Name _____________________________________________ Date __________________ PROBLEM WEIRD ROBOTS 5 If the pattern continues, . . . Robot 1 Robot 2 Robot 3 Robot 4 1. How many antennas will be on Robot 5? _____ Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 2. How many antennas will be on Robot 6? _____ 3. How many antennas will be on Robot 8? _____ 4. Which robot will have 30 antennas? __________ 50
Name _____________________________________________ Date __________________ PROBLEM WEIRD ROBOTS 6 If the pattern continues, . . . Robot 1 Robot 2 Robot 3 Robot 4 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. How many spots will be on Robot 5? _____ 2. How many spots will be on Robot 6? _____ 3. How many spots will be on Robot 7? _____ 4. Which robot will have 50 spots? __________ 51
Name _____________________________________________ Date __________________ PROBLEM WEIRD ROBOTS 7 If the pattern continues, . . . Robot 1 Robot 2 Robot 3 Robot 4 1. How many buttons will Robot 5 have? _____ Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 2. How many buttons will Robot 6 have? _____ 3. How many buttons will Robot 8 have? _____ 4. Which robot will have 21 buttons? __________ 52
ALGEB RA READINESS Face Value 2 Overview Clues are given in the form of two equations with two unknowns (faces). Children figure out the values of the unknowns. Algebra Solve for the values of two unknowns • Replace unknowns with their values Problem-Solving Strategies Reason deductively • Test values Related Math Skills Add with one- and two-digit numbers • Subtract with one- and two-digit numbers Math Language Equation • Same numbers • Stand for numbers Introducing the Problem Set Make photocopies of “Solve the Problem: Face Value” (page 55) and distribute to children. Have children work in pairs, encouraging them to discuss strategies they might use to solve the problem. You may want to walk around and listen in on some of their discussions. After a few minutes, display the problem on the board (or on the overhead if you made a transparency) and use the following questions to guide a whole-class discussion on how to solve the problem: • Look at Clue A. What do you see? (Two faces that are the same. Each face stands for the same number. The sum of the two numbers is 12.) • Look at Clue B. What do you see? (Two different faces. The two numbers the faces stand for add up to 15.) • Why did Ima start with Clue A? (Both faces are the same, so each face must stand for 6.) Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources 53
RA READI FACE VALUE 2ALGEBNESS • If the face with a beard stands for 6, how can Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources Name _____________________________________________ Date __________________ you figure out the number of the face without a beard? (In Equation B, replace the bearded face SOLVE FACE VALUE with 6. The face without a beard must then be 9. THE 6 + 9 = 15.) What are the numbers? PROBLEM • Look at question 4. How can you figure out the sum? (Replace each face with its number and and stand for numbers. then add: 6 + 6 + 9 = 21.) Faces that are the same stand for the same numbers. Use the clues. • How can you figure out the answer to question 5? (Replace each face card with its number; CLUES: + = 12 6 + 6 – 9 = 3.) A. Work together as a class to answer the questions B. + = 15 in “Solve the Problem: Face Value.” 