Core-Cambridge Math I Level 1: Product Guide

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1 PRODUCT GUIDE

2 Core-Cambridge Math I Level 1: Product Guide 1. About the Core-Cambridge I Collection The Core-Cambridge I Collection contains three separate programs designed for early learners and aligned to math curriculum standards for grades Kindergarten to Grade 3. Each program is described as a Level and each Level aligns to curriculum requirements for two grade levels: a. Level 1: This Level aligns to math curriculum requirements for Kindergarten and Grade 1. Math word problems involve addition and subtraction using numbers 1 to 20. The subject of the problems involve real life situations or Life Skills. b. Level 2: This Level aligns to math curriculum requirements for Grade 1 and Grade 2. Math word problems involve addition and subtraction using numbers 1 to 100 and base 10 numbers from 1 to The subjects of the problems are Life Skills, Length, Mass, Capacity, and Money. Single-step and two-step word problems are used. c. Level 3: This Level aligns to math curriculum requirements for Grade 2 and Grade 3. Math word problems involve addition, subtraction, multiplication, and division using numbers 1 to 100. The subjects of the problems are Life Skills, Length, Mass, Capacity, Money, and Time. Single-step, two-step, and mixed operations word problems are used. Appendix A contains the Table of Contents for each of the 3 Levels. Appendix D has the Table of Contents for Level 1 with the particular Common Core Math Standards that align to each of the three Units in Level Learning Objectives Although it will appear obvious that the main learning objective is the development of math problem solving skills, the process involved in developing those problem solving skills also addresses other important learning objectives: a. Students develop math facts knowledge, learn about the properties of numbers, and avoid becoming math phobic b. Students learn how math is used to solve real, practical problems which makes math more relevant and interesting to them; consequently, a deeper interest in learning math is engendered c. Students develop reading and writing skills by interpreting and answering math word problems 3. Program Components & Features a. Login for Learning Management: Each student will have a unique username so that their activity using the program, including test reports can be saved made available to them on the Course Menu that they will see after login. 1

3 Core-Cambridge Math I Level 1: Product Guide For education authority customers, individual student data and group data can also be accessed in the Administration area of the Learning Management System. Administrators can evaluate student progress, generate reports, and communicate with students within the Learning Management System. 2

Core-Cambridge Math I Level 1: Product Guide b.

The Units are sequenced with increasing difficulty in terms of problem type, math

Earlier Units are confined to narrow topic areas to encourage familiarity with reading

4 Core-Cambridge Math I Level 1: Product Guide b. Units: Each program is organized in discrete Units. The Units are sequenced with increasing difficulty in terms of problem type, math difficulty, and range of problem types. Earlier Units are confined to narrow topic areas to encourage familiarity with reading and solving given types of word problems. By the end of each Level, the student will have mastered the ability to identify and solve a range of different word problems appropriate to that student s grade level. 3

Core-Cambridge Math I Level 1: Product Guide c.

An Introduction file explains the type or types of word problems tested in the

It is not intended as primary instruction but more of a reminder on how to do

5 Core-Cambridge Math I Level 1: Product Guide c. Introduction Files: Each Unit has one or more Introduction files. An Introduction file explains the type or types of word problems tested in the Unit and offers some direction on how to read and solve them. It is not intended as primary instruction but more of a reminder on how to do the arithmetic necessary in the Unit and guidance on reading and answering math word problems. Some sample word problems are reviewed. 4

Core-Cambridge Math I Level 1: Product Guide If there is more than one Introduction file, the separation has been done to allow the

Students should review what Introduction files they feel will help them.

If students try the tests without listening to the Introduction files, if they have difficulty passing the tests, they should review

6 Core-Cambridge Math I Level 1: Product Guide If there is more than one Introduction file, the separation has been done to allow the review to be broken up so as not to over-task the student s attention. Students should review what Introduction files they feel will help them. The Introduction files have audio supported text that will ease the review. If students try the tests without listening to the Introduction files, if they have difficulty passing the tests, they should review the Introduction files and do some practice work with the Activity Sheet. d. Activity Sheet: The Activity Sheet is an important printable resource document that can be accessed from the last screen on the Introduction file. If there is more than one Introduction file, it is on the last screen of the last Introduction file. 5

The Activity Sheet can be used in class, as homework, or as part of a student s self-paced use of

7 Core-Cambridge Math I Level 1: Product Guide For convenience, a set of Level 1 Activity Sheets and Answer sheets are in Appendix C to this Guide. The Activity Sheet can be used in class, as homework, or as part of a student s self-paced use of the program. Answers to word problems should be given by full sentences. Questions in the Activity Sheet give students practice on how to write 6

Core-Cambridge Math I Level 1: Product Guide proper sentence answers. Obviously, the exact text used to answer a word problem may have some variation.

So the tests, provide a sentence answer, leaving the student to fill in the blank with the correct number part of the answer.

8 Core-Cambridge Math I Level 1: Product Guide proper sentence answers. Obviously, the exact text used to answer a word problem may have some variation. For this reason, the tests in the program do not ask students to type out sentence answers. Apart from being time consuming, scoring is made problematic by variable correct possible answers. So the tests, provide a sentence answer, leaving the student to fill in the blank with the correct number part of the answer. There is a second aspect to the Activity Sheet that offer important practice. All word problems in the program have a corresponding number calculation or math sentence needed to represent and solve the problem. Students can practice reading the word problem and writing the corresponding math sentence. For some questions, answers may vary, for example, the order of addition could be reversed but still correctly solve the problem. 7

Core-Cambridge Math I Level 1: Product Guide e. Practice Tests: Each Unit has one or more Practice Test. In Level 1, Practice Tests are scored and a test report saved.

They are intended to help students develop familiarity in the language used to present certain types of word problems as well as to apply the particular math knowledge

Unit Test: A Unit is successfully completed by passing a Unit Test. The pass rate is 80%.

