Download Mathematics - Geometry District Course H.S. G.CO.1. Know precise

Mathematics - Geometry
District Course
Course Description
Open to: Grades 10, 11, 12 One Year Course
Prerequisite: C or better in Algebra 1, or pass Intermediate Algebra 1, Instructor/Counselor approval
Content: Students will use an integrated approach to concepts of algebra, geometry, logic and probability with
emphasis on geometry.
Adopted Materials
Instructional Objectives
H.S. G.CO.1. Know precise definitions of angle, circle, perpendicular
line, parallel line, and line segment, based on the undefined notions of
point, line, distance along a line, and distance around a circular arc.
NO.
Performance Objectives
1
Identify vertex, sides, and interior of an
angle.
Identify the basic parts of a circle (center,
radius, and diameter).
Identify parallel vs. perpendicular lines.
Compare and contrast lines, rays and
segments.
2
3
4
Resource
Reference
Instructional Objectives
Standard Reference
None
Assessment
Correlation
Standard Reference
H.S. G-CO.2. Represent transformations in the plane using, e.g.,
transparencies and geometry software; describe transformations as
functions that take points in the plane as inputs and give other points as
outputs. Compare transformations that preserve distance and angle to
those that do not (e.g., translation versus horizontal stretch).
G.4.3.1
NO.
Performance Objectives
Assessment
Correlation
1
Manipulate a given figure to represent
the different transformations (rotation,
reflection, translation)
Represent a translation as a function in
coordinate notation.
Compare transformations that preserve
distance and angle to those that do not.
2
3
Resource
Reference
Instructional Objectives
H.S. G-CO.3. Given a rectangle, parallelogram, trapezoid, or regular
polygon, describe the rotations and reflections that carry it onto itself.
Standard Reference
G.4.3.1
NO.
Performance Objectives
1
Given a figure identify the type(s) of
symmetry the figure has. If it has line
symmetry sketch the figure and the lines of
symmetry. If it has rotational symmetry state
the angle of rotation.
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. G-CO.4. Develop definitions of rotations, reflections, and
translations in terms of angles, circles, perpendicular lines, parallel lines,
and line segments.
G.4.3.1
NO.
Performance Objectives
Assessment
Correlation
1
Develop a definition for a reflection using
perpendicular lines.
Develop a definition for a translation using
parallel lines.
Develop a definition for a rotation using
angles and/or circles.
2
3
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-CO.5. Given a geometric figure and a rotation, reflection, or
translation, draw the transformed figure using, e.g., graph paper, tracing
paper, or geometry software. Specify a sequence of transformations that
will carry a given figure onto another.
G.4.3.1
NO.
Performance Objectives
Assessment
Correlation
1
Given a geometric figure, draw the new
figure under the given transformation.
Given a preimage and an image, specify the
sequence of transformations that will map
the preimage onto the image.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-CO.6. Use geometric descriptions of rigid motions to transform
figures and to predict the effect of a given rigid motion on a given figure;
given two figures, use the definition of congruence in terms of rigid
motions to decide if they are congruent.
G.4.3.1
G.4.1.3
NO.
Performance Objectives
Assessment
Correlation
1
Determine if two given geometric figures are
congruent in terms of rigid motion.
Given two geometric figures transformed by
rigid motion, determine if the conditions of
congruency have been met.
2
Resource
Reference
Instructional Objectives
H.S. G-CO.7. Use the definition of congruence in terms of rigid motions
to show that two triangles are congruent if and only if corresponding pairs
Standard Reference
G.4.1.3
of sides and corresponding pairs of angles are congruent.
NO.
Performance Objectives
1
Given two triangles transformed by rigid
motion, determine if the conditions of
congruency have been met.
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. G-CO.8. Explain how the criteria for triangle congruence (ASA,
SAS, and SSS) follow from the definition of congruence in terms of rigid
motions.
9.4.1.1 Good
10.4.1.1 Good
NO.
Performance Objectives
Assessment
Correlation
1
Describe why ASA, SAS, and SSS satisfy
the congruency conditions for triangles.
