8th Grade Pre-Algebra Holt ISBN #: 0030385423
Mathematics Standard 1
NUMBER AND OPERATIONS: Students will understand numerical concepts and mathematical operations.
Essential Question: “How can numbers describe an atom and a galaxy?”
Benchmark
A. Understand numbers,
ways of representing
numbers, relationships
among numbers, and
number systems.
Eighth Grade
Performance Standards
1. Sort numbers by their
proportions (e.g. prime,
composite, square, square
root).
2. Demonstrate the
magnitude of rational
numbers (e.g., trillions to
millions).
End Learning
Mastery
Find square roots.
Determine if a number is
rational or irrational.
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Vocabulary:
Principal square root
Perfect square
Irrational number
Real number
Density property
Chapter-Lesson
4-5 Squares & Square
Roots
4-7 Real Numbers
Mathematics Standard 1
NUMBER AND OPERATIONS: Students will understand numerical concepts and mathematical operations.
Essential Question: “How can numbers describe an atom and a galaxy?”
Benchmarks
Eighth Grade
Performance Standards
B. Understand the meaning 1. Use real number
of operations and how they properties (e.g.,
relate to one another.
commutative, associative,
distributive) to perform
various computational
procedures.
End Learning
Mastery
Add, subtract, multiply and
divide integers.
Find square roots.
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
1
various computational
procedures.
2. Perform arithmetic
operations and their
inverses (e.g.,
addition/subtraction,
multiplication/division,
square roots of perfect
squares, cube roots of
perfect cubes) on real
numbers.
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Use a graphing calculator to
evaluate expressions that
have negative exponents.
Vocabulary:
Principal square root
Perfect square
Chapter-Lesson:
1-4 Adding Integers
1-5 Subtracting Integers
1-6 Multiplying & Dividing
Integers
4-5 Squares & Square
Roots
Lab 4-6 Evaluate powers
and square roots
3. Find roots of real
numbers using calculators.
Mathematics Standard 1
NUMBER AND OPERATIONS: Students will understand numerical concepts and mathematical operations.
Essential Question: “How can numbers describe an atom and a galaxy?”
Benchmarks
Eighth Grade
Performance Standards
C. Compute fluently and
1. Formulate algebraic
make reasonable estimates. expressions that include
real numbers to describe
and solve real-world
problems.
2. Use a variety of
computational methods to
estimate quantities
involving real numbers.
3. Differentiate between
rational and irrational
numbers.
End Learning
Mastery
Evaluate algebraic
expressions.
Write algebraic
expressions.
Estimate square roots to a
given number of decimal
places and solve problems
using square roots.
Determine if a number is
rational or irrational.
Write rational numbers in
equivalent forms.
Multiply factions and
decimals.
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
1-1 Variables & Expression
1-2 Algebraic Expressions
2
numbers.
decimals.
Find the circumference and
area of circles.
4. Use real number
Divide fractions and
properties to perform
decimals.
various computational
procedures and explain how Find equivalent ratios to
create proportions.
they were used.
Find the volume of prism
and cylinders.
5. Perform and explain
computations with rational Find the surface area of
prisms and cylinders.
numbers, pi, and firstdegree algebraic
expressions in one variable
in a variety of situations.
Vocabulary:
Variable
6. Select and use
Coefficient
appropriate forms of
Algebraic expression
rational numbers to solve
Constant
real-world problems
Evaluate
including those involving
proportional relationships. Substitute
Irrational number
Real number
7. Approximate, mentally
Density Property
and with calculators, the
value of irrational numbers Rational number
as they arise from problem Relatively prime
Circle
situations.
Radius
Diameter
8. Express numbers in
Circumference
scientific notation
Reciprocal
(including negative
Ratio
exponents) in appropriate
problem situations using a Equivalent ratio
Proportion
calculator.
Cylinder
9. Estimate answers and use Prism
Surface area
formulas to solve
application problems
involving surface area and
volume.
4-6 Estimating Square
Roots
4-7 The Real Numbers
2-1 Rational Numbers
2-4 Multiplying Rational
Numbers
8-3 Circles
2-5 Dividing Rational
Numbers
5-1 Ratios & Proportions
Lab 8-3 Approximate Pi by
Measuring
Lab 4-4 Multiply & Divide
Numbers in Scientific
Notation
Lab 8-5 Find Volume of
Prisms and Cylinders
8-5 Volume of Prisms and
Cylinders
8-7 Surface Area of Prisms
and Cylinders
3
formulas to solve
application problems
involving surface area and
volume.