9 Core-Cambridge Math I Level 1: Product Guide e. Practice Tests: Each Unit has one or more Practice Test. In Level 1, Practice Tests are scored and a test report saved. The pass rate is 60%. Practice Tests have a confined range of problem type or types. They are intended to help students develop familiarity in the language used to present certain types of word problems as well as to apply the particular math knowledge needed to solve those types of problems. Each Practice Test in level 1 should be completed before trying the Unit Test. f. Unit Test: A Unit is successfully completed by passing a Unit Test. The pass rate is 80%. The Unit Test combines the types the types of questions used in the individual Practice Tests. Consequently the range of question types is broader in the Unit Test and students face a greater challenge to identify the type of test and apply the appropriate solution. When a student has passed the Unit Test and the Practice Tests for a Unit, a Unit Completion Certificate can be printed. 8

10 Core-Cambridge Math I Level 1: Product Guide When all Units have been completed, a Course Completion Certificate can be printed. g. Random Test Generation: Every test in the program has a large population of available questions from which a set are randomly selected to create each test. Data on test question counts and test question availability are included in the Tables of Contents in Appendix A. By using random generation rather than static tests, students can re-take tests many times and have a different set of questions to answer each time. Unit Tests can be used diagnostically as pre-tests, that is, taken before any self-paced work in the Unit simply to identify if the learning objectives for that Unit have been mastered. Using Unit Tests as pre-tests is particularly helpful to identify which program level a student should be starting at. Students in grade 2 normally should be working at Level 2 or 3 but a pre-test at Level 1 may be appropriate to verify that introductory number sense concepts and addition and subtraction skills have been properly established. 4. Using the Level 1 Program Level 1 is very introductory. In most cases, it will be used by teachers to supplement in-class work. Teachers will determine a blended learning approach. Tests can be displayed on an interactive whiteboard and employed a class activity. Similarly, the Activity Sheets can be used as homework assignments or for group work in class, again perhaps supported by interactive whiteboards. As the Activity Sheets have write-in answers, students can use the IWB annotation tool to write answers to questions. In addition, all the questions for each test in Level 1 are set out in Appendix C. Teachers can develop from these questions their own activity sheets or question presentations for in-class use. Whatever level of instructional support and in-class work used in conjunction with the Level 1 program, at some point, students should be asked to login to the program, either at school or at home, and try to complete the tests. These sessions should be limited in duration, especially at the beginning. Initial use should not exceed 15 or 20 minutes and later use probably is best kept under 30 minutes. For best results, students should be expected to give focussed attention to reading and solving the problems. Speed in test completion is not a goal in itself and will improve with more experience. It is important though to not over-task at this stage. Success by small, steady steps will engender self-confidence and greater interest by students of all abilities. 9

11 Appendix A Tables of Contents Level 1 Unit Name Introduction Title Test Title Questions per Test Total Questions Unit 1: Addition 1.1 Numbers Addition Test 1: Life Skills, Numbers 1 to Addition Addition Test 2: Life Skills, Numbers 1 to Practice Test Total Addition Word Addition Unit Test 6 70 Unit Total Unit 2: Subtraction Word 2.1 Subtraction 2.2 Subtraction Subtraction Test 1: Life Skills, Numbers 1 to 10 Subtraction Test 2: Life Skills, Numbers 1 to Practice Test Total Subtraction Unit Test 6 50 Unit Total Unit 3: Addition & Subtraction Word Addition & Subtraction Addition & Subtraction Test 1: Numbers 1 to 10 Addition & Subtraction Test 2: Numbers 1 to Practice Test Total Addition & Subtraction Unit Test Unit Total Practice Test Questions Unit Test Questions Course Total

12 Appendix A Tables of Contents Level 2 Unit Name Introduction Title Test Title Unit 1: Addition Life Skills Word 1.1 Numbers 1.2 Addition 1.3 Addition Word - Life Skills Addition Life Skills Word Test 1: Numbers 1 to 10 Addition Life Skills Word Test 2: Numbers 1 to 20 Addition Life Skills Word Test 3: Base 10 Numbers Addition Life Skills Word Test 4: Numbers 1 to 100 Questions per Test Total Questions Practice Test Total Addition Life Skills Word Unit Test Unit Total Unit 2: Addition Money Word Addition Word - Money Addition Money Test 1 Addition Money Test Practice Test Total Addition Money Unit Test 8 55 Unit Total Unit 3: Addition Measurement Addition Word - Measurement Addition Measurement Word Test 1: Length Addition Measurement Word Test 2: Mass Addition Measurement Word Test 3: Capacity Practice Test Total Addition Measurement Word Unit Test Unit Total

13 Appendix A Tables of Contents Unit 4: Two-Step Addition Word Two-Step Addition Two-Step Addition Word Test 1: Life Skills Two-Step Addition Word Test 2: Money Two-Step Addition Word Test 3: Length Two-Step Addition Word Test 4: Mass & Capacity Practice Test Total Two-Step Addition Word Unit Test Unit Total Unit 5: Subtraction Life Skills Word 5.1 Subtraction 5.2 Subtraction Word - Life Skills Subtraction Life Skills Word Test 1: Numbers 1 to 10 Subtraction Life Skills Word Test 2: Numbers 1 to 20 Subtraction Life Skills Word Test 3: Base 10 Numbers Subtraction Life Skills Word Test 4: Numbers 1 to Practice Test Total Subtraction Life Skills Word Unit Test Unit Total Unit 6: Subtraction Money Word Subtraction Word - Money Subtraction Money Word Test 1 Subtraction Money Word Test Practice Test Total Subtraction Money Word Unit Test 8 50 Unit Total

14 Appendix A Tables of Contents Unit 7: Subtraction Measurement Subtraction Word - Measurement Subtraction Measurement Word Test 1: Length Subtraction Measurement Word Test 2: Mass Subtraction Measurement Word Test 3: Capacity Practice Test Total Subtraction Measurement Unit Test Unit Total Unit 8: Two-Step Subtraction Two-Step Subtraction Two-Step Subtraction Word Test 1: Life Skills Two-Step Subtraction Word Test 2: Money Two-Step Subtraction Word Test 3: Length, Mass, & Capacity Practice Test Total Two-Step Subtraction Word Unit Test Unit Total Unit 9: One-Step Addition & Subtraction Word One-Step Addition & Subtraction Word One-Step Addition & Subtraction Test 1: Life Skills Numbers 1 to 20 One-Step Addition & Subtraction Test 2: Life Skills Numbers 1 to 100 One-Step Addition & Subtraction Test 3: Money One-Step Addition & Subtraction Test 4: Length One-Step Addition & Subtraction Test 5: Mass One-Step Addition & Subtraction Test 6: Capacity

