Save this PDF as:

Size: px
Start display at page:

## Transcription

2

3 Survive Math 5 Part 1 Addition Survive Math 5 Addition and Subtraction i

4 This content is Copyright 2005 Open School BC, all rights reserved. Open School BC content and may neither be resold or distributed in whole or in part without permission from Open School BC, nor be transferred to other e-learning platforms or services without prior written permission from Open School BC. Print History New, April 2005 Corrected, November 2006 Project Manager: Eleanor Liddy Writer: Judy Hawkins and Margaret Stobie Editor: Cindy John Illustrator: Margaret Kernaghan Page Design: Janet Bartz Desktop Publisher: Beverly Hooks ii Addition and Subtraction + Survive Math 5

6 iv Addition and Subtraction + Survive Math 5

7 Survive Math Five Introduction The intent of this program is to assist you, the parent, in working with your child to develop a strong mathematical base of knowledge and to develop mathematic literacy. Many children arrive in Grade Five lacking, or are weak in, basic mathematic concepts and operations. Children need the freedom to explore and to develop reasoning and mathematic skills, and to be able to show and explain these skills to others. Also, children should understand that mathematics is not just simple rules; it should make sense, be logical, and enjoyable. To be successful in mathematics children must understand the how and why of each operation. A child s ability to reason is as valuable as her or his ability to find the correct answers. It is important for children to use manipulatives (concrete objects) to explore, develop, and apply mathematical concepts. Before children are allowed to use a calculator as a tool they should learn and understand the basic facts. The activities in this program are designed to engage your child s interest, develop a number sense, and learn the basic operations and concepts for: addition and subtraction multiplication and division common and decimal fractions problem solving At the completion of this program your child should be able to use the number operations appropriately and effectively. Survive Math 5 Addition and Subtraction v

9 There is little value in asking your child to do additional work on something she or he already knows. Additional materials needed for many lessons: Ruler to use as a number line Blank paper or chalkboard Playing cards Calculator Access to a computer Mathematics concepts are easier to understand if your child progresses from the concrete, to the pictorial, to numerals. It is important to provide your child with a selection of concrete materials. For example, you could use buttons, straws, pasta pieces. There is an old Chinese proverb that says: I hear and I forget I see and I remember I do and I understand Survive Math 5 Addition and Subtraction vii

10 Math Web Sites If any of the following Web sites are not working, use a search engine such as Google to find other appropriate sites. Resources and Ideas for Parents Math Games ugrace3.html viii Addition and Subtraction + Survive Math 5

11 m# Worksheet Web sites btract/mental/worksheet.shtml 000&oper=pl&nimin=1000&n2min=1000&pos=v&picurl=anima ls/seahorsel.gif k.html tm Flashcards Survive Math 5 Addition and Subtraction ix

12 Regrouping Questions and Answers Chisenbop doing basic arithmetic using your fingers Speed Drills x Addition and Subtraction + Survive Math 5

13 Welcome to Addition and Subtraction Part Place Value to 1000 Before you begin the addition and subtraction activities in this package, take time to make sure your child understands the underlying concepts of our number system. What You Need Practice Sheets Teaching Aids Place value mat Base 10 blocks Explain to your child that our numeral system is based on the Hindu-Arabic numerals, as they were developed and widely used by these cultures. Our number system is based on repeated groups of 10, called base 10. In the past, base 10 numbers were represented on a counting board or by the use of beads on an abacus. Later, base 10 numbers were represented on paper using numerals (written numbers). The numeral zero (0) was invented to stand for a place found on the counting board or abacus that held nothing (no object or bead). We call zero a place holder. For example, we read 408 as 8 ones, 0 (no) tens, 4 hundreds Survive Math 5 Addition and Subtraction 1

14 What is this? If you have ever played the game of checkers, you will recognize this is a checkerboard. Let s cut out one square, like this, and give it a value or BASE of ONE. From a base of one, cut out nine more squares and we will have a BASE of TEN! Imagine laying ten of these strips together, side by side, like this. Now you have a base of count them a BASE of ONE HUNDRED! What would result if we glued all those strips together and made a sheet with a base of 100 and stacked ten of those sheets one on top of the other, as shown? We would now have a base of ( ) or (10 x 100) which would be a BASE of ONE THOUSAND! 2 Addition and Subtraction + Survive Math 5

15 1 To save space, let s put our ten sheets into a more compact size. It still represents a BASE of 1000 it is just reduced in size. We can shrink it more and again, so it becomes a smaller version of a BASE of Now, in a much smaller space, we can work with some very large numbers! For instance, look at the following operation Organized in a different way, a BASE of could also look like this. In the following diagram, we have taken the base and stacked these units into a tower which has 10 floors or, 10 layers of base Now, what BASE can you calculate? (note the addition at the far right) BASE of Survive Math 5 Addition and Subtraction 3