Lateral face
Lateral surface
Mathematics Standard 2
ALGEBRA: Students will understand algebraic concepts and applications.
Essential Question: “How many answers can you find?”
Benchmarks
A. Understand
patterns, relations,
and functions
Eighth Grade
Performance Standards
1. Move between
numerical, tabular, and
graphical representations
of linear relationships.
Graph linear functions
noting that the vertical
change per unit of
horizontal change (the
slope of the graph) is
always the same.
End Learning
Mastery
Write solutions of
equations in two variables
as ordered pairs.
Graph points and lines on
the coordinate plane.
Generate different
representations of the same
data.
Represent functions with
tables, graphs, or
equations.
Identify and graph linear
equations.
Find the slope of a line and
use slope to understand
and draw graphs.
Plot the value of quantities
whose ratios are always the
same, fit a line to the plot,
and understand that the
slope of the line equals the
quantities.
Vocabulary:
Ordered pair
Coordinate plane
X-axis
Y-axis
Quadrant
2. Use variables to
generalize patterns and
information presented in
tables, charts, and graphs:
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
3-1 Ordered Pairs
3-2 Graphing on a
Coordinate Plane
3-5 Equations, Tables, and
Graphs
3-4 Functions
12-1 Graphing Linear
Equations
12-2 Slope of a Line
6-l
4
quantities.
X-coordinate
Y-coordinate
Origin
Graph of an equation
Function
Input
Output
Domain
Range
Vertical line test
Linear equations
Slope
Mathematics Standard 2
ALGEBRA: Students will understand algebraic concepts and applications.
Essential Question: “How many answers can you find?”
5
Performance Standards
B. Represent and analyze
mathematical situations and
structures using algebraic
symbols.
Mastery
1. Demonstrate the
Evaluate algebraic
difference between an
expressions.
equation and an expression. Write algebraic
expressions.
Use algebraic tiles to model
2. Solve two-step linear
solving equations.
equations and inequalities
in one variable with rational Solve equations using
addition and subtraction.
solutions.
Solve two-step equations.
3. Evaluate formulas using Find perimeter and area of
rectangles and
substitution.
parallelograms.
Find the perimeter and area
4. Demonstrate
of triangles and trapezoids.
understanding of the
Find equivalent ratios to
relationships between
create proportions.
ratios, proportions, and
Solve proportions.
percents and solve for a
Compare and order
missing term in a
decimals, fractions, and
proportion.
percents.
Identify and graph linear
5. Graph solution sets of
equations.
linear equations in two
variables on the coordinate Estimate with percents.
Find percents.
plane.
Recognize direct variation
by graphing tables of data
6. Formulate and solve
problems involving simple and checking for constant
ratios.
linear relationships, find
percents of a given number, Solve a system of equations
by graphing.
variable situations, and
unknown quantities.
Vocabulary:
7. Use symbols, variables, Variable
Coefficient
expressions, inequalities,
Algebraic expression
equations, and simple
Constant
systems of equations to
Evaluate
represent problem
Equation
situations that involve
Inverse operation
variable or unknown
Perimeter
quantities.
Area
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
1-1 Variables &
Expressions
1-2 Algebraic Expressions
Lab 1-7 Model Solving
Equations
1-7 Solving Equations by
Adding or Subtracting
Lab 2-8 Model Two-Step
Equations
2-8 Solving Two-Step
Equations
8-1 Perimeter & Area of
Rectangles &
Parallelograms
8-2 Perimeter & Area of
Triangles & Trapezoids
5-1 Ratios and Proportions
5-4 Solving Proportions
6-1 Relating Decimals,
Fractions, and Percents
12-1 Graphing Linear
Equations
6-2 Estimate with Percents
6-3 Finding Percents
12-5 Direct Variation
Ch. 12 Extension, pp.666667
6
Mathematics Standard 2
ALGEBRA: Students will understand algebraic concepts and applications.
Essential Question: “How many answers can you find?”
Benchmarks
D. Analyze changes in
various contexts.
Eighth Grade
Performance Standards
1. Use graphs, tables, and
algebraic representations to
make predictions and solve
problems that involve
change.