15 Appendix A Tables of Contents Practice Test total One-Step Addition & Subtraction Unit Test Unit Total Unit 10: Two-Step Addition & Subtraction Two-Step Addition & Subtraction Word Two-Step Addition & Subtraction Test 1: Life Skills Two-Step Addition & Subtraction Test 2: Money Two-Step Addition & Subtraction Test 3: Length Two-Step Addition & Subtraction Test 4: Mass & Capacity Practice Test Total Two-Step Addition & Subtraction Unit Test Unit Total Practice Test Questions Unit Test Questions Course Total

16 Appendix A Tables of Contents Level 3 Unit Name Introduction Title Test Title Questions per Test Total Questions Unit 1: Addition & Subtraction One-Step Addition and Subtraction Word Addition & Subtraction Word Test 1: Life Skills, Numbers 1 to 100 Addition & Subtraction Word Test 2: Length & Perimeter Addition & Subtraction Word Test 3: Mass & Capacity Practice Test total Addition & Subtraction Word Unit Test Unit Total Unit 2: Addition & Subtraction Two-Step Two-Step Addition and Subtraction Word Two-Step Addition & Subtraction Test 1: Life Skills Two-Step Addition & Subtraction Test 2: Length Two-Step Addition & Subtraction Test 3: Mass & Capacity Practice Test total Two-Step Addition & Subtraction Unit Test Unit Total Unit 3: Multiplication & Division Multiplication Division Word Multiplication & Division Word Test 1: Life Skills Multiplication & Division Word Test 2: Length, Perimeter, & Area Multiplication & Division Word Test 3: Mass & Capacity Practice Test total

17 Appendix A Tables of Contents Multiplication & Division Word Unit Test Unit Total Unit 4: One-Step Word : All Operations One-Step Word : All Operations One-Step : All Operations Test 1: Life Skills One-Step : All Operations Test 2: Length, Perimeter, & Area One-Step : All Operations Test 3: Mass & Capacity Practice Test total One-Step : All Operations Unit Test Unit Total Unit 5: Mixed Operations Mixed Operations Word Mixed Operations Test 1: Life Skills Mixed Operations Test 2: Length, Mass, & Capacity Practice Test total Mixed Operations Unit Test Unit Total Unit 6: Money Word Money Word Money Test 1: Addition & Subtraction Money Test 2: Two-Step Addition & Subtraction Money Test 3: All Operations Practice Test total Money Unit Test Unit Total Unit 7: Time Word 7.1 About Time Time Test 1: Addition & Subtraction Telling Time Time Test 2: Mixed Operations

18 Appendix A Tables of Contents 7.3 Calculating Time Time Unit Test Practice Test total Unit Total Unit 8: Scrambled Scrambled Word Scrambled Test 1: Life Skills 8 90 Scrambled Test 2: Money 8 90 Scrambled Test 3: Length, Perimeter, & Area 8 90 Scrambled Test 4: Mass 8 90 Scrambled Test 5: Capacity 8 90 Scrambled Test 6: Time 8 90 Practice Test total Scrambled Unit Test Unit Total Practice Test Questions Unit Test Questions Course Totals

19 Unit 1: Addition Activity Sheet Activity Sheet A. Numbers 1 to 10 Write a sentence to answer each word problem. 1. There are 4 children sitting at the red table. The same number of children are sitting at the blue table. What is the total number of children? 2. Leyla has 3 orange fish and 1 black fish. How many fish does Leyla have altogether? 3. Emma had 4 marbles. She is given another one. How many marbles does she have now? 4. Dave has 4 crayons and Lena has 2 crayons. How many crayons do they have? 5. Two people are giving a party. They ask 8 friends to the party. What is the total number of people at the party?. 18

20 Unit 1: Addition Activity Sheet Activity Sheet B. Numbers 1 to 10 Read the word problem and write a math sentence to answer each word problem. 1. Our car can carry 3 people on the front seat and 4 people on the back seat. How many people can our car carry? 2. Mira was playing a game with two dice. She rolled a 6 and a 2. What is the total of the two numbers that Mira rolled? 3. There are 4 cookies in a small package and 10 cookies in a big package. How many cookies are there in 2 small packages? 4. Eric eats 5 grapes. He then eats 2 slices of watermelon. How many pieces of fruit does Eric eat? 5. Lisa has 3 pencils and Kate has 5 pencils. How many pencils do they have altogether?. 19

21 Unit 1: Addition Activity Sheet Activity Sheet C. Numbers 1 to 20 Write a sentence to answer each word problem. 1. Twelve boys and 5 girls are playing a game. Altogether, how many children are playing the game? 2. Last week, Olivia ate 5 chocolates and this week she ate 7 chocolates. How many chocolates did Olivia eat in total? 3. Ten people at a backyard party are in the swimming pool and another 7 people at the party are playing on the lawn. How many people are at the party? 4. Tom went fishing. He caught 5 fish one day and 6 fish the next. How many fish did he catch? 5. Six children were playing a game. Seven more children join in. How many children are playing the game now?. 20

22 Unit 1: Addition Activity Sheet Activity Sheet D. Numbers 1 to 20 Read the word problem and write a math sentence to answer each word problem. 1. At a birthday party, there were 7 boys and 5 girls. How many children were at the party? 2. Willy pitched 10 horseshoes. Helen pitched 6 more horseshoes than Willy. How many horseshoes did Helen pitch? 3. Emily has 2 vases of flowers. One vase has 6 flowers in it and the other has 12 flowers in it. How many flowers is this in total? 4. Eight friends go hiking. Along the way, they are joined by 5 more friends. How many people are now hiking? 5. Maria buys two small cartons of eggs. There are six eggs in each carton. How many eggs does Maria buy?. 21

