4th Grade Math Lesson Plan Template Day 1 Topic Math Read Aloud Title Math Read Aloud and Related Activity of Minutes 20 A Remainder of One by Elinor Pinczes. Copies of the read aloud activity A Remainder of One Math vocabulary cards for the math word wall Pencils Example/Description Tell campers that each week you ll read them a story that is connected to the math topics that they are focusing during this program. Read the story to the class and be sure to put lots of enthusiasm into your voice! You might want to have the campers sit in a circle on the floor so that it is easier for you to show them the pictures. Discuss the big ideas of the story which focuses on arrays and remainders that is evident in the bugs line formation. Math vocabulary words/concepts for the story are as follows: remainder and arrays. Campers will complete the related read aloud activity. (Preteach for the division lessons that will begin on July 8 th). Worlds Level G Unit: Multiplication Week 4 Lesson 1 p. 32A-33 50 Teacher Manual pages 32A 33 (includes math background/ intro). Campers Workbook pages 32 33 Cubes Math vocabulary Topic: More About Multiplication Lesson objective must be stated and posted Week 4 Lesson 1 Objective: Campers use area models to list the factors of a whole number. Week 4 Lesson 1 math vocabulary: array, product, factor, factor pairs, and prime numbers. (The vocabulary words in bold are listed on page 32C in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 32C. 1
Differentiated Instruction and Independent Problem Solving Task Introduction Differentiated Instruction Procedure Discussion and Problem Solving Task Walking Away with a Million Dollars Introduction 20 cards for the math word wall Calculators (to check products) Paper Pencils Under the Engage heading on page 32C, complete Skill Building section Building Rectangles and Strategy Building section Prime s. Review the Key Idea box with the campers on page 32. Have the campers complete the Try This and Practice problems on pages 32 and 33. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 33. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Differentiated Instruction Procedures: Chart paper with an outline of Take this opportunity to review with the campers your procedures for differentiated a successful differentiated instruction session. instruction Questions to ponder when giving the campers information are as procedures follows: Walking Away with a Million 1. How do students know where to go? Dollars Open 2. How do they know what to do? Response for 3. How are the materials managed? each student 4. How is the students progress/needs monitored? Pencils Manila folders Walking Away with a Million Dollars Task: Teacher pages 87 Introduce to the campers the Walking Away with a Million Dollars 91. problem solving task. The task should be kept in the campers manila Copies of the PPS problem solving folders so that they will be able to independently Intermediate work on the task. Review the Intermediate Problem Solving Rubric Problem Solving with the campers. This rubric will be used by each camper and also Rubric will be a tool during the peer review that will occur later on in the week. 2
Manila Folders Pencils Independent Problem Solving Task: Walking Away with a Million Dollars Description: Campers estimate if one million dollars will fit in a suitcase that will hold the equivalent of one carton of paper. Focus: 1. Read and write whole numbers up to 1,000,000. 2. Use paper and pencil algorithms to solve problems involving the multiplication of multidigit whole numbers. 3. Give reasonable estimates for whole number multiplication problems. Review the rubric on page 88 and the sample of student responses on pages 89 91 when having the campers present their papers and for additional information. The campers will continue working on this problem during the week as outlined in the lesson plans. 3
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4th Grade Math Lesson Plan Template Day 2 Topic Differentiated Instruction and Independent Problem Solving Task Worlds Level G Title Differentiated Instruction and Independent Problem Solving Task Walking Away with a Million Dollars Unit: Multiplication Week 4 Lesson 2 p. 34A-35 of Minutes 25 45 : Multiplication Top It Everyday Math Cards Pencils Walking Away with a Million Dollars Open Response PPS Intermediate Problem Solving Rubric Campers Manila folders with problem solving task : Teacher Manual pages 34A 35 Campers Workbook pages 34 35 Multiplication Table p. B23 Math vocabulary Example/Description Differentiated Instruction Menu: ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) The campers should be familiar with playing Multiplication Top It from the third grade. If the campers are not familiar with Multiplication Top It, you can introduce the game to a group of children while the other campers are working on the problem solving task Walking Away with a Million Dollars. Walking Away with a Million Dollars The campers will continue to work independently on the task. The campers can refer to the rubric to help them meet the problem s expectations. Topic: More about Multiplication Lesson objective must be stated and posted Week 4 Lesson 2 Objective: Campers find factor pairs of a whole number. Week 4 Lesson 2 math vocabulary: product, counting upward, and factor pairs. (The vocabulary words in bold are listed on page 34A in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. 5
