{"id":73257,"date":"2022-06-15T19:59:34","date_gmt":"2022-06-15T14:29:34","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=73257"},"modified":"2022-05-10T12:59:15","modified_gmt":"2022-05-10T07:29:15","slug":"eureka-math-grade-7-module-2-lesson-1","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-7-module-2-lesson-1\/","title":{"rendered":"Eureka Math Grade 7 Module 2 Lesson 1 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 7th Grade Module 2 Lesson 1 Answer Key<\/h2>\n

Eureka Math Grade 7 Module 2 Lesson 1 Example Answer Key<\/h3>\n

Example 2.
\nCounting Up and Counting Down on the Number Line
\nUse the number line below to practice counting up and counting down.
\n\u2192 Counting up starting at 0 corresponds to positive ___ numbers.
\nAnswer:
\npositive<\/p>\n

\u2192 Counting down starting at 0 corresponds to ___ numbers.
\nnegative
\n\"Engage
\nAnswer:
\n\"Eureka
\na. Where do you begin when locating a number on the number line?
\nAnswer:
\nStart at 0.<\/p>\n

b. What do you call the distance between a number and 0 on a number line?
\nAnswer:
\nThe absolute value<\/p>\n

c. What is the relationship between 7 and -7?
\nAnswer:
\nAnswers will vary. 7 and -7 both have the same absolute values. They are both the same distance from zero, 0, but in opposite directions; therefore, 7 and -7 are opposites.<\/p>\n

Example 3:
\nUsing the Integer Game and the Number Line
\nWhat is the sum of the card values shown? Use the counting on method on the provided number line to justify your answer.
\n\"Engage<\/p>\n

a. What is the final position on the number line? ___
\nAnswer:
\n4<\/p>\n

b. What card or combination of cards would you need to get back to 0? ___
\nAnswer:
\n-4 or -1 and -3<\/p>\n

Eureka Math Grade 7 Module 2 Lesson 1 Exercise Answer Key<\/h3>\n

Exercise 1.
\nPositive and Negative Numbers Review
\nWith your partner, use the graphic organizer below to record what you know about positive and negative numbers. Add or remove statements during the whole-class discussion.
\n\"Eureka<\/p>\n

Exercise 2.
\nThe Additive Inverse
\nUse the number line to answer each of the following questions.
\n\"Engage
\na. How far is 7 from 0 and in which direction? ___
\nAnswer:
\n7 units to the right<\/p>\n

b. What is the opposite of 7? -7
\nAnswer:
\n-7<\/p>\n

c. How far is -7 from 0 and in which direction?
\nAnswer:
\n7 units to the left<\/p>\n

d. Thinking back to our previous work, explain how you would use the counting on method to represent the following: While playing the Integer Game, the first card selected is 7, and the second card selected is -7.
\nAnswer:
\nI would start at 0 and count up 7 by moving to the right. Then, I would start counting back down from 7 to 0.<\/p>\n

e. What does this tell us about the sum of 7 and its opposite, -7?
\nAnswer:
\nThe sum of 7 and -7 equals 0.
\n7 + (-7) = 0<\/p>\n

f. Look at the curved arrows you drew for 7 and -7. What relationship exists between these two arrows that would support your claim about the sum of 7 and -7?
\nAnswer:
\nThe arrows are both the same distance from 0. They are just pointing in opposite directions.<\/p>\n

g. Do you think this will hold true for the sum of any number and its opposite? Why?
\nAnswer:
\nI think this will be true for the sum of any number and its opposite because when you start at 0 on the number line and move in one direction, moving in the opposite direction the same number of times will always take you back to zero.<\/p>\n

Eureka Math Grade 7 Module 2 Lesson 1 Exit Ticket Answer Key<\/h3>\n

Question 1.
\nYour hand starts with the 7 card. Find three different pairs that would complete your hand and result in a value of zero.
\n\"Eureka
\nAnswer:
\nAnswers will vary. (-3 and -4), (-5 and -2), (-10 and 3)<\/p>\n