23 Unit 1: Addition Activity Sheet Answers Answers A. NUMBERS 1 to 10: Word Problem Answer Sentence 1. There are 8 children. 2. Leyla has 4 fish. 3. Emma has 5 marbles. 4. They have 6 crayons. 5. There are 10 people at the party. B. NUMBERS 1 to 10: Math Sentence = = = = = 7 C. NUMBERS 1 to 20: Word Problem Answer Sentence 1. There are 17 children playing the game. 2. Olivia ate 12 chocolates. 3. There are 17 people at the party. 4. Tom caught 11 fish. 5. There are 13 children playing the game. D. NUMBERS 1 to 20: Math Sentence = = = = =

24 Unit 2: Subtraction Activity Sheet Activity Sheet A. Numbers 1 to 10 Write a sentence to answer each word problem. 1. Lena has 5 pens and Tom has 2 pens. How many more pens has Lena got than Tom? 2. Rachel picked 5 tomatoes. She ate 1 of them. How many tomatoes does Rachel have left? 3. Alma has 5 stickers. How many more does she need to get to have 10 stickers? 4. Sofia has 6 rings. Amy has 2 rings fewer than Sofia. How many rings does Amy have? 5. Meg had 8 crayons. She lost 2 of them. How many crayons does she have now? B. Numbers 1 to 10 Read the word problem and write a math sentence to answer each math word problem. 1. Carrie buys 7 oranges. She eats 2 of them. How many oranges does Carrie have left? 2. A pizza is cut into 8 slices. Michael eats 4 slices. How many slices of pizza are left?. 23

25 Unit 2: Subtraction Activity Sheet Activity Sheet 3. There are 3 apples and 5 bananas in this bowl. How many fewer apples are there than bananas? 4. A baker cooks 6 cakes. He sells 5 of them. How many cakes does he have left? 5. Ivana had 10 hair clips. She loses 2 of them. How many does she have left? C. Numbers 1 to 20 Write a sentence to answer each word problem. 1. A boat holds 12 people. If there are 7 people on the boat, how many more people can the boat hold? 2. There are 20 candies in a pack and 8 of them are red. How many of the candies are not red? 3. Twelve birds are sitting in a tree. Four of the birds fly away. How many birds are left? 4. There are 20 children in summer day camp. Two of the children are away today. How many children are at day camp today?. 24

26 Unit 2: Subtraction Activity Sheet Activity Sheet 5. In Quick Start pre-school, there are 20 children. Ten of these are boys. How many are girls? D. Numbers 1 to 20 Read the word problem and write a math sentence to answer each word problem. 1. Fourteen people are on a bus. Seven of the people are men and the rest are women. How many women are there on the bus? 2. Twelve frogs are in a pond. Five jump out. How many frogs are left in the pond? 3. There are 17 birds a tree. Some fly away and now there are 11 birds in the tree. How many birds flew away? 4. There are 20 children in a school choir. Two of the children have a sore throat and can't sing. How many children can still sing? 5. Sam has 13 toys. Eight are in his toy cupboard and the rest are on the floor. How many of his toys are on the floor?. 25

27 Unit 2: Subtraction Activity Sheet Answers Answers A. NUMBERS 1 to 10: Word Problem Answer Sentence: 1. Lena has 3 more pens than Tom. 2. Rachel has 4 tomatoes left. 3. Alma needs 5 more stickers. 4. Amy has 4 rings. 5. Meg has 6 crayons. B. NUMBERS 1 to 10: Math Sentence: = = = = = 8 C. NUMBERS 1 to 20: Word Problem Answer Sentence: 1. The boat can hold 5 more people. 2. There are 12 candies in the pack that are not red.. 3. There are 8 birds left in the tree. 4. There are 18 children at camp today. 5. There are 10 girls at Quick Start pre-school. D. NUMBERS 1 to 20: Math Sentence: = = = = = 5. 26

28 Unit 3: Addition & Subtraction Activity Sheet Activity Sheet A. Numbers 1 to 10 Write a sentence to answer each word problem: 1. There are 4 children sitting at the red table. The same number of children are sitting at the blue table. What is the total number of children? 2. Leyla has 3 orange fish and 1 black fish. How many fish does Leyla have altogether? 3. Emma had 4 marbles. She is given another one. How many marbles does she have now? 4. Dave has 4 crayons and Lena has 2 crayons. How many crayons do they have? 5. Two people are giving a party. They ask 8 friends to the party. What is the total number of people at the party?. 27

29 Unit 3: Addition & Subtraction Activity Sheet Activity Sheet B. Numbers 1 to 10 Read the word problem and write a math sentence to answer each word problem. 1. Our car can carry 3 people on the front seat and 4 people on the back seat. How many people can our car carry? 2. Mira was playing a game with two dice. She rolled a 6 and a 2. What is the total of the two numbers that Mira rolled? 3. There are 4 cookies in a small package and 10 cookies in a big package. How many cookies are there in 2 small packages? 4. Eric eats 5 grapes. He then eats 2 slices of watermelon. How many pieces of fruit does Eric eat? 5. Lisa has 3 pencils and Kate has 5 pencils. How many pencils do they have altogether?. 28

30 Unit 3: Addition & Subtraction Activity Sheet Activity Sheet C. Numbers 1 to 20 Write a sentence to answer each word problem: 1. Twelve boys and 5 girls are playing a game. Altogether, how many children are playing the game? 2. Last week, Olivia ate 5 chocolates and this week she ate 7 chocolates. How many chocolates did Olivia eat in total? 3. Ten people at a backyard party are in the swimming pool and another 7 people at the party are playing on the lawn. How many people are at the party? 4. Tom went fishing. He caught 5 fish one day and 6 fish the next. How many fish did he catch? 5. Six children were playing a game. Seven more children join in. How many children are playing the game now?. 29

31 Unit 3: Addition & Subtraction Activity Sheet Activity Sheet D. Numbers 1 to 10 Read the word problem and write a math sentence to answer each word problem. 1. At a birthday party, there were 7 boys and 5 girls. How many children were at the party? 2. Willy pitched 10 horseshoes. Helen pitched 6 more horseshoes than Willy. How many horseshoes did Helen pitch? 3. Emily has 2 vases of flowers. One vase has 6 flowers in it and the other has 12 flowers in it. How many flowers is this in total? 4. Eight friends go hiking. Along the way, they are joined by 5 more friends. How many people are now hiking? 5. Maria buys two small cartons of eggs. There are six eggs in each carton. How many eggs does Maria buy?. 30

Unit 3: Addition & Subtraction Activity Sheet Answers Answers A. NUMBERS 1 to 10: Word Problem Answer Sentence 1. There are 3 more people in the longer line. 2. Lee's score is 8. 3. There are 8 apples and oranges.

