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1 Algorithm Project U.S. Traditional Objective To introduce U.S. traditional subtraction. etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Doing the Project Recommended Use After Lesson Key Concepts and Skills Identify places in whole numbers and the values of the digits in those places. [Number and Numeration Goal ] Use subtraction facts to find differences of multidigit whole numbers. [Operations and Computation Goal ] Subtract multidigit numbers. [Operations and Computation Goal ] Write and solve subtraction number stories. [Operations and Computation Goal ] Key Activities Children explore and practice U.S. traditional subtraction with multidigit whole numbers. Key Vocabulary U.S. traditional subtraction Extending the Project Mathematical Practices SMP, SMP, SMP, SMP, SMP, SMP, SMP Content Standards.OA.,.NBT. Materials Math Journal or, pp. P P Student Reference Book, p. B \$, \$, \$ bills (Math Masters, pp. ; optional) base blocks (optional) Children solve multidigit subtraction problems, first using the focus algorithm (tradefirst subtraction) and then using any algorithm they choose. Materials Online Additional Practice, pp. A D Student Reference Book, pp. and B Algorithm Project A

2 Date U.S. Traditional Algorithm Project to show your estimate. Use any strategy to solve the problem. Sample answer: =. Ballpark estimate: In one year, the pet store sold guppies and goldfish. How many more guppies were sold? guppies Use U.S. traditional subtraction to solve each problem.. Ballpark estimate: =. Ballpark estimate: = Doing the Project Solving a Problem (Math Journal, p. P) INDEPENDENT Ask children to solve Problem on journal page P. Tell them they may use base blocks, play money, paper and pencil, or any other tools they wish, except calculators.. Ballpark estimate: = Math Journal, p. P EMcuMJ_G_PP_P.indd. Ballpark estimate: = = // : PM Discussing Solutions (Math Journal, p. P) WHOLECLASS Discuss children s solutions to Problem on journal page P. = guppies Expect that children will use several different methods, which may include modeling with base blocks or other manipulatives, applying various paperandpencil methods such as counting up, and using tradefirst subtraction. Some children may also use U.S. traditional subtraction. Possible strategies: Modeling with base blocks Show with hundreds, tens, and ones. Trade hundred for tens. Trade ten for ones. Subtract by removing hundreds, tens, and ones. ( hundred, tens, and ones) remains. A Algorithm Project U.S. Traditional

3 Counting up = + = + = + = + = = = Using tradefirst subtraction Using U.S. traditional subtraction NOTE Tradefirst subtraction resembles U.S. traditional subtraction, except that in tradefirst subtraction, as the name implies, all the trading is done before any subtractions are carried out, allowing the person to concentrate on one task at a time. Introducing U.S. Traditional WHOLECLASS After you have discussed children s solutions, and even if one or more children used U.S. traditional subtraction, demonstrate it again as described below. Example : Step : Start with the s. Since >, you need to regroup. Trade ten for ones: = hundreds + ten + ones. Subtract the s: =. Algorithm Project A

4 Date U.S. Traditional Algorithm Project =. Ballpark estimate: There were children on the playground. When the school bell rang, went into the school. How many children were still on the playground? children. Ballpark estimate: =. Ballpark estimate: = Step : Go to the s. Since >, you need to regroup. Trade hundred for tens: = hundreds + tens + ones. Subtract the s: =. Step : Go to the s. You don t need to regroup. Subtract the s: =.. Ballpark estimate: =. Ballpark estimate: = = = more guppies than goldfish were sold. Example : Math Journal, p. P EMcuMJ_G_PP_P.indd // : PM Step : Start with the s. Since >, you need to regroup. There are no tens in, so trade hundred for tens and then trade ten for ones: = hundreds + tens + ones. Subtract the s: =. Date Math Journal, p. P U.S. Traditional Algorithm Project. Ballpark estimate: = Marcus had pictures on his computer. He deleted of them. How many pictures were left on his computer? pictures. Ballpark estimate: Write a number story for. Solve your number story. Fill in the missing numbers in the subtraction problems... = ; Number stories vary. Sample estimate shown. Step : Go to the s. You don t need to regroup. Subtract the s: =. Step : Go to the s. You don t need to regroup. Subtract the s: =. = You may want to work several more examples with the whole class. Suggestions: =? =? =? =? =? =? EMcuMJ_G_PP_P.indd // : PM A Algorithm Project U.S. Traditional

