Objective Content

Unit

Adding and Subtracting Whole Numbers and Decimals

Local Objective

At the completion of this unit, the students will be able to:

Compute sums and differences mentally using the Commutative and Associative Properties of Addition.
Round whole numbers through millions and decimals through thousandths.
Use rounding to estimate sums and differences of whole numbers and decimals.
Use pictures and write equations to solve problems.
Compute sums and differences of two large whole numbers.
Compute sums of decimals involving tenths, hundredths, and thousandths.
Compute differences of decimals involving tenths, hundredths, and thousandths.
Use multiple steps to solve a variety of problems.

Objective used to evaluate students

Yes

Assessment Activity

Students will be assessed:

Using the 2-1 Mental Math Quick Check and Practice worksheets to show the student can Compute sums and differences mentally using the Commutative and Associative Properties of Addition.
Using the 2-2 Rounding Whole Numbers and Decimals Quick Check and Practice worksheets to show the student can Round whole numbers through millions and decimals through thousandths.
Using the 2-3 Estimating Sums and Differences Quick Check and Practice worksheets to show that the student can Use rounding to estimate sums and differences of whole numbers and decimals.
Using the 2-4 Draw a Picture and Write and Equation Quick Check and Practice worksheets to show the student can Use pictures and write equations to solve problems.
Using the 2-5 Adding and Subtracting Quick Check and Practice worksheets to show the student can Compute sums and differences of two large whole numbers.
Using the 2-6 Adding Decimals Quick Check and Practice worksheets to show the student can Compute sums of decimals involving tenths, hundredths, and thousandths.
Using the 2-7 Subtracting Decimals Quick Check and Practice worksheets to show the student can Compute differences of decimals involving tenths, hundredths, and thousandths.
Using the 2-8 Subtracting Decimals Quick Check and Practice worksheets to show the student can Use multiple steps to solve a variety of problems.
Using the Topic 2 Adding and Subtracting Whole Numbers and Decimals Multiple Choice Exam to show students can:

Compute sums and differences mentally using the Commutative and Associative Properties of Addition. ( Questions 4,10 )
Round whole numbers through millions and decimals through thousandths.     ( Questions 2,8 )
Use rounding to estimate sums and differences of whole numbers and decimals. ( Questions 1,5 )
Use pictures and write equations to solve problems. ( Question 9)
Compute sums and differences of two large whole numbers. ( Questions 7,14  )
Compute sums of decimals involving tenths, hundredths, and thousandths.      ( Questions 3,13 )
Compute differences of decimals involving tenths, hundredths, and thousandths. ( Questions 6,11 )
Use multiple steps to solve a variety of problems.  ( Question 12 )

Using the Topic 2 Adding and Subtracting Whole Numbers and Decimals Free Response Exam:

Compute sums and differences mentally using the Commutative and Associative Properties of Addition. ( Questions 1-6)
Round whole numbers through millions and decimals through thousandths.     ( Questions 7-14 )
Use rounding to estimate sums and differences of whole numbers and decimals. ( Questions 15-21 )
Compute sums of decimals involving tenths, hundredths, and thousandths.      ( Questions 23-25 )
Compute differences of decimals involving tenths, hundredths, and thousandths. ( Questions 22,26 )
Use multiple steps to solve a variety of problems.  ( Question 27 )

Level of Expectation

80%

List of concepts and Evaluation Types

Concept	Evaluation Type
Use multiple steps to solve a variety of problems.	CR
Use multiple steps to solve a variety of problems.	SR
Compute differences of decimals involving tenths,	CR
Compute differences of decimals involving tenths,	SR
Compute sums of decimals involving tenths, hundred	CR
Compute sums of decimals involving tenths, hundred	SR
Compute sums and differences of two large whole nu	SR
Use pictures and write equations to solve problems	SR
Use rounding to estimate sums and differences of w	CR
Use rounding to estimate sums and differences of w	SR
Round whole numbers through millions and decimals	CR
Round whole numbers through millions and decimals	SR
Compute sums and differences mentally using the Co	CR
Compute sums and differences mentally using the Co	SR

Learning Activity

During whole group instruction, students will:

Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on computing sums and differences mentally using the Commutative and Associative Properties of Addition.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on rounding whole numbers through millions and decimals through thousandths.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using rounding to estimate sums and differences of whole numbers and decimals.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using pictures and write equations to solve problems.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on computing sums and differences of two large whole numbers.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on computing sums of decimals involving tenths, hundredths, and thousandths.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on computing differences of decimals involving tenths, hundredths, and thousandths.
Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using multiple steps to solve a variety of problems.