1. = _____ I’ll use Clue A first. Math Chat With the Transparency The same two numbers Display the “Make the Case: Face Value” trans- add to 12. parency on the overhead. Before children can decide which character’s “nose knows,” they 2. = _____ need to figure out the answer to the problem. Encourage children to work in pairs to solve 3. + = _____ the problem. Then bring the class together for another whole-class discussion. Ask: 4. + + = _____ Ima Thinker • Who has the right answer? (Ms. Yogi) 5. + – = _____ • How did you figure it out? (Clue B shows that + = 20, so a sad face stands for 10. In 55 Clue A, replace the sad face with 10. So Name _____________________________________________ Date __________________ + 10 = 14; the smile face is 14 – 10 = 4.) MAKE FACE VALUE • How do you think Granny Knot got the THE answer of 10? (She might have mistakenly given CASE What number is XX ? the number for the sad face.) and stand for numbers. • How do you think that Señorita Rita got the answer of 7? (She might have mistakenly thought Faces that are the same stand for the same numbers. Use the clues. that both of the faces in Clue A had the same values; half of 14 is 7.) CLUES: + = 14 A. B. + = 20 The answer has I know the right Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources to be 7. answer is 10. Granny Knot I’m never wrong. I say the answer is 4. Señorita Rita 56 Whose nose knows? Ms. Yogi 54 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
Name _____________________________________________ Date __________________ SOLVE FACE VALUE THE What are the numbers? PROBLEM and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: + = 12 A. B. + = 15 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. = _____ I’ll use Clue A first. The same two numbers add to 12. 2. = _____ 3. + = _____ 4. + + = _____ 5. + Ima Thinker – = _____ 55
Name _____________________________________________ Date __________________ MAKE FACE VALUE THE CASE What number is XX ? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: + = 14 A. B. + = 20 The answer has I know the right Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources to be 7. answer is 10. Granny Knot I’m never wrong. I say the answer is 4. Señorita Rita 56 Whose nose knows? Ms. Yogi
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 1 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: A. + = 6 B. + = 2 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources I’ll use Clue B first. The same two numbers add to 2. 1. = _____ Ima Thinker 2. = _____ 3. + = _____ 4. + + = _____ 5. + + = _____ 57
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 2 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: A. + = 4 B. + = 10 I’ll use Clue A first. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources The same two numbers add to 4. 1. = _____ Ima Thinker 2. = _____ 3. 4. + = _____ 5. – = _____ 58 + + = _____
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 3 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: A. + = 14 B. – = 4 I’ll use Clue A first. The same two numbers add to 14. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. = _____ Ima Thinker 2. = _____ 3. + = _____ 4. + + = _____ 5. + + = _____ 59
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 4 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: – =6 A. B. + = 18 I’ll use Clue B first. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources The same two numbers add to 18. 1. = _____ Ima Thinker 2. = _____ 3. 4. + = _____ 5. + + = _____ 60 + – = _____
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 5 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: + = 24 A. B. – = 5 1. = _____ Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 2. = _____ 3. + + = _____ 4. + + = _____ 5. + + – = _____ 61
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 6 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: A. + + = 15 B. + = 25 1. = _____ 2. 3. = _____ Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 4. 5. – = _____ 62 ++ = _____ – – + = _____
Name _____________________________________________ Date __________________ PROBLEM FACE VALUE 7 What are the numbers? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: – =2 A. B. + + = 30 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. = _____ 2. = _____ 3. + + = _____ 4. + – = _____ 5. + + – = _____ 63