17 Base Ten Blocks 1000 cubes 100 cubes 10 cubes 1 cube 1 Parent Script: This chart shows how you use base 10 blocks to represent and show you understand the place value of numbers to one thousand. Can you read the numbers shown by the following base 10 blocks? Use the chart above if you need to Survive Math 5 Addition and Subtraction 5

20 2 Place Value to What You Need Practice Sheets Teaching Aids Place value mat Base 10 blocks Blank paper or chalkboard Each lesson usually begins with an activity that reviews skills and/or concepts taught in previous lessons. Warm-Up To begin today s lesson, take out the 2 Practice Sheet and ask your child to complete the Warm-Up activity. When he or she is finished, mark the work with your child. The Answer Key is at the back of this book. Exploring the Topic Begin the lesson by asking: Why do you think our number system uses a base of 10? Why not five or twenty? If your child has difficulty making a guess, prompt your child to the answer, We have ten fingers. Our fingers were probably man s first counting tools. Show your child the abacus. ten thousands one thousands hundreds tens ones 8 Addition and Subtraction + Survive Math 5

23 3 Place Value to s 3 Your child learned in an earlier lesson that when you work with higher numbers it is difficult to show every item represented. As he or she develops an understanding of place value, it also becomes unnecessary. In this lesson continue to use abacus drawings as they are an excellent model for representing higher numbers. What You Need Practice Sheets Teaching Aids Four blank abacuses with a hundred thousands pole Warm-Up Today s Warm-up reviews place value to ten thousands. Ask your child to take out the 3 Practice Sheet. Make sure he or she understands the directions before answering the questions independently. The answers are in the Answer Key. Exploring the Topic Parent Script: Let s look at this abacus. A new pole has been added. ten thousands one thousands hundreds tens ones What number do you think beads on this pole would represent? (hundred thousands) Good for you! Survive Math 5 Addition and Subtraction 11

27 Now skip count back from one hundred by twos. Stop when you get to fifty. Way to go! You can look at the hundreds chart to count backward from some larger numbers. You just change the hundreds. Count backward by twos from four hundred seventy-six to four hundred fifty. Now count backwards by fives from eight hundred fiftyfive to eight hundred twenty-five. Good job! 4 If your child has difficulty, ask your child to count backwards using the hundreds chart below. Then provide your child with both more oral and written practice. See the example for written practice below. Don t move on in this lesson until your child feels comfortable counting back at this level Survive Math 5 Addition and Subtraction 15

31 Parent Script: When you compare numbers to see which is greater, you compare the digits with the most value. Look at the weights of the two cars. Which digit in both weights has the most value? (2) Good. You can use these steps when you compare any two numbers. We ll compare the weights of the two cars. 1. Begin with the thousands digits The thousands digits are both 2 so you move to the hundreds digits and compare them The hundreds digit in the second number is greater, so 2108 is the greater number. Do you remember the signs that are used to show greater than or less than? 5 If your child can t remember, show your child these two signs. > means greater than < means less than Comparisons can also be made using the words. Ask your child to read each written comparison and then add the correct sign to each of the two sets of numbers below is less than is greater than Survive Math 5 Addition and Subtraction 19

32 Now have your child place the correct sign (> or <) in the space between each pair of the numbers that follow. Your child should follow the steps above. Have your child tell you what he or she is doing If your child has difficulty, walk through the steps again, using examples such as those above. Be sure he or she understands greater than/less than before you move on. Ordering Numbers Explain to your child that ordering numbers simply means arranging numbers in order. He or she can order numbers from least to greatest or greatest to least. Parent Script: When you order numbers from least to greatest, you must first see how many digits each number has. Look at this example > 999 Count the digits in each number. You can see that because there are no thousands in the second number, it is less than This was easy because you just had to compare the thousands digits to solve the question. Look at this example > Addition and Subtraction + Survive Math 5

35 6 Number Words Expanded Notation 6 What You Need Practice Sheets Teaching Aids Base 10 blocks Place value mat Blank paper or chalkboard Warm-Up To begin today s lesson, take out the 6 Practice Sheet and ask your child to complete the Warm-Up activity. When he or she is finished, mark and correct the work with your child. The Answer Key is at the back of this book. Exploring the Topic Today your child will review number words and expanded notation. If your child needs more practice to master either of these skills or the spelling of the number words, allow your child the necessary time needed. You may need to take more than one session to complete all the activities in this lesson. Parent Script: There are many ways that numbers can be represented. For example, if there are 6732 people living in a small town, the population can be shown by all of these forms. 1. Using base 10 blocks as models 2. Standard Form Expanded Form Survive Math 5 Addition and Subtraction 23

36 4. Words that represent the number 6732 = six thousand seven hundred thirty two 6 Today we are going to write words for numbers and then write numbers in expanded form. When we write numbers using words there are several rules to remember. I would like you to read these rules to me. 1. Do not use commas to separate the digits or the words. 2. Do not use the word and in the number. 3. Numbers such as 32 and 57 are written with a hyphen between each word. For example, thirty-two, fifty-seven 4. When zeroes are used as place holders they do not appear in the written form For example, 702 is written seven hundred two. is written 236 or two hundred thirty-six is written 2403 or two thousand four hundred three is written 3040 or three thousand forty Note where the zeros are placed. 24 Addition Math and 5 Subtraction Addition + and Survive Subtraction Math 5 24

