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TRANSCRIPT
Chapter 3:
Real Numbers and
The Pythagorean
Theorem
Personal Tutor Examples Formative Assessment:
Lesson Quiz Online
DoDEA Standard Correlation Additional Resources Related to
the DoDEA Standards
Chapter Resources: Chapter 3 Readiness Quiz, Chapter 3 Family Letter Problem Solving Journals by Lesson: Chapter 3 Journals
October 30
Lesson 3-1: Ex 1: Find Square Roots Lesson 3-1 Quiz 8.M.1.f: apply order of
operations to simplify
Lesson Plans/Practice:
Square Roots (pg. 144)
Ex 2: Find Square Roots Ex 3: Find Square Roots
Ex 4: Use Square Roots
to Solve an Equation
Ex 5: Real-World
Example
expressions and perform
operations involving numbers
written in exponential notation or
radical form;
8.M.2.h: represent and solve
problems using various
representations, e.g., graphs,
tables, and equations;
Learning about Square Roots
Estimating Square Roots Notes
Identify Perfect Squares
Estimate Square Roots practice
“Pr oof of t he Pyt hagor ea n
t heor em”
Interactive Pythagorean Explorer
Pythagorean Theorem Notes,
Practice, and Quiz
SMART Exploring the
Pythagorean Theorem
Videos/Lesson Tutorials:
Math Interactive-Square Roots
Exploring the Pythagorean
Do Not Do
Lesson 3-2: Estimating Square
Roots (pg. 148)
No DoDEA 8th
Grade Math Standard
Lesson 3-3: Problem Solving
Investigation: Use a
Venn Diagram
(pg. 152)
Ex 1: Use a Venn
Diagram
Lesson 3-3 Quiz DoDEA Process Standards 8.M.2.h: represent and solve
problems using various
representations, e.g., graphs,
tables, and equations;
Theorem
Video Notes on the Pythagorean
Theorem
Theorem of Pythagoras
(discovery education)
The Pythagoreans-History
(discovery education)
An Informal Proof (discovery
education)
Pythagorean Theorem (brainpop)
Right Triangles, Altitudes, and
the Pythagorean Theorem
(discovery education)
October 31
Lesson 3-4: The Real Number
System (pg. 155)
Ex 1: Classify Numbers Ex 2: Classify Numbers
Ex 3: Classify Numbers
Ex 4: Graph Real
Lesson 3-4 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Numbers Ex 5: Compare Real
Numbers Ex 6: Compare Real
Numbers Ex 7: Real-World
Examples
Introduction to the Pythagorean
Theorem (khan)
Pythagorean Theorem (khan)
Coordinate System-Real World
Connections discovery
educaiton)
Virtual Manipulatives/Applets:
Squaring the Triangle
Games:
Estimating Non-Perfect Squares
Battleship Game
Wha t’ s t he Poi nt ?
Planet Hop Coordinates
Billy Bug Graphing
Mine Field Maze Coordinates
October 30
Explore 3-5: Geometry Lab: The
Pythagorean
Theorem (pg. 161)
See lesson 3-5 See lesson 3-5 8.M.3.b: verify the Pythagorean
Theorem;
November 5 Lesson 3-5:
The Pythagorean
Theorem (pg. 162)
Ex 1: Find a Missing
Length Ex 2: Find a Missing
Length Ex 3: Identify a Right
Triangle
Lesson 3-5 Quiz 8.M.3.b: verify the Pythagorean
Theorem; 8.M.3.c: apply the Pythagorean
Theorem to determine if a
triangle is a right triangle or to
find a missing side of a right
triangle;
November 5 Lesson 3-6:
Ex 1: Real-World Lesson 3-6 Quiz 8.M.3.b: verify the Pythagorean
November 7
Lesson 3-6 Using the
Pythagorean
Theorem (pg. 167)
Example Ex 2: Test Example
Theorem; 8.M.3.c: apply the Pythagorean Theorem
to determine if a triangle is a right triangle
or to find a missing side of a right triangle;
November 7
Extend Lesson 3-6: Geometry Lab: Graphing
Irrational Numbers
(pg 172)
See lesson 3-6 See lesson 3-6 8.M.2.h: represent and solve
problems using various representations,
e.g., graphs, tables, and equations;
