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8th Grade Math
 This symbol identifies a Tennessee
Diploma Project 2008 Standards Awareness Resource
Pacing Guide
Orchard Correlations
Standard 1 – Mathematical Processes
Grade Level Expectations:
GLE 0806.1.1 Use mathematical language, symbols, and definitions
while developing mathematical reasoning.
GLE 0806.1.2 Apply and adapt a variety of appropriate strategies to
problem solving, including estimation, and reasonableness of the
solution.
GLE 0806.1.3 Develop independent reasoning to communicate
mathematical ideas and derive algorithms and/or formulas.
GLE 0806.1.4 Move flexibly between concrete and abstract
representations of mathematical ideas in order to solve problems, model
mathematical ideas, and communicate solution strategies.
GLE 0806.1.5 Use mathematical ideas and processes in different
settings to formulate patterns, analyze graphs, set up and solve
problems and interpret solutions.
GLE 0806.1.6 Read and interpret the language of mathematics and use
written/oral communication to express mathematical ideas precisely.
GLE 0806.1.7 Recognize the historical development of mathematics,
mathematics in context, and the connections between mathematics and the
real world.
GLE 0806.1.8 Use technologies/manipulatives appropriately to develop
understanding of mathematical algorithms, to facilitate problem solving,
and to create accurate and reliable models of mathematical concepts.
Checks for Understanding
(Formative/Summative Assessment):
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0806.1.1 Relate nonlinear functions to geometric
contexts of length, area, and volume.
Self-Check Quizzes
Self-Check quizzes 2
Definition of nonlinear function
Area of Circle |
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0806.1.2 Draw qualitative graphs (trend graphs) of
functions and describe their general shape/trend.
Graphing linear and nonlinear equations
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0806.1.3 Research the contributions of
Pythagoras to mathematics.
Using the Pythagorean Theorm
Throw Out the First Ball
Ladders |
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0806.1.4 Relate data concepts to relevant concepts in
the earth and space, life, and physical sciences.
Using Real World Proportions
Real-world Scientific Notation Activity |
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0806.1.5 Use age-appropriate books, stories, and videos
to convey ideas of mathematics.
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0806.1.6 Use models (such as dynamic
geometry software, patty paper and geo boards) to explore relationships among angles
(complementary, supplementary, interior, exterior, vertical, and
corresponding).
Angles
Complementary Angles
Supplementary Angles |
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0806.1.7 Use a graphing calculator or
spreadsheet to create scatterplots of data and approximate lines of best
fit
Scatterplots
Using Scatterplots
Interactive Scatter plots |
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0806.1.8 Use a variety of methods to solve real-world
problems involving multi-step linear equations (e.g., manipulatives,
technology, pencil and paper).
Hands-On Equations (flipchart from Promethean Planet)
Using Two-Color Counters (interactive practice) |
State Performance Indicators:
Standard 2 – Number & Operations
Grade Level Expectations:
GLE 0806.2.1 Extend understanding of the real number system to
include irrational numbers.
GLE 0806.2.2 Solve problems involving exponents and scientific
notation using technology appropriately.
GLE 0806.2.3 Solve real-world problems using rational and irrational
numbers.
GLE 0806.2.4 Understand and use the laws of exponents.
Checks for Understanding
(Formative/Summative Assessment):
State Performance Indicators:
Standard 3 – Algebra
Grade Level Expectations:
GLE 0806.3.1 Recognize and generate equivalent forms for algebraic
expressions.
GLE 0806.3.2 Represent, analyze, and solve problems involving linear
equations and inequalities in one and two variables.
GLE 0806.3.3 Solve systems of linear equations in two variables.
GLE 0806.3.4 Translate among verbal, tabular, graphical and algebraic
representations of linear functions.
GLE 0806.3.5 Use slope to analyze situations and solve problems.
GLE 0806.3.6 Compare and contrast linear and nonlinear functions.
