TARGET Foundational 1 Mathematics

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TARGETFoundationalMathematics1Home-School ConnectionSupport Coach

Welcome to the Home-School Connection!We want you to see examples of the mathematics that your child is studying inschool this year.The program is based on a new course of study called Common Core StateStandards. It is new not only in your district but in almost every state in the country.Many lessons may look just like earlier ones, but there are changes taking placein the way math is taught and learned. Two of the big changes include greateremphasis on understanding basic concepts and on solving problems.In Kindergarten and in Grades 1 and 2: Math Begins Early. From the beginning, it iscrucial for children to be grounded in important fundamental concepts. This bookletgives you an idea of the changes and a chance to see what is in your child’s mathprogram. Take a look at the questions your child is asked. Each page shows aquestion or two from each lesson of the program.Here is what you can do: Find out what lesson your child is working on in school. Look at the question from that lesson. Go over this question–your child will show you how to answer the question, or Help with finding the answer.Common Core Support Coach, Target: Foundational Mathematics, First Edition, Home–School Connection, Grade 1T356NAHISBN: 978-1-62928-328-9Triumph Learning 136 Madison Avenue, 7th Floor, New York, NY 10016 2016 Triumph Learning, LLC.All rights reserved. Reproduction of this book is prohibited except where specificallyidentified as reproducible. Reproducible pages must be duplicated in complete formand are for classroom use only.Printed in the United States of America.10 9 8 7 6 5 4 3 2 1

ContentsLesson 1Lesson 2Lesson 3Lesson 4Lesson 5Lesson 6Lesson 7Lesson 8Lesson 9Lesson 10Lesson 11Lesson 12Lesson 13Lesson 14Lesson 15Lesson 16Lesson 17Lesson 18Lesson 19Lesson 20Count and Write Two-Digit Numbers . . . . . . . . . . . . . 4Count to 120 . . . . . . . . . . . . . . . . . . . . . . . . . . 5Place Value . . . . . . . . . . . . . . . . . . . . . . . . . . . 6Compare Numbers . . . . . . . . . . . . . . . . . . . . . . 7Compare and Order Lengths . . . . . . . . . . . . . . . . . 8Count On . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Understand the Equal Sign . . . . . . . . . . . . . . . . . . 10Relate Addition and Subtraction . . . . . . . . . . . . . . . . 11Missing Numbers in Equations . . . . . . . . . . . . . . . . 12Addition Facts to 10 . . . . . . . . . . . . . . . . . . . . . . 13Add by Putting Together and Adding To . . . . . . . . . . . 14Subtract by Taking Away and Taking Apart . . . . . . . . . 15Solve Comparison Addition and Subtraction Problems . . . 16Addition Facts within 20 . . . . . . . . . . . . . . . . . . . .17Add Three Numbers . . . . . . . . . . . . . . . . . . . . . 18Subtraction Facts within 20 . . . . . . . . . . . . . . . . . . 19Add a 1-Digit to a 2-Digit Number . . . . . . . . . . . . . . 2010 More and 10 Less . . . . . . . . . . . . . . . . . . . . . 21Subtract 10s . . . . . . . . . . . . . . . . . . . . . . . . . . 22Add 10s . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27Support Coach: Home-School Connection3

LESSON1Count and Write Two-Digit NumbersWe learned how to count and show two-digit numbers.We learned that two-digit numbers are made of tens and ones.Let’s work together to show 18 three ways.Draw a group of ten and ones. Circle the group of ten.Reproducible page. 2016 Triumph Learning, LLCUse ten frames.Use a tens-ones table.tensonesSupport Coach: Home-School Connection4

