EAST ALLEN COUNTY SCHOOLS

Bundle 4

Grade 4

Math

Big Idea: Determination Fractions/Decimals

Enduring Understandings Essential Questions Fractions and decimals express a relationship between two numbers. Operation strategies with fractions and decimals are similar to those used with whole numbers. Fractions and decimals represent parts of a whole.

A decimal is another name for a fraction.

What does a fraction represent? How do we write decimals as fractions? How do improper fractions relate to mixed numbers? How can you use fractions/decimals in real life?

CC/Learning Targets Core Vocabulary Links to Technology *4.1.5 *4.1.6 *4.1.7 *4.1.8 *4.1.9 *4.2.8

4.2.9 *4.2.10 *4.3.1 *4.5.10 4NF.7 3NF.2 4.7 4.OA.2

4.NF.1 4.NF.2 4.NF.4 4.NF.5 4.NF.7

equivalents improper fractions hundredths mixed numbers

Coop Fractions

Everyday Mathematics Equivalent Fractions Pizza Fractions Motion Math Zoom (decimals) Math !!! MyBlee Education Brain Genie Oh No Fractions! Fraction Basics 4th Grade Splash Math Virtual Manipulatives (fraction bars)

Bundle Performance Task(s) Your class is planning a holiday party. Your teacher is going to order pizzas as part of the celebration. Each pizza is cut into ten slices. In order to get an accurate count for your teacher, complete the following steps:

As a whole group, each student needs to decide how many slices of pizza he/she would like to have (no more than 3 per student)

Record the number of slices per student in fraction form. For example, 2 slices = 2/10. Record results on a chart as a whole group.

As a whole group, add up all the individual fractions, which will create an improper fraction.

Convert the improper fraction to a mixed number. Simplify where needed .Use this data to determine how many total pizzas will be needed for the celebration. Repeat this process as a class, this time using decimal format. For example, 2 slices= 0.2.

Record results on a chart as a whole group.

Add up all the individual decimals. Use this data to determine how many total pizzas will be needed for the celebration.

Compare the fraction results and the decimal results to confirm accuracy.

Grade 4 Math Bundle 4

Quarter 2 Nov.-Dec.

Recommended Read-Alouds G4 - Bundle 4

Big Idea: Determination Title Author Relates to…

Fraction Fun Adler, David A. Fractions

Full House: An Invitation to Fractions Dodds, Dayle Ann Fractions

Picture Pie Emberley, Ed Fractions

Piece = Part = Portion: Fractions = Decimals = Percents Gifford, Scott Fractions

The Lion’s Share McElligott, Matthew Fractions

Give Me Half! Murphy, Stuart J. Fractions

Jump, Kangaroo, Jump! Murphy, Stuart J. Fractions

The Hershey’s Milk Chocolate Bar Fractions Book Pallotta, Jerry Fractions

Math G4 - Bundle 4

CC/Learning Targets Resource of Ideas Evidence of Learning *4.1.5 Rename and write whole numbers as

fractions. -Fraction Fun by David A. Adler -Give Me Half! by Stuart J. Murphy -Piece = Part = Portion: Fractions = Decimals = Percents by Scott Gifford -Jump, Kangaroo, Jump! by Stuart J. Murphy -The Hershey’s Milk Chocolate Bar Fractions Book by Jerry Pallotta -Full House: An Invitation to Fractions by Dayle Ann Dodds

-Fractions -Who Wants Pizza? (Fraction activity) -Fractions Problem Solving -Equivalent Fractions -Explore Equal Parts -Flashcards

-Houghton Mifflin Math Lesson 19.1

-Houghton Mifflin Math Corresponding Lesson Resources -Class game of I Have, Who Has? -Fraction match game using note cards -Fractions Quiz

*4.1.6 (4NF.3)

Name and write mixed numbers, using objects or pictures. a. Define and explain mixed numbers as whole numbers and a fraction. b. Name and write mixed numbers, using objects or pictures. +Add and subtract mixed numbers with like denominators using properties of operations and the relationship between addition and subtraction.

-SMARTboard Activity -enVision MATH Topic 12-1 – 12-11 -Houghton Mifflin Math Lessons 19.2, 19.6

-Houghton Mifflin Math Corresponding Lesson Resources -Class game of I Have, Who Has? -Fraction match game using note Cards -Fractions Quiz

Math G4 - Bundle 4

*4.1.7 Name and write mixed numbers as improper fractions, using objects or pictures. a. Describe an improper fraction as larger than a whole number. b. Write an improper fraction using objects or pictures.

-SMARTboard Activity -SMARTboard Activity -Mixed to Improper -Improper to Mixed -Flashcards -enVision MATH Topic 12-6 -Houghton Mifflin Math Lesson 19.7

-Houghton Mifflin Math Corresponding Lesson Resources -Class game of I Have, Who Has? -Fraction match game using note cards -Fractions Quiz -Daily Math Review

*4.1.8 Write tenths and hundredths in decimal and fraction notations. Know the fraction and decimal equivalents for halves and fourths. a. Write tenths in decimal and fraction notations. b. Write hundredths in decimal and fraction notations. c. Name and write the fraction and decimal equivalents for halves and fourths.