37 You may wish to put these rules in a prominent place for your child to refer to. 6 Point to the following examples. Examples: three thousand two hundred forty-three Ask your child to tell you each number that is represented. Survive Math 5 Addition and Subtraction 25

39 Parent Script: Writing out numbers to show their full value is called expanded notation. Let s look at these examples. Three s is the same as (3x ) or Four s is the same as (4x10 000) or Three 1 000s is the same as (3x1000) or 3000 Two 100s is the same as (2x100) or 200 Nine 10s is the same as (9x10) or 90 Eight 1s is the same as (8x10) or 8 You would write the expanded form of this number this way: = 8 Can you tell me what the number is? Sometimes people refer to expanded form as expanded notation. If we had to write out numbers like this all the time it would take too long, so we usually write numbers in standard form. The standard form of this number is Direct your child s attention to the following examples Survive Math 5 Addition and Subtraction 27

42 7 Rounding Numbers 7 What You Need Practice Sheets Blank paper or chalkboard Warm-Up To begin today s lesson, take out the 7 Practice Sheet and ask your child to complete the Warm-Up activity. When he or she is finished, mark the work with your child. Exploring the Topic Parent Script: Sometimes when we use large numbers we do not always need to know the exact amount. Sometimes we can estimate what the number or the amount will be. When you estimate you mentally round off numbers to the nearest multiple of 10, 100, 1000 or You can use rounded numbers (or estimates) in everyday life situations. For example: John went on a biking tour with his family. The number lines below tell you the distance they cycled each day. The number below each bike shows how far he went each day. Under each distance is the rounded number. John might use this rounded number if someone asked about how far he went each day. 30 Addition and Subtraction + Survive Math 5 30

44 Ask your child to look at the distance John rode on Wednesday. Wednesday km Ask: How far did John ride on Wednesday? Where does 145 lie between 140 and 150? (halfway) Do you think we would round 145 down to 140 or up to 150? (up) 145 will be rounded up to 150 because numbers that end in 5 are always rounded up. Read the following rules to your child. The Rules Look to the digit to the right of the place to which the number is to be rounded. If the number is greater than 5 round up the next higher number. If the number is 5 (exactly half way) round up to the next higher number. If the number is less than 5 round down to the lower number. This rule applies to all multiples of 10. (10 s 100 s, 100 s, 1000 s) Here are some examples: If a number is 50 or greater round up to the next 10. If a number is 500 or greater round up to the next 100. If a number is 5000 or greater round up to the next Addition and Subtraction + Survive Math 5

45 Note: When you round to the nearest 10 you have 0 in the ones place. 7 When you round to the nearest 100 you have 0 in the ones and tens place. When you round to the nearest 1000 you have 0 in the ones, tens, and hundreds place. Ask your child to round these numbers to the nearest 10 or 100. Make sure your child understands why he or she is rounding the numbers up or down Now ask your child to round these numbers to the nearest If your child finds rounding numbers difficult, remind your child of the rounding rules. Give your child as many examples as needed to master this concept. Survive Math 5 Addition and Subtraction 33

49 Pre-Test Basic Addition Facts to Eighteen Part A (These skills are covered in s 9 and 10.) Answer the following questions as quickly as possible. This is not a timed test = = = = = = = = = = = = = = = = = = = = = = = = = Adding Zeroes Find the answers to these equations. Do all the work in your head. Example: = = = = = = Survive Math 5 Addition and Subtraction Pre-Test 37

50 Part B Breaking Numbers Apart (These skills are covered in s 11 and 12.) Example: =? = 96 Take the 3 away, then add = 99 Add the 3 back onto the number = 99 Break the number apart, then add. Write the answers on the lines. Show your work = = = = = Friendly Numbers Example: = = Write the friendly numbers to 100. a = Pre-Test Addition and Subtraction + Survive Math 5

51 b = 100 c. 0 + = 100 d = 100 e = Write the friendly numbers to a = 1000 b = 1000 c = 1000 d = 1000 e = 1000 Part C Adding 2- and 3-digit Numbers Without Regrouping (These skills are covered in s 13, 14 and 15.) Example: Line up the digits, then find the answers to these equations. Show your work. a = b = c = d = e = Survive Math 5 Addition and Subtraction Pre-Test 39

52 2. Find the sum. Example: Find the answers to the following questions. Example: a b c d e Pre-Test Addition and Subtraction + Survive Math 5

53 Part D Adding 2- and 3-digit Numbers With Regrouping (These skills are covered in s 17, 18, 19 and 20.) 1. Complete each question by adding 10 ones for 1 ten. Remember to show your carrying figures. 1 Example: a. 463 b. \$523 c d. 555 e. \$ Complete each question by trading 10 ones for 1 ten and 10 tens for 1 one hundred. 1 1 Example: a. 378 b. 456 c d. 539 e Survive Math 5 Addition and Subtraction Pre-Test 41