POTW Title: Joe Joins the 32 nd Army Corps Skill Focus: Division 20 cards for the math word wall Paper Pencils POTW copies for the campers Pencils Manila folders Complete the Warm Up Concept Building section on page 34A. Under the Engage heading on page 34A, complete Strategy Building section In Between and Skill Building section Find the Factors. Review the Key Idea box with the campers on page 34. Have the campers complete the Try This and Practice problems on pages 34 and 35. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 35. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Skill Focus: Division Distribute the problem to the class. The teacher will introduce the problem to the campers by using the following overarching questions: o What does the problem already tell me? o What do I want to find out? o What information will help me find the answer? o Do I know a way or strategy to get started? (ex. Draw a picture) Have campers turn to a partner to retell the problem in their own words prior to solving the task. 6
4th Grade Math Lesson Plan Template Day 3 Topic Differentiated Instruction and Independent Problem Solving Task Worlds Level G Title Differentiated Instruction and Independent Problem Solving Task Walking Away with a Million Dollars Unit: Multiplication Week 4 Lesson 3 p. 36A-37 of Minutes 20 50 Multiplication Top It Everyday Math Cards Pencils Multiplication Wrestling Multiplication Wrestling Worksheet Walking Away with a Million Dollars Open Response PPS Intermediate Problem Solving Rubric Campers Manila folders : Teacher Manual pages 36A 37 Campers Workbook pages Example/Description Differentiated Instruction Menu: ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) Multiplication Wrestling (Skill: Partial Products Algorithm): You should have a small teacher led group that you will be able to teach the campers Multiplication Wrestling. You can add this game to the list of possible differentiated instruction activities. This game is more challenging for the campers. Walking Away with a Million Dollars The campers will continue to work independently on the task. Topic: More About Multiplication Lesson objective must be stated and posted Week 4 Lesson 3 Objective: Campers find the least common multiple (LCM) of two whole numbers and use it to solve problems. Week 4 Lesson 3 math vocabulary: multiple, common multiple, and 7
POTW Title: Joe Joins the 32 nd Army Corps Skill Focus: Division 20 36 37 Math vocabulary cards for the math word wall Paper Pencils POTW copies for the campers Pencils Manila folders least common multiple (LCM) (The vocabulary words in bold are listed on page 36 of the student workbook.) Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 36A. Under the Engage heading on page 36A, complete Skill Building section LCM and Strategy Building section Cuckoo Clock. Review the Key Idea box with campers on page 36. Have the campers complete the Try This and Practice problems on pages 36 and 37. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 37. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Joe Joins the 32 nd Army Corps Skill Focus: Multiplication Two Digit by Two Digit Review the campers answers to the problem. 8
4th Grade Math Lesson Plan Template Day 4 Topic Differentiated Instruction Worlds Level G Title Differentiated Instruction Unit: Multiplication Week 4, Lesson 4 p.38a-39 of Minutes 20 50 Multiplication Top It Everyday Math Cards Multiplication Wrestling Multiplication Wrestling Worksheet Beat the Calculator Calculator Paper Pencils Teacher Manual pages 38A 39 Camper Workbook pages 38 39 Math vocabulary Example/Description Differentiated Instruction Menu: ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) You can introduce this game to the campers at this time. The campers should know how to play this game from the previous school year. Topic: More about Multiplication Lesson objective must be stated and posted. Week 4 Lesson 4 Objective: Campers apply divisibility rules to whole numbers. Week 4 Lesson 4 math vocabulary: divisibility/divisible, quotient, whole number and justify your answer. (The vocabulary words in bold are listed on page 38A in the teacher s manual). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. 9
Problem Solving Worktime Peer Review Walking Away with a Million Dollars 20 cards for the math word wall Paper Pencils Walking Away with a Million Dollars Open Response Pencils Highlighters (optional) Campers manila folders Teacher pages 87 91. Copies of the PPS Intermediate Problem Solving Complete the Warm Up section on page 38A. Under the Engage heading on page 38A, complete Skill Building section Divisibility and Factors and Strategy Building section Write the Rules. Review the Key Idea box with the campers on page 38. Have the campers complete the Try This and Practice problems on pages 38 and 39. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 39. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. (Option: If the campers need additional instruction on the math concept, you may use the information found on More About Multiplication Week 4, Lesson 5 Review on pages 40A 41 in the teacher s manual.) Independent Problem Solving Task: Walking Away with a Million Dollars Description: Campers estimate if one million dollars will fit in a suitcase that will hold the equivalent of one carton of paper. Focus: 1. Read and write whole numbers up to 1,000,000. 2. Use paper and pencil algorithms to solve problems involving the multiplication of multidigit whole numbers. 3. Give reasonable estimates for whole number multiplication problems. Review the rubric on page 88 and the sample of student responses on pages 89 91 when having the campers present their papers and for additional information. 10
