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Orange County
Public Schools
Order of Instruction
First Quarter
2010-2011
th
Intensive Math 8 Grade
Course #1204000
Mathematics Order of Instruction
Orange County Public Schools
2010-2011
Intensive Math 8th Grade
Intensive Math Instructional Strategies
ESSENTIAL QUESTION: How can I provide the most support for my students?
TOPIC INSTRUCTIONAL RESOURCES
Timed Facts Multiplication Quiz - Timed Quiz, Self Correcting and Printable for Multiplication, Division,
• Students should practice their multiplication Addition and Subtraction
and division facts at least 3 times per week. Timed Multiplication – 3 minute timed multiplication facts quiz
This can be done online via the links provided Free Rice – A website where students answer multiplication facts in multiple-choice form.
in the next box or with paper and pencils This is a site better for practice not to be graded.
programs such as Mastering Math Facts.
• Graded timed tests should be given at least
every two weeks.
Worksheet Usage Math Practice Worksheets and Study Guides – Math Moves U University worksheets for
• Instruction should not be primarily worksheet the middle school.
based. Math Drills – Drill type math worksheets with multiple levels of difficulty for each topic.
Kuta – Algebra based worksheets.
• A variety of delivery methods should be used Super Teacher Worksheets – 23 Math topics are covered on this website full of
including, but not limited to: hands-on activities, worksheets
web games, classroom games, cooperative Super Kids Math Worksheets – 16 math topics are covered on this website where you set
learning, peer tutoring, and worksheets. the parameters of the final product
Dad's Worksheets – Over 5,000 math worksheets
Classroom Management Sign Me Up – The OCPS website dedicated to professional development.
• OCPS offers classes through Sign Me Up Marzano – Classroom tips and research for classroom management techniques.
throughout the school year. Learning Stations – Middle/High School management ideas for creating learning stations
in the classroom.
Computer Lab/Classroom Use Computer Lab Strategies – Classroom Tech provides a list of strategies for before, during
• Be aware of your school policies regarding the and after a visit to the computer lab.
use of computer labs.
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 2 of 10
Quarter 1
Response to Intervention Intervention Central – Website with math based differentiated instruction ideas.
• Differentiated Instruction should meet the PDF Power Point – Power Point with examples on differentiated instruction in a math
needs of your student population. classroom.
UCF RTI Website – Created by UCF, a website dedicated to response to intervention
• Small Groups techniques.
Vocabulary Daily 2 Minute Vocabulary – Student created, 4 section circle map
• Vocabulary should be infused throughout the Best Practices Power Point – Power Point explaining best practices used to introduce
course in daily lessons. and learn vocabulary.
Flash Card Machine – Free registration is required to create your own flash cards.
• It should be introduced and applied in various Interactive Word Wall Ideas – Ideas on how to create and use a word wall in your
ways. classroom.
Photo Example – Example of an interactive word wall including word, definition and
• Word Walls should be interactive with student picture.
generated work and definitions. Printable Word Wall Words
FCAT OCPS FCAT Resource Page- This page provides numerous resources to prepare
• Extra time was allowed in quarter 3 to provide students for the exam.
extra practice and review for FCAT. FCAT Test Item Specifications- This site will provide detailed information in regards to
the benchmarks being tested.
6-8 Reference Sheet
Intensive Math Professional Development www.signmeup.ocps.net- Click on Instructional then Secondary Mathematics.
• Trainings will be provided throughout the
school year and will be posted on
www.signmeup.ocps.net
Workbook Referenced www.wendy.appleby@ocps.net - Workbook contact
• Working with Numbers Algebra workbook is
referenced throughout
o Please contact
wendy.appleby@ocps.net to obtain
your copy.
Message Board www.pdsonline.ocps.net –This is the link to Professional Development Services where
• A message board has been created to facilitate you will be able to login and access the message board.
communication among Intensive Math
Teachers.
o Please contact
debra.mulligan@ocps.net to request
access.
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 3 of 10
Quarter 1
Mathematics Order of Instruction
Orange County Public Schools
2010-2011
Intensive Math 8th Grade
Time: First Quarter
ESSENTIAL QUESTION: How does the position of a digit in a number affect its value? How are powers and exponents used in expressions
and equations? What are the steps in Order of Operations? How do you add, subtract, divide and multiply decimals and integers? What
is the difference between an expression and an equation? How do you solve expressions and equations?
CONCEPT: Place Value, Powers, Exponents, Scientific Notation, Order of Operations, Decimals, Integers, Expressions, Equations
STANDARDS/TASK ANALYSIS INSTRUCTIONAL RESOURCES
The student … EXAMPLES
MA.8.A.6.1
Use exponents and scientific notations to write large and small numbers and vice versa and to solve problems
Supporting Benchmark for MA.8.A.6.1 Generate worksheets for unit What is the place value of the underlined
MA.5.A.2.1 • Math-drills digit?