LESSON2Count to 120Reproducible page. 2016 Triumph Learning, LLCWe learned to count to 120.Let’s make our own number chart to 120.Write the missing numbers in the chart.Let’s find out what theand thestand for.12345671516171112132122 23 24 25 26 27 283132 33 34 35 36 37 38 39 404142 435152 53 54 55 566162 63 64 65 66 67 68 69 701891019203045 46 47 48 49 5058 59 6072 73 74 75 76 77808182 83 8486 87919296 97 989410110510711189 90100109118 119Thestands for.Thestands for.Support Coach: Home-School Connection5

LESSON3Place ValueWe learned to count groups of 10 to make counting easier.We learned that when there are extras, we count by 10s andthen count the extras by 1s.Reproducible page. 2016 Triumph Learning, LLCLet’s work together to count the number of.groups of 10extrain allSupport Coach: Home-School Connection6

LESSON4Compare NumbersWe learned how to compare numbers as being greater than,equal to, or less than each other. We learned that when wecompare, we look at the tens place first, and if they are the same,then we look at the ones.Let’s work together to compare numbers between 1 through 99.We both think of a number. Then we write the numbers inthe spaces. Write either , , or to compare.Reproducible page. 2016 Triumph Learning, LLCDraw models of each number to prove that you are correct.Support Coach: Home-School Connection7

LESSON5Compare and Order LengthsWe learned how to measure items using cubes. We learnedthat the end of the item needs to be even with the end of thestarting cube so that we can get an accurate measure.Reproducible page. 2016 Triumph Learning, LLCLet’s work together to find two items that measure as long asthe cubes shown.Support Coach: Home-School Connection8

LESSON6Count OnWe learned how to count on to find the totals of two groups ofnumbers. We learned that when we count on, we start with thegreater number and then count forward from there.Let’s work together to count on to find the totals of two numbers.Reproducible page. 2016 Triumph Learning, LLCCount on to find the total of 16 and 2.Use numbers or draw pictures to show how you count on.Complete the sentence below.16 and 2 istotal.Support Coach: Home-School Connection9

LESSON7Understand the Equal SignWe learned that the equal sign means that both sides arethe same value. When we see the equal sign, both sidesmust have the same value.Let’s work together to make both sides of the equation equal.Write an expression that makes both sides equal.Draw a model to show that both sides are equal.Reproducible page. 2016 Triumph Learning, LLC15 4 15 4 and this is true.Support Coach: Home-School Connection10

LESSON8Relate Addition and SubtractionWe learned that we can use addition to help us solve subtractionproblems. We use related addition facts to solve subtractionequations. Let’s review together. Start by reading the story andcreating a subtraction equation.Kipper had 9 dog bones in a box. He buried 7 in the yard.How many bones are left in the box?Subtraction equation:      9 2 7 5Think about addition to solve:    7 159We create a number bond:9Solve the addition equation:715971Reproducible page. 2016 Triumph Learning, LLCSolve the original subtraction equation:9275Use addition to solve a subtraction equation.10 2 6 5Think about addition to solve:   6 15 10Create a number bond:Solve the addition equation:6115 10Solve the original subtraction equation:10 2 6 5Support Coach: Home-School Connection11

LESSON9Missing Numbers in EquationsWe learned to find missing numbers in equations. We count onfrom a number to do this. Let’s review together. Start by finding themissing number in this equation.Count on. 6 15 10What is the first number you say?What is the last number you say?How many numbers did you say?What number is missing from the equation?615 10Reproducible page. 2016 Triumph Learning, LLCDraw or write a story problem to tell about the equation.Then solve for the missing number.71715 155 15Support Coach: Home-School Connection12

LESSON10Addition Facts to 10We learned to add facts to 10 in different ways. We learned thatyou can add numbers in any order and the sum will be the same.Let’s work together to add two different numbers two ways.Choose two different numbers 5 or less.andAdd the numbers two ways.515Reproducible page. 2016 Triumph Learning, LLC1Support Coach: Home-School Connection13