Rubric The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. Page 88 Rubric and PPS Intermediate Rubric Correlation: Page 88 Rubric PPS Intermediate Problem Solving Rubric Level 4 4+ and 4 Level 3 3 Level 2 2 Level 1 1 Divide the campers in partners and have them assess each other s work using the rubric. You may want to use a problem that you solved or one of the student response samples to model how the campers should use the PPS Intermediate Problem Solving Rubric to assess the campers work. The campers should be instructed to highlight on the rubric where their peer s work falls. After the peer review is completed, give the campers an opportunity to revise their work. 11
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4th Grade Math Lesson Plan Template Day 5 Topic Independent Problem Solving Task Worlds Level G Title Independent Problem Solving Task Walking Away with a Million Dollars Unit: Division Week 3 Lesson 1 p. 22A-23 of Minutes 20 50 : Walking Away with a Million Dollars Open Response PPS Intermediate Problem Solving Rubric Pencils Campers Manila folders Teacher Manual pages 22A 23 (includes math background/ intro). Campers Workbook pages 22 23 Math vocabulary cards for the math word wall Paper Pencils Example/Description Independent Problem Solving Task: Walking Away with a Million Dollars Based on the peer review, give the campers the opportunity to revise their Walking Away with a Million Dollars task. (Once the campers have revised their problems, they may play any of the differentiated instruction activities.) Topic: Beyond the Basics Lesson objective must be stated and posted Week 3 Lesson 1 Objective: Campers divide three digit and four digit numbers by one digit divisors with remainders. Week 3 Lesson 1 math vocabulary: quotient, divisor, and dividend. Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 22C. Under the Engage heading on page 22C, complete Skill Building section Long Division and Strategy Building section Solve The Problem. Review the Key Idea box with the campers on page 22. Have the campers complete the Try This and Practice problems on pages 22 and 23. Review these problems with the campers. 13
Problem Solving Closing Student Presentation Walking Away with a Million Dollars 20 Walking Away with a Million Dollars Open Response Pencils Manila folders Teacher pages 87 91. Copies of the PPS Intermediate Problem Solving Rubric Exit Slip: All campers must complete the Reflect problem at the bottom of page 23. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. The campers will present their solutions to the Walking Away with a Million Dollars problem. The teacher will select problems that will represent each level from Approaching the Standard 1 / 2 to Exceeds the Standard 4+. Page 88 Rubric and PPS Intermediate Rubric Correlation: Page 88 Rubric PPS Intermediate Problem Solving Rubric Level 4 4+ and 4 Level 3 3 Level 2 2 Level 1 1 Make sure that with teacher s guidance, the campers are able to identify the examples of each of the categories in the rubric. Approaching the Standard (Levels 1 and 2), Meets the Standard (Levels 3 and 4), and Exceeds the Standard (Level 4+). The presentation of the campers work during the Closing will begin with Approaching the Standard work and end with the Exceeds the Standard work. 14
4th Grade Math Lesson Plan Template Day 6 Topic Differentiated Instruction Title Differentiated Instruction of Minutes 20 : Multiplication Top It Everyday Math Cards Multiplication Wrestling Multiplication Wrestling Worksheet Beat the Calculator Calculator Paper Pencils Baseball Multiplication (Advanced version) 4 six sided dice Example/Description Differentiated Instruction Menu: ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) ~Baseball Multiplication Advanced Version (Skill: Multiplication facts through 12s, extended facts) You can have a teacher led group to review the Baseball Multiplication (Advanced Versions) game. 15
Worlds Level G Independent Problem Solving Task Unit: Division Week 3 Lesson 2 p. 24A-25 A Trip to Adventure Land Introduction 50 20 : Teacher Manual pages 24A 25 Campers Workbook pages 24 25 Math vocabulary cards for the math word wall Paper Pencils A Trip to Adventure Land Open Response for each student Pencils Manila folders Teacher pages 95 99. Topic: Beyond the Basics Lesson objective must be stated and posted Week 3 Lesson 2 Objective: Campers divide three digit and four digit numbers by onedigit divisors with remainders. Week 3 Lesson 2 math vocabulary: left over, solve each problem, quotient, divisor, remainder, and dividend. (The vocabulary words in bold are listed on page 24A in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 24A. Under the Engage heading on page 24A, complete Skill Building section Division with Remainders and Strategy Building section Problem Solving. Review the Key Idea box with the campers on page 24. Have the campers complete the Try This and Practice problems on pages 24 and 25. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 25. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Independent Problem Solving Task: A Trip to Adventure Land Description: Campers calculate the cost per student for a field trip. Focus: 1. Use paper and pencil algorithms to solve problems involving the division of multidigit whole numbers by 1 digit whole numbers; describe the strategies used and how they work. 2. Make reasonable estimates for whole number multiplication and division problems, and explain how the estimates were obtained. 16