8.M.3.c: apply the Pythagorean Theorem
to determine if a triangle is a right triangle
or to find a missing side of a right triangle;
November 7
Lesson 3-7: Geometry: Distance
on the Coordinate
Graph
(pg. 173)
Ex 1: Name an Ordered
Pair Ex 2: Name an Ordered
Pair Ex 3: Graphing Ordered
Pairs
Ex 4: Graphing Ordered
Pairs Ex 5: Find Distance on
Lesson 3-7 Quiz 8.M.3.c: apply the Pythagorean
Theorem to determine if a
triangle is a right triangle or to
find a missing side of a right
triangle;
8.M.3.e: plot ordered pairs of
rational numbers on the
coordinate plane in all four
quadrants;
the Coordinate Plane Ex 6: Real-World
Example
Common Assessment Options:
Glencoe Online Practice Test Chapter 3
EXAM VIEW Chapter 3 Standards-Based Pre-Test WORD Version
EXAM VIEW Chapter 3 Standards-Based Post-Test WORD Version
Standards-Based Tracking Guide Chapter 3
-
Chapter 3 Test Done By November 12 or Before
UNIT 2: Patterns, Relationships, and Algebraic Thinking
Chapter 4:
Proportions and
Similarity
Personal Tutor
Examples
Formative Assessment:
Lesson Quiz Online
DoDEA Standard Correlation Additional Resources Related
to the DoDEA Standards
Chapter Resources: Chapter 4 Readiness Quiz, Chapter 4 Family Letter
November 12 Lesson 4-1:
Notes 4-1 Ratios and Rates
(pg. 190)
Ex 1: Write Ratios in
Simplest Form Ex 2: Write Ratios in
Simplest Form Ex 3:Find a Unit Rate
Ex 4: Real-World
Example
Lesson 4-1 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
8.M.4.d: solve simple rate
problems;
Lesson Plans/Practice:
Skittles Ratio (also includes
graphing, proportion, and
percent)
SMART-Ratios and
Proportions
SMART-Proportions
Jeopardy
Setting up Proportions
November 12 Lesson 4-2
Notes 4-2 Proportional and
Non-proportional
Relationships
(pg. 194)
Ex 1: Identify
Proportional
Relationships Ex 2: Identify
Proportional
Relationships
Lesson 4-2 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
The Basics of Proportions
Proportion Practice
Proportion Word problem
Practice
Graphing Rate of Change
Video/Lesson Tutorials:
Proportional and
Nonproportional
Relationships November 18 Lesson 4-3:
Notes 4-3
Ex 1: Find a Positive
Rate of Change
Lesson 4-3 Quiz 8.M.1.g: estimate and solve
problems that include rational
Rate of Change (pg. 198)
Ex 2: Find a Negative
Rate of Change Ex 3: Compare Rates
of Change
numbers, ratios, and proportions; 8.M.2.i: connect the rate of
change to the slope of a line;
8.M.4.d: solve simple rate
problems;
Proportional Relationships
SPY GUYS Ratio
Ratios (your school must have
a brain pop account)
Ratios and Tangrams
Ratios
Ratio Tables
Proportions (your school
must have a brain pop
account)
TEAMS: Number Concepts
for Middle School: Problem
Solving Involving Proportions
(your school must have a
November 18
Lesson 4-4: Constant Rate of
Change (pg. 204)
Ex 1: Identify Linear
Relationships Ex 2: Find a Constant
Rate of Change Ex 3: Identify
Proportional
Relationships
Lesson 4-4 Quiz 8.M.2.i: connect the rate of
change to the slope of a line; 8.M.2.j: analyze changes in linear
relationships using graphs;
8.M.4.d: solve simple rate
problems;
November 20 Lesson 4-5: Notes 4-5 Solving proportions
(pg. 210)
Ex 1: Write and Solve
a Proportion Ex 2: Real World
Example Ex 3: Write and Use an
Equation
Lesson 4-5 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
discovery education account)
Ratio and Proportion real
World Example (your school
must have a discovery
education account)
Ratio, Proportion, and Percent