54 3. Complete each equation by trading 10 ones for 1 ten, 10 tens for 1 one hundred and 10 one hundreds for one thousand Example: a b c d e. \$ Pre-Test Addition and Subtraction + Survive Math 5

56 Timed Tests Your child can either say or write the answers to these timed tests Draw a clock face on a sheet of paper or on a chalkboard. Randomly scatter the numbers from 1-12 around the clock face. In the center of the clock write a number, such as, + 6. Explain to your child that he or she has three minutes to add this number to each of the numbers around the clock On a sheet of paper or on a chalkboard write ten to twenty basic facts equations. Give your child two or three minutes to write the answers. You can shorten the length of time as your child masters the basic number facts. 44 Addition and Subtraction + Survive Math 5

58 If your child has difficulty answering these questions on the Practice Sheet, you may have to give him or her extra practice examples using concrete objects before he or she attempts to complete this activity independently. 9 When your child has completed this section, mark his or her work. Help your child to complete any needed corrections. From the work your child completes you should be able to assess how much practice he or she needs to recall these basic number facts to eighteen automatically. + There will not be a Challenge Yourself activity in today s lesson. 46 Addition and Subtraction + Survive Math 5

60 =? c = / * = 0 10 Write the following example on a sheet of paper or on the chalkboard = Parent Script: You could rewrite the equation using a place value mat or write it in columns then add up each of the columns but that can be a waste of time. You can do the question more easily. There are two steps! First you add up all the hundreds = 500 Now add whatever remains to the = 590 You didn t even need a pencil to solve the question, did you? 48 Addition and Subtraction + Survive Math 5

### Version 01 7540004662. Part 1 Multiplication

Version 01 7540004662 Part 1 Multiplication Part 1 Multiplication Multiplication and Division i This content is Copyright 2005 Open School BC, all rights reserved. Open School BC content and may neither

### Tasks to Move Students On

Maths for Learning Inclusion Tasks to Move Students On Part 1 Maths for Learning Inclusion (M4LI) Tasks to Move Students On Numbers 1 10 Structuring Number Maths for Learning Inclusion (M4LI) Tasks to

### Mental Math Addition and Subtraction

Mental Math Addition and Subtraction If any of your students don t know their addition and subtraction facts, teach them to add and subtract using their fingers by the methods taught below. You should

### Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction

Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction Introduction In this unit, students will review place value to 1,000,000 and understand the relative sizes of numbers in

### MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions

MATHEMATICS Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions Paper, pencil, ruler Fraction cards Calculator Equipment MathSphere 6365 Round decimals. Equivalence between fractions

### 3 + 7 1 2. 6 2 + 1. 7 0. 1 200 and 30 100 100 10 10 10. Maths in School. Addition in School. by Kate Robinson

1 2. 6 2 + 1. 7 0 10 3 + 7 1 4. 3 2 1 231 200 and 30 100 100 10 10 10 Maths in School Addition in School by Kate Robinson 2 Addition in School Contents Introduction p.3 Adding in everyday life p.3 Coat

### Place Value of Whole Numbers Through One Million

Place Value of Whole Numbers Through One Million Brief Overview: This learning unit develops and reviews place value concepts through millions. It involves the utilization of manipulatives. The lessons

### What Is Singapore Math?

What Is Singapore Math? You may be wondering what Singapore Math is all about, and with good reason. This is a totally new kind of math for you and your child. What you may not know is that Singapore has

### Permission is given for the making of copies for use in the home or classroom of the purchaser only.

Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play

### Unit 6 Number and Operations in Base Ten: Decimals

Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,

### Contents. Remember boxes and speech bubbles Important key points and tips. Special Features of Start Up Mathematics 3-5

Contents 1. Numbers Beyond 999 1 2. Roman Numerals 23 3. Addition 26 Assessment Sheet 1 37 4. Subtraction 38 5. Multiplication 50 6. Division 69 Assessment Sheet 2 84 Let s Review 1 85 7. Fractions 87

### Primes. Name Period Number Theory

Primes Name Period A Prime Number is a whole number whose only factors are 1 and itself. To find all of the prime numbers between 1 and 100, complete the following exercise: 1. Cross out 1 by Shading in

### PROGRESSION THROUGH CALCULATIONS FOR SUBTRACTION

PROGRESSION THROUGH CALCULATIONS FOR SUBTRACTION By the end of year 6, children will have a range of calculation methods, mental and written. Selection will depend upon the numbers involved. Children should

T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and real-world situations. [PREREQUISITE SKILLS] addition and subtraction

### + Addition + Tips for mental / oral session 1 Early addition. Combining groups of objects to find the total. Then adding on to a set, one by one