Copies of the PPS Intermediate Problem Solving Rubric Review the rubric on page 96 and the sample of student responses on pages 97 99 when having the campers present their papers and for additional information. The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. The campers will continue working on this problem during the week as outlined in the lesson plans. The campers problems need to be kept in a manila folder so that they will be able to independently work on the task. 17
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4th Grade Math Lesson Plan Template Day 7 Topic Independent Problem Solving Task Worlds Level G Title A Trip to Adventure Land Unit: Division Week 3 Lesson 3 p. 26A-27 of Minutes 30 50-60 A Trip to Adventure Land Open Response for each student Pencils Manila folders Teacher pages 95 99. Copies of the PPS Intermediate Problem Solving Rubric : Teacher Manual pages 26A 27 Campers Workbook pages 26 27 Math vocabulary Example/Description Independent Problem Solving Task: A Trip to Adventure Land Description: Campers calculate the cost per student for a field trip. Focus: 1. Use paper and pencil algorithms to solve problems involving the division of multidigit whole numbers by 1 digit whole numbers; describe the strategies used and how they work. 2. Make reasonable estimates for whole number multiplication and division problems, and explain how the estimates were obtained. Review the rubric on page 96 and the sample of student responses on pages 97 99 when having the campers present their papers and for additional information. The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. The campers will continue work on this problem during the week as outlined in the lesson plans. The campers problems need to be kept in a manila folder so that they will be able to independently work on the task. Topic: Beyond the Basics Lesson objective must be stated and posted Week 3 Lesson 3 Objective: Campers divide three digit and four digit numbers by twodigit divisors with no remainders. Week 3 Lesson 3 math vocabulary: estimate, dividend, divisor, and quotient. Math vocabulary words, their definition, and a pictorial 19
cards for the math word wall Paper Pencils representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 26A. Under the Engage heading on page 26A, complete Skill Building section More Long Division and Strategy Building section Division Application. Review the Key Idea box with campers on page 26. Have the campers complete the Try This and Practice problems on pages 26 and 27. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 27. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. 20
4th Grade Math Lesson Plan Template Day 8 Topic Differentiated Instruction Title Differentiated Instruction of Minutes 20 : Multiplication Top It Everyday Math Cards Multiplication Wrestling Multiplication Wrestling Worksheet Beat the Calculator Calculator Paper Pencils Baseball Multiplication (Advanced version) 4 six sided dice Name that Example/Description Differentiated Instruction Menu: ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) ~Baseball Multiplication Advanced Version (Skill: Multiplication facts through 12s, extended facts). ~Name that (Skill: Naming numbers with expressions) You can have a teacher led group to review the Name That game. 21
Worlds Level G Problem Solving Worktime Peer Review Unit: Division Week 3, Lesson 4 p.28a-29 A Trip to Adventure Land 50 20 Teacher Manual pages 28A 29 Camper Workbook pages 28 29 Math vocabulary cards for the math word wall Paper Pencils A Trip to Adventure Land Open Response for each student Topic: Beyond the Basics Lesson objective must be stated and posted. Week 3 Lesson 4 Objective: Campers divide three digit and four digit numbers by twodigit divisors with remainders. Week 3 Lesson 4 math vocabulary: dividend, divisor, quotient, and remainder. (The vocabulary words are found on page 28 of the student workbook.) Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 28A. Under the Engage heading on page 28A, complete Skill Building section Quotients and Remainders and Strategy Building section What Remains. Review the Key Idea box with the campers on page 28. Have the campers complete the Try This and Practice problems on pages 28 and 29. Review these problems with the campers. Exit Slip: All campers must complete the Reflect problem at the bottom of page 29. This problem will be used as an exit slip to check the campers understanding of the lesson s math concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. (Option: If the campers need additional instruction on the math concept, you may use the information found on Beyond the Basics Week 3, Lesson 5 Review on pages 30A 31 in the teacher s manual.) Independent Problem Solving Task: A Trip to Adventure Land Description: Campers calculate the cost per student for a field trip. Focus: 1. Use paper and pencil algorithms to solve problems involving the 22