Checks for Understanding
(Formative/Summative Assessment):
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0806.3.1 Perform basic operations on algebraic
expressions (including grouping, order of operations, exponents,
square/cube roots, simplifying and expanding).
Order of Operations
Adding Polynomials (with algebra tiles)
Subtracting Polynomials (with algebra tiles)
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0806.3.2 Represent algebraic relationships with
equations and inequalities.
Real-world Scientific Notation Activity |
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0806.3.3 Solve systems of linear equations in two
variables and relate the systems to pairs of lines that intersect, are
parallel, or are the same line.
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0806.3.4 Understand the relationship between the graph
of a linear inequality and its solutions.
Solving Inequalities
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0806.3.5 Solve linear inequalities in two variables
(including those whose solutions require multiplication or division by a
negative number).
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0806.3.6 Identify x- and y-intercepts and slope of
linear equations from an equation, graph or table.
PowerPoint on Slope
Dingo PowerPoint Game on Slope
Pierre the Climbing Ant,
Slope of a Line from A Graph,
Slope of a Line Between Two Points,
Equations of Graphing Lines Method 2,
Special Lines,
Intro to Slope,
Slope of a Straight Line,
Tutorial on Slope,
How to Find Slope,
Slope-Wikipedia,
Slope-Intercept Form,
Slope (m) of a Line,
Testing Slope Formula,
Bottomless Worksheets,
Interactive Slope of a Line,
Matching Lines and Equations,
Practice matching lines and equations,
Slope and Y-Intercept,
Basic Slope Formula,
x- and y intercepts,
Catch the Fly,
Using Slope and y-Intercept,
Extra Practice,
Slope Calculator,
Graphing using Slope,
Lines with Two Points Tools,
Graphing Calculator |
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0806.3.7 Analyze situations and solve problems
involving constant rate of change.
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0806.3.8 Recognize a proportion as a special case of a
linear equation and understand that the constant of proportionality is
the slope, and the resulting graph is a line through the origin.
Proportions
Algebra Help with Proportions
Proportion Calculator
Ratio and Proportion Examples
Solving Proportions Game
Worksheet Word Problems Proportions
Proportion
Word Problems Worksheets (2)
Scale Factor
Unit Rate Worksheets
Proportions
Proportion Practice
Solving Proportion Equations
Creating Proportions from a Group Of Numbers
Similar Figures
Solving Proportions |
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0806.3.9 Given a function rule, create tables of values
for x and y, and plot graphs of nonlinear functions.
Guess the Function Rule
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0806.3.10 Distinguish quadratic and exponential functions
as nonlinear using a graph and/or a table of values.
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0806.3.11 Distinguish between the equations of linear,
quadratic, and exponential functions (e.g. function families such as y=x2,
y=2x, and y=2x).
Quadratic Equation Solver
Quadratic Equations
Solving the Quadratic Equation Interactive Tutorial |
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0806.3.12 Understand how rates of change of nonlinear
functions contrast with constant rates of change of linear functions.
Glencoe Rates of Change Quiz
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0806.3.13 Represent situations and solve real-world
problems using symbolic algebra.
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State Performance Indicators:
Standard 4 – Geometry & Measurement
Grade Level Expectations:
GLE 0806.4.1 Derive the Pythagorean theorem and understand its
applications.
GLE 0806.4.2 Understand the relationships among the angles formed by
parallel lines cut by transversals.
GLE 0806.4.3 Understand the necessary levels of accuracy and
precision in measurement.
GLE 0806.4.4 Understand both metric and customary units of
measurement.
GLE 0806.4.5 Use visualization to describe or identify intersections,
cross-sections, and various views of geometric figures.
Checks for Understanding
(Formative/Summative Assessment):
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0806.4.1 Model the Pythagorean Theorem.
Hotmath Pythagorean Theorem Quiz
Pythagorean Theorem Virtual Practice
Pythagorean Theorem Lesson Tutorial with Video Explanations
Fun
Trivia Pythagorean Theorem Quiz
The Geometry of Triangles Reference Guide |
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0806.4.2 Use the converse of the Pythagorean Theorem to
determine if a triangle is a right triangle.