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-CO.9. Prove theorems about lines and angles. Theorems
include: vertical angles are congruent; when a transversal
crosses parallel lines, alternate interior angles are
congruent and corresponding angles are congruent; points on
a perpendicular bisector of a line segment are exactly
those equidistant from the segment’s endpoints.
NO.
Performance Objectives
1
Given two parallel lines and a transversal,
identify the special angle pairs and justify
your answers.
Given two parallel lines and a transversal,
solve for missing angle measures.
Prove the vertical angle theorem, alternate
interior angle theorem.
Solve for lengths of segments on a
perpendicular bisector
Prove the perpendicular bisector theorem.
2
3
4
5
Resource
Reference
Instructional Objectives
measures of interior angles of a triangle sum to 180°;
base angles of isosceles triangles are congruent; the
segment joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the
medians of a triangle meet at a point.
Performance Objectives
1
Verify/prove the triangle sum theorem,
isosceles triangle theorem, triangle
midsegment theorem (use a variety of
Assessment
Correlation
Standard Reference
H.S. G-CO.10. Prove theorems about triangles. Theorems include:
NO.
G4.1.3 Strong
(No proofs included
in Idaho grade level
standard)
Resource
Reference
G4.1.3 Strong
(Proofs not
included in Idaho
Grade Standards)
Assessment
Correlation
2
3
methods).
Use angle bisectors and perpendicular
bisectors to solve for segment lengths and
angle measures.
Identify the centroid, incenter, orthocenter,
and circumcenter of a triangle,
Instructional Objectives
Standard Reference
H.S. G-CO.11. Prove theorems about parallelograms. Theorems
include: opposite sides are congruent, opposite angles are
congruent, the diagonals of a parallelogram bisect each
other, and conversely, rectangles are parallelograms with
congruent diagonals.
NO.
Performance Objectives
1
Given the coordinates of the vertices of a
quadrilateral, determine the most precise
name of the quadrilateral.
Justify your answers algebraically.
Compare and contrast properties and
attributes of the differing parallelograms.
Under given conditions identify if a given
quadrilateral is a parallelogram.
2
3
4
Resource
Reference
Instructional Objectives
copying an angle; bisecting a segment; bisecting an angle;
constructing perpendicular lines, including the
perpendicular bisector of a line segment; and constructing
a line parallel to a given line through a point not on the
line.
Performance Objectives
1
Create a list of steps needed to construct
congruent segments, angles, bisect segments
and angles, parallel and perpendicular lines.
Use a compass and straightedge to construct
congruent segments, angles, bisect segments
and angles, parallel and perpendicular lines.
Use multiple methods to do the above.
2
3
Assessment
Correlation
Standard Reference
H.S. G-CO.12. Make formal geometric constructions with a variety of
tools and methods (compass and straightedge, string, reflective devices,
paper folding, dynamic geometric software, etc.). Copying a segment;
NO.
G4.1.1 Good
G4.1.3 Strong
(Proofs not
included in Idaho
Grade Standards)
Resource
Reference
Instructional Objectives
G4.4.1 Strong
(Not included in
Idaho
Grade Standards)
Assessment
Correlation
Standard Reference
H.S. G-CO.13. Construct an equilateral triangle, a square, and a regular
hexagon inscribed in a circle.
G4.4.1 Strong (Not
included in Idaho
Grade Standards)
NO.
Assessment
Performance Objectives
Resource
Reference
1
Correlation
Construct an equilateral triangle, a square,
and a regular hexagon inscribed in a circle.
Instructional Objectives
Standard Reference
H.S. G-SRT.1a. Verify experimentally the properties of dilations
given by a center and a scale factor:
A dilation takes a line not passing through the center of the dilation to a
parallel line, and leaves a line passing through the center unchanged.
9.4.1.2;
10.4.1.2 strong
G4.3.1 strong
NO.
Performance Objectives
Assessment
Correlation
1
Identify the center of dilation and classify
it as a reduction or enlargement based on
preimage and image.
Identify the center of dilation and classify it
as a reduction or enlargement based on
preimage and image.
Compare and contrast the properties of the
preimage and image.