Pencils Manila folders Teacher pages 95 99. Copies of the PPS Intermediate Problem Solving Rubric division of multidigit whole numbers by 1 digit whole numbers; describe the strategies used and how they work. 2. Make reasonable estimates for whole number multiplication and division problems, and explain how the estimates were obtained. Review the rubric on page 96 and the sample of student responses on pages 97 99 when having the campers present their papers and for additional information. The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. Page 96 Rubric and PPS Intermediate Rubric Correlation: Page 96 Rubric PPS Intermediate Problem Solving Rubric Level 4 4+ and 4 Level 3 3 Level 2 2 Level 1 1 Divide the campers in partners and have them assess each other s work using the rubric. You may want to use a problem that you solved or one of the student response samples to model how the campers should use the PPS Intermediate Problem Solving Rubric to assess the campers work. The campers should be instructed to highlight on the rubric where their peer s work falls. After the peer review is completed, give the campers an opportunity to revise their work. 23
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4th Grade Math Lesson Plan Template Day 9 Topic Independent Problem Solving Task Worlds Level G Title Independent Problem Solving Task A Trip to Adventure Land Unit: Sense Week 1 Lesson 1 p. 2A-3 of Minutes 20 50 A Trip to Adventure Land Open Response for each student Pencils Manila folders Teacher pages 95 99. Copies of the PPS Intermediate Problem Solving Rubric Campers Manila folders Teacher Manual pages 2A 3 (includes math background/ intro). Campers Workbook pages 2 3 2 construction paper circles cut Example/Description Independent Problem Solving Task: A Trip to Adventure Land. Based on the peer review, give the campers the opportunity to revise their A Trip to Adventure Land at this time. (If the campers have revised their problems, they may play any of the differentiated instruction activities.) Topic: Fractions as Parts of Wholes or Parts of Sets Lesson objective must be stated and posted. Week 1 Lesson 1 Objective: Given a picture of fractional parts of a whole, campers use a fraction to label the representation. Week 1 Lesson 1 math vocabulary: fraction, numerator, denominator, and mixed numbers (The vocabulary words in bold are listed on page 2C in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 2C. 25
Problem Solving Closing Student Presentation A Trip to Adventure Land 20 into 4 equal pieces per circle Math vocabulary cards for the math word wall Paper Pencils A Trip to Adventure Land Open Response for each student Pencils Manila folders Teacher pages 95 99. Copies of the PPS Intermediate Problem Solving In your definition of what is a mixed number you will have already made 2 circles and divided them into 4 equal pieces per circle for a total of 8 pieces. You will take 7 of those 8 pieces and show them to the campers. You will tell the campers that those are 7 fourths and write the improper fraction of 7/4. Then, you will take the 7/4 and show the campers how the improper fraction is actually the mixed number of 1 ¾ by combining 4 of the fourths into a whole and having 3 of the fourths leftover. Review the Key Idea box with the campers on page 2. Complete problems #1, 5, and 13 with the campers. Have the campers complete problems #2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, and 16 independently. Once the problems are completed, review with the campers problems #2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, and 16 as a whole group. Exit Slip: All campers must complete the Reflect problem at the bottom of page 3. This problem will be used as an exit slip to check the campers understanding of the lesson s fraction concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Independent Problem Solving Task: A Trip to Adventure Land Description: Campers calculate the cost per student for a field trip. Focus: 1. Use paper and pencil algorithms to solve problems involving the division of multidigit whole numbers by 1 digit whole numbers; describe the strategies used and how they work. 2. Make reasonable estimates for whole number multiplication and division problems, and explain how the estimates were obtained. The campers will present their solutions to A Trip to Adventure Land. The teacher will select problems that will represent each level from 26
Rubric Approaching the Standard 1 / 2 to Exceeds the Standard 4+). Page 96 Rubric and PPS Intermediate Rubric Correlation: Page 96 Rubric PPS Intermediate Problem Solving Rubric Level 4 4+ and 4 Level 3 3 Level 2 2 Level 1 1 Make sure that with teacher s guidance, the campers are able to identify the examples of each of the categories in the rubric. Approaching the Standard (Levels 1 and 2), Meets the Standard (Levels 3 and 4), and Exceeds the Standard (Level 4+). The presentation of the campers work during the Closing will begin with Approaching the Standard work and end with the Exceeds the Standard work. The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. 27
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4th Grade Math Lesson Plan Template Day 10 Topic Differentiated Instruction Title Differentiated Instruction of Minutes 20 : Fraction Top It Cards 1 and 2 Fraction Top It Envelopes Scissors Multiplication Top It Everyday Math Cards Multiplication Wrestling Multiplication Wrestling Worksheet Beat the Calculator Calculator Baseball Multiplication (Advanced version) Example/Description Differentiated Instruction Menu: ~Fraction Top It (Skill: Comparing Fractions) You can introduce this game to a group of campers while the other campers are playing other games. Keep the cards in an envelope to be used during future differentiated instruction sessions. ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) ~Baseball Multiplication Advanced Version (Skill: Multiplication facts through 12s, extended facts). ~Name that (Skill: Naming numbers with expressions) 29