32 Unit 3: Addition & Subtraction Activity Sheet Answers Answers A. NUMBERS 1 to 10: Word Problem Answer Sentence 1. There are 3 more people in the longer line. 2. Lee's score is There are 8 apples and oranges. 4. There are now 5 people on the bus. 5. Carrie has 5 oranges left. B. NUMBERS 1 to 10: Math Sentence = = = = = 8 C. NUMBERS 1 to 20: Word Problem Answer Sentence 1. Maria has 12 chocolates left. 2. Teri's score was The store sold altogether 25 newspapers. 4. There are 8 birds left in the tree. 5. Liam has 15 stickers. D. NUMBERS 1 to 20: Math Sentence = = = = = 6. 31

33 CORE - CAMBRIDGE MATH WORD PROBLEMS - Level 1 Unit 1: Addition - Test 1: Life Skills, Numbers 1 to 10? # Question Numeric Answer Sentence Answer Number Calculation 1 Mike has 5 pens and Jack has 2 pens. How many pens do they have in total? 7 In total, Mike and Jack have 7 pens = There are 3 people at a bus stop and then 4 more people join them. How many people does this make altogether? Yesterday we received 4 letters. Today we received 2 letters. How many letters altogether did we receive yesterday and today? Lee is playing a card game. He turns over a 3 and a 5 and adds the numbers together. What is his score? There are 2 pears, 5 apples, 4 bananas, and 3 oranges in a fruit bowl. How many apples and oranges are there altogether? In a pack of fruit-flavored yogurt cups, 2 are strawberry and 2 are raspberry. How many yogurt cups are there? Seven people are sitting on the beach. Two people join them. How many people are on the beach now? Tan has 6 computer games. He gets another 2 for his birthday. How many computer games does he have now? Ellie ate 4 chocolates on Saturday and she ate 5 chocolates on Sunday. How many chocolates did Ellie eat altogether? 7 There are 7 people at the bus stop = 7 6 We received 6 letters = 6 8 Lee's score is = 8 8 There are 8 apples and oranges = 7 4 There are 4 yogurt cups = 4 9 There are 9 people on the beach = 9 8 Tan has 8 computer games = 8 9 Ellie ate 9 chocolates = 9 10 Sarah has 4 marbles in one hand and 2 in the other hand. How many marbles is she holding? 6 Sarah is holding 6 marbles = 6 11 Brodie buys 3 red apples and 4 green apples. How many apples did Brodie buy? 7 Brodie bought 7 apples = 7 12 John counts 3 ducks in a pond and 2 ducks on the grass. How many ducks does John count? 5 John counts 5 ducks = 5 13 Adam counts 3 robins and 4 blackbirds in a tree. How many birds does Adam count? 7 Adam counts 7 birds = 7 14 There are 4 children sitting at the red table. The same number of children are sitting at the blue table. What is the total number of children? 8 There are 8 children = 8 15 Leyla has 3 orange fish and 1 black fish. How many fish does Leyla have altogether? 4 Leyla has 4 fish = 4 16 Emma had 4 marbles. She is given another one. How many marbles does she have now? 5 Emma has 5 marbles = 5 17 Dave has 4 crayons and Lena has 2 crayons. How many crayons do they have? 6 They have 6 crayons = Two people are giving a party. They ask 8 friends to the party. What is the total number of people at the party? Four people are in a line at the supermarket. Three more people join the line. How many people are in the line now? 10 There are 10 people at the party = 10 7 There are 7 people in the line = 7 20 One chair has 4 legs. How many legs do 2 chairs have in total? 8 Two chairs have 8 legs = 8 21 Dani has 4 dolls and 2 teddy bears. In total, how many dolls and teddy bears does Dani have? 6 Dani has 6 dolls and teddy bears = 6 22 Sean ate 2 of these packets of donuts. How many donuts did Sean eat? 6 Sean ate 6 donuts = 6 23 A postman delivers 2 letters to one house and 3 letters to another house. In total, how many letters does he deliver to the two houses? 5 The postman delivers 5 letters in total = 5 24 Demarcus buys 5 red apples and 4 green apples. How many apples does Demarcus buy? 9 Demarcus buys 9 apples = Matthew has collected 6 toy race cars. For his birthday, he is given another 2 toy race cars. How many toy race cars does Matthew have now? Our car can carry 3 people on the front seat and 4 people on the back seat. How many people can our car carry? Mira was playing a game with two dice. She rolled a 6 and a 2. What is the total of the two numbers that Mira rolled? There are 4 cookies in a small package and 10 cookies in a big package. How many cookies are there in 2 small packages? Three more children went swimming than went to the movies. Five children went to the movies. How many children went swimming? 8 Matthew has 8 toy race cars = 8 7 The car can carry 7 people = 7 8 Mira rolled a score of = There are 8 cookies in 2 small packages. There were 8 children who went swimming = = 8 30 Eric eats 5 grapes. He then eats 2 slices of watermelon. How many pieces of fruit does Eric eat? 7 Eric eats 7 pieces of fruit = 7 31 Lisa has 3 pencils and Kate has 5 pencils. How many pencils do they have altogether? 8 32 Carly has 4 marbles in one hand and 6 marbles in the other hand. How many marbles does she have? Lisa and Kate together have 8 pencils = 8 10 Carly has 10 marbles = Mae got 6 cards on her birthday. The next day she got 3 more. How many cards did Mae have? 9 Mae had 9 cards = Jessica was playing a game. She won 8 points, then she won another 2 points. How many points did Jessica win? On Monday we received 3 letters. On Tuesday we received 2 letters. How many letters did we receive on these two days together? 10 Jessica won 10 points = 10 5 We received 5 letters = 5 32