2
3
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.1b.Verify experimentally the properties of dilations given
by a center and a scale factor:
The dilation of a line segment is longer or shorter in the ratio given by the
scale factor.
9.4.1.2;
10.4.1.2 strong
G4.3.1 strong
NO.
Performance Objectives
Assessment
Correlation
1
Identify the ratio of sides of image to
preimage and relate it to the scale factor of
dilation.
Given a preimage and scale factor, determine
the lengths of the sides of the image?
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.2. Given two figures, use the definition of similarity in terms
of similarity transformations to decide if they are similar; explain using
similarity transformations the meaning of similarity for triangles as the
equality of all corresponding pairs of angles and the proportionality of all
corresponding pairs of sides.
9.4.1.1;
10.4.1.1 as both
apply to similarity
and congruency
(weak)
9.4.1.2;
10.4.1.2 as both
apply to similarity
(strong)
G4.1.2 Good
NO.
Performance Objectives
Assessment
Correlation
1
Determine if two polygons are similar. If so,
write a similarity statement and give the
similarity ratio. If not justify your answer.
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.3. Use the properties of similarity transformations to
establish the AA criterion for two triangles to be similar.
9.4.1.1;
10.4.1.1 as both
apply to similarity
and congruency
(weak)
9.4.1.2;
10.4.1.2 as both
apply to similarity
(strong)
G4.1.2 Strong
NO.
Performance Objectives
Assessment
Correlation
1
Given limited information about two
triangles (two proportional side lengths, one
proportional side and two congruent angles,
etc.) determine if the triangles are guaranteed
to be similar. What is the least amount of
information needed to guarantee two
triangles are similar?
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.4. Prove theorems about triangles. Theorems include: a line
parallel to one side of a triangle divides the other two proportionally, and
conversely; the Pythagorean Theorem proved using triangle similarity.
G4.1.3 Strong
(Proofs not
included in Idaho
Grade Standards
NO.
Performance Objectives
Assessment
Correlation
1
Prove the sidesplitter theorem and its
converse.
Prove the Pythagorean theorem.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.5. Use congruence and similarity criteria for triangles to
solve problems and to prove relationships in geometric figures.
9.4.1.1;
10.4.1.1 good
G4.1.2 strong
NO.
Performance Objectives
Assessment
Correlation
1
Use congruence and similarity criteria to
solve for missing information in triangles.
Use proportions to identify missing
information in similar triangles.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.6. Understand that by similarity, side ratios in right triangles
are properties of the angles in the triangle, leading to definitions of
trigonometric ratios for acute angles.
9.2.2.1 good
G4.1.4 strong
NO.
Assessment
Correlation
Performance Objectives
Resource
Reference
1
2
Using the special right triangles, identify the
ratios of sides within the same triangle and
how these relate to a similar triangle.
Given side lengths of a right triangle, write
the sine, cosine, and tangent ratio.
Instructional Objectives
Standard Reference
H.S. G-SRT.7. Explain and use the relationship between the sine and
cosine of complementary angles.
G4.1.4 weak Does
not use relationship
between the two.
(Not included in
Idaho Grade
Standards)
NO.
Performance Objectives
Assessment
Correlation
1
Compare and contrast the sine and cosine of
the two acute angles in multiple right
triangles.
Compare and contrast the sine and cosine of
two complimentary angles.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.8. Use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems.
9.4.1.2;
10.4.1.2 strong
G4.1.4 strong
NO.
Performance Objectives
Assessment
Correlation
1
Solve right triangles given one side length
and an acute angle using trigonometric ratios
and the Pythagorean theorem.
Use trigonometric ratios and the Pythagorean
Theorem to solve right triangles in applied
problems.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.9. (+) Derive the formula A = 1/2 ab sin(C) for the area of a
triangle by drawing an auxiliary line from a vertex perpendicular to the
opposite side.
Not in any current
9,10th grade, or
Geometry
standard.
NO.
Performance Objectives
Assessment
Correlation
1
Pre-calc
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-SRT.10. (+) Prove the Laws of Sines and Cosines and use them
to solve problems.
Not in any current
9,10th grade, or
Geometry
standard
NO.
