Focus Plan Texarkana Independent School District With instructions for writers Grading Period: Plan Code: Writer: Refer to Scope and Sequence Barbara Fugitt Course/subject: Math Grade(s): Third grade Time allotted for instruction: 3 or 4 – 60 minute class periods Title: Compare and Order Lesson Topic: Using place value to compare and order whole numbers. TAKS Objective: Objective 1: The students will demonstrate an understanding of numbers, operations, and quantitative reasoning. (3.1) Number, operation, and quantitative reasoning. The student uses place value to communicate about increasingly large whole numbers in verbal and written form, including money. The student is expected to: FoCUS TEKS and Student Expectation: Supporting TEKS and Student Expectations: (B) use place value to compare and order whole numbers through 9,999. (3.1) Number, operation, and quantitative reasoning. The student uses place value to communicate about increasingly large whole numbers in verbal and written form, including money. The student is expected to: (A) use place value to read, write (in symbols and words), and describe the value of whole numbers through 999,999. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District Concepts Digits Place Value Enduring Understandings/Generalizations/Principles The student will understand that Any one of the tens symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 used to write numbers. The value of a place of a digit in a number. Greater Than (>) A symbol used to compare two numbers, with the greater number given first. Example: 8 > 6 Less Than (<) A symbol used to compare two numbers, with the lesser number given first. Example: 6 < 8 Equal (=) Two numbers or number sentences being alike in value on either side. Compare To examine 2 or more objects or people to find out how they are alike and how they are different. Ordering To put numbers or objects in a specific order. Example: listing from greatest to least or least to greatest. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District I. Sequence of Activities (Instructional Strategies) A. Focus/connections/anticipatory set 1. Begin the lesson by writing the word compare on the board. Ask students to tell you what the word compare means. (To examine 2 or more objects or people to find out how they are alike and how they are different.) 2. Ask students some ways to compare the students in the classroom. (They could say by male or female, height, age, hair color, and so on.) B. Instructional activities 1. Objectives: Students will review place value and begin comparing and ordering numbers. 2. Procedures: The teacher will review place value and model comparing and ordering numbers to 9,999. 3. Modeling: The teacher will use PowerPoint, numbers printed on cardstock and cut out, and overhead or Elmo. C. Guided activity or strategy Day 1 Use the PowerPoint to introduce vocabulary and concepts (you will only use part of the PowerPoint). Make sure to review Place Value with the students. You will need the numbers for this activity. For now just one set for you will be fine. You will also need Transparency 1 to record your number. Have a student draw a number and ask them in what place value to put the number they drew. For example, if they drew a 6, the student might tell you to put the 6 in the tens place. Continue this until you have two numbers. Show students how to compare, starting in the hundreds place. (We will move to the thousands place with the next numbers.) For example, if your numbers are 365 and 244, the students should start comparing the 3 and 2. Then write that 365 > 244 on the board. (I always tell the students that the greater than and less than signs are an alligator and the alligator is greedy. He will only eat the largest number.) Begin having students draw numbers again. (You can decide whether to compare another number that only goes to the hundreds place or you can add the thousands place to this.) You can do as many examples as you need until you feel that your students have this down. After doing several examples, have students work in pairs to play this game further. Day 2 Begin the lesson by reviewing place value and comparing numbers. Finish the PowerPoint by introducing ordering numbers. Students need to be able to order numbers from least to greatest or greatest to least. Use the numbers from Day 1 activity. Put students in groups and have them make numbers to the hundreds place at first. They are allowed to put the number you draw in any place value spot. Once you draw 3 numbers, have one student from each group write their number on the board. Have the class work together and put the numbers in order from least to greatest or greatest to least. When listing them on the board, list them in several different ways. For example, if your numbers were 265, 956, and 437. List them in order from least to greatest (265; 437; 956), list them from greatest to least (956; 437; 265). Also, show it using the inequality symbols (265 < 437 < 956). Do this a couple of times to ensure that students grasp the concept. Once they have a good grasp to the hundreds place, add the thousands place to this. If you feel your students are ready, you can extend this to the ten thousands and hundred thousands place. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District Day 3 Review comparing and ordering numbers. Use the PowerPoint as a review. Complete several examples on the board for students to solve. Use the number cards and show students how to play Card Trick. (There is an example scorecard in this lesson.) Students will work in pairs for this activity. Show the students that they are only allowed to draw three or four number cards (depending on how big you want the numbers to big). Pick three number cards. Use Transparency 2 to show students how to fill in the scorecard. Students will then complete this activity with their partner. Day 4 Review ordering and comparing numbers to prepare students for the TAKS formatted assessment. II. D. Accommodations/modifications See student IEP for modifications. E. Enrichment Students could work on comparing higher numbers. They can do the same activities, just using the larger numbers. STUDENT PERFORMANCE A. Description Day 1 Students will work in pairs. Students will continue playing the game. Give each pair a set of numbers and Activity sheet 1. Monitor to make sure the students are doing this correctly. When students are finished with the activity, have them complete Activity Sheet 2. Day 2 Students play Hi Score with their group. Give each group a Hi Score game board, number cards, and a marker. Students will take turns drawing a card. They will need to think carefully about where they are going to place their digit. They are not allowed to change it later. Each line represents a mathematical sentence. If the sentence is true, the group earns points. If it isn’t correct, they don’t get any points. Example: If the digits are 621 > 423 > 233, then team earns 233 points. If the sentence is incorrect, they get no points. I usually give cub cash to the team with the most points. You could do this later after you look over the score cards so each group can work at their own pace. After the groups are finished, students will complete Activity Sheet 3. Day 3 Students will play Card Trick with their partner. Once they have played through the game a couple of times, students will complete Activity Sheet 4, a review over ordering and comparing numbers. Day 4 Students will complete the TAKS formatted assessment. B. Accommodations/modifications See student IEP for modifications. C. Enrichment Students could work on comparing higher numbers. They can do the same activities, just using the larger numbers. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District III. IV. Assessment of Activities A. Description The teacher will know the students have begun to master comparing and ordering numbers when they: Complete the Day 2 and Day 3 activities with a 70% or higher. Complete the Comparing and Ordering Assessment with 70% or higher. B. Rubrics/grading criteria Complete all activities with a 70% or higher. C. Accommodations/modifications See student IEP for modifications. D. Enrichment Students could work on comparing higher numbers. They can do the same activities, just using the larger numbers. E. Sample discussion questions 1. How do you compare numbers? (Begin in the thousands or hundreds place and determine which number is bigger to find out which number is greater than the other.) 2. What digits do you look at to determine how to order numbers? (Look at the first digit that is different.) TAKS Preparation A. Transition to TAKS context 1. Students will complete a TAKS formatted Assessment. B. Sample TAKS questions The teacher needs to take sample questions from the 2003 and 2004 TAKS released tests to emphasize how transformations are tested on the TAKS test. (Use TAKS Transparency) V. Key Vocabulary Place value, digits, greater than, less than, compare, ordering, and equal. VI. Resources A. Textbook Harcourt Brace or Other Math Adoption B. Supplementary materials/equipment Transparency: Sample TAKS questions from 2003 and 2004 Released TAKS test. TAKS Master p. 9-10 (Objective 1 Exercise 3 and 4) Step Up to TAKS p. 100-109. Card Trick Scorecards (laminated) Hi Score game cards Markers Numbers Vis a Vis pens Math for Fun: Projects (game ideas came from here) Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District C. Technology Overhead or Elmo Computer or Laptop LCD Projector for displaying PowerPoint VII. Follow Up Activities Students will have to practice this skill numerous times. Follow this lesson with rounding numbers. This lesson plan may take you longer than I have written. This will all depend on your students. VIII. Teacher Notes Focus plan 3.1A Place Value will need to be taught before completing this lesson. Division of Curriculum and Instruction School Improvement Department Texarkana Independent School District