overview (your school must
have a discovery education
account)
Proportional Reasoning in our
World (your school must have
a discovery education
account)
Exploring Rate Ratio and
November 20 Lesson 4-6: Notes 4-6
Problem Solving
investigation:
Draw a Diagram
Ex 1: Draw a Diagram Lesson 4-6 Quiz DoDEA Process Standards 8.M.2.h: represent and solve
problems using various
representations, e.g., graphs,
tables, and equations;
(pg. 216)
November 22
Lesson 4-7: Similar
polygons (pg. 218) Notes 4-7
Ex 1: Identify Similar Polygons Ex 2: Find Missing Measures Ex 3: Test Example
Lesson 4-7 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects; November 22
Extend 4-7:
Geometry Lab: The
Golden Rectangle
(pg. 224)
See Lesson 4-7 See Lesson 4-7 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects;
November 22 Lesson 4-8: Notes 4-8
Dilations
(pg. 225)
Ex 1: Draw a Dilation Ex 2: Graph a Dilation Ex 3: Find and Classify a Scale Factor
Ex 4: Real World
Lesson 4-8 Quiz
8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Example Fishin for Ratios and
Worksheet
Class Game-Criss Cross and
Worksheet
Class Game-Map Sense
DO NOT DO
Extend 4-8: Spreadsheet Lab:
Dialations (pg. 231)
See Lesson 4-8 See Lesson 4-8 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
November 26
Lesson 4-9:
Notes 4-9 Indirect
Measurement (pg. 232)
Ex 1: Use Shadow
Reckoning Ex 2: Use Indirect
Measurement
Lesson 4-9 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
November 26
Lesson 4-10: Notes 4-9 Scale Drawings and
Models (pg. 236)
Ex 1: Real World
Example Ex 2: Real world
Example Ex 3: Find the Scale
Factor Ex 4: Real Word
Example
Lesson 4-10 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects;
Common Assessment Options:
Glencoe Online Practice Test Chapter 4
EXAM VIEW Chapter 4 Standards-Based Pre-Test WORD Version
DOWNLOADING THE EXAMVIEW FILE: (you can alter the
test or give the test over your local LAN)
EXAM VIEW Chapter 4 Standards-Based Post-Test WORD Version
Standards-Based Tracking Guide Chapter 4
Chapter 5:
Percent
Personal Tutor
Examples
Formative Assessment:
Lesson Quiz Online
DoDEA Standard Correlation
Additional Resources Related
to the DoDEA Standards
Chapter Resources: Chapter 5 Readiness Quiz, Chapter 5 Family Letter
Chapter 4 Test By Dec. 2 or Before
Dec. 2 Lesson 5-1:
Notes 5-1 Ratios and Percents
(pg. 252)
Ex 1: Write Ratios as
Percents Ex 2: Write Ratios as
Percents Ex 3: Real World
Example Ex 4: Real World
Example Ex 5: Real World
Example
Lesson 5-1 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Lesson Plans/Practice:
Practice Worksheet Creator:
Fractions, Decimals, and
Percents
Percent Proportion and Quiz
Percent Proportion and Quiz 2
Percent Proportion Note
“C heat” Sheet
Percent of Change Notes and
Quiz
Percent of Change
Worksheet-and Real World
Dec. 2 Lesson 5-2: Comparing
Fractions, Decimals,
Ex 1: Percents as
Decimals Ex 2: Percents as
Lesson 5-2 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Examples
Percent of Change Practice
Percent of Change Real
and Percents Notes 5-2
(pg. 256)
Decimals Ex3: Decimals as
Percents Ex 4: Decimals as
Percents Ex 5: Fractions as
Percents Ex 6: Fractions as
Percents Ex 7: Real World
Example Ex 8: Ordering
Numbers
World Project
Simple Interest Lesson and
Quiz
Simple Interest Practice
Simple Interest Lesson,
Classwork, Homework
Video/Lesson Tutorials:
Ratio, Percent, and Proportion
Compare Rational Numbers
The Percent Proportion
Percent of Change
Manipulatives/Applets:
