review test 1

Review Test 1Review Test 1

Properties of Rational and Properties of Rational and Irrational NumbersIrrational Numbers

DivisibilityDivisibility

First 8 Prime NumbersFirst 8 Prime Numbers Prime/Composite?Prime/Composite? Divisibility RulesDivisibility Rules FactorFactor MultipleMultiple

Divisibility Divisibility

There are 6,550 voters in Scott There are 6,550 voters in Scott County. Each district in the county County. Each district in the county has the exact same number of has the exact same number of voters. How many districts could voters. How many districts could there be in the county?there be in the county?

44 55 66 99


Saranya is arranging dolls on shelves Saranya is arranging dolls on shelves at a toy store. She has 80 dolls to at a toy store. She has 80 dolls to arrange. She needs to put the same arrange. She needs to put the same number of dolls on each shelf, and number of dolls on each shelf, and she needs to use all of the dolls. How she needs to use all of the dolls. How many shelves could Saranya use for many shelves could Saranya use for the dolls?the dolls?

99 1010 33 66


At the company picnic, 945 At the company picnic, 945 employees will participate in a relay employees will participate in a relay race. Each team must be the same race. Each team must be the same size. How many teams could the size. How many teams could the company form for the relay race?company form for the relay race?

1010 22 99 66


Kunta needs to set up 855 chairs for Kunta needs to set up 855 chairs for a concert. He wants to put the same a concert. He wants to put the same number of chairs in each row with no number of chairs in each row with no chairs left over. How many chairs chairs left over. How many chairs could Kunta put in each row?could Kunta put in each row?

99 44 22 1010


There are 5,508 paper clips in the There are 5,508 paper clips in the boxes in the supply cabinet. If each boxes in the supply cabinet. If each box contains the same number of box contains the same number of paper clips, how many boxes could paper clips, how many boxes could there be?there be?

55 1010 44

GCF and LCMGCF and LCM

Find the GCF and LCM of a set of Find the GCF and LCM of a set of datadata

GCF or LCMGCF or LCM

Joe goes to the grocery store every 6 Joe goes to the grocery store every 6 days and visits the gym every 10 days and visits the gym every 10 days. If he did both errands today, days. If he did both errands today, how many days will pass before he how many days will pass before he does both on the same day again?does both on the same day again?


A club has 12 girls and 9 boys as A club has 12 girls and 9 boys as members. The president wants to members. The president wants to break the club into groups, with each break the club into groups, with each group containing the same group containing the same combination of girls and boys. The combination of girls and boys. The president also wants to make sure president also wants to make sure that no one is left out. What is the that no one is left out. What is the greatest number of groups the greatest number of groups the president can make?president can make?


The Newman Corporation would like The Newman Corporation would like to donate 12 computers and 18 to donate 12 computers and 18 printers to local schools. The printers to local schools. The corporation would like to make sure corporation would like to make sure that each school receives the same that each school receives the same set of computers and printers, with set of computers and printers, with none left over. What is the greatest none left over. What is the greatest number of schools that The Newman number of schools that The Newman Corporation can donate to?Corporation can donate to?


Amy's Bath Shop sells bars of soap in Amy's Bath Shop sells bars of soap in boxes of 9 bars and bottles of soap in boxes of 9 bars and bottles of soap in boxes of 7 bottles. An employee is boxes of 7 bottles. An employee is surprised to discover that the shop surprised to discover that the shop sold the same number of bars and sold the same number of bars and bottles last week. What is the bottles last week. What is the smallest number of each type of smallest number of each type of soap that the shop could have sold?soap that the shop could have sold?


Melody has two pieces of wire, one Melody has two pieces of wire, one 14 feet long and the other 4 feet 14 feet long and the other 4 feet long. If she wants to cut them up to long. If she wants to cut them up to produce many pieces of wire that are produce many pieces of wire that are all of the same length, with no wire all of the same length, with no wire left over, what is the greatest length, left over, what is the greatest length, in feet, that she can make them?in feet, that she can make them?


Marvin's Apparel sells undershirts in Marvin's Apparel sells undershirts in packs of 11. The store's competitor, packs of 11. The store's competitor, Amy's Basics, sells undershirts in Amy's Basics, sells undershirts in packs of 2. If both stores sold the packs of 2. If both stores sold the same number of undershirts same number of undershirts yesterday, what is the smallest yesterday, what is the smallest number of undershirts each could number of undershirts each could have sold?have sold?