Assessment
Correlation
Performance Objectives
Resource
Reference
1
Pre-cal
Instructional Objectives
Standard Reference
H.S. G-SRT.11.
(+) Understand and apply
the Law of Sines and the
Law of Cosines to find
unknown measurements
in right and non-right
triangles (e.g., surveying
problems, resultant
forces).
Not in any current
9,10th grade, or
Geometry
standard
NO.
Performance Objectives
1
Pre-cal
Resource
Reference
Assessment
Correlation
Resource
Reference
Standard Reference
None
Assessment
Correlation
Instructional Objectives
H.S. G-C.1. Prove that all circles are similar.
NO.
Performance Objectives
1
Using diagrams or a geometric software
package, show that all circles are similar and
justify your results.
Instructional Objectives
Standard Reference
H.S. G-C.2. Identify and describe relationships among inscribed angles,
radii, and chords. Include the relationship between central, inscribed, and
circumscribed angles; inscribed angles on a diameter are right angles; the
radius of a circle is perpendicular to the tangent where the radius
intersects the circle.
G2.2.2 Strong
(Not included in
Idaho
Grade Standard)
NO.
Performance Objectives
Assessment
Correlation
1
Solve for the measures of inscribed and
central angles and their corresponding
intercepted arcs.
Solve for the lengths of segments and
measures of angles formed by radii, chords,
secants and tangents of circles.
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-C.3. Construct the inscribed and circumscribed circles of a
triangle, and prove properties of angles for a quadrilateral inscribed in a
circle.
G4.4.1 strong
(No grade level
standard)
NO.
Performance Objectives
Assessment
Correlation
1
Construct an inscribed and circumscribed
circle of a triangle.
Prove opposite angles are supplementary in
an inscribed quadrilateral.
2
Instructional Objectives
Resource
Reference
Standard Reference
H.S. G-C.4.(+) Construct a tangent line from a point outside a given circle G4.4.1 strong
to the circle.
No grade content
standard
NO.
Performance Objectives
1
Pre-cal
Resource
Reference
Instructional Objectives
H.S. G-C.5. Derive using similarity the fact that the length of the arc
intercepted by an angle is proportional to the radius, and define the radian
measure of the angle as the constant of proportionality; derive the formula
for the area of a sector.
NO.
Performance Objectives
1
Given circles of differing radii, and specified
central angle, determine the relationship
between arc length and radius (identify
radian measures).
Derive the formula for the area of a sector.
2
Resource
Reference
Instructional Objectives
H.S. G-GPE.1. Derive the equation of a circle of given center and radius
using the Pythagorean Theorem; complete the square to find the center
and radius of a circle given by an equation.
NO.
Performance Objectives
1
Derive the equation of a circle of given
center and radius using the Pythagorean
Theorem
Complete the square to find the center and
radius of a circle given by an equation.
2
Resource
Reference
Instructional Objectives
H.S. G-GPE.2. Derive the equation of a parabola given a focus and
directrix.
NO.
Performance Objectives
1
Given the equation of a parabola, identify the
coordinates of the vertex, directrix, and focus
and graph the parabola.
Write the equation of a parabola given any
two of the following: vertex, focus, or
directrix.
2
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
None
Assessment
Correlation
Standard Reference
None
Assessment
Correlation
Standard Reference
None
Assessment
Correlation
Standard Reference
H.S. G-GPE.3. (+) Derive the equations of ellipses and hyperbolas given Not in any
the foci, using the fact that the sum or difference of distances from the foci Geometry
is constant.
or Grade standard
Advanced Course
NO.
Performance Objectives
Resource
Assessment
Reference
1
Pre-cal
Instructional Objectives
Standard Reference
H.S. G-GPE.4. Use coordinates to prove simple geometric theorems
algebraically. For example, prove or disprove that a figure
defined by four given points in the coordinate plane is a
rectangle; prove or disprove that the point (1, √3) lies
on the circle centered at the origin and containing the
point (0, 2).
NO.
Performance Objectives
1
Given three points in a coordinate plane, find
a fourth point to make the figure a
parallelogram and prove your results.