LAB-Estimating Percent
Games:
Decention-a Math Game
Fractions, Decimals, and
Percents
Changing Fractions and
Decimals to Percents
Quia-Fraction, Decimal,
Percent Jeopardy
Class Game-Doughnut
Fractions, Decimals, and
Percents
Dec. 4 Lesson 5-3:
Notes 5-3
Algebra: The
Percent Proportion (pg. 263)
Ex 1: Find the Percent Ex 2: Find the Part
Ex 3: Find the Whole
Ex 4: Percents Greater
than 100
Ex 5: Real World
Example
Lesson 5-3 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Dec. 4
Lesson 5-4: Notes 5-4 Finding Percents
Mentally (pg. 268)
Ex 1: Use Fractions to
Compute Mentally Ex 2: Use Fractions to
Compute Mentally Ex 3: Use Fractions to
Compute Mentally
Ex 4: Use Fractions to
Compute Mentally Ex 5: Real World
Example
Lesson 5-4 Quiz
8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Fraction Four
Percent of Change Study
Stack
Class Game-Percent of
Change Rags to Riches
Simple Interest Game
Dec. 6
Lesson 5-5: Problem Solving
Investigation:
Reasonable
Answers
(pg. 272)
Ex 1: Reasonable
Answers
Lesson 5-5 Quiz
DoDEA Process Standards
Dec. 6
Lesson 5-6 Notes 5-6
Percent and
Estimation (pg. 275)
Ex 1: Estimate
Percents of Numbers Ex 2: Estimate
Percents of Numbers Ex 3: Estimate
Percents of Numbers
Ex 4: Real World
Example
Lesson 5-6 Quiz
8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Ex 5: Estimate
Percents Ex 6: Estimate
Percents Ex 7: Estimate
Percents
Dec. 10
Lesson 5-7:
Notes 5-7 Algebra: The
Percent Equation (pg. 279)
Ex 1: Find the Part Ex 2: Find the Percent
Ex 3: Find the Whole
Ex 4: Real World
Example
Lesson 5-7 Quiz
8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Dec. 10
Lesson 5-8: Notes 5-8
Percent of Change
(pg. 284)
Ex 1: Real World
Example Ex 2: Real World
Example Ex 3: Find the Selling
Price Ex 4: Find the Sale
Price
Lesson 5-8 Quiz 8.M.1.g: estimate and solve
problems that include rational
numbers, ratios, and proportions;
Dec. 10 Ex 1: Find SimpleInterest
Lesson 5-9 Quiz 8.M.1.g: estimate and solve
problems that include rational
Lesson 5-9:
Notes 5-9 Simple Interest
(pg. 290)
Ex 2: Test Example
Ex 3: Real World
Example
numbers, ratios, and proportions; 8.M.2.d: use symbolic algebra to
represent situations and to solve
problems involving linear and
nonlinear relationships;
DO NOT DO
Extend 5-9: Spreadsheet Lab:
Compound Interests (pg. 294)
See Lesson 5-9 See Lesson 5-9 8.M.2.d: use symbolic algebra to
represent situations and to solve
problems involving linear and
nonlinear relationships;
Chapter 5 Test On Dec. 12 OR Before
Glencoe Online Practice Test Chapter 5
EXAM VIEW Chapter 5 Standards-Based Pre-Test WORD Version
EXAM VIEW Chapter 5 Standards-Based Post-Test WORD Version
Standards-Based Tracking Guide Chapter 5
UNIT 3: Geometry and Measurement
Chapter 6: Personal Tutor Formative Assessment: DoDEA Standard Correlation Additional Resources Related
Geometry and
Spatial Reasoning
Examples Lesson Quiz Online to the DoDEA Standards
Chapter Resources: Chapter 6 Readiness Quiz, Chapter 6 Family Letter
Dec. 12 Lesson 6-1:
Notes 6.1 Line and Angle
Relationships (pg. 306)
Ex 1: Find a Missing
Angle Measure Ex 2: Find a Missing
Angle Measure Ex 3: Real World
Example
Lesson 6-1 Quiz 8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects;
8.M.3.d: identify and describe
angle relationships formed by
parallel lines cut by a transversal
using appropriate terminology,
e.g., alternate interior, alternate
exterior, supplementary, vertical
angles, corresponding angles,
complementary, consecutive