Irene and her friends made dinner Irene and her friends made dinner reservations at two local restaurants reservations at two local restaurants on two different days. While the first on two different days. While the first restaurant sat all the friends in restaurant sat all the friends in groups of 11, the second restaurant groups of 11, the second restaurant sat all the friends in groups of 9. sat all the friends in groups of 9. What is the smallest number of What is the smallest number of people that could be in the group?people that could be in the group?

Coordinate PlaneCoordinate Plane

Identify VocabularyIdentify Vocabulary Plot PointsPlot Points Identify QuadrantsIdentify Quadrants

Coordinate PlaneCoordinate Plane

IntegersIntegers

Add, Subtract, Multiply, Divide Add, Subtract, Multiply, Divide REMEMBER RULES!!!!!!!!!REMEMBER RULES!!!!!!!!! Adding-Adding-

Subtracting-Subtracting-

Multiplying/Dividing-Multiplying/Dividing-

IntegersIntegers

Mt. Everest, the highest Mt. Everest, the highest elevation in Asia, is 29,028 feet elevation in Asia, is 29,028 feet above sea level. The Dead Sea, above sea level. The Dead Sea, the lowest elevation, is 1,312 the lowest elevation, is 1,312 feet below sea level. What is the feet below sea level. What is the difference between these two difference between these two elevations?elevations?

IntegersIntegers

In Buffalo, New York, the In Buffalo, New York, the temperature was -14°F in the temperature was -14°F in the morning. If the temperature morning. If the temperature dropped 7°F, what is the dropped 7°F, what is the temperature now?temperature now?

IntegersIntegers

A submarine was situated 800 A submarine was situated 800 feet below sea level. If it ascends feet below sea level. If it ascends 250 feet, what is its new 250 feet, what is its new position?position?

IntegersIntegers

Maggie owes the candy store Maggie owes the candy store $35. Each of 5 friends will help $35. Each of 5 friends will help her pay off her debt. How much her pay off her debt. How much will each friend pay?will each friend pay?

IntegersIntegers

Lilly bought 4 pairs of blue jeans Lilly bought 4 pairs of blue jeans at $32 each. How much money at $32 each. How much money did she pay the clerk?did she pay the clerk?

IntegersIntegers

Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last?

IntegersIntegers

In the Sahara Desert one day it In the Sahara Desert one day it was 136°F. In the Gobi Desert a was 136°F. In the Gobi Desert a temperature of -50°F was temperature of -50°F was recorded. What is the difference recorded. What is the difference between these two between these two temperatures?temperatures?

IntegersIntegers

Metal mercury at room Metal mercury at room temperature is a liquid. Its temperature is a liquid. Its melting point is -39°C. The melting point is -39°C. The freezing point of alcohol is -freezing point of alcohol is -114°C. How much warmer is the 114°C. How much warmer is the melting point of mercury than melting point of mercury than the freezing point of alcohol?the freezing point of alcohol?

What is claim, data, warrant?What is claim, data, warrant?

Claim, data, warrant (CDW) is a Claim, data, warrant (CDW) is a formal and analytical writing style.formal and analytical writing style.

CDW helps you prove your thoughts CDW helps you prove your thoughts using evidence. using evidence.

It can be used for answering open It can be used for answering open response questions, discussion response questions, discussion questions, or writing essays. questions, or writing essays.

You can use it in any class. You can use it in any class.

ClaimClaim

What you are claiming is trueWhat you are claiming is true Your opinion about the subjectYour opinion about the subject Your answer to the questionYour answer to the question Often the topic sentence of a Often the topic sentence of a

paragraphparagraph Very much like a hypothesisVery much like a hypothesis

DataData

The evidence or the facts you use to The evidence or the facts you use to support your claimsupport your claim

Examples to support your claimExamples to support your claim Quotes from the text to support the claimQuotes from the text to support the claim References to the text supporting your References to the text supporting your

claimclaim Statistics supporting the claimStatistics supporting the claim Content specific vocabulary that supports Content specific vocabulary that supports

the claimthe claim

WarrantWarrant

The explanation of how the data The explanation of how the data supports your claimsupports your claim

Explains how the example, statistic, Explains how the example, statistic, quote or reference supports the quote or reference supports the claimclaim

Explains the significance of the dataExplains the significance of the data Usually three to five sentences long Usually three to five sentences long

Easy ExampleEasy Example Claim: BCMS has an excellent after-Claim: BCMS has an excellent after-

school program.school program. Data: We offer archery, art, and cooking Data: We offer archery, art, and cooking

classes along with tutoring in all core classes along with tutoring in all core subject areas. subject areas.

