the links in the table of contents below to activate interactive examples of many of the concepts covered in Mathematics
11.
CHAPTER 1
| Section # |
Description |
Student Text pgs. |
| 1.1 |
Sierpinski
Triangle – this example illustrates the first six stages
in the development of the Sierpinski Triangle. |
p. 16, F |
| 1.1 |
Midpoints
of a Triangle – this example allows students to investigate
the pattern that develops when the midpoints of the sides of a triangle
are joined in a repeated manner. |
p. 20, Example 4 |
| 1.1 |
Chords
in Circle – this example allows students to construct and
change the position of chords in a circle to allow them to determine
how they must be positioned to create the maximum number of sections
for a given number of chords. |
p. 22, #8 |
| 1.3U |
Diagonals
in a Polygon – this example constructs the diagonals of
a polygon each time the number of sides are increased. |
p. 35, #4 |
| 1.7 |
Sierpinski
Triangle – this example illustrates the first six stages
in the development of the Sierpinski Triangle. |
p. 59, #17 |
| 1.8 |
Compound
Interest Spreadsheet – this example calculates the amount/present
value for a given principal/amount, interest rate and time period.
The yearly balance in the account is displayed |
p.66, Example 1 |
CHAPTER 2
| Section # |
Description |
Student Text pgs. |
| 2.4 |
Compound
Interest Spreadsheet – this example calculates the amount
for a given principal, interest rate and time period. The yearly balance
in the account is displayed |
p. 127, #6 |
| 2.5 |
Annuity
Spreadsheet – this example calculates the amount of an annuity
for a given payment, interest rate and time period. The yearly balance
in the account is displayed |
p. 129, Part 1 |
| 2.5 |
Amortization
Table – this example calculates the life of a loan for a
given principal, payment and interest rate. The yearly balance for
the loan is displayed. |
p. 131, Part 2 |
| 2.7 |
Future
Value of an Annuity – this example calculates the future
value of an annuity for a given payment, rate and time period. The
future amount of each payment is mapped out and then totaled. |
p. 145, Part 1 |
| 2.8 |
Present
Value of an Annuity – this example calculates the present
value of an annuity for a given payment, rate and time period. The
present value of each payment is mapped out and then totaled. |
p. 156, Part 1 |
CHAPTER 3
| Section # |
Description |
Student Text pgs. |
| 3.2 |
Linear
Function Calculator – this example allows the user to define
a linear function of the form f(x) = ax + b.
When a value of x is specified the value of the function is
calculated. |
p. 231, Key Ideas |
CHAPTER 5
| Section # |
Description |
Student Text pgs. |
| 5.2 |
Angles
In Standard Position Plotter – this example allows the user
to explore angles in standard position. An angle is entered and it
is draw on a grid. |
p. 420, Example 1 |
| 5.3 |
Circular
Functions – this example allows
the user to see how the graphs of y = sin x, y
= cos x and y = tan x are related to the points
on a unit circle. As a point move around the circle, the trig ratio
in question is related to the points position and the function is
graphed. |
p. 426, Think, Do, Discuss |
CHAPTER 6
| Section # |
Description |
Student Text pgs. |
| 6.1 |
Triangle
Solver – this example allows the user to see various oblique
triangles solved using the sine and cosine laws.
The steps in the solution are show for each case. |
p. 506, Example 1a |
CHAPTER 7U
| Section # |
Description |
Student Text pgs. |
| 7.1 U |
Spirograph
– this example allows the user to explore the locus definition
similar to SpirographÄ. A small circle is rotated inside a larger
circle. The path of a point on the small circle is traced out. |
p. 16, F |
| 7.1 U |
Locus
of centers of circles inscribed in an angle – this example
allows the user to explore the locus of the centers of circles that
are inscribed in a given angle. |
p. 20, Example 4 |
| 7.1 U |
Locus
of points equidistant from 2 points – this example allows
the user to explore a simple locus definition. Two points are given,
and the locus of points that are equidistant from the 2 points is
generated. |
p. 22, #8 |
| 7.2 U |
Locus
Definition of a circle – this example allows the user to
see animated examples of how to use the locus definition to develop
the equation of a circle. |
p. 35, #4 |
| 7.4 U |
The
locus definition of an ellipse – this example allows the
user to explore the locus definition of an ellipse. An ellipse is
generated using PF1 + PF2 = constant and by paperfolding. |
p. 35, #4 |
| 7.6 U |
The
locus definition of a parabola – this example allows the
user to explore the locus definition of a parabola. Parabolas are
constructed by using PF = PD and by paperfolding. |
p. 35, #4 |
| 7.6 U |
Finding
equation of a parabola given focus and directrix – this
example allows the user to see see animated examples of how to use
the locus definition to develop the equation of a parabola. |
p. 35, #4 |
| 7.7 U |
Parabolic
mirror – this example allows the user to explore the reflective
properties of parabolas. Light rays can be drawn and moved and the
reflected path can be seen. The shape of the parabola can also be
altered. |
p. 35, #4 |
| 7.7 U |
Elliptical
mirror – this example allows the user to explore the reflective
properties of ellipses. Light rays can be drawn and moved and the
reflected path can be seen. The shape of the ellipse can also be altered. |
p. 35, #4 |
| 7.9 U |
The
locus definition of a hyperbola – this example allows the
user to explore the locus definition of a hyperbola. A hyperbola is
generated using |PF1 - PF2| = constant, and by paperfolding. Also
a real life example of a hyperbola is explored in interference patterns
in waves. |
p. 59, #17 |
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