End Learning
Mastery
Identify and graph linear
equations.
Find the slope of a line and
use slope to understand and
draw graphs.
Evaluate expressions with
negative exponents and
2. Estimate, find, and
evaluate the zero exponent.
justify solutions to
Identify and graph
problems that involve
change using tables, graphs, exponential functions.
and algebraic expressions. Identify linear functions.
3. Use appropriate problemsolving strategies (e.g.,
drawing a picture, looking
for a pattern, systematic
guessing and checking,
acting it out, making a table
or graph, working a simpler
problem writing an
algebraic expression or
working backward) to solve
problems that involve
change.
4. Solve multi-step
problems that involve
changes in rate, average
speed, distance, and time.
Vocabulary:
Linear equation
Exponential function
Exponential growth
Exponential decay
Linear function
Function notation
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
12-1 Graphing Linear
Equations
12-2 Slope of a Line
Ch. 3 Multi-Step Test Prep
Focus of Problem Solving,
p. 133
4-2 Look for a Pattern in
Integer Exponents
Focus on Problem Solving,
p. 483
13-5 Exponential Functions
13-4 Linear Functions
7
changes in rate, average
speed, distance, and time.
5. Analyze problems that
involve change by
identifying relationships,
distinguishing relevant
from irrelevant information,
identifying missing
information, sequencing,
and observing patterns.
6. Generalize a pattern of
change using algebra and
show the relationship
among the equation, graph,
and table of values.
7. Recognize the same
general pattern of change
presented in different
representations.
Mathematics Standard 3
GEOMETRY: Students will understand geometric concepts and applications.
Essential Question: “What new character can you create for “The Transformer Movie?”
Benchmarks
Seventh Grade
End Learning
Assessment(s)
Performance Standards
Mastery
Resources
8
A. Analyze characteristics
and properties of two- and
three-dimensional
geometric shapes and
develop mathematical
arguments about geometric
relationships.
1. Recognize, classify, and
discuss properties of all
geometric figures including
point, line, and plane.
Classify and name figures.
Find unknown angles in
triangles.
Classify and find angles in
polygons.
Use the Pythagorean Theorem
2. Identify arc, chord, and
semicircle and explain their to solve problems.
attributes.
Vocabulary:
Point
3. Use the Pythagorean
theorem and its converse to Line
Plane
find the missing side of a
Segment
right triangle and the
Ray
lengths of the other line
Angle
segments.
Right angle
Acute angle
Obtuse angle
Complementary angles
Supplementary angles
Congruent
Vertical angles
Triangle Sum Theorem
Acute Triangles
Obtuse Triangle
Right Triangle
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Polygon
Regular polygon
Trapezoid
Parallelogram
Rectangle
Rhombus
Square
Pythagorean Theorem
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
7-1 Points, Lines, Planes,
and Angles
7-3 Angles in Triangles
7-4 Classifying Polygons
4-8 The Pythagorean
Theorem
9
Leg
Hypotenuse
Mathematics Standard 3
GEOMETRY: Students will understand geometric concepts and applications.
Essential Question: “What new character can you create for “The Transformer Movie?”
Benchmarks
B. Specify locations and
describe spatial
relationships using
coordinate geometry and
other representational
systems.
Eighth Grade
Performance Standards
1. Represent, formulate,
and solve distance and
geometry problems using
the language and symbols
of algebra and the
coordinate plane and space
(e.g., ordered triplets).
End Learning
Mastery
Identify polygons in the
coordinate plane.
Make scale models of solid
figures.
Assessment(s)
Vocabulary
Slope
Rise
Run
Capacity
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
7-5 Coordinate Geometry
8-10 Scaling ThreeDimensional Figures
Mathematics Standard 3
GEOMETRY: Students will understand geometric concepts and applications.
Essential Question: “What new character can you create for “The Transformer Movie?”
10
Benchmarks
C. Apply transformations
and use symmetry to
analyze mathematical
situations.
Eighth Grade
Performance Standards
1. Describe the symmetry
of three-dimensional
figures.
2. Describe and perform
single and multiple
transformations that include
rotation, reflection,
translation, and dilation
(i.e., shrink or magnify) to
two-dimensional figures.
End Learning
Mastery
Transform plane figures
using translations, rotations,
and reflections.