ALGEB RA READINESS 2 Snack Bags Overview Clues are given in the form of two bags, each showing the total cost of different types of snacks. Children solve for the cost of each snack. Algebra Solve for the values of two unknowns • Replace unknowns with their values Problem-Solving Strategies Reason deductively • Test values Related Math Skills Add • Subtract • Find half of a number Math Language ¢ (cents symbol) • Cost • Cost the same Introducing the Problem Set Make photocopies of “Solve the Problem: Snack Bags” (page 66) and distribute to children. Have children work in pairs, encouraging them to discuss strategies they might use to solve the problem. You may want to walk around and listen in on some of their discussions. After a few minutes, display the problem on the board (or on the overhead if you made a transparency) and use the following questions to guide a whole-class discussion on how to solve the problem: • Look at the two bags. What is in the bag with two snacks? (One pretzel and one apple juice) • What is in the bag with one snack? (Apple juice) • Which cost can you figure out first? (Apple juice) Why? (It is the only item in the bag.) • How much is the apple juice? (15¢) 64 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
SNACK BAGS Name _____________________________________________ Date __________________ SOLVE SNACK BAGS THE How much does each PROBLEM snack bag cost? • How can knowing that the apple juice is 15¢ 25¢ 15¢ help you figure out the cost of the pretzel? (We can subtract the cost of the apple juice from the total pretzel apple cost; 25¢ – 15¢ = 10¢. The pretzel costs 10¢.) and apple juice Work together as a class to answer the questions juice in “Solve the Problem: Snack Bags.” Snacks that are the same cost the same. Math Chat With the Transparency I know the apple juice Display the “Make the Case: Snack Bags” trans- is 15¢. So, a parency on the overhead. Before children can decide which character’s “nose knows,” they pretzel + 15¢ = 25¢. need to figure out the answer to the problem. Encourage children to work in pairs to solve pretzel Ima Thinker Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources the problem. Then bring the class together for another whole-class discussion. Ask: 1. 2 apple juices and • Who has the right answer? (Ms. Yogi) 2 pretzels 3. 1 pretzel • How did you figure it out? (Two cheese sticks cost 2. 10¢. So one cheese stick is half of 10¢, or 5¢. The 2 apple crackers are 14¢ – 5¢, or 9¢.) 66 juices and • How do you think Granny Knot got the answer 4. 2 pretzels of 7¢? (She might have thought that since there are two items in the bag for 14¢, that each item costs the Name _____________________________________________ Date __________________ same; half of 14¢ is 7¢.) MAKE SNACK BAGS • How do you think that Señorita Rita got the THE answer of 5¢? (She might have mistakenly given the CASE How much do the crackers cost? cost of the cheese stick instead of the crackers.) 10¢ 14¢ 2 cheese crackers crackers sticks and 1 cheese stick Snacks that are the same cost the same. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources The crackers That’s easy. have to cost 5¢. The crackers cost 7¢. Granny Knot You’re both wrong. The crackers cost 9¢. Señorita Rita Whose nose knows? Ms. Yogi 67 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources 65
Name _____________________________________________ Date __________________ SOLVE SNACK BAGS THE How much does each PROBLEM snack bag cost? 25¢ 15¢ pretzel apple and apple juice juice Snacks that are the same cost the same. I know the apple juice is 15¢. So, a pretzel + 15¢ = 25¢. pretzel Ima Thinker Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. 2 apple juices and 2 pretzels 3. 1 pretzel 2. 2 apple 66 juices and 4. 2 pretzels
