Upload File

standards: 7.rp.1, 7.ns.2d, 7.ns.3, 7.ee.4a, 7.g.1 resource: connected math program 2 comparing and...

  • Home
  • Documents
  • Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1
20
Focus 1: Proportional Reasoning Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Upload: harriet-newton

Post on 16-Dec-2015

213 views

Category:

Documents


0 download

Report

TRANSCRIPT

Page 1: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Focus 1: Proportional Reasoning

Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1

Resource: Connected Math Program 2Comparing and Scaling: Investigation 3.1

Page 2: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Comparing and ScalingRatio, Proportion, and Percent

Investigation #3- CMP2

Page 3: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Mathematical & Problem-SolvingLearning Goals for Comparing & Scaling Rates

Examine & Connect the idea of unit rate to what you already know about ratios and about linear relationships (3.1)

Further develop understanding of unit rates and how to compute and interpret them

Work with the important application of rates to miles per hour (speed)

Introduce the concept of “average” or “steady” rate of progressIntroduce and formalize the meaning of unit rate and

computation strategies for computing unit ratesRelate unit rate to the slope of the line representing the

equation of the underlying relationshipConfront the issue of what it means to divide in rate situations

Page 4: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Investigation 3.1Learning TargetExamine and connect the idea of unit rates to what students already know about ratios and about linear relationships

Page 5: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Investigation #3.1Comparing and Scaling RatesThe following examples illustrate situations involving another strategy to compare numbers.My mom’s car gets 45 miles per gallon on the

expressway.We need two sandwiches for each person at the

picnic.I earn $3.50 per hour baby-sitting for my neighbor.The mystery meat label say 355 Calories per 6-

ounce serving.My brother’s top running rate is 8.4 kilometers per

hour.

Page 6: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Getting Ready for Problem 3.1What two quantities are being compared in the rate

statements?

Which of the rate statements is different from the others?

In which of the situations is a quantity being compared to one unit of another?

These are examples of rates that are called unit rates. A unit rate tells us how many per unit. Miles per hour tells how many miles are matched with 1 hour of travel and so on.

Page 7: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

What are some other rates that you have encountered?

Does the statement “440 miles traveled on 20 gallons of gas” represent a unit rate?

Can you find a related unit rate?

How did you find that?

Did anyone have a different way to think about this?

Now let’s use this kind of thinking to help solve the challenge of buying calculators.

Page 8: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1
Page 9: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Vocabulary Term- RATEEach of these statements compares two

different quantities.

A comparison of two quantities measured in DIFFERENT UNITS is a

RATE.

For example, one compares miles to gallons of gas.

Page 10: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

3.1 Technology on SaleStores, catalogs, and Web sites often use rates in their ads. The ads sometimes give the cost for several items. You might see an offer like the one shown at the right.The listed prices are for orders of 10, 15, or 20 calculators. But it’s possible to figure the price for any number you want to purchase. One way to figure those prices is to build a rate table.

Calculators for School

Fraction: $120 for 20

Scientific:

$240 for 15

Graphing:

$800 for 10

Page 11: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Problem 3.1Making and Using a Rate TableSuppose you take orders over the phone for the calculator company. You should be quick with price quotes for orders of different sizes.

A. Build a rate table like the one below. Fill in prices for each type of calculator for orders of

the sizes shown. Price of Calculators for School

Number Purchased 1 2 3 4 5 10 15 20

Fraction Price

$ 120

Scientific Price

$ 240

Graphing Price

$ 800

Page 12: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Use your rate table to answer questions in your Math Workbook

B. How much does it cost to buy 53 fraction calculators? How much to buy 27 scientific calculators? How much to buy 9 graphing calculators?

C. How many fraction calculators can a school buy it if can spend $390? What if the school can spend only $84?

Page 13: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1
Page 14: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

D. How many graphing calculators can a school buy if it can spend $2,500? What if the school can spend only $560?

E. What arithmetic operation (+, -, x, /) do you use to find the cost per calculator? UNIT RATE!!

F. Write an equation for each kind of calculator to show how to find the price for any number ordered.

Page 15: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1
Page 16: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Explore 3.1Have you thought about?Can you find out what a single calculator will

cost? If so, how?How can you use your answer to help fill in

the rate table?Do you see any patterns in your rate table?

How would you describe them?Does the unit rate help you to write a rule

that will predict the number of miles m for any number of gallows of gas g? If so, how?

(m= unit rate X g)

Page 17: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Class Discussion & Sharing• What patterns do you see in the tables?• What would be the shape of the graphs of the

data in these tables?• How would the graphs be alike and different?

Page 18: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1
Page 19: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

Pre-Algebra Homework

A.C.EApplications, Connections, & Extensions

#1, 2, 13-16Copy your answers in your math workbook

Page 20: Standards: 7.RP.1, 7.NS.2d, 7.NS.3, 7.EE.4a, 7.G.1 Resource: Connected Math Program 2 Comparing and Scaling: Investigation 3.1

NS Times Volume 2 Issue 7

BRAKE SHOE IDENTIFIER - Stemco · ns-4591sf 7 1/2" 4591 shoe# width lining ns-1308e 4" 1308tt shoe# width lining ns-4708q 7" 4708 shoe# width lining ns-4515f5 7" 4515e/g std. mount

Physics 4A Chapter 7: Newton’s Third Law

KESSEL Grease separator ‘SE’ M NS 2, NS 4, NS 7, NS 10, 15 ... · INSTALLATION, OPERATING AND MAINTENANCE INSTRUTIONS KESSEL Grease separator ‘SE’ M NS 2, NS 4, NS 7, NS 10,