Worlds Level G Unit: Sense Week 1 Lesson 2 p. 4A-5 50 4 six sided dice Name that Pencils Paper : Teacher Manual pages 4A 5 Campers Workbook pages 4 5 Templates or ruler blank paper and scissors (for fraction origami) Math vocabulary cards for the math word wall Paper Pencils Topic: Fractions as Parts of Wholes or Parts of Sets Lesson objective must be stated and posted. Week 1 Lesson 2 Objective: Campers draw or make a physical representation of a given fraction. Week 1 Lesson 2 math vocabulary: numerator, denominator, fraction and physical representation. (The vocabulary words in bold are listed on page 4A in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 4A. Under the Engage heading on page 4A, complete the fraction origami section with the campers. The fraction origami activity will help the campers in actually building the fraction concept. Make sure that you model the folding and cutting of the paper to ensure that the campers move through this section quickly. Due to tight time constraints, you may want to model the folding and cutting of the paper and have the campers respond to the questions posed in the fraction origami activity instead of having the campers fold and cut out the paper themselves. Review the math vocabulary word definitions of numerator and denominator both verbally and with a pictorial representation. You can use the 1/3 fraction example in the Key Idea box. (page 4.) Explain to the campers that the 1 is the numerator because 1 of the 3 parts was shaded in. Also, explain to the campers that the 3 is the denominator because the whole is divided into 3 equal parts. Stress to the campers that the parts have to be equal/same size. 30
Have the campers complete problems #1, 3, 5, 6, 9, 10, 13, 14, 15, and 16 independently. Once the problems are completed, review with the campers problems ##1, 3, 5, 6, 9, 10, 13, 14, 15, and 16 as a whole group. Exit Slip: All campers must complete the Reflect problem at the bottom of page 5. This problem will be used as an exit slip to check the campers understanding of the lesson s fraction concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Fraction Bingo II Task: Independent Problem Solving Task Problem Solving Task Fraction Bingo Introduction 20 Fraction Bingo Task Copies of PPS Intermediate Problem Solving Rubric Manila Folders Pencils Introduce to the campers the Fraction Bingo problem solving task. The task should be kept in the campers manila problem solving folders. Review the Intermediate Problem Solving Rubric with the campers. This rubric will be used by each camper and also will be a tool during the peer review that will occur later on in the week. The Fraction Bingo s solutions should have the following: 1. Show fractions split into equal parts 2. Explain that Lynn s picture was incorrect 3. Explain why Lynn s picture was incorrect 4. Use a model to show why Lynn s picture was incorrect 5. Explain why own picture was correct The above referenced solution components need to be taken into consideration when you are selecting campers work for presentation during the Closing which will also occur later on in the week. The campers work need to be selected from the basic to the more sophisticated solutions. 31
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4th Grade Math Lesson Plan Template Day 11 Topic Differentiated Instruction and Independent Problem Solving Task Title Differentiated Instruction and Independent Problem Solving Task Fraction Bingo of Minutes 30 Fraction Top It Cards 1 and 2 Fraction Top It Envelopes Multiplication Top It Multiplication Wrestling Multiplication Wrestling Worksheet Everyday Math Cards Beat the Calculator Calculator Baseball Multiplication (Advanced version) 4 six sided dice Example/Description Differentiated Instruction Menu: ~Fraction Top It (Skill: Comparing Fractions). ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) ~Baseball Multiplication Advanced Version (Skill: Multiplication facts through 12s, extended facts). ~Name that (Skill: Naming numbers with expressions) Fraction Bingo The campers will continue to work independently on the task. The campers need to complete the Fraction Bingo task during this time so that his/her peer will be able to use the rubric to analyze his/her work during the peer review session that will occur tomorrow. The campers can refer to the rubric to help them meet the problem s expectations. 33
Worlds Level G Unit: Sense Week 1 Lesson 3 p. 6A-7 60 Name that Pencils Paper Fraction Bingo Task PPS Intermediate Problem Solving Rubric Campers Manila folders : Teacher Manual pages 6A 7 Campers Workbook pages 6 7 Math vocabulary cards for the math word wall Counters Paper Pencils 34 Topic: Fractions as Parts of Wholes or Parts of Sets Lesson objective must be stated and posted. Week 1 Lesson 3 Objective: Campers will represent and label a fraction as a part of a set. Week 1 Lesson 3 math vocabulary: set, numerator, denominator, and fraction. (The vocabulary word in bold is listed on page 6A in the teacher s manual.) Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 6A. Under the Engage heading on page 6A, complete the Skill Building section including Counter Sets. Review the Key Idea box with campers on page 6. Have the campers complete problems #1 10 independently. Once the problems are completed, review with the campers problems #1 10 as a whole group. Exit Slip: All campers must complete the Reflect problem at the bottom of page 7. This problem will be used as an exit slip to check the campers understanding of the lesson s fraction concept. Reflect: Complete the Extended Response and Real World
35 Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day.
