Grade Level: 5 Title: Working with Decimals Essential Question(s): Subject Area(s): Reading, Writing, X Mathematics Science GT Differentiated Exemplar Lesson Mathematics TEKS/Student Expectations: Social Studies How can you record addition and subtraction of decimals through thousandths? What strategies can you use to place a decimal point in a product? How can you use a model to multiply decimals? How can you use a model to divide a decimal by a whole number? How do you know you have the correct number of decimal places in your product? How can you divide decimals by whole numbers? Assessment(s): Pre-Assessment X Formative X Summative GT Scope and Sequence Skills: (Aligned with 21 st Century Skills Framework & College and Career Readiness Standards) X Creative Thinking X Critical Thinking X Communication Research Student Learning Styles: Auditory X Visual/Spatial Kinesthetic X Other: Logical/Mathematical Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. The student is expected to: 5.3D represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models; 5.3E solve for products of decimals to the hundredths, including situations involving money, using strategies based on place value understandings, properties of operations, and the relationship to the multiplication of whole numbers; 5.3F represent quotients of decimals to the hundredths, up to four digit dividends and two digit whole number divisors, using objects and pictorial models, including area models; 5.3G solve for quotients of decimals to the hundredths, up to four digit dividends and two digit whole number divisors, using strategies and algorithms, including the standard algorithm 5.3K add and subtract positive rational numbers fluently; Elements of Depth and Complexity: X Language of the Discipline X Details Patterns Trends X Rules Ethical Considerations Unanswered Questions Over Time X Different Perspectives Big Ideas Whole Class Small Group X Independent Activity PART ONE: Lessons and Activities Whole Group: Introduce the Decimal Challenge Menu options, explaining the available options and providing examples. Consider Resources: Graph paper or internet access for crossword puzzle Cube template
having students complete one item in a small group to check each other s work and get started, or consider completing one option as a whole group. Define the time frame with which you would like all menu items completed. On Grade Level: After instruction on adding, subtracting, multiplying and dividing decimals, students will complete activities on the Decimal Challenge Menu (see attached below). GT Level Group: After instruction on adding, subtracting, multiplying and dividing decimals, students will complete activities on the Decimal Challenge Extended Menu (see below). The extension includes working to the thousandths place, rather than hundredths. Also, the menu activities MUST include all four mathematical operations, ensuring students are working extensively with multiplying and dividing decimals. Students must calculate tax when choosing the building a family dinner plan. Finally, students must include some division work where the problems have decimals in the divisor and dividend. Extracted from Westphal, Laurie. Differentiating Instruction with Menus: Math. Prufrock Press, Inc. Microsoft Powerpoint or other slideshow software Blank index cards (for tic tac toe) 11x17 paper or poster board (for number path activity) Card stock (for cubes) Decimal Challenge Menus Adapted from Westphal, Laurie. Differentiating Instruction with Menus: Math. Prufrock Press, Inc.