34 CORE - CAMBRIDGE MATH WORD PROBLEMS - Level 1 Unit 1: Addition - Test 2: Life Skills, Numbers 1 to 20? # Question Numeric Answer Sentence Answer Number Calculation 1 Teri rolled double 6 with her two dice. What was her score? 12 Teri's score was = 12 2 A store sells 12 newspapers in the morning and 13 more in the afternoon. How many newspapers were sold altogether? 25 The store sold altogether 25 newspapers = 25 3 Liam had 12 stickers. Amy gives him 3 more. How many stickers does Liam have now? 15 Liam has 15 stickers = Before this year, Paula had won 14 medals in running races. So far this year, Paula has won 3 more medals. How many medals does Paula have now? Zack picked 10 flowers. His mom picked another 4. How many flowers did they pick altogether? Twelve boys and 5 girls are playing a game. Altogether, how many children are playing the game? Last week, Olivia ate 5 chocolates and this week she ate 7 chocolates. How many chocolates did Olivia eat in total? Ten people at a backyard party are in the swimming pool and another 7 people at the party are playing on the lawn. How many people are at the party? 17 Paula now has 17 medals = Zack and his mom picked 14 flowers = There are 17 children playing the game = Olivia ate 12 chocolates = There are 17 people at the party = 17 9 Tom went fishing. He caught 5 fish one day and 6 fish the next. How many fish did he catch? 11 Tom caught 11 fish = Six children were playing a game. Seven more children join in. How many children are playing the game now? Today, a shop sold 7 umbrellas in the morning and 4 umbrellas in the afternoon. How many umbrellas was this in total? 13 There are 13 children playing the game =13 11 There were 11 umbrellas sold = At a birthday party, there were 7 boys and 5 girls. How many children were at the party? 12 There were 12 children at the party = Willy pitched 10 horseshoes. Helen pitched 6 more horseshoes than Willy. How many horseshoes did Helen pitch? Emily has 2 vases of flowers. One vase has 6 flowers in it and the other has 12 flowers in it. How many flowers is this in total? Eight friends go hiking. Along the way, they are joined by 5 more friends. How many people are now hiking? Maria buys two small cartons of eggs. There are six eggs in each carton. How many eggs does Maria buy? Julie has 3 more orange T-shirts than green ones. Julie has 6 green T-shirts. How many orange T-shirts does she have? 16 Helen pitched 16 horseshoes = There are 18 flowers in total = There are 13 people hiking = Maria buys 12 eggs = 12 9 Julie has 9 orange T-shirts = Gummies are 6 cents each. What do two gummies cost? 12 Two gummies cost 12 cents = A piece of licorice costs 7 cents. A gumball costs 2 cents more than a piece of licorice. What is the price of a gumball? 9 The price of a gumball is 9 cents = 9 20 Balloons cost 4 cents each. What is the cost of 2 balloons? 8 Two balloons cost 8 cents = 8 21 Mints cost 5 cents each. What do 2 mints cost? 10 Two mints cost 10 cents = Ryan had 16 swimming medals. He won 3 more. How many does he have now? 19 Ryan has 19 swimming medals = Kylie has 8 dolls and 4 teddy bears. How many dolls and teddy bears does she have? 12 Kylie has 12 dolls and teddy bears = Jack had 9 crayons. He was given 3 more. How many crayons does Jack have now? 12 Jack has 12 crayons = Ben had eight computer games. He was given three more for his birthday. How many games does he have now? Mae got 6 cards on her birthday. The next day she got 3 more. How many cards did Mae have? Eight children are in the library. Another five come in. How many children are in the library now? Alex picked 10 flowers. His sister picked another 8. How many flowers did Alex and his sister pick? There are 4 people in the Davis family. They invite 12 people to a party. How many people will be at the party? 11 Ben has 11 games = 11 9 Mae had 9 cards = 9 13 There are 13 children in the library = Alex and his sister picked 18 flowers = There will be 16 people at the party = Lucy had 9 marbles. She was given 5 more. How many marbles does she have now? 14 Lucy now has 14 marbles = 14 There were 9 children playing a game, then 4 more joined in. How many children are playing 31 the game now? In Miss Wilson's class, there are 8 girls with fair hair and the other 9 girls have dark hair. How 32 many girls are there in total? 33 At a birthday party, there were 7 boys and 6 girls. How many children were there? Meg buys 2 boxes of strawberries.there are 8 strawberries in one box and 9 strawberries in the other. How many strawberries are there? Marco climbs 12 steps and then another 5 steps to get to his bedroom. How many steps does he climb in total? 13 There are 13 children playing the game = There are 17 girls in total = 17 There are 13 children at the birthday party = There are 17 strawberries in the box = Marco climbs 17 steps of stairs = 17 33