Warrant: Archery helps students develop Warrant: Archery helps students develop strength, focus, and confidence. Art strength, focus, and confidence. Art allows students to tap into their allows students to tap into their creativity, and cooking teaches students creativity, and cooking teaches students to be self-sufficient. Tutoring classes to be self-sufficient. Tutoring classes reinforce students’ academic skills. reinforce students’ academic skills.

Color-coding your answersColor-coding your answers

Claim is highlighted in pink.Claim is highlighted in pink. Data is highlighted in green.Data is highlighted in green. Warrant is highlighted in Warrant is highlighted in

yellow.yellow.

Example Example

BCMS has an excellent after-BCMS has an excellent after-school program.school program. We offer archery, art, We offer archery, art, and cooking classes along with tutoring and cooking classes along with tutoring in all core subject areas.in all core subject areas. Archery helps Archery helps students develop strength, focus, and students develop strength, focus, and confidence. Art allows students to tap confidence. Art allows students to tap into their creativity, and cooking into their creativity, and cooking teaches students to be self-sufficient. teaches students to be self-sufficient. Tutoring classes reinforce students’ Tutoring classes reinforce students’ academic skills. academic skills.

Things to remember:Things to remember:

The order of claim, data, warrant The order of claim, data, warrant may not be the same for every may not be the same for every open response. open response.

Sometimes you may give the data Sometimes you may give the data first and then write the claim and first and then write the claim and warrant.warrant.

Occasionally open responses may Occasionally open responses may only require you to include data only require you to include data and warrant in your response. and warrant in your response.

Math ExampleMath Example

Samantha made the following scores on Samantha made the following scores on unit tests for the term: 92, 98, 15, 92, 87, unit tests for the term: 92, 98, 15, 92, 87, 92. Samantha’s teacher said her grade 92. Samantha’s teacher said her grade would be based on the mean of her grades. would be based on the mean of her grades. Samantha argued that her grade should be Samantha argued that her grade should be based on the median score of her grades. based on the median score of her grades.

A. Find the mean and median of A. Find the mean and median of Samantha’s grades.Samantha’s grades.

B. Which do you think best reflects B. Which do you think best reflects Samantha’s work for the term? Explain Samantha’s work for the term? Explain your answer. your answer.

Part A of this response includes both claim Part A of this response includes both claim and data. Your answer is your and data. Your answer is your claimclaim because it is what you are because it is what you are asserting to be asserting to be truetrue. The work is the . The work is the datadata or or evidenceevidence you you are using to support your claim. are using to support your claim.

A. The mean of A. The mean of Samantha’s grades Samantha’s grades is about 79.3is about 79.3

The median of The median of Samantha’s grades Samantha’s grades is about 92. is about 92.

92 98 15 Mean 92 87+ 92 476

Median98 92 92 92 87 15

B. I think the median best reflects B. I think the median best reflects Samantha’s work. This is because except Samantha’s work. This is because except for two low grades none of her grades was for two low grades none of her grades was below 92. The 87, which is really fairly below 92. The 87, which is really fairly high, and the 15 bring the total score high, and the 15 bring the total score down considerably, and although these down considerably, and although these grades are important, they don’t fairly grades are important, they don’t fairly represent Samantha’s work considering represent Samantha’s work considering the damage they do to her scores. the damage they do to her scores.

Part B contains claim and warrant. This first Part B contains claim and warrant. This first sentence is your opinion about what is best. sentence is your opinion about what is best. Remember your Remember your opinion is a claimopinion is a claim, and the , and the remainder of the paragraph is your explanation of remainder of the paragraph is your explanation of why you think this is the best way to represent why you think this is the best way to represent Samantha’s work. Samantha’s work. Explanation is always Explanation is always warrant.warrant.

MedianMedian

98 92 92 92 87 15 98 92 92 92 87 15

A. The mean of A. The mean of Samantha’s Samantha’s grades is about grades is about 79.379.3

The median of The median of Samantha’s Samantha’s grades is about grades is about 92. 92.

92 98 15 Mean 92 87+92 476

B. I think the median best reflects Samantha’s work. This is because except for two low grades none of her grades was below 92. The 87, which is really fairly high, and the 15 bring the total score down considerably, and although these grades are important, they don’t fairly represent Samantha’s work considering the damage they do to her scores.