During independent work time, students will complete the:

2-1 Mental Math Quick Check and Practice worksheet.
2-2 Rounding Whole Numbers and Decimals Quick Check and Practice worksheet. Students will use their laptop computers to play a soccer decimal rounding game at the following website: http://www.math-play.com/rounding-decimals-game-1/rounding-decimals-game.html
2-3 Estimating Sums and Differences Quick Check and Practice worksheet.
2-4, Problem solving: Draw a picture and Write an Equation Quick Check and Practice worksheet
2-5 Adding and Subtracting Quick Check and Practice worksheet.
2-6 Adding Decimals Quick Check and Practice worksheet
2-7 Subtracting Decimals Quick Check and Practice worksheet
2-8 Problem Solving: Multiple-Step Problems Quick Check and Practice worksheet. Students will use their laptop computers to play a game on multiple step word problems at the following website: http://www.mathplayground.com/katiebegin.html

At the end of each unit, the students will use their computers to play a review game over that topic by going to the Mind Point Quiz Bowl icon on their computer.

Instructional Method

During whole group instruction, the teacher will:

Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on computing sums and differences mentally using the Commutative and Associative Properties of Addition.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on rounding whole numbers through millions and decimals through thousandths. Instruct students to go to the following website http://www.math-play.com/rounding-decimals-game-1/rounding-decimals-game.html , giving technological help as needed.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on using rounding to estimate sums and differences of whole numbers and decimals.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on using pictures and writing equations to solve problems.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on computing sums and differences of two large whole numbers
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on computing sums of decimals involving tenths, hundredths, and thousandths.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on computing differences of decimals involving tenths, hundredths, and thousandths.
Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on writing decimals in using multiple steps to solve a variety of problems. Instruct students to go to the following website, http://www.mathplayground.com/katiebegin.html , giving technological help as needed.

Content Standards

MA 1, MA 5

Process Standards

1.4, 1.8, 2.7, 3.3, 3.5, 4.1

Resources

Scott Foresman EnVision Math Series Materials
www.pearsonsuccessnet.com
SMART Board
Student laptop computers with Internet connection
Student slates with dry erase markers

Correction Exercise

Scott Foresman EnVision Math Topic 3 Reteaching Materials

Enrichment Exercise

Scott Foresman EnVision Math Enrichment Materials
Center Activities and/or manipulatives

GLEs v2.0 and CLEs

GLE Code	Discipline	Strand	Big Idea	Concept	Grade Level/Course	GLE
MA/N/1/A/5/a.	Mathematics	Numbers and Operations	Understand numbers, ways of representing numbers, relationships among numbers and number systems	Read, write and compare numbers	5th Grade	read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line)
MA/N/1/D/5/a.	Mathematics	Numbers and Operations	Understand numbers, ways of representing numbers, relationships among numbers and number systems	Classify and describe numeric relationships	5th Grade	describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers
MA/N/2/B/5/a.	Mathematics	Numbers and Operations	Understand meanings of operations and hwo they relate to one another	Describe effects of operations	5th Grade	describe the effects of addition and subtraction on fractions and decimals
MA/N/3/B/5/a.	Mathematics	Numbers and Operations	Compute fluently and make reasonable estimates	Develop and demonstrate fluency	5th Grade	demonstrate fluency with efficient procedures for adding and suctracting decimals and fractions (with unlike denominators) and division of whole numbers
MA/N/3/C/5/a.	Mathematics	Numbers and Operations	Compute fluently and make reasonable estimates	Compute problems	5th Grade	apply and describe the strategy used to compute a division problem up to a 3-digit by 2-digit and addition and subtraction of fractions and decimals
MA/N/3/D/5/a.	Mathematics	Numbers and Operations	Compute fluently and make reasonable estimates	Estimate and justify solutions	5th Grade	estimate and justify products and quotients of whole numbers and sums of differences of decimals and fractions