5 Practicing U.S. Traditional (Math Journal, pp. P P; Student Reference Book, p. B) PARTNER When children are ready, have them solve Problems on journal page P. They may find the example on Student Reference Book, page B helpful. Journal pages P P provide children with additional practice using U.S. traditional subtraction. Use these journal pages as necessary. Date U.S. Traditional Algorithm Project. Ballpark estimate: = Josh wrote a story with words. Zoe wrote a story with words. How many more words are in Zoe s story? words. Ballpark estimate: = Write a number story for. Solve your number story. ; Number stories vary. Sample estimate shown. Extending the Project Solving Multidigit INDEPENDENT Problems (Online Additional Practice, pp. A D; Student Reference Book, pp. and B) Fill in the missing numbers in the subtraction problems... Math Journal, p. P EMcuMJ_G_PP_P.indd // : PM Online practice pages A D provide children with additional practice solving multidigit subtraction problems. Use these pages as necessary. Encourage children to use the focus algorithm (tradefirst subtraction) to solve the problems on practice page A. Invite them to use any algorithm they wish to solve the problems on the remaining pages. Children may find the examples on Student Reference Book, pages and B helpful. Go to to access the additional practice pages. Online Master Name Date TradeFirst Online Additional Practice Algorithm Project to show your estimate. Use tradefirst subtraction to solve each problem.. Ballpark estimate: Ravi had marbles. He gave marbles to his cousin. How many marbles does he have left? marbles. Ballpark estimate: Sample answer: =. Ballpark estimate: = =. Ballpark estimate:. Ballpark estimate: = = = Online Additional Practice, p. A EMcuGOP_AD_P.indd A // : PM Algorithm Project A

### U.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division.

Algorithm Project U.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Subtraction of Multidigit Numbers

Subtraction of Multidigit Numbers Objectives To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multidigit subtraction problems; and to provide

### Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories.

Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Subtraction Strategies

Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Family Letters. Assessment Management. Playing Target: 50

The Partial-Sums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. www.everydaymathonline.com

### Common Core State Standards. Mathematical Practices SMP1, SMP5, SMP6, SMP8. Content Standards 3.OA.5, 3.OA.8

Project Objective To introduce the rules for order of operations. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

### Multiplication Fact Power and Shortcuts

Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms

### Sunrise-Sunset Line Graphs

Sunrise-Sunset Line Graphs Objectives To guide children as they analyze data from the sunrise-sunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations

### The Partial-Quotients Division Algorithm, Part 1

The Partial-Quotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a low-stress division algorithm for 1-digit divisors. www.everydaymathonline.com epresentations etoolkit

Addition Number Stories Objective To guide children as they make up, represent, and solve addition number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### The Lattice Method of Multiplication

The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit

### The Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data.

The Median Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Number Models for Area

Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.

### Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Baseball Multiplication Objective To practice multiplication facts.

Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common

### Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Parentheses in Number Sentences

Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Family Letters. Assessment Management. Playing Fraction Of

Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com

### Multiplication Facts Survey

Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Subtracting Mixed Numbers

Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Multiplication Arrays

Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit

### Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

Unsquaring Numbers Objective To introduce the concept of square roots and the use of the square-root key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### The Distributive Property

The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

### Multiplication Facts Practice

Multiplication Facts Practice Objectives To introduce the 5-facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Measuring with a Ruler

Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

### A Coin-Toss Experiment

A Coin-Toss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### The Length-of-Day Project

The Length-of-Day Project Objectives To review telling time and finding elapsed time; and to introduce the Length-of-Day project. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. materials. materials.

Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. Teaching the Lesson materials Key Activities Children make ballpark estimates for -digit

### materials materials materials Technology Teaching the Lesson Ongoing Learning & Practice Differentiation Options

Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. Teaching the Lesson Key Activities Children

### Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1

Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent real-world situations with inequalities. www.everydaymathonline.com epresentations

### Assessment Management

Facts Using Doubles Objective To provide opportunities for children to explore and practice doubles-plus-1 and doubles-plus-2 facts, as well as review strategies for solving other addition facts. www.everydaymathonline.com

### Frames and Arrows Having Two Rules

Frames and Arrows Having Two s Objective To guide children as they solve Frames-and-Arrows problems having two rules. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Review: Addition and Subtraction of Positive and Negative Numbers

Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms

### Solving Simple Equations Objective To use trial and error and a cover-up method to

Solving Simple Equations Objective To use trial and error and a cover-up method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Family Letters. Assessment Management. Math Boxes 1 4

Objective To calculate and compare the median and mean of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Progress Check 9. Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment

Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment Input children s data from into the Assessment Management Spreadsheets. Materials

### Middle Value (Median) of a Set of Data

Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of

### Packaging Engineering

Project Packaging Engineering Objectives To use nets to represent and calculate the surface area of 3-dimensional shapes; and to apply concepts of area, surface area, and volume to design a package for

### Multiplying Fractions by Whole Numbers

Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit

### Place Value in Whole Numbers

Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com

### The Mean and the Median

The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations

### Fractions and Decimals

Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

### Objective To introduce and practice the partial-sums addition algorithm.

Objective To introduce and practice the partial-sums addition algorithm. 1 Teaching the Lesson Key Activities Children are introduced to the partial-sums algorithm using base-1 blocks and paper-and-pencil

### Assessment Management

Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.

Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop

### Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.

Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Comparing and Ordering Fractions

Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms

### Addition and Subtraction of Decimals Objective To add, subtract, and round decimals.

Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Buying at the Stock-Up Sale

Buying at the Stock-Up Sale Objective To guide children as they multiply using mental math and the partial-products algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Comparing Fractions Objective To provide practice ordering sets of fractions.

Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Iep Math Goals For Subtraction With Regrouping

Iep Math Goals For With Free PDF ebook Download: Iep Math Goals For With Download or Read Online ebook iep math goals for subtraction with regrouping in PDF Format From The Best User Guide Database Jul

### Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

### Multiplication and Division Fact Families

Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com

### Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management

Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Reading and Writing Small Numbers

Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### 100 Subtraction Math Facts

100 Math Facts Free PDF ebook Download: 100 Math Facts Download or Read Online ebook 100 subtraction math facts in PDF Format From The Best User Guide Database Facts for 0-10 drilling the math facts; however,

### Line Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management

Line Plots Objective To provide experience creating and interpreting line plots with fractional units. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Calculator Practice: Computation with Fractions

Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations

### Using Tree Diagrams to Calculate Probabilities

Using Tree Diagrams to Calculate Probabilities Objective To use tree diagrams to help calculate probabilities. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Reading and Writing Large Numbers

Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and number-and-word notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Exploring Length, Area, and Attributes

Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute

### Pattern-Block Fractions

Pattern-lock Fractions Objective To guide students as they find fractional parts of polygonal regions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

Lesson Grade 4 2 Lesson Three-Digit Addition and Subtraction As we move forward this week into word problems and multi-digit addition and subtraction, continue to focus on anything your child struggled

### = = = = = = =2 3 10) = =1 2 12) = )

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### Box Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters

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### Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Capacity. Assessment Management

Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

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### Surface Area. Assessment Management

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