LESSON11Add by Putting Togetherand Adding ToWe learned to add by putting two parts togetherto find the total and to find the missing part byadding on to get to the total. We learned that we can usemodels to show what is happening in the addition problem.Let’s work together to find the missing part by counting up.There are 15 birds in the cage. 7 are yellow. The rest are red.How many birds are red?Fill in the part and the total.PartPartWholeReproducible page. 2016 Triumph Learning, LLCWrite the equation.15Use circles to represent birds. Draw the total birds.Shade the number of yellow birds.Count up the circles that are not shaded.Complete the equation.15birdsSupport Coach: Home-School Connection14

LESSONSubtract by Taking Awayand Taking Apart12We learned to subtract to solve taking away and taking apart wordproblems. We learned that we can use models, a drawing, or anumber line to solve a problem.Let’s work together to solve this problem.Use ones models or a drawing.There are 17 ladybugs.Some ladybugs fly away.Fill in how many ladybugs fly away with a number less than 15.Reproducible page. 2016 Triumph Learning, LLCladybugs fly away.How many ladybugs are left?17 2There are5ladybugs left.Support Coach: Home-School Connection15

LESSONSolve Comparison Addition andSubtraction Problems13We learned to solve comparison problems. We used bar modelsto show the numbers. Then we added or subtracted to solve theproblems. Let’s work together to solve this comparison problem.Eli read 9 books.Ana read 14 books.How many more books did Ana read than Eli?Write an equation.25Make a bar model.Reproducible page. 2016 Triumph Learning, LLCAnaEliSubtract 14 2 9 to find how many more.14 2 9 5Ana readmore books than Eli.Support Coach: Home-School Connection16

LESSON14Addition Facts within 20We learned different strategies for adding numbers within 20. Welearned to use a ten frame and then make a ten strategy to add.Let’s review how to use a ten frame and how to make a ten.Add 7 1 11.Fill in ten frames.Write the equations.Make a ten.Reproducible page. 2016 Triumph Learning, LLC1511155Support Coach: Home-School Connection17

LESSON15Add Three NumbersWe learned to solve word problems involving adding threenumbers. We learned we could begin by making a ten,using a fact we know, or adding the first two numbers.Let’s work together to solve this problem.Fill in three numbers less than 10.Joy hasgreen blocks andHer friend gives herred blocks.more blocks.How many blocks does she have now?Reproducible page. 2016 Triumph Learning, LLC1Joy has15blocks.Support Coach: Home-School Connection18

LESSON16Subtraction Facts within 20We learned how to solve subtraction facts within 20. We used astrategy where we subtracted in two-steps: once to get to 10 andthen to find the answer. To do this, we first had to break apart thenumber to subtract into two parts. Let’s work together to solve thissubtraction problem.Find 13 2 7. Show all the steps you use to do this.I break apart a number to help get to 10.Reproducible page. 2016 Triumph Learning, LLCThis is how:I subtract to get to the 10:I subtract to find the answer.13 2 7 5Support Coach: Home-School Connection19

Add a 1-Digit to a2-Digit NumberLESSON17We learned to make jumps on a number line to help us add.We found the first number on the line. From there we made jumpsthat show the second number. Let’s review how to use the numberline to add together.Add. 43 1 8 5Start at 43 on the number line.40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55What is the next ten?Reproducible page. 2016 Triumph Learning, LLCDraw a big jump from 43 to 50.How many numbers do you jump so far?numbersDraw a small jump from 50 to 51.How many numbers do you jump in all?numbers.Why do you jump 8?Where do you land?43 1 8 5Support Coach: Home-School Connection20

LESSON1810 More and 10 LessWe learned to find 10 more and 10 less than a given two-digitnumber. We learned that first we should find the tens digit andthen add 1 ten to find 10 more or subtract 1 ten to find 10 less.Let’s work together to solve this problem.Fill in a two-digit number greater than 11.Find 10 less than10 less than.is.Reproducible page. 2016 Triumph Learning, LLCDraw a model of your number and 10 less than your number.Support Coach: Home-School Connection21