Name _____________________________________________ Date __________________ MAKE SNACK BAGS THE CASE How much do the crackers cost? 10¢ 14¢ 2 cheese crackers crackers sticks and 1 cheese stick Snacks that are the same cost the same. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources The crackers That’s easy. have to cost 5¢. The crackers cost 7¢. Granny Knot You’re both wrong. The crackers cost 9¢. Señorita Rita Whose nose knows? Ms. Yogi 67
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 1 How much does each snack bag cost? 6¢ 14¢ carrot carrot and granola bar Snacks that are the same cost the same. I know the carrot is 6¢. So a granola bar + 6¢ = 14¢. granola Ima Thinker Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources bar 2 carrots 1. and 2 granola granola bars 3. bar 2. 1 carrot 68 and 2 granola 4. bars
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 2 How much does each snack bag cost? 7¢ 11¢ 1 bunch 1 bunch of of grapes grapes and 1 strawberry Snacks that are the same cost the same. I know the grapes are 7¢. So a strawberry + 7¢ = 11¢. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources strawberry Ima Thinker 1. 1 bunch of grapes and 2 bunches of grapes 2 and 1 3. strawberries 2. strawberry 2 bunches of grapes 4. and 2 strawberries 69
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 3 How much does each snack bag cost? 8¢ 16¢ 2 pears pear and a juice box Snacks that are the same cost the same. I’ll find the cost of one pear first. Then I’ll find the cost of the juice box. pear Ima Thinker Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 1. pear and 2 juice juice box 3. boxes 2. 2 pears 70 and 2 juice 4. boxes
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 4 How much does each snack bag cost? 22¢ 18¢ plum and 2 plums banana Snacks that are the same cost the same. I’ll figure out the cost of one plum first. Then I’ll find the cost of the banana. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources Ima Thinker plum banana and 1. 3. 2 plums banana plum and 2. 4. 2 bananas 71
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 5 How much does each snack bag cost? 25¢ 15¢ celery 3 celery stalk and stalks an orange Snacks that are the same cost the same. celery 2 celery Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources stalk stalks and 1. 3. 2 oranges orange 3 oranges and 2. 1 celery 4. stalk 72
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 6 How much does each snack bag cost? 12¢ 19¢ 3 cherries cherry and apricot Snacks that are the same cost the same. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources cherry cherry and 1. 3. 2 apricots apricot 3 cherries 2. and 4. 2 apricots 73
Name _____________________________________________ Date __________________ PROBLEM SNACK BAGS 7 How much does each snack bag cost? 18¢ 28¢ 2 apples 2 apples and a juice bar Snacks that are the same cost the same. apple apple Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources and 1. 3. 2 juice bars juice bar 2 apples 2. and 3 juice 4. bars 74
PROBLEM-SOLVING TRANSPARENCY SOLVE IT 1. Look What is the problem? Plan and Do2. What will you do first? How will you solve the problem? 3. Answer and Check How can you be sure your answer is correct? Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
SOLVE IT: HOW OLD AM I? How old are the mice? I am 3 months I am 10 older than months younger Lindy. than Squeaky. Scooter I am 6 months I am the BooBoo Lindy younger than oldest. Squeaky BooBoo. MICE’S AGES 7 4 20 10 SOLVE IT: NUMBER ON A HAT What is Z? Z Z stands for a number. Use the clues. CLUES: 1) Z is a number you say when you count by 10s. 2) Z is between 20 and 60. 3) Both of Z’s digits are even numbers. 76 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
SOLVE IT: POLKA DOTS How many vests are there? Each vest has 4 dots. There are 32 dots in all. SOLVE IT: WEIRD ROBOTS If the pattern continues, which robot will have 28 stars? Robot 1 Robot 2 Robot 3 Robot 4 77 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