+ Addition + We encourage children to use mental methods whenever possible Children may not need to be taught every step STEP Tips for mental / oral session Counting Concept & images Comments Early addition

### for the Bill Hanlon bill@hanlonmath.com

Strategies for Learning the Math Facts Bill Hanlon bill@hanlonmath.com The more sophisticated mental operations in mathematics of analysis, synthesis, and evaluation are impossible without rapid and accurate

### Count back in ones on a numbered number line to take away, with numbers up to 20

SUBTRACTION Stage 1 Subtract from numbers up to 20 Children consolidate understanding of subtraction practically, showing subtraction on bead strings, using cubes etc. and in familiar contexts, and are

### Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

.2 Methods of Addition Objectives Relate addition stories to number bonds. Write two addition facts for a given number bond. Solve picture problems using addition. Learn addition facts through, and the

### Whole Numbers. hundred ten one

Whole Numbers WHOLE NUMBERS: WRITING, ROUNDING The digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The natural numbers (counting numbers) are 1, 2, 3, 4, 5, and so on. The whole numbers are 0, 1, 2, 3, 4,

### Base-Ten and Place Value

1 Base-Ten and Place Value Jumping Jelly Beans Hundred Board-O Order Up! Number Neighborhood Stretching Numbers Place Value Pause Place Value Bingo 1 2 BRAIN-COMPATIBLE ACTIVITIES FOR MATHEMATICS, GRADES

Page 2 Introduction Holy Trinity C.E. (C) Primary School Addition How is your child taught to add? Mathematics is all around us; it underpins much of our daily lives and our futures as individuals and

### RACE TO CLEAR THE MAT

RACE TO CLEAR THE MAT NUMBER Place Value Counting Addition Subtraction Getting Ready What You ll Need Base Ten Blocks, 1 set per group Base Ten Blocks Place-Value Mat, 1 per child Number cubes marked 1

### 2 Mathematics Curriculum

New York State Common Core 2 Mathematics Curriculum GRADE GRADE 2 MODULE 3 Topic E: Model Numbers Within 1000 with Place Value Disks 2.NBT.A Focus Standard: 2.NBT.A Understand place value. Instructional

Grade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade Texas Essential Knowledge and Skills (TEKS): (1.3) Number, operation and quantitative reasoning. The student recognizes

### The Crescent Primary School Calculation Policy

The Crescent Primary School Calculation Policy Examples of calculation methods for each year group and the progression between each method. January 2015 Our Calculation Policy This calculation policy has

### Math vocabulary can be taught with what Montessorians call the Three Period Lesson.

Full Transcript of: Montessori Mathematics Materials Presentations Introduction to Montessori Math Demonstrations ( Disclaimer) This program is intended to give the viewers a general understanding of the

### Using games to support. Win-Win Math Games. by Marilyn Burns

4 Win-Win Math Games by Marilyn Burns photos: bob adler Games can motivate students, capture their interest, and are a great way to get in that paperand-pencil practice. Using games to support students

### 100 40 5 4 = 149. how many left? what s the difference? 5 60 80 4 = 149. take away. Maths in School. minus. Subtraction in School.

100 40 5 4 = 149 0 635 735 775 780 784 1000 8 5 2 1 5 3 how many left? what s the difference? 5 60 80 4 = 149 take away 0 635 640 700 780 784 1000 Maths in School minus Subtraction in School by Kate Robinson

### Wigan LEA Numeracy Centre. Year 6 Mental Arithmetic Tests. Block 1

Wigan LEA Numeracy Centre Year 6 Mental Arithmetic Tests Block 1 6 Produced by Wigan Numeracy Centre July 2001 Year Six Mental Arithmetic Test 1 (5 seconds response time) 1. Write the number three hundred

Table of Contents Introduction to Acing Math page 5 Card Sort (Grades K - 3) page 8 Greater or Less Than (Grades K - 3) page 9 Number Battle (Grades K - 3) page 10 Place Value Number Battle (Grades 1-6)

Math Board Games For School or Home Education by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser

### Simply Math. Everyday Math Skills NWT Literacy Council

Simply Math Everyday Math Skills 2009 NWT Literacy Council Acknowledgement The NWT Literacy Council gratefully acknowledges the financial assistance for this project from the Department of Education, Culture

### 1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH Calendar The following tables show the CCSS focus of The Meeting activities, which appear at the beginning of each numbered lesson and are taught daily,

### Mental Math. Fact Learning Mental Computation Estimation. Grade 4 Teacher s Guide

Mental Math Fact Learning Mental Computation Estimation Grade 4 Teacher s Guide båöäáëü=mêçöê~ãë ml=_çñ=ommm `Ü~êäçííÉíçïåI=mb=`N^=TkU qéäw=evmof=psu=qsmm c~ñw=evmof=psu=qsoo ïïïköçîkéékå~léçì 2007 Table

### Subtraction. Year 1 subtract from numbers up to 20

Year 1 subtract from up to 20 Children are encouraged to develop a mental picture of the number system in their heads to use for calculation. They develop ways of recording calculations using pictures,

### Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction

Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction Introduction In this unit, students will review the place value system for reading and writing numbers in base ten. Students

### MAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL

MAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL THESE FUN MATH GAME PRINTABLES are brought to you with compliments from Making Math More Fun at and Math Board Games at Copyright

### Part 3. Number and Operations in Base Ten

Part 3 Number and Operations in Base Ten Number and Operations in Base Ten Domain Overview KINDERGARTEN The work in kindergarten forms the foundation for students to develop an understanding of the base

### Mathematics Navigator. Misconceptions and Errors

Mathematics Navigator Misconceptions and Errors Introduction In this Guide Misconceptions and errors are addressed as follows: Place Value... 1 Addition and Subtraction... 4 Multiplication and Division...

### Maths Calculation Booklet for parents

Maths Calculation Booklet for parents INTRODUCTION This booklet is intended to explain the ways in which your children are taught to write down their calculations. We have revised the school calculation

### A Concrete Introduction. to the Abstract Concepts. of Integers and Algebra using Algebra Tiles

A Concrete Introduction to the Abstract Concepts of Integers and Algebra using Algebra Tiles Table of Contents Introduction... 1 page Integers 1: Introduction to Integers... 3 2: Working with Algebra Tiles...

### Developing Base Ten Understanding: Working with Tens, The Difference Between Numbers, Doubling, Tripling, Splitting, Sharing & Scaling Up

Developing Base Ten Understanding: Working with Tens, The Difference Between Numbers, Doubling, Tripling, Splitting, Sharing & Scaling Up James Brickwedde Project for Elementary Mathematics jbrickwedde@ties2.net

### Addition Methods. Methods Jottings Expanded Compact Examples 8 + 7 = 15

Addition Methods Methods Jottings Expanded Compact Examples 8 + 7 = 15 48 + 36 = 84 or: Write the numbers in columns. Adding the tens first: 47 + 76 110 13 123 Adding the units first: 47 + 76 13 110 123

### Problem Solving. Version 01 7540004664

Problem Solving Version 01 7540004664 Survive Math 5 Problem Solving Survive Math 5 Problem Solving This content is Copyright 2006 Open School BC, all rights reserved. Open School BC content and may neither

### Mental Math Mental Computation Grade 5

Mental Math Mental Computation Grade 5 Draft September 2006 Acknowledgements The Department of Education gratefully acknowledges the contributions of the following individuals to the preparation of the

### Unit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.

Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

### Lesson/Unit Plan Name: Multiplication Facts Made Easy

Grade Level/Course: Grades 3-6 Lesson/Unit Plan Name: Multiplication Facts Made Easy Rationale/Lesson Abstract: Teachers can eliminate the stress associated with developing fluency with multiplication

### Mental Math Mental Computation Grade 2

Mental Math Mental Computation Grade 2 Draft September 2006 Acknowledgements The Department of Education gratefully acknowledges the contributions of the following individuals to the preparation of the

### Introduction to Whole Numbers

Section 1.1 PRE-ACTIVITY PREPARATION Introduction to Whole Numbers Annette has just landed a terrific job as a middle school teacher. Instead of renting an apartment, she decides to buy a small condominium.

### Year 1. Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on.

Year 1 Add with numbers up to 20 Use numbered number lines to add, by counting on in ones. Encourage children to start with the larger number and count on. +1 +1 +1 Children should: Have access to a wide

### OA3-10 Patterns in Addition Tables

OA3-10 Patterns in Addition Tables Pages 60 63 Standards: 3.OA.D.9 Goals: Students will identify and describe various patterns in addition tables. Prior Knowledge Required: Can add two numbers within 20

### First Grade Exploring Two-Digit Numbers

First Grade Exploring Two-Digit Numbers http://focusonmath.files.wordpress.com/2011/02/screen-shot-2011-02-17-at-3-10-19-pm.png North Carolina Department of Public Instruction www.ncdpi.wikispaces.net

### Teen Board, Tens Board

Teen Board, Tens Board Print the file for the activity you want: Teen Board - teenbd.pdf, Ten Board - tenbd.pdf. Teen Board Presentation: 1. Lay out the cards as shown in Figure 1, either on the child

### Mental Math Mental Computation Grade 3

Mental Math Mental Computation Grade 3 Draft September 2006 Acknowledgements The Department of Education gratefully acknowledges the contributions of the following individuals to the preparation of the

### NBT4-1 Place Value Ones, Tens, Hundreds, Page 24

NBT4-1 Place Value Ones, Tens, Hundreds, Page 24 and Thousands STANDARDS 4.NBT.A.2 Goals Students will identify the place value of digits in 2-, 3-, and 4-digit numbers. Vocabulary hundreds ones place

### Topic 1: Understanding Addition and Subtraction

Topic 1: Understanding Addition and Subtraction 1-1: Writing Addition Number Sentences Essential Understanding: Parts of a whole is one representation of addition. Addition number sentences can be used

