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From: Claudia PruittTo: "Claudia Pruitt"Cc: [email protected]; "Heather Potter"; "Clater Dorothy"; "Ghiotto Richard"Subject: Week 23 Pre-Algebra with Ms. Pruitt, Room B16 at Millennial Tech Middle SchoolDate: Sunday, February 03, 2013 4:27:24 PMAttachments: Week 23 Assignments.pdf
Homework 6 -Section 4.6).pdfHomework 7 GPS 4.6.pdfUnit 7 Graphic Organizer.pdfUnit 7 Pacing Guide.pdf
Dear MTM Parents, As we start week twenty-three at Millennial Tech Middle School I want to inform you about a fewimportant dates and events for Pre-Algebra students: Monday 2/4/13: Unit 6 ReviewIn-class activity: Comprehensive unit review.Homework: Study for Unit 6 Test. Tuesday 2/5/13: Unit 6 TestIn-class activity: Unit 6 TestWeek #23 Online AssignmentComplete Levels 43-45 of Learning Upgrade by Friday 2/8 with Gold and thorough notes. Wednesday 2/6/13 (Minimum Day):Introduction to Unit 7 “Operations with Fractions”In-class activity: Unit 7 Graphic Organizer and Anticipation GuideHomework: Finish Graphic organizer. Thursday 2/7/13:Section 4.6 Rational NumbersIn-class activity: Section 4.6 Guided NotesHomework #6: Workbook (soft cover) Section 4.6 Practice Pg 293 #1-14 (all). Friday 2/8/13:Unit 6 Test Results and Section 4.6 Rational NumbersIn-class activity: Homework self-grading and student progress report.Homework #7: Workbook (soft cover) Section 4.6 GPS Pg 294 (all) Miscellaneous:-Tutoring: During week #23 I will be tutoring after school on Tuesday and Thursday from 4:15 pmuntil 5:15 pm. -Unit 6 Test : On Tuesday students will be tested on Unit 6, Data Analysis. I will give acomprehensive review on Monday. -New Unit of Study: This week we will begin with a Unit 7 Operation with Fractions. Unit 7 covers the following five sections from the textbook:
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Week #23 Pre-Algebra with Ms. Pruitt, Room B16 at Millennial Tech Middle School
Date Topic In-Class Work Home Work Assignments
Monday
2/4/13
Unit 6 Review Reviewing for Unit 6 Test
Study for Unit 6 Test.
Tuesday 2/5/13
Unit 6 Test Testing Week #23 Online Assignment: Complete Levels 43-45 of Learning Upgrade by Friday 2/8 with Gold and take thorough notes. Alternative assignment will be given to students who are caught up with LU.
Wednesday 2/6/13
Introduction to
Unit 7 “Operations
with Fractions”
Unit 7 Graphic
Organizer and
Anticipation
Guide
Finish Unit 7 Graphic Organizer.
Thursday
2/7/13
Section 4.6
Rational Numbers
Section 4.6
Guided Notes
Homework #6:
Workbook (soft cover) Section 4.6 Practice Pg
293 #1-14 (all).
Friday 2/8/13
Unit 6 Test Results
and Finish Section
4.6 Rational
Numbers
Homework
grading and
cumulative
grading
review.
Homework #7:
Workbook (soft cover) Section 4.6 GPS Pg 294
(all)
http://mspruitt.weebly.com/uploads/7/8/5/4/7854121/unit_7_graphic_organizer.pdf
http://mspruitt.weebly.com/uploads/7/8/5/4/7854121/unit_7_graphic_organizer.pdf
http://mspruitt.weebly.com/uploads/7/8/5/4/7854121/homework_6_-section_4.6.pdf
http://mspruitt.weebly.com/uploads/7/8/5/4/7854121/homework_7_gps_4.6.pdf
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Name ______________________________________ Class ______________________ Date ________________
Practice 4-6 Rational Numbers
293Practice Pre-Algebra Lesson 4-6
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Use the number line below to order the set of rational numbers fromleast to greatest.
1. , , �0.5,
Evaluate. Write in simplest form.