Assessment(s)
Vocabulary
Transformation
Translation
Rotation
Center f rotation
Reflection
Image
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter – Lesson
Ch. 8 Extension pp. 446447
Game Time p. 448
7-7 Transformations
Lab 7-7 Combine
Transformations
Mathematics Standard 3
GEOMETRY: Students will understand geometric concepts and applications.
Essential Question: “What new character can you create for “The Transformer Movie?”
11
Benchmarks
Eighth Grade
Performance Standards
D. Use visualization, spatial 1. Understand angle
reasoning, and geometric
relationships formed by
modeling to solve
parallel lines cut by a
problems.
transversal.
End Learning
Mastery
Identify parallel and
perpendicular lines and the
angles formed by a
transversal.
Use properties of congruent
2. Recognize and apply
figures to solve problems.
properties of corresponding Use a geometry program to
parts of similar and
study the exterior angles of
a polygon.
congruent triangles and
quadrilaterals.
Use pattern blocks and a
coordinate plane to explore
compound transformations.
3. Represent and solve
Create tessellations.
problems relating to size,
Find perimeter and area of
shape, area, and volume
rectangles and
using geometric models.
parallelograms.
Find the perimeter and area
4. Develop and use
of triangles and trapezoids.
formulas for area,
Use models to explore the
perimeter, circumference,
volume of rectangular
and volume.
prisms and cylinders.
Find the volume of prisms
5. Construct twoand cylinders.
dimensional patterns for
Use paper models to
three-dimensional models
explore nets of three(e.g., cylinders, prisms,
dimensional figures.
cones).
Vocabulary
Parallel lines
Perpendicular lines
Transversal
Correspondence
Tessellation
Regular tessellation
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
7-2 Parallel &
Perpendicular Lines
7-6 Congruence
Lab 7-4 Exterior Angles of
a Polygon
Lab 7-7 Combine
Transformations
Lab 8-3 Approximate Pi by
Measuring
7-9 Tessellations
8-1 Perimeter & Area of
Rectangles &
Parallelograms
8-2 Perimeter & Area of
Triangles and Trapezoids
Lab 8-5 Find Volume of
Prisms and Cylinders
8-5 Volume of Prisms &
Cylinders
Lab 8-4 Construct Nets
12
Perimeter
Area
Cylinder
Prism
Mathematics Standard 4
MEASUREMENT: Students will understand measurement systems and applications.
Essential Question: “How are prisms and cylinders related?”
Benchmarks
Eighth Grade
End Learning
Performance Standards
Mastery
A. Understand measurable 1. Understand the concept Find the volume of prisms
attributes of objects and the of volume and use the
and cylinders.
units, systems, and
appropriate units in
processes of measurement. common measuring
systems (e.g., cubic
Vocabulary
centimeter, cubic inch,
Cylinder
cubic yard) to compute the Prism
volume of rectangular
Perimeter
solids.
Area
2. Use changes in
measurement units (e.g.,
square inches, cubic feet) to
perform conversions from
one, two-, and threedimensional shapes.
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
8-5 Volume of Prisms and
Cylinders
8-1 Perimeter & Area of
Rectangles &
Parallelograms
Mathematics Standard 4
MEASUREMENT: Students will understand measurement systems and applications.
13
Essential Question: ”How are prisms and cylinders related?”
Benchmarks
B. Apply appropriate
techniques, tools, and
formulas to determine
measurements.
Eighth Grade
Performance Standards
1. Use ratios and
proportions to measure
hard-to-measure objects.
2. Use estimation to solve
problems.
3. Use proportional
relationships in similar
shapes to find missing
measurements.
4. Apply strategies to
determine the surface area
and volume of prisms,
pyramids, and cylinders.
5. Perform conversions
with multiple terms
between metric and U.S.
standard measurement
systems.
End Learning
Mastery
Find equivalent ratios to
create proportions.
Solve proportions.
Estimate with percents.
Determine whether figures
are similar, use scale
factors, and find missing
dimensions in similar
figures.
Identify and create dilations
of plane figures.
Find volume of prisms and
cylinders.
Find volume of pyramids
and cones.
Find the surface area of
prisms and cylinders.
Find the surface area of
pyramids and cones.
Use one or more conversion
factors to solve rate
problems.
6. Estimate volume in cubic
Vocabulary
units.
Ratio
Equivalent ratio
7. Solve simple problems
involving rates and derived Proportion
Cross products
measurements for such
Estimate
properties as velocity and
Compatible numbers
density.