SOLVE IT: FACE VALUE What number does the face with no ears stand for? and stand for numbers. Faces that are the same stand for the same numbers. CLUES: + =8 A. B. + = 10 SOLVE IT: SNACK BAGS How much does this 1 yogurt snack bag cost? and 1 pepper 46¢ 16¢ 2 peppers 2 peppers and 1 yogurt Snacks that are the same cost the same. 78 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
ANSWER KEY Solve It: How Old Am I? Clue 3 we know that G is a 2- Problem 2 digit number and that the How Old Am I? 1. Look: Four mice give facts tens digit is 2. That leaves 21, 1. 2 scarves, 8 dots in all (pages 11–19) about their ages. A sign 22, . . . , 28, 29. From Clue 2 2. 3 scarves, 12 dots in all Solve the Problem shows the ages in months. we are left with only 28 and 3. 5 scarves, 20 dots in all 1. 3 2. Plan and Do: Work back- 29. Only 28 fits Clue 4. 4. 6 scarves, 24 dots in all 2. 4 ward. Squeaky is the oldest so 3. 8 he is 20 months old. BooBoo Problem 6 Problem 3 4. 7 is 10 months younger than 5. 5 Squeaky, so BooBoo is 20 – 1. Clue 2 1. 2 skirts, 12 dots in all 10, or 10 months old. Lindy 2. 1, 2, . . . , 28, 29 2. 3 skirts, 18 dots in all Make the Case is 6 months younger than 3. 26 3. 4 skirts, 24 dots in all Whose nose knows? BooBoo, so Lindy is 10 – 6, 4. From Clue 2, H is 1, 2, . . . , 4. 6 skirts, 36 dots in all Señorita Rita or 4 months old. Scooter is 3 28, 29. Then Clue 3 elimi- months older than Lindy, so nates the numbers 1 to 24. Problem 4 Problem 1 Scooter is 4 + 3, or 7 months Clue 4 then eliminates 28 1. 3 old. and 29. Clue 1 eliminates 25 1. 3 bow ties, 12 dots in all 2. 8 3. Answer and Check: and 27. So H is 26. 2. 5 bow ties, 20 dots in all 3. 8 Squeaky is 20, BooBoo is 10, 3. 6 bow ties, 24 dots in all 4. 10 Lindy is 4, and Scooter is 7 Problem 7 4. 7 bow ties, 28 dots in all 5. 7 months old. Check answers with clues. 20 – 10 is 10; 1. Clue 2 Problem 5 Problem 2 10 – 6 is 4; 4 + 3 is 7. 2. 10, 11, . . . , 98, 99 1. 5 3. 89 1. 4 sweaters, 40 dots in all 2. 8 Number on a Hat 4. From Clue 2, the numbers 2. 6 sweaters, 60 dots in all 3. 6 (pages 22–30) are 10 to 99. Clue 1 elimi- 3. 7 sweaters, 70 dots in all 4. 13 nates all but 71 to 99. Clue 3 4. 10 sweaters, 100 dots in all 5. 8 Solve the Problem leaves only 78, 79, and 89. Only 89 fits Clue 4. Problem 6 Problem 3 1. 3, 4, 5, 6 1. 9 2. 4 and 6 Solve It: Number on a Hat 1. 3 jackets, 15 dots in all 2. 6 3. 3 2. 6 jackets, 30 dots in all 3. 8 4. 5 1. Look: There are 3 clues 3. 7 jackets, 35 dots in all 4. 3 about the number Z. The 4. 9 jackets, 45 dots in all 5. 6 Make the Case clues have to be used to fig- ure out Z. Problem 7 Problem 4 Whose nose knows? Granny 2. Plan and Do: Choose the 1. 8 Knot clue to use first. Clue 2 iden- 1. 5 coats, 15 dots in all 2. 2 tifies the numbers 21 2. 6 coats, 18 dots in all 3. 5 Problem 1 through 59. Make a list of 3. 8 coats, 24 dots in all 4. 4 those numbers. Clue 1 elimi- 4. 12 coats, 36 dots in all 5. 4 1. 0, 1, 2, 3, 4, 5, 6 nates all numbers except for 2. 0, 1, 2, 4, 5 30, 40, and 50. Clue 3 elimi- Solve It: Polka Dots Problem 5 3. 3 nates 30 and 50. Z is 40. 1. 18 4. 6 3. Answer and Check: 40. 1. Look: There is a picture of 2. 10 Check 40 with the clues. Clue one vest with 4 polka dots. 3. 4 Problem 2 1: You say the number 40 The problem is to figure out 4. 14 when you count by 10s. Clue the number of vests that have 5. 4 1. 0, 1, 2, 3, . . . , 13, 14 2: 40 is between 20 and 60. 32 polka dots in all. 2. 0, 1, 3, 5, 7, 9, 11, 13 Clue 3: 40 has two even dig- 2. Plan and Do: One vest has Problem 6 3. 2, 4, 6, 8, 10, 12 its. The answer checks. 4 dots. To figure out the 1. 42 4. 14 number of vests that have 32 2. 32 Polka Dots (pages 33–41) dots in all, count up by 4s to 3. 12 Problem 3 32. Record the number of 4. 