Question 2.
\nWrite an equation to model the sum of the situation below.
\nA hydrogen atom has a zero charge because it has one negatively charged electron and one positively charged proton.
\nAnswer:
\n(-1) + 1 = 0 or 1 + (-1) = 0<\/p>\n

Question 3.
\nWrite an equation for each diagram below. How are these equations alike? How are they different? What is it about the diagrams that lead to these similarities and differences?
\nDiagram A:
\n\"Eureka
\nDiagram B:
\n\"Eureka
\nAnswer:
\nA: 4 + (-4)=0
\nB: -4 + 4 = 0
\nAnswers will vary. Both equations are adding 4 and -4. The order of the numbers is different. The direction of A shows counting up 4 and then counting down 4. The direction of B shows counting down 4 and then counting up 4.
\nStudents may also mention that both diagrams demonstrate a sum of zero, adding opposites, or adding additive inverses.<\/p>\n

Eureka Math Grade 7 Module 2 Lesson 1 Problem Set Answer Key<\/h3>\n

The Problem Set provides practice with real-world situations involving the additive inverse such as temperature and money. Students also explore more scenarios from the Integer Game to provide a solid foundation for Lesson 2.<\/p>\n

For Problems 1 and 2, refer to the Integer Game.<\/p>\n

Question 1.
\nYou have two cards with a sum of (-12) in your hand.
\na. What two cards could you have?
\nAnswer:
\nAnswers will vary. (-6 and -6)<\/p>\n

b. You add two more cards to your hand, but the total sum of the cards remains the same, (-12). Give some different examples of two cards you could choose.
\nAnswer:
\nAnswers will vary, but numbers must be opposites. (-2 and 2) and (4 and -4)<\/p>\n

Question 2.
\nChoose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.
\na. Elevation: above and below sea level
\nAnswer:
\nAnswers will vary. (A scuba diver is 20 feet below sea level. He had to rise 20 feet in order to get back on the boat.)<\/p>\n

b. Money: credits and debits, deposits and withdrawals
\nAnswer:
\nAnswers will vary. (The bank charges a fee of $5 for replacing a lost debit card. If you make a deposit of $5, what would be the sum of the fee and the deposit?)<\/p>\n

c. Temperature: above and below 0 degrees
\nAnswer:
\nAnswers will vary. (The temperature of one room is 5 degrees above 0. The temperature of another room is 5 degrees below zero. What is the sum of both temperatures?)<\/p>\n

d. Football: loss and gain of yards
\nAnswer:
\nAnswers will vary. (A football player gained 25 yards on the first play. On the second play, he lost 25 yards. What is his net yardage after both plays?)<\/p>\n

Question 3.
\nOn the number line below, the numbers h and k are the same distance from 0. Write an equation to express the value of h + k. Explain.
\n\"Eureka
\nAnswer:
\nh + k = 0 because their absolute values are equal, but their directions are opposite. k is the additive inverse of h, and h is the additive inverse of k because they are the same distance from 0. Therefore, the sum of k and h is 0, because additive inverses have a sum of 0.<\/p>\n

Question 4.
\nDuring a football game, Kevin gained five yards on the first play. Then he lost seven yards on the second play. How many yards does Kevin need on the next play to get the team back to where they were when they started? Show your work.
\nAnswer:
\nHe has to gain 2 yards.
\n5 + (-7) + 2 = 0, 5 + (-7) = -2, and -2 + 2 = 0.<\/p>\n

QueWrite 5.
\nWrite an addition number sentence that corresponds to the arrows below.
\n\"Eureka
\nAnswer:
\n10 + (-5) + (-5) = 0<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 7th Grade Module 2 Lesson 1 Answer Key Eureka Math Grade 7 Module 2 Lesson 1 Example Answer Key Example 2. Counting Up and Counting Down on the Number Line Use the number line below to practice counting up and counting down. \u2192 Counting up starting at 0 corresponds to positive … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/73257"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=73257"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/73257\/revisions"}],"predecessor-version":[{"id":137889,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/73257\/revisions\/137889"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=73257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=73257"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=73257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}