Represent addition and subtraction of decimals and • Place Value Worksheets
fractions with like and unlike denominators Place Value 45.78933
using models, place value, or properties. *WS: Math Intervention Book 2 pp.74-77
• Demonstrates an understanding of place *WS: Naming Decimal Places, 8,459.32167
value *Act: Intro Place Value Activity, 3 Place Value
o Recognizes place values up to Activities, Flip Book for Place Value, Math
hundred thousandths Rummy Game
*Game: The Value of a Decimal Folder Game
*Web Game: Ordering Decimals,
Place Value On-line Games
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 4 of 10
Quarter 1
Supporting Benchmark for MA.8.A.6.1 Powers/Exponents What is the value of the expression 14
MA.7.A.3.2 *WS: Laws of Exponents, Exponents and 5²?
Add, subtract, multiply, and divide integers, Division, Exponents and Multiplication, Powers,
fractions, and terminating decimals, and perform Products and Quotients, Exponents to Numbers Write 3,600,000,000 in
exponential operations with rational bases and *ACT: Definitions, Power of Powers Activity standard scientific notation.
whole number exponents including solving *Game: Power Exponent Jeopardy
problems in everyday contexts. *Web Game: Softschools, Slidermath,
• Evaluate powers/exponents Exponents, Math Play Write without the use
• Apply scientific notation of exponents.
Scientific Notation
*WS: Scientific Notation, Writing in Scientific
Notation, Operations in Scientific Notation
Supporting Benchmark for MA.8.A.6.1 Order of Operations Students look for ( ) first, exponents
MA.5.A.6.2 Generate worksheets for unit second, multiplication and division from left
Use the order of operations to simplify expressions • teAchnology to right third, and addition and subtraction
which include exponents and parentheses. • Math-drills from left to right.
• Evaluate the expressions • Free Math Worksheets
• Combine like terms
• Apply order of operations *WS: Order of Operations, Oder of Operations
with Rules, Order of Operation - Easy, Order of
Operation - Medium, Which goes first, and then,
hard, Which Goes 1st, and then-Harder, Order
of Operations Preview
*Act: Order of Operations Bingo,
Teaching Videos, Four by Six Card Game
*Web Game: Hockey Substitution, Order of
Operations Millionaire
MA.8.A.6.4
Performs operations on real numbers (including integers, exponents, radicals, percents, scientific notation, absolute value, rational numbers, and
irrational numbers) using multi-step and real world problems.
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 5 of 10
Quarter 1
Supporting Benchmarks for MA.8.A.6.1 Compare and Order Decimals
MA.5.A.2.1 *WS: Math Intervention Book 2 pp.82-85 What is the place value of the underlined
Represent addition and subtraction of decimals and *Act: Compare and Order PP digit?
fractions with like and unlike denominators *Game: Decimal War
using models, place value, or properties. *Web Games: Compare and Order Decimals
• Demonstrates an understanding of place 32.24 + 6 = 38.24
value Adding and Subtracting Decimals
o Recognizes place values up to *WS: Math Intervention – Book 2 – pp.96-99, 5.78 - .1 = 5.68
hundred thousandths Add Horizontally, Subtract Horizontally,
• Performs operations of decimals efficiently *Act: Let’s Shop, Add and Subtract Decimals
o Adds and subtracts decimals PP
*Game: Decimal Fraction Buddies
*Web Games: Decimal Squares
Supporting Benchmarks for MA.8.A6.1 Multiply and Divide Decimals By whole numbers
MA.6.A.1.2 *WS: Math Intervention – Book 2 – pgs.100-117
Multiply and divide fractions and decimals *WS: Decimal Mult Medium, Horizontal .2 x 4 = .8
efficiently. Decimal Division
• Multiplies and divides decimals *Act: Multiply and Divide teaching video, .8 ÷ 4 = .2
o Decimals by whole numbers Activity 3: Exploring The Effect of Operations on
o Decimals by decimals Decimals By decimals
*Game: Bingo (create the problems)
*Web Games: Multiplying Decimals Game 2 x .4 =.08
.08 ÷ .4 = .2
Supporting Benchmarks for MA.8.A6.1 Multiply and Divide Decimals Example:
MA.6.A.1.1 *Act.: Math Intervention – Book 2 – pp.104-105 For division of fractions, students might use
Explain and justify procedures for multiplying and *TE: pp. 95 drawings, manipulatives, and symbolic
dividing fractions and decimals. notation to describe how and explain why
they can find a common denominator and
then divide just the numerators to find the
quotient.
• A cook made four pizzas that had 3/5
of a package of mushrooms on each.
How many packages of mushrooms
were used?