interior;
Lesson Plans/Practice:
Line and Angle Relationships
Parallel Lines and Pairs of
Angles
Special Angle pairs
Special Angles Quiz
Complementary and
Supplementary Angles
City Design project
Identifying congruent Angles in
a Transversal
Interior and Exterior Angles in
Polygons
Interactive Interior and Exterior
Angles
Interior Angles
Exterior Angles
Congruent Polygon Notes
Video/Lesson Tutorials:
Parallel Lines and Angles (your
school must have a discovery
education account)
Parallel and Perpendicular Lines
(your school must have a brain
Dec. 12 Extend Lesson 6-1:
Geometry Lab:
Triangles
(pg. 312)
See Lesson 6-2 See Lesson 6-2 8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects;
8.M.3.d: identify and describe
angle relationships formed by
parallel lines cut by a transversal
using appropriate terminology,
e.g., alternate interior, alternate
exterior, supplementary, vertical
angles, corresponding angles,
complementary, consecutive
interior;
pop account)
Exploring Parallel Lines
Geometry: Angle Relationships
Complementary Angles
Asset Math: Complementary
Angles
Investigating Congruent
Triangles
Transformations Brain Pop
Study Jams-Transformations
Math Mansion-Reflection (your
school must have a discovery
education account)
Spy Guys-Slides and Flips
STUDY JAMS-Congruent Figures
Manipulatives/Applets:
Interactive Transversal
LAB-Reflections
LAB-Translations
Dec. 12 Lesson 6-2:
Problem Solving
Investigation: Use
Logical Reasoning
(pg. 314)
Ex 1: Use Logical
Reasoning
Lesson 6-2 Quiz DoDEA Process Standards 8.M.2.h: represent and solve
problems using various
representations, e.g., graphs,
tables, and equations;
Dec. 16 Lesson 6-3:
Polygons and
Angles (pg. 316)
Ex 1: Find the Sum of
Interior Angle
Measures Ex 2: Real World
Example
Lesson 6-3 Quiz 8.M.2.a: identify and describe
patterns and sequences by finding
the nth term;
8.M.4.c: find the sum of the
interior and exterior angles of
regular convex polygons with and
without the use of a protractor;
Dec. 16 Lesson 6-4:
Congruent Polygons
(pg. 320)
Ex 1: Congruent
Polygons Ex 2: Find Missing
Measures Ex 3: Find Missing
Measures
Lesson 6-4 Quiz 8.M.3.a: know and apply
relationships among the angles,
side lengths, perimeters, areas,
and volumes of similar objects;
8.M.4.c: find the sum of the
interior and exterior angles of
regular convex polygons with and
without the use of a protractor;
DO NOT DO Extend 6-4:
Geometry Lab:
Investigating
(pg. 324)
No DoDEA 8th
Grade Math Standard
DO NOT DO Lesson 6-5:
Symmetry
(pg. 327)
No DoDEA 8th
Grade Math Standard
Dec. 18 Lesson 6-6:
Reflections
(pg. 332)
Ex 1: Draw a
Reflection Ex 2: Reflect a Figure
Over an Axis Ex 3: Reflect a Figure
Over an Axis Ex 4: Use a Reflection
Lesson 6-6 Quiz 8.M.3.e: plot ordered pairs of
rational numbers on the
coordinate plane in all four
quadrants;
8.M.3.f: use geometric models to
represent and explain numerical
and algebraic relationships;
Dec. 18 Lesson 6-7:
Translations
(pg. 337)
Ex 1: Draw a
Translation Ex 2: Translate in the
Coordinate Plane
Ex 3: Test Example
Lesson 6-7 Quiz 8.M.3.e: plot ordered pairs of
rational numbers on the
coordinate plane in all four
quadrants;
8.M.3.f: use geometric models to
represent and explain numerical
and algebraic relationships;
Common Assessment Options:
Glencoe Online Practice Test Chapter 6
EXAM VIEW Chapter 6 Standards-Based Pre-Test WORD Version
EXAM VIEW Chapter 6 Standards-Based Post-Test WORD Version
Standards-Based Tracking Guide Chapter 6