### Montessori Mathematics Curriculum

1 Montessori Mathematics Curriculum Presentations on Preparation for Math One-to-One Correspondence Books Counting Songs 3 Little Speckled Frogs Sorting/Classification Sequence/Patterns Do As I Do Sequence/Seriation

### CONNECT: Ways of writing numbers

CONNECT: Ways of writing numbers SCIENTIFIC NOTATION; SIGNIFICANT FIGURES; DECIMAL PLACES First, a short review of our Decimal (Base 10) System. This system is so efficient that we can use it to write

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### 2 Mathematics Curriculum

New York State Common Core 2 Mathematics Curriculum GRADE GRADE 2 MODULE 3 Topic G: Use Place Value Understanding to Find 1, 10, and 100 More or Less than a Number 2.NBT.2, 2.NBT.8, 2.OA.1 Focus Standard:

### RightStart C Learning Materials: Learning Goals/Performance Objectives:

RightStart C Class Description: The philosophy behind RightStart Math is that 95% of what students learn in math should be understood, and only 5% memorized. Visualization tools, games, the abacus, and

### 1 Mathematics Curriculum

New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic F Development of Addition Fluency Within 10 1.OA.3, 1.OA.6 Focus Standard: 1.OA.3 Apply properties of operations as

### NUMBERS AND THE NUMBER SYSTEM

NUMBERS AND THE NUMBER SYSTEM Pupils should be taught to: Know the number names and recite them in order, from and back to zero As outcomes, Year 1 pupils should, for example: Join in rhymes like: One,

### RIGHTSTART FRACTIONS. Lessons. Learn Fractions in 42 Days. Activities for Learning, Inc. based on the work of Joan A. Cotter, Ph.D.

RIGHTSTART FRACTIONS Learn Fractions in 4 Days based on the work of Joan A. Cotter, Ph.D. Lessons Activities for Learning, Inc. i INTRODUCTION This book is based on fractions lessons, activities, and

### A set of maths games provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare necessities in maths

A set of maths games provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare necessities in maths skills that children will need to be confident with

### Polynomials and Factoring. Unit Lesson Plan

Polynomials and Factoring Unit Lesson Plan By: David Harris University of North Carolina Chapel Hill Math 410 Dr. Thomas, M D. 2 Abstract This paper will discuss, and give, lesson plans for all the topics

### Fractions to decimals

Worksheet.4 Fractions and Decimals Section Fractions to decimals The most common method of converting fractions to decimals is to use a calculator. A fraction represents a division so is another way of

Third Grade Math Games Unit 1 Lesson Less than You! 1.3 Addition Top-It 1.4 Name That Number 1.6 Beat the Calculator (Addition) 1.8 Buyer & Vendor Game 1.9 Tic-Tac-Toe Addition 1.11 Unit 2 What s My Rule?

### A set of maths games based on ideas provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare

A set of maths games based on ideas provided by the Wiltshire Primary Maths Team. These can be used at home as a fun way of practising the bare necessities in maths skills that children will need to be

### NS5-38 Remainders and NS5-39 Dividing with Remainders

:1 PAGE 89-90 NS5-38 Remainders and NS5-39 Dividing with Remainders GOALS Students will divide with remainders using pictures, number lines and skip counting. Draw: 6 3 = 2 7 3 = 2 Remainder 1 8 3 = 2

### NCTM Content Standard/National Science Education Standard

Title: BASE-ic Space Travel Brief Overview: This unit introduces the concepts of bases and exponents (or powers) in order to gain a deeper understanding of place value. Students will assume the role of

### Representing and Renaming Whole Numbers

Module 3 Representing and Renaming Whole Numbers Diagnostic...3 Representing Numbers to 10 000...7 Renaming Numbers to 10 000...15 Representing Numbers to 100 000...20 Renaming Numbers to 100 000...26

### BISHOP SCHOOL K 5 MATH FACTS GUIDE

BISHOP SCHOOL K 5 MATH FACTS GUIDE INTRODUCTION This math fact guide is an outcome of several math related discussions among the staff. There is an agreement that the children need to know their math facts

### Basic Facts INTENSIVE INTERVENTION. National Center on. at American Institutes for Research

National Center on INTENSIVE INTERVENTION at American Institutes for Research Basic Facts 1000 Thomas Jefferson Street, NW Washington, DC 20007 E-mail: NCII@air.org While permission to reprint this publication

### EASTER REVISION 10 4 10

KS2 Mathematics EASTER REVISION 10 MINUTES A DAY FOR 10 DAYS Very soon after your Easter holidays you will be sitting your KS2 SATs. You have been working very hard in your lessons, to achieve your best

### Multiplication. Year 1 multiply with concrete objects, arrays and pictorial representations

Year 1 multiply with concrete objects, arrays and pictorial representations Children will experience equal groups of objects and will count in 2s and 10s and begin to count in 5s. They will work on practical