Prove or disprove that a given point lies on a
circle given the center and a point on the
circle.
2
Correlation
Resource
Reference
Instructional Objectives
G4.2.1 weak
G3.1.1 weak
New standard for
circles
Assessment
Correlation
Standard Reference
H.S. G-GPE.5. Prove the slope criteria for parallel and perpendicular
lines and use them to solve geometric problems (e.g., find the equation of
a line parallel or perpendicular to a given line that passes through a given
point).
9.4.4.3 Good
10.4.4.3 Good
G3.1.1 Strong
G4.1.3 Strong
NO.
Performance Objectives
Assessment
Correlation
1
Construct parallel or perpendicular lines and
calculate the slopes to compare relationships.
Given the equations of two lines, determine
if they are parallel, perpendicular or neither.
Find the equation of a line parallel or
perpendicular to a given line that passes
through a given point.
2
3
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-GPE.6. Find the point on a directed line segment between two
given points that partitions the segment in a given ratio.
9.2.2.1 weak
10.2.2.1 weak
Does not correlate
to existing ID
content standards
NO.
Performance Objectives
Assessment
Correlation
1
Given the endpoints of a segment, find a
point on the segment that divides it into a
given ratio.
Given one endpoint of a segment and a point
on the segment with a given ratio, find the
other endpoint.
Find the midpoint of a segment.
2
3
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-GPE.7. Use coordinates to compute perimeters of polygons and
areas of triangles and rectangles, e.g., using the distance formula.
G4.2.1 Strong
Modeling is new
No Grade Level
Standard
NO.
Performance Objectives
Assessment
Correlation
1
Use coordinates to compute perimeters of
polygons and areas of triangles and
rectangles.
Resource
Reference
Instructional Objectives
H.S. G-GMD.1. Give an informal argument for the formulas for the
circumference of a circle, area of a circle, volume of a cylinder, pyramid,
and cone. Use dissection arguments, Cavalieri’s principle, and informal
limit arguments.
NO.
Performance Objectives
1
Establish the relationship using
manipulatives that circumference divided by
diameter is equal to pi. Solve for C.
Area of a circle argument, more wedges give
flatter top and bottom.
2
3
Resource
Reference
Standard Reference
None
Assessment
Correlation
Using a prism and a pyramid with congruent
bases and height, determine the relationship
between the volumes by filling the pyramid
and pouring it into the prism.
Instructional Objectives
Standard Reference
H.S. G-GMD.2. (+) Give an informal argument using Cavalieri’s
principle for the formulas for the volume of a sphere and other solid
figures.
10.2.1.1 strong
Advanced Course
NO.
Performance Objectives
Assessment
Correlation
1
Pre-cal
Resource
Reference
Instructional Objectives
Standard Reference
H.S. G-GMD.3. Use volume formulas for cylinders, pyramids, cones, and
Weak comparison
spheres to solve problems.
NO.
Performance Objectives
1
Identify base, lateral sides, slant height,
altitude, and lateral edge of three
dimensional figures.
Calculate the volume of cylinders, pyramids,
cones, and spheres.
2
with
9.2.1.1 due to no
surface area of 3-D
figures.
10.2.1.1 strong
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. G-GMD.4. Identify the shapes of two-dimensional cross-sections of
three-dimensional objects, and identify three-dimensional objects
generated by rotations of two-dimensional objects.
10.4.1.2 weak
NO.
Performance Objectives
Assessment
Correlation
1
Identify the shapes of two-dimensional
cross-sections of three-dimensional objects.
Visualize the relationship between twodimensional and three-dimensional objects.
2
Resource
Reference
Instructional Objectives
H.S. G-MG.1. Use geometric shapes, their measures, and their properties
to describe objects (e.g., modeling a tree trunk or a human torso as a
cylinder).
NO.
Performance Objectives
1
Use the properties and measures of
geometric shapes to approximate real world
objects.
Resource
Reference
Instructional Objectives
H.S. G-MG.2. Apply concepts of density based on area and volume in
modeling situations (e.g., persons per square mile, BTUs per cubic foot).
NO.