The Decimal Challenge Guidelines: 1. You may complete as many of the activities as you would like within the time period given. 2. Your goal is 90-100 points. You may earn up to 10 points extra credit (for totals over 100). 3. You may be as creative as you like within the guidelines listed below. 4. You must show your plan to your teacher by. 5. All work must be to the hundredths place. 6. Activities may be turned in at any time during the working time period. They will be graded and recorded on this sheet as you continue to work, so keep up with this rubric! Plan to Do Point Activity to Complete Value Create a cube game using 3 cubes. In this game, the players will roll 2 dice to get decimal numbers and 1 die to get the mathematical function they must complete. Create a set of game rules and provide an answer card for all of the possible combinations. Write a letter to your parents about how decimals are part of our daily life. Include examples and details to prove your point. 25 Create a Powerpoint presentation that teaches another student how to add, subtract, multiply, and divide decimals. 25 Create a project cube with real-world examples of adding, subtracting, multiplying, and dividing decimals. 20 Convert and rewrite one of your favorite recipes from fractions into decimals. 10 Create a decimal crossword puzzle in which all of the answers are written in words and all of the clues are equations with the 4 mathematical operations. Using a menu from your favorite restaurant, create a plan for what your family would eat. Create a detailed list and cost for each 25 person s menu selection (including drinks). Total the cost for the entire meal. Create a tic-tac-toe game where each square is an answer and the players must draw a card with an equation involving decimals and one of the 4 mathematical operations (addition, subtraction, multiplication, division). They must solve the equation to place an X or O on the correct square. Create a number path starting with the number 13.56 and ending with 92.41. Your path must have at least 7 steps, and include addition, subtraction, and multiplication. Show your path on a poster, including all work. Free choice: Must be outlined on a proposal form and approved 10- before beginning work. Total number of points you are planning to earn. Date Completed Total points earned: Points Earned I am planning to complete activities that could earn up to a total of points. Teacher s intials Student s signature
The Decimal Challenge Extended Menu Guidelines: 1. You may complete as many of the activities as you would like within the time period given. 2. Your goal is 90-100 points. You may earn up to 10 points extra credit (for totals over 100). 3. You may be as creative as you like within the guidelines listed below. 4. You must show your plan to your teacher by. 5. All work must be to the thousandths place. 6. You must include ALL 4 mathematical operations in your activities and division must include some problems with decimals in the divisor and dividend. 7. Activities may be turned in at any time during the working time period. They will be graded and recorded on this sheet as you continue to work, so keep up with this rubric! Plan to Do Point Activity to Complete Value Create a cube game using 3 cubes. In this game, the players will roll 2 dice to get decimal numbers and 1 die to get the mathematical function they must complete. Create a set of game rules and provide an answer card for all of the possible combinations. Write a letter to your parents about how decimals are part of our daily life. Include examples and details to prove your point. 25 Create a Powerpoint presentation that teaches another student how to add, subtract, multiply, and divide decimals. 25 Create a project cube with real-world examples of adding, subtracting, multiplying, and dividing decimals. 20 Convert and rewrite one of your favorite recipes from fractions into 10 decimals. Create a decimal crossword puzzle in which all of the answers are written in words and all of the clues are equations with the 4 mathematical operations. Using a menu from your favorite restaurant, create a plan for what your family would eat. Create a detailed list and cost for each person s menu 25 selection (including drinks). Total the cost for the entire meal, without tax. Calculate the tax on the meal, using 8.25% as the tax rate, give new total. Create a tic-tac-toe game where each square is an answer and the players must draw a card with an equation involving decimals and one of the 4 mathematical operations (addition, subtraction, multiplication, division). They must solve the equation to place an X or O on the correct square. Create a number path starting with the number 13.561 and ending with 92.419. Your path must have at least 7 steps, and include addition, subtraction, and multiplication. Show your path on a poster, including all work. Free choice: Must be outlined on a proposal form and approved before 10- beginning work. Total number of points you are planning to earn. Date Completed Total points earned: I am planning to complete activities that could earn up to a total of points. Teacher s intials Student s signature Points Earned
Process Assessment Teacher observes the following: Process Observation - Frequency: Student demonstrates inquiry skills throughout the stages of the tasks. Seldom/Never Occasionally Often Consistently Process Observation Frequency: Student uses language of the discipline during interactions with peers and teacher Seldom/Never Occasionally Often Consistently Process Observation Quality: Student ideas are creative and original throughout the task. Typical of Peers Fluent Thinker Flexible Thinker Unique and Original Process Observation Quality: Student uses background information to form appropriate responses. Typical of Peers Fluent Thinker Flexible Thinker Unique and Original Product Assessment You are encouraged to design your own rubric. Below are useful links to support your use of rubrics in the classroom: RubiStar: http://rubistar.4teachers.org/; Teachnology: http://www.teach-nology.com/web_tools/rubrics/; Rubrics for Teachers: http://www.rubrics4teachers.com/