### Three approaches to one-place addition and subtraction: Counting strategies, memorized facts, and thinking tools. Liping Ma

Three approaches to one-place addition and subtraction: Counting strategies, memorized facts, and thinking tools Liping Ma In many countries, the first significant chunk of elementary mathematics is the

### USING ALGEBRA TILES EFFECTIVELY

MATHEMATICS USING ALGEBRA TILES EFFECTIVELY TOOLS FOR UNDERSTANDING by Bettye C. Hall Reviewers James Gates, Ed.D. Yvonne S. Gentzler, Ph.D. AUTHOR Bettye C. Hall is the former Director of Mathematics

### Unit 5 Length. Year 4. Five daily lessons. Autumn term Unit Objectives. Link Objectives

Unit 5 Length Five daily lessons Year 4 Autumn term Unit Objectives Year 4 Suggest suitable units and measuring equipment to Page 92 estimate or measure length. Use read and write standard metric units

### Calculation strategies for subtraction

Calculation strategies for subtraction 1 Year 1 Subtract numbers up to 20. Children are encouraged to develop a mental picture of the number system in their heads to use for calculation. They develop ways

### FIRST GRADE Number and Number Sense

FIRST GRADE Number and Number Sense Hundred Chart Puzzle Reporting Category Number and Number Sense Topic Count and write numerals to 100 Primary SOL 1.1 The student will a) count from 0 to 100 and write

### 2 Mathematics Curriculum

New York State Common Core 2 Mathematics Curriculum G R A D E GRADE 2 MODULE 1 Topic C Strategies for Addition and Subtraction Within 100 2.OA.1, 2.NBT.5, 2.OA.2, 1.NBT.4, 1.NBT.5, 1.NBT.6 Focus Standard:

### Estimating/ Rounding

Estimating/ Rounding UStandard: 3.A.1.1 UConcept Skill: UEstimating/Rounding To estimate means to find an answer that is close to an exact amount. To round means to find about how many or how much by expressing

### Subtraction Year 1 6 2 = 4

Subtraction Year 1 Key Vocabulary Key skills for subtraction at Y1: Given a number, say one more or one less. Count to and over 100, forward and back, from any number. Represent and use subtraction facts

### Place Value and Rounding

4.1 Place Value and Rounding 4.1 OBJECTIVES 1. Identify place value in a decimal fraction 2. Write a decimal in words 3. Write a decimal as a fraction or mixed number 4. Compare the size of several decimals

### Foundation 2 Games Booklet

MCS Family Maths Night 27 th August 2014 Foundation 2 Games Booklet Stage Focus: Trusting the Count Place Value How are games used in a classroom context? Strategically selected games have become a fantastic

by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. SAMPLE PAGES Please enjoy using these

### Topic: 1 - Understanding Addition and Subtraction

8 days / September Topic: 1 - Understanding Addition and Subtraction Represent and solve problems involving addition and subtraction. 2.OA.1. Use addition and subtraction within 100 to solve one- and two-step

### 2 Mathematics Curriculum

New York State Common Core 2 Mathematics Curriculum G R A D E GRADE 2 MODULE 1 Topic C Strategies for Addition and Subtraction Within 100 2.OA.1, 2.NBT.5, 2.OA.2, 1.NBT.4, 1.NBT.5, 1.NBT.6 Focus Standard:

### Exercise 4. Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers)

Exercise 4 Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers) At the end of this exercise you will: Be able to convert numbers to the written

### SQUARE-SQUARE ROOT AND CUBE-CUBE ROOT

UNIT 3 SQUAREQUARE AND CUBEUBE (A) Main Concepts and Results A natural number is called a perfect square if it is the square of some natural number. i.e., if m = n 2, then m is a perfect square where m

### Math Games For Skills and Concepts

Math Games p.1 Math Games For Skills and Concepts Original material 2001-2006, John Golden, GVSU permission granted for educational use Other material copyright: Investigations in Number, Data and Space,

### PLANNING A BUDGET. Income, needs vs. wants, budgets, simple interest, savings accounts, paying yourself first

Grades 6-8 Lesson 3 PLANNING A BUDGET Key concepts: Income, needs vs. wants, budgets, simple interest, savings accounts, paying yourself first Summary: This lesson reviews trade-offs and priorities in

### Second Grade Math Standards and I Can Statements

Second Grade Math Standards and I Can Statements Standard CC.2.OA.1 Use addition and subtraction within 100 to solve one and two-step word problems involving situations of adding to, taking from, putting

### NF5-12 Flexibility with Equivalent Fractions and Pages 110 112

NF5- Flexibility with Equivalent Fractions and Pages 0 Lowest Terms STANDARDS preparation for 5.NF.A., 5.NF.A. Goals Students will equivalent fractions using division and reduce fractions to lowest terms.

### Section 1.5 Arithmetic in Other Bases

Section Arithmetic in Other Bases Arithmetic in Other Bases The operations of addition, subtraction, multiplication and division are defined for counting numbers independent of the system of numeration