LESSON19Subtract 10sWe learned how to subtract a group of tens from another group oftens. We used tens to model the subtraction, first shown with tensmodels and then by drawing tens. We then crossed out the tens toshow the subtraction, and counted the number of tens that wereleft. Let’s work together to solve this subtraction equation.Subtract 90 30. Show all the steps you use to do this.Reproducible page. 2016 Triumph Learning, LLCI model the number 90 by drawing tens. This is how:I subtract 30 by crossing out tens.I look at the tens left and find the answer.90 30 Support Coach: Home-School Connection22

LESSON20Add 10sWe learned to add a decade number such as 10, 20, 30 to atwo-digit number. We learned that first we should find the tens digitfor each number and then add the tens digits to find how manytens are in the answer. We also learned that the ones digit from thestarting number stays the same.Let’s work together to solve this problem.Fill in with a two-digit number less than 50.Explain how you solved.Reproducible page. 2016 Triumph Learning, LLC 50 50 Support Coach: Home-School Connection23

Glossaryadd (addition) to find howmany in all (Lesson 7)31255break apart to show the tensand ones in a number. Thiscan also be done to showthe addends that make up anumber. (Lesson 16)Break apart 23.1 2 3 4 5 6 7 8 9 103equal to numbers that havethe same value are equal toeach other (Lesson 4)2 1 3 is equal to 5.213554 1 3 is equal to 3 1 4.4135314equation a number sentencewith an equal sign (Lesson 7)2145672255202GlossarySupport Coach: Home-School Connection24Duplicating any part of this book is prohibited by law. 2016 Triumph Learning, LLCReproducible page. 2016 Triumph Learning, LLCBreak apart 9.95613(Lessons 6, 15)5 1 3. Start at 5 and count on 3to find the sum. The sum is 8.20count on starting from anynumber and counting forwardto another number. Thismethod is used for addition.

false incorrect. An equationthat is false has different valueson both sides of the equal sign.more a greater amount(Lesson 13)(Lesson 9)2 1 2 5 3 is a false equation.fewer less than (Lesson 13)3 is fewer than 5.Duplicating any part of this book is prohibited by law. 2016 Triumph Learning, LLCReproducible page. 2016 Triumph Learning, LLCgreater than more than. Thesymbol means “greaterthan.” (Lesson 4)There are more red dots thangreen dots.part in an addition problem,the two numbers that are puttogether to make a whole(Lesson 12)9 is greater than 4.9 4There are 4 green apples and 2red apples in a bag. How manyapples are in the bag?less than fewer than. Thesymbol means “less than.”The two parts of the additionproblem are 4 and 2.(Lesson 4)3 is less than 8.3 84125shorter having less length(Lesson 5)longer having a greater length(Lesson 5)The row of blue cubes is shorterthan the row of red cubes.The row of red cubes is longerthan the row of blue cubes.subtract (subtraction) to findhow many are left (Lesson 7)Support Coach: Home-School Connection25203

take away to take a valuefrom a greater value (Lesson 12)ten frame a tool to keep trackof counting and making a ten(Lesson 1)true correct. An equation thatis true has the same value onboth sides of the equal sign.(Lesson 9)2 1 1 5 3 is a true equation.whole in an addition problem,the whole is the result of 2 partsbeing put together (Lesson 12)tens-ones table a table thatshows the value of the tensplace and the value of the onesplace (Lesson 1)ones23The whole of the additionproblem is 6.6541Duplicating any part of this book is prohibited by law. 2016 Triumph Learning, LLCReproducible page. 2016 Triumph Learning, LLCtensThere are 6 apples in a bag. 4of the apples are green and therest are red.204GlossarySupport Coach: Home-School Connection26

ANSWERSReproducible page. 2016 Triumph Learning, LLCLesson 1tensones18Support Coach: Home-School Connection27