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 6 of 10
Quarter 1
Supporting Benchmarks for MA.8.A.6.1 Generate worksheets for unit
MA.5.A.6.3 • Math Drills – Integers, Number line
Describe real-world situations using positive and
negative numbers. Number line, Opposites & Absolute Value
• Identifies integers on a number line *WS: Math Intervention – Book 3 - pp. 2 – 9
o Positive and negative numbers
• Finds opposite and absolute value of *Act: How to teach integers, Integer Number
integers Line Activity, Flipping for Integers, Lesson Plan
with 6 integer activities Absolute value
*Game: Stack Coins for Integer Action
*Web Game: Line Jumper Simplify:
| –8 | = | –8 | = 8
Supporting Benchmarks for MA.8.A.6.1 Compare & Order Rational Numbers Example:
MA.5.A.6.4 *WS: Math Intervention – Book 3 -pp. 10-21,
Compare, order, and graph integers, including *Act.: Lesson Plan Integers Ordering +,-, Exit -17 < 18
integers shown on a number line. Card -14 > -15
• Compares and orders rational numbers *Web Game: Fraction Frenzy, Number Balls
Locate the following integers on the number
line. Then list them in order from
smallest to greatest on the line below.
4, 10, -2, 7, -5, 2, -7, 9, 1
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 7 of 10
Quarter 1
Supporting Benchmark for MA.8.A.6.1 Generate worksheets for unit On a cold day, Rupert measured the
MA.7.A.3.2 • Math Drills – Integers, outside temperature and discovered it
Add, subtract, multiply, and divide integers, was 13ºF. Each hour after that, Rupert
fractions, and terminating decimals, and perform Adding Integers measured the outside temperature and
exponential operations with rational bases and *WS: Math Intervention – Book 3 -pp. 26-29 discovered it was 3ºF colder than the
whole number exponents including solving *Act.: Lesson Plan Integers using models, previous hour’s temperature. At this
problems in everyday contexts. Lesson Plan Integers +,- , Integer Songs, Name rate, how many hours would it takes for
Value the temperature to reach –17ºF?
• Add integers using models *Game: Math Intervention – Book 3 -pp.24
• Add and subtract integers *TE: pp. 96 Answer Options: A. 4 hours
*Game: 2 Color Counter B. 9 hours
*Web Game: Arcademic C. 10 hours
D. 30 hours
Subtracting Integers
*WS: Math Intervention – Book 3 -pp. 30-33 Answer Key: C
Subtract Integers, Adding+Subtracting Integers
*Act.: Integer Number line Activity, Integer
Cartoon Strip Mini Project, The Value of Names
*Game: Add & Subtract
*Web Game: Subtraction Table
Supporting Benchmarks for MA.8.A.6.1 Multiply and Divide Integers 4 x -5 = -20
MA.5.A.6.3 -5 x -5 = 25
Describe real-world situations using positive and Multiply Integers
negative numbers. *WS: Math Intervention – Book 3 -– pp.34-37 -20 ÷ 5 = -4
• Multiplies and divides integers *WS: Multiplying Decimals, Multiplying Integers 20 ÷ -5 = -4
• Multiplies and divides positive and negative *ACT: Modeling Integer Multiplication
integers with real world problems *Game: Integer War (4 operations), Activity
Integer-Flash
*Web Game: Arcademic, Multiplying Integers,
Divide Integers
*WS: Math Intervention – Book 3 -– pp.38-41
*WS: Dividing Integers
*ACT: Multiplying and Dividing Integers
*Game: Integer Card Games
*Web Game: Dividing Integers
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 8 of 10
Quarter 1
Supporting Benchmarks for MA.8.A.6.1 Problem Solving & Rational Numbers Mt. Everest, the highest elevation Asia, is
MA.5.A.6.3 *WS: Math Intervention – Book 3 -pp. 42-45 29,028 feet above sea level. The Dead Sea,
Describe real-world situations using positive and *WS: Math Intervention – Book 3 -pp.46-49 the lowest elevation, is 1,312 feet below sea
negative numbers. *Web Game: Integer Jeopardy level. What is the difference between these
• Multiplies and divides integers two elevations?
Multiplies and divides positive and negative integers
with real world problems
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 9 of 10
Quarter 1
Place Value – point, standard form, expanded form, zero, verbal/written names: (tenths, hundredths, thousandths, ten-thousandths),
Powers/Exponents- base, power, exponent, squared, cubed, standard form, exponential form, factors
Vocabulary
Scientific Notation – base, power, evaluate, solve
Order of Operations- operations, simplify, parenthesis, powers, exponent
Decimals – point, repeating, terminating decimal, divisor, dividend, quotient
Integers- positive, negative, absolute value, number line, withdraw, decrease, increase, deposit, gain, loss
Misconceptions
• Students see a number without an exponent and assume that the exponent is zero. 5 ≠50 but 5=51
• Students have problems comprehending and applying exponential rules.
• Students sometimes do not see the difference in decimal place value names i.e. thousands (1,000) and thousandths (1/1000).
• Students will try to apply order of operation by doing all the multiplication before division instead of working them from left to
right whichever comes first. Example: 5x10÷2x4 might become (5x10)÷(2x4)
Web Sites:
Flash Cards for Math This is free but you have to sign in, then you can make or copy flash cards for the students.
Created Jeopardy Math Games Various math jeopardy games (already created).
Supporting
Resources
Math Sites from OCPS This site links to the math sites at OCPS.
*WS=Worksheet, *TE=Teacher Edition, *Act.=Activity, *Game=Game, *Web Game=On line game for student 8/11/2010 Page 10 of 10
Quarter 1
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