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4th Grade Math Lesson Plan Template Day 12 Topic Differentiated Instruction and Independent Problem Solving Task Title Differentiated Instruction and Independent Problem Solving Task Fraction Bingo of Minutes 20 Fraction Top It Cards 1 and 2 Fraction Top It Envelopes Multiplication Top It Multiplication Wrestling Multiplication Wrestling Worksheet Everyday Math Cards Beat the Calculator Calculator Baseball Multiplication (Advanced version) 4 six sided dice Example/Description Differentiated Instruction Menu: ~Fraction Top It (Skill: Comparing Fractions). ~Multiplication Top It (Skill: Multiplication Facts 0 to 10) ~ Multiplication Wrestling (Skill: Partial Products Algorithm) ~ Beat the Calculator (Skill: Mental Multiplication Skills) ~Baseball Multiplication Advanced Version (Skill: Multiplication facts through 12s, extended facts). ~Name that (Skill: Naming numbers with expressions) Fraction Bingo If necessary, the campers will complete their task independently so that his/her peer will be able to use the rubric to analyze his/her work during the peer review session that will occur today. The campers can refer to the rubric to help them meet the problem s expectations. 37
Worlds Level G Unit: Sense Week 1, Lesson 4 p.8a-9 50 Name that Pencils Paper Fraction Bingo Task PPS Intermediate Problem Solving Rubric Campers Manila folders Teacher Manual pages 8A 9 Camper Workbook pages 8 9 Pattern blocks for the Strategy Building Activity Math Link Cubes (Connected cubes) Math vocabulary cards for the math word wall 38 Topic: Fractions as Parts of Wholes or Parts of Sets Lesson objective must be stated and posted. Week 1 Lesson 4 Objective: Campers construct the whole when given a fractional part. Week 1 Lesson 4 math vocabulary: whole, fractional part, numerator and denominator. (The vocabulary words in bold are listed on page 8A in the teacher s manual.) Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Strategy Building Activity on page 8A. Review the Key Idea box with the campers on page 8. Complete problem #1 with the campers. Have the campers complete problems #2 7 independently. Once the problems are completed, review with the campers problems #2 7 as a whole group. Exit Slip: All campers must complete the Reflect problem at the bottom of page 9. This problem will be used as an exit slip to check the campers understanding of the lesson s fraction concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World
Problem Solving Worktime Peer Review Fraction Bingo Peer Review 20 Paper Pencils : Fraction Bingo Task PPS Intermediate Problem Solving Rubric Highlighters (optional) Pencils Campers Manila folders Application during this lesson, the problem could be used as a math message review the following day. (Option: If the campers need additional instruction on the math concept, you may use the information found on Fractions as Parts of Wholes or Parts of Sets Week 1, Lesson 5 Review on pages 10A 11 in the teacher s manual.) Independent Problem Solving Task: Fraction Bingo Description: Campers focus in this problem is the importance of equal parts in fractions. Review the Intermediate Problem Solving Rubric with the campers. This rubric will be used by each camper during the peer review. The Fraction Bingo s solutions should have the following: - Show fractions split into equal parts - Explain that Lynn s picture was incorrect - Explain why Lynn s picture was incorrect - Use a model to show why Lynn s picture was incorrect - Explain why own picture was correct Divide the campers in partners and have them assess each other s work using the PPS Intermediate Problem Solving Rubric. You may want to use a problem that you solved or one of the student response samples to model how the campers should use the rubric. The campers should be instructed to highlight where their peer s work falls on the rubric. After the peer review is completed, give the campers an opportunity to revise their work the next day. 39
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4th Grade Math Lesson Plan Template Day 13 Topic Independent Problem Solving Task Worlds Level G Title Independent Problem Solving Task Fraction Bingo Unit: Sense Week 2, Lesson 1 p.12a-13 of Minutes 20 50 : Fraction Bingo Task PPS Intermediate Problem Solving Rubric Pencils Campers Manila folders Teacher Manual pages 12A 13 (includes math background/ Intro.) Camper Workbook pages 12 13 Sheets of paper and crayons or markers (for Concept Building) Example/Description Independent Problem Solving Task: Fraction Bingo Based on the peer review, give the campers the opportunity to revise their Fraction Bingo task at this time. (If the campers have revised their problems, they may play any of the differentiated instruction activities.) Topic: Equivalent Fractions Lesson objective must be stated and posted. Week 2 Lesson 1 Objective: Campers identify and name equivalent fractions Week 2 Lesson 1 math vocabulary: equivalent fractions, numerator, and denominator (The vocabulary words in bold are listed on page 12C in the teacher s manual). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 12C. Under the Engage heading on page 12C, complete Strategy Building section Equivalent Fractions and Skill Building section Folding Frenzy. Review the Key Idea box with the campers on page 12. Complete problem #1 with the campers. Have the campers complete problems #2 12 independently. Once the problems are completed, review with the campers problems #2 12 as a whole 41