35 CORE - CAMBRIDGE MATH WORD PROBLEMS - Level 1 Unit 1 Test? # Question Numeric Answer Sentence Answer Number Calculation 1 Mike has 5 pens and Jack has 2 pens. How many pens do they have in total? 7 In total, Mike and Jack have 7 pens = 7 2 Teri rolled double 6 with her two dice. What was her score? 12 Teri's score was = 12 There are 3 people at a bus stop and then 4 more people join them. How many people does this 3 make altogether? A store sells 12 newspapers in the morning and 13 more in the afternoon. How many newspapers 4 were sold altogether? Yesterday we received 4 letters. Today we received 2 letters. How many letters altogether did we 5 receive yesterday and today? Lee is playing a card game. He turns over a 3 and a 5 and adds the numbers together. What is his 6 score? 7 There are 7 people at the bus stop = 7 25 The store sold altogether 25 newspapers = 25 6 We received 6 letters = 6 8 Lee's score is = 8 7 Liam had 12 stickers. Amy gives him 3 more. How many stickers does Liam have now? 15 Liam has 15 stickers = 15 There are 2 pears, 5 apples, 4 bananas, and 3 oranges in a fruit bowl. How many apples and 8 oranges are there altogether? In a pack of fruit-flavored yogurt cups, 2 are strawberry and 2 are raspberry. How many yogurt cups 9 are there? Seven people are sitting on the beach. Two people join them. How many people are on the beach 10 now? Tan has 6 computer games. He gets another 2 for his birthday. How many computer games does 11 he have now? Ellie ate 4 chocolates on Saturday and she ate 5 chocolates on Sunday. How many chocolates did 12 Ellie eat altogether? 8 There are 8 apples and oranges = 7 4 There are 4 yogurt cups = 4 9 There are 9 people on the beach = 9 8 Tan has 8 computer games = 8 9 Ellie ate 9 chocolates = 9 13 Sarah has 4 marbles in one hand and 2 in the other hand. How many marbles is she holding? 6 Sarah is holding 6 marbles = 6 14 Brodie buys 3 red apples and 4 green apples. How many apples did Brodie buy? 7 Brodie bought 7 apples = 7 15 John counts 3 ducks in a pond and 2 ducks on the grass. How many ducks does John count? 5 John counts 5 ducks = 5 16 Before this year, Paula had won 14 medals in running races. So far this year, Paula has won 3 more medals. How many medals does Paula have now? 17 Paula now has 17 medals = Adam counts 3 robins and 4 blackbirds in a tree. How many birds does Adam count? 7 Adam counts 7 birds = 7 18 There are 4 children sitting at the red table. The same number of children are sitting at the blue table. What is the total number of children? 8 There are 8 children = 8 19 Zack picked 10 flowers. His mom picked another 4. How many flowers did they pick altogether? 14 Zack and his mom picked 14 flowers = Leyla has 3 orange fish and 1 black fish. How many fish does Leyla have altogether? 4 Leyla has 4 fish = 4 21 Emma had 4 marbles. She is given another one. How many marbles does she have now? 5 Emma has 5 marbles = 5 22 Twelve boys and 5 girls are playing a game. Altogether, how many children are playing the game? 17 There are 17 children playing the game = Dave has 4 crayons and Lena has 2 crayons. How many crayons do they have? 6 They have 6 crayons = 6 Two people are giving a party.they ask 8 friends to the party. What is the total number of people at 24 the party? Last week, Olivia ate 5 chocolates and this week she ate 7 chocolates. How many chocolates did 25 Olivia eat in total? Four people are in a line at the supermarket. Three more people join the line. How many people are 26 in the line now? 10 There are 10 people at the party = Olivia ate 12 chocolates = 12 7 There are 7 people in the line = 7 27 One chair has 4 legs. How many legs do 2 chairs have in total? 8 Two chairs have 8 legs = 8 28 Dani has 4 dolls and 2 teddy bears. In total, how many dolls and teddy bears does Dani have? 6 Dani has 6 dolls and teddy bears = 6 29 Sean ate 2 of these packets of donuts. How many donuts did Sean eat? 6 Sean ate 6 donuts = 6 Ten people at a backyard party are in the swimming pool and another 7 people at the party are 30 playing on the lawn. How many people are at the party? 17 There are 17 people at the party = 17 A postman delivers 2 letters to one house and 3 letters to another house. In total, how many letters 31 does he deliver to the two houses? 5 The postman delivers 5 letters in total = 5 32 Tom went fishing. He caught 5 fish one day and 6 fish the next. How many fish did he catch? 11 Tom caught 11 fish = Demarcus buys 5 red apples and 4 green apples. How many apples does Demarcus buy? 9 Demarcus buys 9 apples = 9 Matthew has collected 6 toy race cars. For his birthday, he is given another 2 toy race cars. How 34 many toy race cars does Matthew have now? Six children were playing a game. Seven more children join in. How many children are playing the 35 game now? Today, a shop sold 7 umbrellas in the morning and 4 umbrellas in the afternoon. How many 36 umbrellas was this in total? 8 Matthew has 8 toy race cars = 8 13 There are 13 children playing the game =13 11 There were 11 umbrellas sold = 11 34

36 CORE - CAMBRIDGE MATH WORD PROBLEMS - Level 1 Unit 1 Test? # Question Numeric Answer Sentence Answer Number Calculation 37 At a birthday party, there were 7 boys and 5 girls. How many children were at the party? 12 There were 12 children at the party = 12 Our car can carry 3 people on the front seat and 4 people on the back seat. How many people can 38 our car carry? Mira was playing a game with two dice. She rolled a 6 and a 2. What is the total of the two numbers 39 that Mira rolled? There are 4 cookies in a small package and 10 cookies in a big package. How many cookies are 40 there in 2 small packages? Three more children went swimming than went to the movies. Five children went to the movies. 41 How many children went swimming? 7 The car can carry 7 people = 7 8 Mira rolled a score of = There are 8 cookies in 2 small packages. There were 8 children who went swimming = = 8 42 Eric eats 5 grapes. He then eats 2 slices of watermelon. How many pieces of fruit does Eric eat? 7 Eric eats 7 pieces of fruit = 7 43 Lisa has 3 pencils and Kate has 5 pencils. How many pencils do they have altogether? 8 Lisa and Kate together have 8 pencils = 8 Willy pitched 10 horseshoes. Helen pitched 6 more horseshoes than Willy. How many horseshoes 44 did Helen pitch? Emily has 2 vases of flowers. One vase has 6 flowers in it and the other has 12 flowers in it. How 45 many flowers is this in total? Eight friends go hiking. Along the way, they are joined by 5 more friends. How many people are now 46 hiking? Maria buys two small cartons of eggs.there are six eggs in each carton. How many eggs does 47 Maria buy? Julie has 3 more orange T-shirts than green ones. Julie has 6 green T-shirts. How many orange T- 48 shirts does she have? 16 Helen pitched 16 horseshoes = There are 18 flowers in total = There are 13 people hiking = Maria buys 12 eggs = 12 9 Julie has 9 orange T-shirts = Gummies are 6 cents each. What do two gummies cost? 12 Two gummies cost 12 cents = A piece of licorice costs 7 cents. A gumball costs 2 cents more than a piece of licorice. What is the price of a gumball? 9 The price of a gumball is 9 cents = 9 51 Balloons cost 4 cents each. What is the cost of 2 balloons? 8 Two balloons cost 8 cents = 8 52 Mints cost 5 cents each. What do 2 mints cost? 10 Two mints cost 10 cents = Carly has 4 marbles in one hand and 6 marbles in the other hand. How many marbles does she have? 10 Carly has 10 marbles = Ryan had 16 swimming medals. He won 3 more. How many does he have now? 19 Ryan has 19 swimming medals = Kylie has 8 dolls and 4 teddy bears. How many dolls and teddy bears does she have? 12 Kylie has 12 dolls and teddy bears = Jack had 9 crayons. He was given 3 more. How many crayons does Jack have now? 12 Jack has 12 crayons = Ben had eight computer games. He was given three more for his birthday. How many games does he have now? 11 Ben has 11 games = Mae got 6 cards on her birthday. The next day she got 3 more. How many cards did Mae have? 9 Mae had 9 cards = 9 59 Jessica was playing a game. She won 8 points, then she won another 2 points. How many points did Jessica win? 10 Jessica won 10 points = Eight children are in the library. Another five come in. How many children are in the library now? 13 There are 13 children in the library = Alex picked 10 flowers. His sister picked another 8. How many flowers did Alex and his sister pick? 18 Alex and his sister picked 18 flowers = There are 4 people in the Davis family. They invite 12 people to a party. How many people will be at the party? 16 There will be 16 people at the party = Lucy had 9 marbles. She was given 5 more. How many marbles does she have now? 14 Lucy now has 14 marbles = 14 There were 9 children playing a game, then 4 more joined in. How many children are playing the 64 game now? In Miss Wilson's class, there are 8 girls with fair hair and the other 9 girls have dark hair. How many 65 girls are there in total? 66 At a birthday party, there were 7 boys and 6 girls. How many children were there? 13 Meg buys 2 boxes of strawberries.there are 8 strawberries in one box and 9 strawberries in the 67 other. How many strawberries are there? Marco climbs 12 steps and then another 5 steps to get to his bedroom. How many steps does he 68 climb in total? On Monday we received 3 letters. On Tuesday we received 2 letters. How many letters did we 69 receive on these two days together? 13 There are 13 children playing the game = There are 17 girls in total = 17 There are 13 children at the birthday party = There are 17 strawberries in the box = Marco climbs 17 steps of stairs = 17 5 We received 5 letters = 5 70 Tom had $8. His mother gave him another $5. How much money does Tom have? 13 Tom now has $ = 13 (dollars) 35