-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Decimal Place Value -Decimals & Fractions (Variety of resources) -Fraction & Decimal Relationships -Decimal Games -Decimals -enVision MATH Topic 13-4, 13-5, 13-6 -Houghton Mifflin Math Lessons 21.1, 21.2, 21.3, 21.4

-Houghton Mifflin Math Corresponding Lesson Resources -Use graph paper to represent decimals/fractions pictorially -Input Output Machine (ex: input is 4 out of 10, output is 4/10 and 0.4) -Decimal/fraction number scavenger hunt in newspapers -Daily Math Review

*4.1.9 Round two-place decimals to tenths or to the nearest whole number. a. Round two-place decimals to tenths. b. Round two-place decimals to the nearest whole number.

-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Houghton Mifflin Math Lessons 22.1, 22.2

-Houghton Mifflin Math Corresponding Lesson Resources -Observation during a class game of I Have, Who Has? -Daily Math Review -Quiz

Math G4 - Bundle 4

*4.2.8 (4NF.3)

Add and subtract simple fractions with different denominators, using objects or pictures. a. Explain the need for a common denominator when adding and subtracting fractions. +Understand addition and subtraction of fractions as joining and separating parts referring to the same whole +Decompose a fraction into a sumo of fractions with the same denominator in more than one way, recording each decomposition by an equation +Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. b. Add simple fractions with different denominators using objects or pictures. c. Subtract simple fractions with different denominators, using objects or pictures.

-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Fraction Fun by David A. Adler -Give Me Half! by Stuart J. Murphy -Piece = Part = Portion: Fractions = Decimals = Percents by Scott Gifford -Jump, Kangaroo, Jump! by Stuart J. Murphy -Order Fractions -Adding Fractions -Subtracting Fractions -Flashcards -enVision MATH Topic 12-1, 12-2, 12-3, 12-4 -Houghton Mifflin Math Lessons 20.1, 20.6, 20.7

-Houghton Mifflin Math Corresponding Lesson Resources -Pictorial representations of addition and subtraction fraction sentences -Daily Math Review

4.2.9 Add and subtract decimals (to hundredths), using objects or pictures. a. Add decimals (to hundredths), using objects or pictures.

-Add decimals with grids -Subtract decimals with grids -Decimal Games -Houghton Mifflin Math

-Houghton Mifflin Math Corresponding Lesson Resources -Think, pair, share with a partner on a given problem

Math G4 - Bundle 4

b. Subtract decimals (to hundredths), using objects or pictures.

Lesson 22.3

*4.2.10 Use a standard algorithm to add and subtract decimals (to hundredths). a. Use a standard algorithm to add decimals (to hundredths). b. Use a standard algorithm to subtract decimals (to hundredths).

-Adding Decimals -Subtracting Decimals -SMARTboard Activity (Adding and subtracting decimals) -Houghton Mifflin Math Lessons 22.4, 22.5

-Houghton Mifflin Math Corresponding Lesson Resources -The total cost of a grocery list of items (given by the teacher) using prices from a store’s ad -Think, pair, share with a partner on a given problem -Calculate the balance of a bank account

*4.5.10 Calculate the amount of change from a purchase.

-enVision MATH Topic 13-9, 15-3 -Houghton Mifflin Math Lesson 2.4

-Houghton Mifflin Math Corresponding Lesson Resources -Think, pair, share with a partner on a given problem -Quiz

4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

- enVision MATH Topic 11-4, 11-5 - enVision MATH chapter test

4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid

- enVision MATH Topic 11-6, 11-7, 11-8

Math G4 - Bundle 4

only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

- enVision MATH Topic 13-1, 13-2, 13-3 - enVision MATH chapter test

Math G4 - Bundle 4

4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

- enVision MATH Topic 13-4, 13-5 - enVision MATH chapter test

4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

- enVision MATH Topic 13-7, 13-8 - enVision MATH chapter test

4.7 Problem Solving -The Problem Solver 4: Activities for Learning Problem-Solving Strategies

-Five Easy Steps to a Balanced Math Program for Upper Elementary

Grades pp. 29-69, 153-154

-Problem Solver Activities

-See Problem Solving Template

in Appendix

4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (Limit whole numbers less than or equal to 1,000,000)

-Problem Solver 4: Activities for Learning Problem-Solving Strategies -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 29-69, 153-154 -Observing Patterns -Working Backwards -Process of Elimination -Solve a Simpler Problem -Multi-Step Problem -enVision MATH Topic 1-6, 1-8, 1-9, 1-10

-enVision MATH chapter test -Problem Solver Activities -See Problem Solving Template in Appendix

Math G4 - Bundle 4

Correlating CC/Learning Targets Teacher Notes

4.2.4 b, c 4.2.5 (4.NBT.5) 4.2.6 (4.NBT.6) 4.2.7 4.3.5 (4.OA.5) 4.3.6 b, c 4.3.7 (4.OA.2)

-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 71-96

-Math Maven's Mysteries (activities on various skills)

-Variety of Math Games

-Internet 4 Classrooms -Kid Zone -IDOE Resources -Study Zone

-Scholastic Study Jams – tutorials, guided practice, independent practice

-Place Value -Number lines -Order Whole Numbers -Expanded Notation -Rounding Decimals

To access enVisionMATH materials for 2006 Indiana State standards: www.pearsonsuccessnet.com username: envisionindiana password: 123456