4A 7-2 slides: Intro to Symmetry

NS 7 - Evening Programme

a Single Supply Comparator Ultrafast 7 ns AD8561€¦ · a AD8561 Ultrafast 7 ns Single Supply Comparator FEATURES PIN CONFIGURATIONS 7 ns Propagation Delay at 5 V Single Supply Operation:

Estación Experimental Agropecuaria General Villegasaapresid.org.ar/wp-content/uploads/sites/7/2013/03/upa-vm.cristian... · SD LC pmp ns ns ns ns ns 0 100 200 300 400 500 600 0 20

NS-06-7 Particularitati Ale Metabolism Cerebral

7 Grade Accelerated Mathematics Curriculum · 2020. 5. 15. · 0.5 block 7.NS.2b 2.2 Dividing Integers 0.5 block 7.NS.2b 7.NS.3 7.NS.2d 2.3 Converting Between Fractions and Decimals

Tie Rod Case Study 4A-1. 4A-2 4A-3 4A-4 4A-5 4A-6

Grade 7: Module 4A: Unit 1: Lesson 1 Introducing Module 4A ... · PDF fileGRADE 7: MODULE 4A: UNIT 1: LESSON 1 Introducing Module 4A: This Is Your Brain—Plugged In . Long-Term Targets

Accelerated 7th Grade BPS Suggested Planning Guide BPS ...€¦ · Lesson 1.4: Applying Addition and Subtraction of Integers 7.NS.1, 7.NS.1d, 7.NS.3, 7.EE.3 Montana Seventh Grade

unit 4A day 7.gwb - 1/14 - Wed Jan 11 2017 10:36:10 · PDF fileunit 4A day 7.gwb - 4/14 - Wed Jan 11 2017 10:41:26. unit 4A day 7.gwb - 5/14 - Wed Jan 11 2017 10:45:01. unit 4A day

(4A) (4A) (4A) ;(4A) (4A)

7 Parting Line Tolerances S-4A-2-15 Standard 4A-9 P-4A-2 ...4A-4 NADCA Product Specification Standards for Die Castings / 2015 Engineering & Design: Coordinate Dimensioning Fig. 4A-15

Number Property Matching Game Also used as Interactive Math Journal 7 th Grade CCSS 7.NS.1, 7.NS.2

Comparing & Ordering Rational Numbers MCC6.NS.7.a MCC6.NS.7.b MCC6.NS.7.d

G8SJ = SJ 1 87S7N ;ìô a 1 =7 NS · gn;=8 ;];sa= ììs";];ìís";8=` 7 j; #g8sj = " sj 1 87s7n;í ë;ìô a 1 =7 ;ns ; ìë ëë;s=;ìí îë; w#1 ;ns ; nsj s g;ns ns jsn; s; #8s

CORE S C R C O 09 Deactivate the Rootkit · 00000030 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a 4a |JJJJJJJJJJJJJJJJ| 00000040 4a 4a 4a 4a 4a 4a af b4 35 ae b3 b5 b5 b5 b5 b5 |JJJJJJ..5.....|

Session 7. LTE in ns-3

Nuremberg // germaNycorussoft.navigator.content.s3.amazonaws.com/ecs/pdf/Exhibitors... · Alroko GmbH & Co KG Hamburg, Germany 7 - 7-128 ALTANA AG Wesel, Germany 4A - 4A-330 Altropol

NS Times Volume 3 Issue 7

FOCUS 4 PRE-ALGEBRA RATIONAL NUMBER OPERATIONS ADDITION & SUBTRACTION 7.NS.1.A-D, 7.NS.3, 7.EE3

4a. EDU Lesson 7 Fundamentals of Multi-Org

Crawford Station Former MGP Remedial Investigation ...NS NS NS NVT NS NS NS NS NS NS NS NS NS 20 NS NS NS NS. 020414021 MWA101 02/04/2014 0.72 0.91 0.45 0.39 0.054 J < 0.053 U < 0.038

KESSEL Grease separator ‘SE’ M NS 2, NS 4, NS 7, NS 10, 15 ... · NS 2, NS 4, NS 7, NS 10, 15 and 20 with manual waste disposal device Edition 2015/04 Name / Signature Date Place

Ns 5 lectures 7 and 8 2010

7.NS.1 Misconceptions & Considerations

TIME PERIOD UNIT STANDARDS AND STUDENT NJSLS …...Mar 07, 2020  · 7.NS.1 7.NS.2 7.NS.3 7.EE.1 7.EE.2 NS.A. The Number System Apply and extend previous understandings of operations

7-4A Partial Fraction Decomposition

Unit 1 – Rational Explorations: Numbers and their Opposites MCC6.NS.5 MCC6.NS.6 MCC6.NS.7 MCC6.NS.8

NS-P230/ NS-P236 - Yamaha Corporation · 2019. 7. 10. · NS-P230/ NS-P236 (NS-P230/NS-P236: NX-230P + NX-C230 + YST-SW005) HOME CINEMA 5.1CH SPEAKER PACKAGE/ HOME CINEMA 6.1CH SPEAKER

MAX17600–MAX17605 - 4A Sink/Source Current, …...Turn-On Delay Time tD-ON CL = 1nF 12 ns Turn-Off Delay Time tD-OFF CL = 1nF 12 ns SWITCHING CHARACTERISTICS (VDD = 4.5V) (Note 2)

J `#NS #NN8 8¯Ó ©{¼ 7 7=J#N =8 J N= #8S J8 #=81 #8` NS