37 CORE - CAMBRIDGE MATH WORD PROBLEMS - Level 1 Unit 2: Subtraction - Test 1: Life Skills, Numbers 1 to 10? # Question Numeric Answer Sentence Answer Number Calculation 1 Lena has 5 pens and Tom has 2 pens. How many more pens does Lena have than Tom? 3 Lena has 3 more pens than Tom. 5-2 = 3 2 Rachel picked 5 tomatoes. She ate 1 of them. How many tomatoes does Rachel have left? 4 Rachel has 4 tomatoes left. 5-1 = 4 3 Alma has 5 stickers. How many more does she need to get to have 10 stickers? 5 Alma needs 5 more stickers = 5 4 A boat holds 12 people. If there are 7 people on the boat, how many more people can the boat hold? 5 The boat can hold 5 more people = 5 5 Sofia has 6 rings. Amy has 2 rings fewer than Sofia. How many rings does Amy have? 4 Amy has 4 rings. 6-2 = 4 6 Meg had 8 crayons. She lost 2 of them. How many crayons does she have now? 6 Meg has 6 crayons. 8-2 = 6 7 There are 8 children and 2 adults on a bus. How many more children are on the bus than adults? 6 There are 6 more children on the bus than there are adults. 8-2 = 6 8 Mario blew up 10 balloons. Two of the balloons burst. How many balloons were left? 8 There are 8 balloons left = 8 9 A baker made 10 cakes. He burnt 3 and cannot sell them. How many cakes can he still sell? 7 The baker can sell 7 cakes = 7 10 Tom has 5 toy cars. Lee has 8 toy cars. How many more toy cars does Lee have than Tom? 3 Lee has 3 more toy cars than Tom. 8-5 = 3 11 There are 10 people in one line at a supermarket and 7 people in another line. What is the difference between the number of people in the two lines? 3 There are 3 more people in the longer line = 3 12 Eight people are on a bus. Three people get off. How many people are there on the bus now? 5 There are now 5 people on the bus. 8-5 = 3 13 Carrie buys 7 oranges. She eats 2 of them. How many oranges does Carrie have left? 5 Carrie has 5 oranges left. 7-2 = 5 14 A pizza is cut into 8 slices. Michael eats 4 slices. How many slices of pizza are left? 4 There are 4 slices of pizza left. 8-4 = 4 15 There are 3 apples and 5 bananas in this bowl. How many fewer apples are there than bananas? 2 There are 2 fewer apples than there are bananas. 5-3 = 2 16 A baker cooks 6 cakes. He sells 5 of them. How many cakes does he have left? 1 He has 1 cake left. 6-5 = 1 17 Ivana had 10 hair clips. She loses 2 of them. How many does she have left? 8 Ivana has 8 hair clips left = 8 18 There are 6 candles on a cake. Four get blown out. How many candles are still lit? 1 There are 2 candles still lit. 6-4 = 2 19 A clown is juggling 6 balls. If he drops 1 ball, how many balls is he still juggling? 5 He is still juggling 5 balls. 6-1 = 5 20 There are 10 boys and 8 girls at the beach. How many more boys are there than girls? 2 A store had 8 copies of the Batwoman comic. It sold 5 copies. How many copies does it have 21 left? Cameron bought 8 bags of potato chips. He ate 2 of the bags of chips. How many bags of chips 22 are left? A clown is holding 6 balloons. One balloon flies away. How many balloons is the clown still 23 holding? There are 8 bananas on a tree. Three monkeys eat one banana each. How many bananas are 24 left on the tree? 25 There are 6 boys and 9 girls. How many fewer boys than girls are there? 3 3 There are 2 more boys than there are girls at the beach. The store has 3 copies of the Batwoman comic left = = 3 6 There are 6 bags of potato chips left. 8-6 = 2 5 The clown is holding 5 balloons = 5 5 There are 5 bananas left on the tree = 5 There are 3 fewer boys than there are girls. 9-6 = 3 36

Smiley Face Math Grade 1 Worksheet I. 1. Tori found 4 pink shells and 5 gray shells. How many shells did she find? Show the problem with counters.

Smiley Face Math Grade 1 Worksheet I Name: 1. Tori found 4 pink shells and 5 gray shells. How many shells did she find? Show the problem with counters. Answer: Tori found shells in all. 4 pink shells 2.