Problem Solving Closing Student Presentation Fraction Bingo 20 Blackline Master B17 Fraction Bars for Strategy Building Math vocabulary cards for the math word wall Paper Pencils : Fraction Bingo Task PPS Intermediate Problem Solving Rubric Pencils Campers Manila folders group. Exit Slip: All campers must complete the Reflect problem at the bottom of page 13. This problem will be used as an exit slip to check the campers understanding of the lesson s equivalent fraction concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. The campers will present their solutions to Fraction Bingo problem. The teacher will select problems that will represent each level from Approaching the Standard 1 / 2 to Exceeds the Standard 4+. Make sure that with teacher s guidance, the campers are able to identify the aspects of each of the levels on the rubrics. The presentation of the campers work during the Closing will begin with Approaching the Standard work and end with the Exceeds the Standard work. 42
4th Grade Math Lesson Plan Template Day 14 Topic Math Read Aloud Title Math Read Aloud and Related Activity of Minutes 20 Full House An Invitation to Fractions by Dayle Ann Dodds Math vocabulary cards for the math word wall. Copies of the read aloud activity Lasagna at the Strawberry Inn Pencils, crayons, paper Example/Description Read the story to the class and be sure to put lots of enthusiasm into your voice! Discuss big ideas. Bring the campers attention to the house at the bottom of the page where the rooms will light up to show the fractions. At the end of the story, there will be 6 of the 6 rooms filled which is 6/6 = 1. Make sure that the campers realize that the whole is represented by the rooms in the house 6 rooms which is the denominator. As each of the rooms are filled by guest, that number will be the numerator. Math vocabulary words/concepts for the story are as follows: whole, numerator, and denominator. Please make sure that these words are placed on the math word wall. The campers will be able to complete the fraction read aloud activity associated with Full House An Invitation to Fractions by Dayle Ann Dodds. Once the read aloud activity has concluded and the campers are sharing out their answers, make sure that you mentioned that 3/6 of the rooms being filled is the same as ½ of the rooms being filled because they are equivalent fractions. This will help lay the foundation for the upcoming equivalent fraction lesson. The problems on the read aloud activity are tiered from the more basic type of problem with two of the six rooms having guest to the more complex with 5/6 of the rooms were filled and 1/6 of the rooms were still vacant. When applicable, post the completed read aloud activities in the classroom. 43
Worlds Level G Independent Problem Solving Task Unit: Sense Week 2 Lesson 2 p. 14A-15 Queen Arlene s Dilemma Introduction 50 20 Teacher Manual pages 14A 15 Campers Workbook pages 14 15 Pair of dot cubes for each student Math vocabulary cards for the math word wall Calculators (to check products) Paper Pencils Markers Queen Arlene s Dilemma Open Response for each camper Pattern blocks Pencils Topic: Equivalent Fractions Lesson objective must be stated and posted Week 2 Lesson 2 Objective: Campers use multiplication to create equivalent fractions. Week 2 Lesson 2 math vocabulary: equivalent fractions and area model. (The vocabulary words in bold are listed on page 14A in the teacher s manual.). Math vocabulary words, their definition, and a pictorial representation when applicable must be posted in the classroom on the math vocabulary word wall. Complete the Warm Up Concept Building section on page 14A. Under the Engage heading on page 14A, complete Skill Building section Luck of the Roll. Review the Key Idea box with the campers on page 14. Complete problems #1 3 with the campers. Have the campers complete problems #4, 6, 8, 10, 12, 14, 16, and 18. Once they are completed, review with the campers problems #4, 6, 8, 10, 12, 14, 16, and 18. Exit Slip: All campers must complete the Reflect problem at the bottom of page 15. This problem will be used as an exit slip to check the campers understanding of the lesson s equivalent fraction concept. Reflect: Complete the Extended Response and Real World Application sections. If you do not complete the Real World Application during this lesson, the problem could be used as a math message review the following day. Independent Problem Solving Task: Queen Arlene s Dilemma Description: Campers divide regions into fractional parts according to a number story. Focus: 1. Read, write, and model fractions; solve problems involving fractional parts of a region; describe and explain strategies used. 44
Manila folders Teacher pages 105 109. Copies of the PPS Intermediate Problem Solving Rubric 2. Use manipulatives and mental arithmetic to solve problems involving the addition of fractions with like and unlike denominators; describe the strategies used. Review the rubric on page 106 and the sample of student responses on pages 107 109 when having the campers present their papers and for additional information. The campers will be using the PPS Intermediate Problem Solving rubric to evaluate their work. The campers will continue work on this problem during the week as outlined in the lesson plans. The campers problems need to be kept in a manila folder so that they will be able to independently work on the task. 45