Reproducible page. 2016 Triumph Learning, LLCLesson 212345678910111213141516171819202122 23 24 25 26 27 28 29 303132 33 34 35 36 37 38 39 404142 43 44 45 46 47 48 49 505152 53 54 55 56 57 58 59 606162 63 64 65 66 67 68 69 707172 73 74 75 76 77 78 79 808182 83 84 85 86 879192 93 94 95 96 97 98 99 100101 102 103 104 10511189 90107 108 109 110112 113 114 115 116 117 118 119 120Thestands for 88 .Thestands for 106.Support Coach: Home-School Connection28

Lesson 38 groups of 106 extra86in allLesson 4Answers will vary. Parent/guardian and the child choose numbersbetween 1 through 99 and compare.Reproducible page. 2016 Triumph Learning, LLCLesson 5Answers will vary. Parent/guardian and the child choosehousehold items that are 6 linking cubes long.Lesson 6Drawings will vary. Make sure that the total shown is 18. Look tosee that the child started with the greater number of 16, andcounted on 2, instead of starting with 2 and counting on 16.16 and 2 is 18 total.Support Coach: Home-School Connection29

Lesson 7Drawings will vary. Ensure that the child’s drawings show19 objects on both sides of the equal sign. Some expressionscould be: 4 15, 17 2, 18 1, and so on. Possible response:15 4 5 17 2 and that is true.Lesson 87 2599712Reproducible page. 2016 Triumph Learning, LLC927526 4 5 101061410 2 6 5 4Support Coach: Home-School Connection30

Lesson 9What is the first number you say?7What is the last number you say?10How many numbers did you say?4What number is missing from the equation?46 4 5 10Drawings or stories will vary. Make sure that the child counts onfrom 7 to get to 15.Reproducible page. 2016 Triumph Learning, LLC7 8 5 15Lesson 10Check that two different numbers are used and the correct sumis given. Below should be the same numbers in reverse order.Answers will vary. Sample answer below.4 3573 457Support Coach: Home-School Connection31

Lesson 11Part7PartWhole15715 157 1 8 5 1515 birdsReproducible page. 2016 Triumph Learning, LLCLesson 12Answers will vary but should be less than 15.Sample answer:5 ladybugs fly away.How many ladybugs are left? 17 2 5 5 12There are 12 ladybugs left.Support Coach: Home-School Connection32

Lesson 1314 2 9 514Ana9Eli514 2 9 5 5Ana read 5 more books than Eli.Lesson 14Reproducible page. 2016 Triumph Learning, LLC771111103115858518Support Coach: Home-School Connection33

Lesson 15Answers will vary depending on the numbers picked. Have childrendiscuss the method used and check their calculations as theyproceed through each step.Lesson 16I break apart the 7.3 and 4I subtract to get to the 10.Reproducible page. 2016 Triumph Learning, LLC13 2 3 5 10I subtract to find the answer.10 2 4 5 613 2 7 5 6Support Coach: Home-School Connection34

Lesson 177140 41 42 43 44 45 46 47 48 49 50 51 52 53 54 555078Possible responses: To show adding 8. To show the second number.51Reproducible page. 2016 Triumph Learning, LLC51Lesson 18Answers will vary, dependent on the number chosen by children.Support Coach: Home-School Connection35

Lesson 19Sample answer:90 2 30 5 60Lesson 20Possible answer: 47 1 50 5 97.Reproducible page. 2016 Triumph Learning, LLCI solved by adding the tens (4 1 5) to get 9, and then keeping the7 since there are no other ones being added.Support Coach: Home-School Connection36

We create a number bond: Solve the addition equation: 7 1 5 9 Solve the original subtraction equation: 9 2 7 5 Use addition to solve a subtraction equation. 10 2 6 5 Think about addition to solve: 6 1 5 10 Create a number bond: Solve the addition equation: 6 1 5 10 Solve the original subtraction equation: 10 2

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