2. , for , 3. , for ,
4. , for 5. , for x � �2,
6. , for , 7. , for ,
Write three fractions equivalent to each fraction.Sample answers are shown:
8. 9.
10. 11.
12. Which of the following rational numbers are equal to ?
�17, �1.7, ,
13. Which of the following rational numbers are equal to ?
, , ,
14. Which of the following rational numbers are equal to ?
, , ,
15. The weight w of an object in pounds is related to its distance d from the center of Earth by the equation , where d is in thousands of
miles. How much does the object weigh at sea level, which is about 4,000
miles from the center of Earth?20 lb
w 5 320d2
8102
810
4050
45
1215
6100.3
2325
1220
35
0.1723420
21710
616
2430
2233
57
y 5 9x 5 3x(xy 2 8)
60n 5 7m 5 6m2n
y 5 5x 2 y221k 5 6
kk2 1 4
p 5 6n 5 9nn 1 py 5 21x 5 12xy
0 1.0�1.0 �0.5
�0.5 �
0.5
0.314
34
0.321434
47
320
267
35
13
1920
2527,
1014,
210214
45, 2425,
224230
23, 2223,
46
45,
4050,
810
1220,
2325,
610
21.7, 23420
38, 2328,
26216
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4-6 • Guided Problem Solving
Exercise 35
The formula gives the strength s of a radio signal at
a distance d miles from the transmitter. What is the strength at 5 mi? Write your answer in simplest form.
Understand the Problem
1. What does the variable s represent?
2. What does the variable d represent?
3. What does the formula give?
4. What are you asked to find?
Make and Carry Out a Plan
5. Substitute 5 for d in the formula.
6. Simplify the denominator of the fraction.
7. Write the fraction in simplest form.
8. What is the strength of the radio signal 5 mi from the transmitter?
Check the Answer
9. In simplifying the answer, why did you simplify the denominator first?
10. Substitute your answer for s in the formula and solve for d. What is the distance?
Solve Another Problem
11. The acceleration in meters per second per second (m/s2) of a
racing car at 100 meters after it starts moving is given by ,
where a is acceleration and t is time in seconds. What is the
acceleration of the car if it takes 4 seconds to travel 100 meters?
a 5 200t2
s 51,600
d2
Name Class Date
GPS
Pre-Algebra Lesson 4-6 Guided Problem Solving294
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0283_PA_AIOsw07_GPS04 1/8/07 5:16 PM Page 294 ppg ju106:PHHS001:6910a_quark%0:Ch04:
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Unit 7 Graphic Organizer
Write your answers. Use the class’ website and the Table of Contents page for Chapter 4 and
Chapter 5 at the front of the book to obtain the title of the unit, section numbers, section
names, learning objective (s), and skills/definitions covered in this unit.
Then answer the following questions:
1. What is the title of this Unit?
2. What are the section numbers and titles covered in this unit?
3. What is/are the learning objective(s) for each section?
4. What are the skills/definitions you will learn on each section?
5. Complete the graphic organizer by:
a. Writing the title of the unit in the center oval.
b. Writing the lesson (section) number and name in each of the bold framed rectangle.
c. Writing the learning objective(s) for each section in the outer doted oval linked to
that bold framed rectangle.
d. Writing the skills/definitions you will learn in the outermost rectangles linked to the
doted oval.
6. Continue with steps b, c, and d clockwise around the graphic organizer.
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Unit 7 Graphic Organizer
Start here →
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UNIT 7 OPERATIONS WITH FRACTIONS California 7th Grade Math Standards
Number Sense Standard Set 1.0: Students know the properties of, and compute
with, rational numbers expressed in a variety of forms:
7NS1.2* Add, subtract, multiply, and divide rational numbers (integers, fractions, and
terminating decimals) and take positive rational numbers to whole-number powers.
7NS1.3 Convert fractions to decimals and percents and use these representations in
estimations, computations, and applications.
7NS1.5* Know that every rational number is either a terminating or repeating decimal
and be able to convert terminating decimals into reduced fractions.
Number Sense Standard Set 2.0: Students use exponents, powers, and roots and use
exponents in working with fractions:
7NS2.2* Add and subtract fractions by using factoring to find common denominators.
