INTEGRATED MATH II
Syllabus
1. The students will use the Pythagorean Theorem to investigate the
relationship among the lengths of the sides of a right triangle.
2. Will simplify & multiply square roots.
3. Will write if-then statements & their converses & determine if
they are true or false.
4. Will find the surface areas of prisms, cylinders, & pyramids.
5.
Will find the volumes of prisms,
cylinders, pyramids, & cones.
6.
Use ratios of corresponding lengths,
areas, & volumes in similar figures.
7.
Recognize & draw the mirror image of
an object.
8.
Translate & reflect the graph of y =
x2.
9.
Use a table of values to sketch a
parabola.
10.
Use shortcuts for simplifying powers.
11.
Factor & expand algebraic
expressions.
12.
Use factoring to find the x-intercepts of
parabolas.
13.
Multiply two binomials
14.
Use the formula to find the line of
symmetry of a parabola
15.
Factor trinomials
16.
Solve problems about situations modeled
by parabolas.
17.
Know how
a survey part of a population can be used to predict results for
population.
18.
Use an experiment to simulate the results
of a survey.
19.
Learn about different ways to select a
sample.
20.
Learn to raise questions about surveys.
21.
Learn the difference between inductive
& deductive reasoning.
22.
Describe the graphs of functions.
23.
Review linear functions, slope of a line,
& direct variation.
24.
Model & apply relationships in which
one quantity if proportional to the square or cube of another one.
25.
Use negative, zero, & fractional
exponents.
26.
Explore situations in which quantities
repeatedly double or split in half.
27.
Solve systems of linear equations &
inequalities by graphing.
28.
Solve systems of equations by
substitution.
29.
Understand relationship between slope
& parallel & perpendicular lines.
30.
Solve systems of equations using addition
method.
31.
Use matrices to represent data sets &
use matrix operations.
32.
Use matrices to represent changes in size
or position of a polygon.
33.
Recognize when matrices can be multiplied
& find the product of two matrices.
34.
Use technology to find inverse matrices.
35.
Use inverse matrices to solve systems of
equations.
36.
Understand how the coefficients of a
quadratic function influence its graph.
37.
Explore the translations of parabolas.
38.
Solve quadratic equations by graphing
& undoing.
39.
Solve quadratic equations by factoring.
40.
Use the quadratic formula to solve
quadratic equations.
41.
Use the discriminant to find the number
of real solutions to a quadratic equation.
42.
Add, subtract, & multiply complex
numbers.
43.
solve problems involving quadratic
systems.
44.
Describe the characteristics of
quadrilaterals & develop classification skills.
45.
Use the distance, slope, & midpoint
formulas.
46.
Transform geometric figures & learn
how transformations affect their properties.
47.
Represent figures on a coordinate plane
using as few variables for coordinates as possible.
48. Use coordinate geometry & deductive reasoning to verify some
properties of polygons.
49. Use diagrams & tables to count possibilities.
50. Use the multiplication counting principle to find a number of possible
arrangements of items.
51. Find the probability of an event & of mutually exclusive events.
52. Relate probability to odds.
53. Find the probability of independent & dependent events.
54. Find the number of ways to select some items from a group.
55. Find patterns in Pascal’s triangle.
56. Recognize the elements of Pascal’s triangle as combinations.
57. Find the probabilities for experiments that have two outcomes for each
trial & where the probability of each outcome is one half.
58. Find the probabilities for binomial experiments where the probability
of each outcome is not one half.
59. Find the powers of binomials.