Math to Build On
Understanding Pythagorean Theorem
Converse of the Pythagorean Theorem Video |
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0806.4.3 Select or use the appropriate measurement
instrument to determine or create a given length, area, volume, angle,
weight, or mass.
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0806.4.4 Understand how the precision of measurement
influences accuracy of quantities derived from these measurements.
Glencoe Measurement Precision Quiz
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0806.4.5 Analyze the congruent and supplementary
relationships of angles formed by parallel lines and transversals (such
as alternate interior, alternate exterior, corresponding, and adjacent).
Congruent Angles Tutorial
Complementary Angles Puzzle
Explaining Angles
Geometric Terms
Complementary and Supplementary Angles Matching Game
Parallel Lines Tutorial
Parallel
Lines with Transversal Partner Lab
Sail
Making – a Texas Instruments Graphing Calculator Lab
Investigating Angles formed by Parallel Lines Lab
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0806.4.6 Make within-system and between-system
conversions of derived quantities including distance, temperature, and
money.
Metric Converter
Unit Conversion Dartboard
Glencoe Unit Conversions Quiz
Mass and Capacity Conversions Quiz
Units Conversions Matching Game
Finding Fractions of Unit Conversions Interactive Site
Temperature Quiz
Celsius and Fahrenheit Quiz |
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0806.4.7 Visualize or describe the cross-section
resulting from the intersection of a plane with a 3-dimensional figure.
Cross-Sections Exploration
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0806.4.8 Build, draw, and work with 2- and
3-dimensional figures by means of orthogonal views, projective views,
and/or nets.
Interactive Cube Nets
Paper Folding – Models of the Platonic Solids
Virtual Rubix Cube Net
Triangle Nets Lab
Cuboid Wrapping Lab
Matching Nets Activity
Exploring Cubes Activity
3-D Visualization
Interactive
3-D
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State Performance Indicators:
Standard 5 – Data Analysis,
Statistics, & Probability
Grade Level Expectations:
GLE 0806.5.1 Explore probabilities for compound, independent and/or
dependent events.
GLE 0806.5.2 Select, create, and use appropriate graphical
representations of data (including scatterplots with lines of best fit)
to make and test conjectures.
GLE 0806.5.3 Evaluate the use of statistics in media reports.
Checks for Understanding
(Formative/Summative Assessment):
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0806.5.1 Solve simple problems involving probability
and relative frequency.
Probability Powerpoint and Quiz
Probability Lesson with Spinner, Die, and Quiz |
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0806.5.2 Compare probabilities of two or more events
and recognize when certain events are equally likely.
NUMB3RS: Blackjack Probability
Compound Probability Quiz
Dice Probability |
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0806.5.3 Recognize common misconceptions associated
with dependent and independent events.
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0806.5.4 Explain the benefits and the limitations of
various representations (i.e., bar graphs, line graphs, circle graphs,
histograms, stem-and-leaf plots, box plots, scatterplots) of data.
Interactive Graph Creator
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0806.5.5 Create and interpret box-and-whisker plots and
scatterplots.
Box and Whisker/Scatter Plot Interactive Quiz
Distance to School Scatter Plot Activity
Body Measurement Scatter Plot Activity
Celebrity Age Scatter Plot Activity
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0806.5.6 Use observations about differences between two
or more samples to make conjectures about the populations from which the
samples were taken.
Biased Information Quiz
Biased Information Video Lesson and Interactive Quiz
Biased Information Lesson Plan |
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0806.5.7 Estimate lines of best fit to make and test
conjectures.
How
to Construct Lines of Best Fit
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0806.5.8 Consider the source, design, analysis, and
display of data to evaluate statistics reported in the media.
Going, Going, Gone from Texas Instruments
Promethean Graphs Flipchart
Skillswise Graphs and Charts |
State Performance Indicators:
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