Benchmark
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
5-1 Ratios and Proportions
5-4 Solving Proportions
6-2 Estimate with Percents
5-5 Similar Figures
Lab 5-6 Explore Dilations
5-6 Dilations
Lab 8-5 Find Volume of
Prisms and Cylinders
8-5 Volume of Prisms and
Cylinders
Lab 8-6 Find Volume of
Pyramids and Cones
8-6 Volume of Pyramids
and Cones
Lab 8-7 Find Surface Areas
of Prisms and Cylinders
8-7 Surface Area of Prisms
and Cylinders
Lab 8-8 Find Surface Area
of Pyramids
8-8 Surface Area of
Pyramids and Cones
14
Similar
Congruent angles
Scale factor
Dilation
Center of dilation
Cylinder
Prism
Pyramid
Cone
Surface area
Lateral face
Lateral surface
Slant height
Regular pyramid
Right cone
Conversion factor
Pyramids and Cones
5-3 Dimensional Analysis
Mathematics Standard 5
DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities.
Essential Question: “How can you predict the future?”
Benchmarks
Eighth Grade
End Learning
Performance Standards
Mastery
A. Formulate questions that 1. Represent two numerical Create and interpret scatter
can be addressed with data variables on a plot, describe plots.
and collect, organize, and
how the data points are
Organize data in tables and
display relevant data to
distributed, and identify
stem-and-leaf plots.
answer them.
relationships that exist
Find measures of variability.
between the two variables. Display data in bar graphs,
histograms, and line graphs.
2. Generate, organize, and Find appropriate measures
interpret real numbers in a of central tendency.
Use a simulation to estimate
variety of situations.
probability.
Identify sampling methods
3. Organize, analyze, and
and recognize biased
display appropriate
quantitative and qualitative samples.
data to address specific
questions including:
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
9-7 Scatter Plots
15
display appropriate
quantitative and qualitative
data to address specific
questions including:
and recognize biased
samples.
Vocabulary
Scatter plot
Correlation
Line of best fit
•
Line plot
•
Stem-and-leaf plot
•
Venn diagram
Variability
•
Quartile
Box-and-whisker plot
•
Double-bar graph
Frequency table
4. Select the appropriate
measure of central tendency Histogram
to describe a set of data for Double-line graph
Mean
a particular problem
Median
situation.
Mode
Range
5. Simulate an event
Outlier
selecting and using
Simulation
different models.
Random numbers
Population
6. Develop an appropriate
Sample
strategy using a variety of
Random sample
data from surveys,
samplings, estimations, and Systematic sample
Stratified sample
inferences to address a
Convenience Sample
specific problem.
Voluntary-response Sample
Biased sample
•
frequency
distributions
plots
histograms
bar, line, and pie
graphs
diagram and
pictorial displays
charts and tables
Lab 9-7 Create a Scatter
Plot
9-2 Organizing Data
9-4 Variability
Lab 9-5 Make a Circle
Graph
9-5 Displaying Data
9-3 Measures of Central
Tendency
10-3 Use Simulation
Lab 10-3 Use Different
Models for Simulations
9-1 Samples & Surveys
Lab 9-1 Explore Samples
Mathematics Standard 5
16
DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities.
Essential Question: “How can you predict the future?”
Benchmarks
B. Select and use
appropriate statistical
methods to analyze data.
Eighth Grade
Performance Standards
1. Use changes in scales,
intervals, or categories to
help support a particular
interpretation of data.
End Learning
Mastery
Recognize misleading
graphs and statistics.
Select the best
representation for a set of
data.
2. Generate, organize, and Organize data in tables and
interpret real number and
stem-and-leaf plots.
Find appropriate measures
other data in a variety of
situations.
of central tendency.
Find measures of
variability.
3. Analyze data to make
Display data in bar graphs,
decisions and to develop
convincing arguments from histograms, and line graphs.
data displayed in a variety Create and interpret scatter
plots.
of formats that include:
Identify sampling methods
and recognize biased
• plots
samples.