16 1. 2 shirts, 6 dots in all numbers you say. 5. 26 1. 21, 22, 23, . . . , 33, 34 2. 3 shirts, 9 dots in all 3. Answer and Check: 8 vests 2. 21, 22, . . . , 30, 32, 34 3. 4 shirts, 12 dots in all in all. Figure out the number Problem 7 3. 31 4. 6 shirts, 18 dots in all of dots on 4 vests (4 + 4 + 4 + 1. 35 4. 33 4 = 16), and then add 16 + 16 2. 15 Make the Case to get the number of dots on 3. 30 Problem 4 8 vests. 4. 17 Whose nose knows? 5. 18 1. 39 Señorita Rita Weird Robots (pages 44–52) 2. Clue 3; 31 3. 31, 32, 33, 34, 36, 37, 38, Problem 1 1. Draw 10 arms on Robot 5. 39 2. 10 arms 4. 35 1. 3 hats, 6 dots in all 3. 12 arms 2. 5 hats, 10 dots in all 4. 16 arms Problem 5 3. 8 hats, 16 dots in all 5. Robot 10 4. 10 hats, 20 dots in all 1. Clue 1 79 2. 1, 2, 3, . . . , 28, 29 3. 28 4. Clue 1 gives 1 to 29. From Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
Make the Case 3. Answer and Check: Robot Solve It: Face Value Problem 7 7. Check by adding seven 4s Whose nose knows? or counting up by 4s and say- 1. Look: Two equations are 1. 9¢ Granny Knot ing seven numbers. shown with faces standing for 2. 10¢ numbers. Equation A shows 3. 29¢ Problem 1 Face Value (page 55–63) two faces with big ears and a 4. 48¢ 1. 6 sum of 8. Equation B shows 1. Draw 4 flowers on Robot 2. 9 two different faces and a sum Solve It: Snack Bags 5’s hat. 3. 18 of 10. The equations have to 2. 4 flowers 4. 21 be solved to figure out what 1. Look: Two bags. In the bag 3. 5 flowers 5. 3 number the face with no ears for 46¢, there is one yogurt 4. 6 flowers stands for. and 2 peppers. In the bag for Make the Case 2. Plan and Do: Use Equation 16¢, there are 2 peppers. The Problem 2 Whose nose knows? Ms. Yogi A to find the value of the problem is to figure out the face with big ears, which is 4. cost of a bag with one yogurt 1. Draw 6 eyes on Robot 5. Problem 1 Replace the face with big ears and one pepper. 2. 6 eyes 1. 1 in Equation B with 4. Then 2. Plan and Do: In the sec- 3. 7 eyes 2. 5 the face with no ears is ond bag there are only 2 pep- 4. 8 eyes 3. 10 10 – 4, or 6. pers for 16¢, so one pepper is 4. 7 3. Answer and Check: 6; half of 16¢, or 8¢. In the first Problem 3 5. 11 Replace the faces with their bag, the 2 peppers are 16¢, values in Equations A and B. so the yogurt is 46¢ – 16¢, or 1. Draw 9 feet on Robot 5. Problem 2 The answers should check. 30¢. So one yogurt and one 2. 11 feet 1. 2 pepper are 30¢ + 8¢, or 38¢. 3. 13 feet 2. 8 Snack Bags (pages 66–74) 3. Answer and Check: 38¢. To 4. 15 feet 3. 16 check, replace the yogurt 4. 6 1. 10¢ with 30¢ and each pepper Problem 4 5. 18 2. 20¢ with 8¢, and figure out the 3. 40¢ total cost of each bag. The 1. 7 hairs Problem 3 4. 50¢ total costs should match the 2. 9 hairs 1. 7 number of cents on each 3. 12 hairs 2. 3 Make the Case bag’s tag. 4. Robot 18 3. 10 4. 9 Whose nose knows? Ms. Yogi Problem 5 5. 17 Problem 1 1. 15 antennas Problem 4 2. 18 antennas 1. 9 1. 8¢ 3. 24 antennas 2. 3 2. 16¢ 4. Robot 10 3. 12 3. 20¢ 4. 21 4. 22¢ Problem 6 5. 15 Problem 2 1. 25 spots Problem 5 2. 30 spots 1. 12 1. 4¢ 3. 35 spots 2. 7 2. 18¢ 4. Robot 10 3. 21 3. 15¢ 4. 26 4. 22¢ Problem 7 5. 24 1. 11 buttons Problem 3 2. 13 buttons Problem 6 3. 17 buttons 1. 5 1. 4¢ 4. Robot 10 2. 20 2. 12¢ 3. 15 3. 28¢ Solve It: Weird Robots 4. 45 4. 32¢ 1. Look: Robots have stars. 5. 30 The numbers of stars are Problem 4 numbers you say when you Problem 7 count by 4s. The problem is 1. 10 1. 9¢ to figure out which robot has 2. 12 2. 13¢ 28 stars. 3. 32 3. 31¢ 2. Plan and Do: The number 4. 14 4. 35¢ of the robot is the same as 5. 20 the number of 4s that have to Problem 5 be added or counted to get 28 (4, 8, 12, 16, 20, 24, 28), 1. 5¢ or 28 stars. 2. 20¢ 3. 50¢ 4. 65¢ Problem 6 1. 4¢ 2. 15¢ 3. 34¢ 4. 42¢ 80 Algebra Readiness Made Easy: Grade 2 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources
TEACHING TRANSPARENCY MA KE THE CASE HOW OLD AM I? 2 How old is Chase? I am 3 years I am 4 years older than Spike. older than Dash. Chase I am 1 year I am the Lucky Spike younger than Lucky. youngest. Dash RABBITs’ AGES 6 5 28 I’m certain that Chase is Chase is definitely 3 years old. 8 years old. Granny Knot No way. Chase is 5 years old. Señorita Rita Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 81
TEACHING TRANSPARENCY MA KE THE CASE NUMBER ON A HAT 2 What is B? B stands for a number. B Use the clues. CLUES: 1) B is between 10 and 20. 2) B is an even number. 3) B is greater than 8 + 8. B can B is only be 16. definitely 18. Granny Knot You two are so silly. B is 20. Señorita Rita Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 82
MA KE THE CASE TEACHING TRANSPARENCY POLKA DOTS 2 How many umbrellas are there? Each umbrella has 5 dots. There are 20 dots in all. I’m sure there There are 5 are 4 umbrellas. umbrellas. Granny Knot No way. There are 100 umbrellas. Señorita Rita Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resource 83
MA KE THE CASE TEACHING TRANSPARENCY 2 WEIRD ROBOTS If the pattern continues, how many teeth will Robot 7 have? Robot 1 Robot 2 Robot 3 Robot 4 Robot 5 Robot 7 will have Robot 7 will have 14 teeth. 12 teeth. I’m sure of it! Granny Knot You’re both wrong. Robot 7 will have 10 teeth. Señorita Rita Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resource 84
TEACHING TRANSPARENCY MA KE THE CASE FACE VALUE 2 What number is ? and stand for numbers. Faces that are the same stand for the same numbers. Use the clues. CLUES: A. + = 14 B. + = 20 The answer has I know the right to be 7. answer is 10. Granny Knot I’m never wrong. I say the answer is 4. Señorita Rita Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 85
MA KE THE CASE TEACHING TRANSPARENCY SNACK BAGS 2 How much do the crackers cost? 10¢ 14¢ 2 cheese crackers crackers sticks and 1 cheese stick Snacks that are the same cost the same. The crackers That’s easy. have to cost 5¢. The crackers cost 7¢. Granny Knot Señorita Rita You’re both wrong. The crackers cost 9¢. Ms. Yogi Whose nose knows? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 86
S OLVE IT TEACHING TRANSPARENCY 2 PROBLEM -SOLVING TRANSPARENCY 1. Look What is the problem? 2. Plan and Do What will you do first? How will you solve the problem? 3. Answer and Check How can you be sure your answer is correct? Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 87
TEACHING TRANSPARENCY SOLVE IT: HOW OLD AM I? How old are the mice? I am 3 months I am 10 months older than younger than Lindy. Squeaky. Scooter I am 6 months BooBoo younger than Squeaky I am the BooBoo. oldest. Lindy MICE’S AGES 7 4 20 10 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources SOLVE IT: NUMBER ON A HAT What is Z? Z stands for a number. Z Use the clues. CLUES: 1) Z is a number you say when you count by 10s. 2) Z is between 20 and 60. 3) Both of Z’s digits are even numbers. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 88
TEACHING TRANSPARENCY SOLVE IT: POLKA DOTS How many vests are there? Each vest has 4 dots. There are 32 dots in all. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources SOLVE IT: WEIRD ROBOTS If the pattern continues, which robot will have 28 stars? Robot 1 Robot 2 Robot 3 Robot 4 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 89
TEACHING TRANSPARENCY SOLVE IT: FACE VALUE What number does the face with no ears stand for? and stand for numbers. Faces that are the same stand for the same numbers. CLUES: + =8 A. B. + = 10 Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources SOLVE IT: SNACK BAGS How much does this 1 yogurt snack bag cost? and 1 pepper 46¢ 16¢ 2 peppers 2 peppers and 1 yogurt Snacks that are the same cost the same. Algebra Readiness Made Easy: Gr. 2 © 2008 by Greenes, Findell & Cavanagh, Scholastic Teaching Resources 90
Search