Algebra and Functions: Standard Set 1.0: Students express quantitative
relationships by using algebraic terminology, expressions, equations, inequalities,
and graphs:
7AF1.3* Simplify numerical expressions by applying properties of rational numbers
(e.g., identity, inverse, distributive, associative, commutative) and justify the process
used.
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UNIT 7 OPERATIONS WITH FRACTIONS Pacing Guide
Textbook Section 4.6: Rational Numbers: (2/7-2/8)
Learning Objective: Identifying and graphing rational numbers
-Writing equivalent fractions.
-Comparing and ordering rational numbers
Textbook Section 5.1 Comparing and Ordering Fractions (2/11-2/12)
Learning Objective: Finding the Least Common Multiple
-Finding the LCM
-Using prime factorization
-Finding the LCM of variable expressions
Learning Objective: Comparing fractions
-Using a number line
-Using the LCD
-Ordering fractions
Textbook Section 5.2 Fractions and Decimals (2/14-2/15)
Learning Objective: Writing rational numbers as decimals
-Writing a terminating decimal
-Writing a repeating decimal
-Ordering fractions as decimals
Learning Objective: Writing decimals as fractions
-Writing a decimal as fraction
-Writing a repeating decimal as fractions
Textbook Section 5.3 Adding and Subtracting Fractions (2/19-2/20)
Learning Objective: adding and subtracting fractions
-Simplifying with like denominators
-Simplifying with unlike denominators
Learning Objective: Using factoring to find common denominators
-Using factoring
-Adding mixed numbers
Textbook Section 5.4 Multiplying and Dividing Fractions (2/21-2/22)
Learning Objective: Multiplying rational numbers
-Multiplying fractions
-Simplifying before multiplying
-Multiplying mixed numbers
Learning Objective: Dividing rational numbers
-Inverse Property of Multiplication
-Dividing fractions
Word Problems (2/25-2/26)
Unit 7 Review: (2/27-2/28)
Unit 7 Test: Friday 3/1
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UNIT 7 OPERATIONS WITH FRACTIONS CST Released Questions
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Section 4.6 Rational NumbersSection 5.1 Comparing and Ordering FractionsSection 5.2 Fractions and DecimalsSection 5.3 Adding and Subtracting FractionsSection 5.4 Multiplying and Dividing Fractions I uploaded the homework assignments and tutorial videos of section 4.6 that will be covered thisweek.Please visit the website at: http://mspruitt.weebly.com/week-23-feb-4---feb-8.html to see thepacing guide.I am attaching the pacing guide including learning objectives, California Math Standards covered,CST released questions for this unit, and review and test dates.I am also attaching the electronic files of homework 6 and 7 in case your child does not have theworkbook.Please encourage your child to constantly check the website and use the online tutorial resources. -Classroom supplies: Our classroom is in high need for the following school supplies: pencils, ruledpaper,composition notebooks, tissue paper, hand-sanitizer, AAA batteries (for calculators). If you haveany spare supplies at home
please consider donating them to our 7th pre-algebra class. I have many students who often cometo class without basic school suppliesand I am not financially able to buy supplies as often as I would like to. Anything that you candonate will be greatly appreciated. Kudos: -Period 3 students: Thank you for the excellent work you did on Friday during the SDUSDsuperintendent, principal and vice-principal visit to our classroom. You exceeded my expectations! -Students who consistently honor the MTM way. Thank you for representing the school and ourcommunity honorably!-Students who have improved turning in homework assignments on time. You are on your pathto success!-Students who take thorough Learning Upgrade Notes. Your note-taking skills are admirable!-Students who come to class on time: Thank you for setting the example among your peers!-Students who have improved behavior and class work: I am very proud of you!-Students who help others during class. Thank you for being role models! -Parents: Thank you for your support! Please contact me with any questions. Claudia A. Pruitt, M.Ed.
th
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7 Grade Pre-Algebra Teacher Room B16Millennial Tech Middle Schoolcell: (858) 314-8250email: [email protected] [email protected]: http://mspruitt.weebly.com/ Acquire knowledge patiently, teach others unceasingly. -Confucius-
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