• distributions
• graphs
• scatter plots
Vocabulary
• diagrams
Sample
• pictorial displays
Random sample
• charts and tables
Systematic sample
• Venn diagrams
Stratified sample
Convenience sample
4. Interpret and analyze
Voluntary-response sample
data from graphical
Biased sample Line plot
representations and draw
Stem-and-leaf plot
simple conclusions (e.g.,
Back-to-back stem-and-leaf
line of best fit).
plot
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
Lab 9-5 Create Histograms
9-6 Misleading Graphs and
Statistics
9-8 Choosing the Best
Representation of Data
Lab 9-8 Use a Spreadsheet
to Create Graphs.
9-2 Organizing Data
9-3 Measures of Central
Tendency
9-4 Variability
9-5 Displaying Data
9-7 Scatter Plots
Lab 9-7 Create a Scatter
Plot
9-1 Samples & Surveys
Lab 9-4 Create Box-andWhisker Plots
17
line of best fit).
plot
Venn diagram
5. Evaluate and defend the Mean
Median
reasonableness of
Mode
conclusions drawn from
Range
data analysis.
Outlier
Variability
6. Use appropriate central
Quartile
tendency and spread as a
Box-and-whisker plot
means for effective
Double-bar graph
decision-making in
analyzing data and outliers. Frequency table
Histogram
Double-line graph
7. Identify simple graphic
Scatter plot
misrepresentations and
Correlation
distortions of sets of data
(e.g., unequal interval sizes, Line of best fit
Population
omission of parts of axis
range, scaling).
8. Use appropriate
technology to display data
as lists, tables, matrices,
graphs, and plots and to
analyze the relationships of
variables in the data
displayed.
Mathematics Standard 5
18
DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities.
Essential Question: “How can you predict the future?”
Benchmarks
C. Develop and evaluate
inferences and predictions
that are based on data.
Eighth Grade
Performance Standards
1. Describe how changes in
scale, intervals, or categories
influence arguments for a
particular interpretation of the
data.
End Learning
Mastery
Recognize misleading
graphs and statistics.
Select the best
representation for a set of
data.
Use a simulation to
2. Describe how reader bias,
estimate probability.
Estimate probability using
measurement errors, and
display distortion an affect the experimental methods.
Estimate probability using
interpretation of data,
predictions, and inferences
theoretical methods.
based on data.
3. Conduct simple
experiments and/or
simulations, record results in
charts, tables, or graphs, and
use the results to draw
conclusions and make
predictions.
4. Compare expected results
with experimental results and
information used in
predictions and inferences.
Vocabulary
Simulation
Random numbers
Experimental
Probability
Theoretical probability
Equally likely
Fair
Mutually exclusive
Disjoint events
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
9-6 Misleading Graphs &
Statistics
9-8 Choosing the Best
Representation of Data
10-3 Use a Simulation
Lab 10-3 Use Different
Models for Simulations
10-2 Experimental
Probability
10-4 Theoretical
Probability
Mathematics Standard 5
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DATA ANALYSIS AND PROBABILITY: Students will understand how to formulate questions, analyze data, and determine probabilities.
Essential Question: “How can you predict the future?”
Benchmarks
D. Understand and apply
basic concepts of
probability.
Eighth Grade
End Learning
Performance Standards
Mastery
1. Calculate the odds of a
Convert between
desired outcome in a simple probabilities and odds.
experiment.
Use probability to make
decisions and predictions.
Find the probabilities of
2. Design and use an
appropriate simulation to
independent and dependent
estimate the probability of a events.
real-world event (e.g., disk
toss, cube toss).
3. Explain the relationship
between probability and
odds and calculate the odds
Vocabulary
of a desired outcome in a
Odds in favor
simple experiment.
Odds against
Compound event
4. Use theoretical or
experimental probability to Independent events
Dependent events
make predictions about
real-world events.
Assessment(s)
Resources
Holt: Course 3
Teacher Edition
Student Edition
Warm Up
Problem of the Day
Workbook
Know-It Notebook
On-line Tutorial
PowerPoint Presentations
Chapter-Lesson
10-7 Odds
Lab 10-3 Use Different
Models for Simulations
10-6 Making Decisions and
Predictions
10-5 Independent and
Dependent Events
5. Use probability to
generate convincing
arguments, draw
conclusions, and make
decisions in a variety of
situations.
6. Understand that the
probability of two unrelated
events occurring is the sum
of the two individual
possibilities and that the
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probability of two unrelated
events occurring is the sum
of the two individual
possibilities and that the
probability of one event
following another, in
independent trials, is the
product of the two
probabilities.
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