Performance Objectives
1
Given the dimensions of a water bed and the
weight of the water it took to fill it, what is
the weight of a cubic foot of water?
Resource
Reference
Instructional Objectives
H.S. G-MG.3. Apply geometric methods to solve design problems (e.g.,
designing an object or structure to satisfy physical constraints or minimize
cost; working with typographic grid systems based on ratios)
NO.
Performance Objectives
1
Given one geometric solid, design a different
Resource
Reference
Standard Reference
New Standards
Assessment
Correlation
Standard Reference
New Standard
Assessment
Correlation
Standard Reference
New Standard
Assessment
Correlation
geometric solid that will hold the same
amount of substance (i.e. cone to prism).
Instructional Objectives
Standard Reference
H.S. S-CP.1. Describe events as subsets of a sample space (the set of
outcomes) using characteristics (or categories) of the outcomes, or as
unions, intersections, or complements of other events (“or,” “and,” “not”).
NO.
Performance Objectives
1
2
Identify the sample space of given events.
Identify any intersections in the given
subsets from the sample space.
Given a sample space and two subsets
identify the compliment elements
3
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. S-CP.2. Understand that two events A and B are independent if the
probability of A and B occurring together is the product of their
probabilities, and use this characterization to determine if they are
independent.
New standard for
Geometry
NO.
Performance Objectives
Assessment
Correlation
1
Understand if two events are independent by
looking at all possible outcomes.
Given two independent events, A and B, then
P(A and B) = P(A)P(B).
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. S-CP.3. Understand the conditional probability of A given B as P(A
and B)/P(B), and interpret independence of A and B as saying that the
conditional probability of A given B is the same as the probability of A,
and the conditional probability of B given A is the same as the probability
of B.
New standard for
Geometry
NO.
Performance Objectives
Assessment
Correlation
1
Identify the probability of two events
happening given the first either occurs or
does not occur.
Resource
Reference
Instructional Objectives
Standard Reference
H.S. S-CP.4. Construct and interpret two-way frequency tables of data
when two categories are associated with each object being classified. Use
the two-way table as a sample space to decide if events are independent
and to approximate conditional probabilities. For example, collect
New standard for
Geometry
data from a random sample of students in your school on
their favorite subject among math, science, and English.
Estimate the probability that a randomly selected student
from your school will favor science given that the student
is in tenth grade. Do the same for other subjects and
compare the results.
NO.
Performance Objectives
1
Construct a two way table for categorical
data.
Find probabilities based off the data in the
two way table of specified events occurring.
2
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. S-CP.5. Recognize and explain the concepts of conditional
probability and independence in everyday language and everyday
situations. For example, compare the chance of having lung cancer if you
are a smoker with the chance of being a smoker if you have lung cancer.
New standard for
Geometry
NO.
Performance Objectives
Assessment
Correlation
1
What is the probability of drawing a heart
from a standard deck of cards on a second
draw, given that a heart was drawn on the
first draw and not replaced? Are these events
independent or dependent?
At Johnson Middle School, the probability
that a student takes computer science and
French is 0.062. The probability that a
student takes computer science is 0.43. What
is the probability that a student takes French
given that the student is taking computer
science?
2
Resource
Reference
Instructional Objectives
Standard Reference
H.S. S-CP.6. Find the conditional probability of A given B as the fraction New standard for
of B’s outcomes that also belong to A, and interpret the answer in terms of Geometry
the model.
NO.
Performance Objectives
1
Determine if A and B are dependent or
independent.
Identify the common elements of A and B.
Find the conditional probability of A given
B as the fraction of B’s outcomes that also
belong to A.
2
3
Resource
Reference
Instructional Objectives
Assessment
Correlation
Standard Reference
H.S. S-CP.7. Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A
and B), and interpret the answer in terms of the model.
New standard for
Geometry
NO.
Performance Objectives
Assessment
Correlation
1
Determine if A and B are dependent or
independent.
Identify the P(A or B) as P(A) and P(B).
2
Resource
Reference
3
4
If A and B are dependent find P(A and B).
P(A or B) = P(A) + P(B) – P(A and B) if
dependent otherwise P(A or B) = P(A) +
P(B) if independent.