Grade Level: 1 Subject Area(s): __ Reading, Writing, X Mathematics Title: Fractions GT Differentiated Exemplar Lesson Mathematics TEKS/Student Expectations: __ Science __ Social Studies Essential Question(s): How can you identify equal and unequal parts in two-dimensional shapes? How can a shape be separated into two equal shares? How can a shape be separated into four equal shares? Assessment(s): __ Pre-Assessment X Formative __ Summative GT Scope and Sequence Skills: st (Aligned with 21 Century Skills Framework & College and Career Readiness Standards) X Creative Thinking X Critical Thinking __ Communication __ Research Student Learning Styles: __ Auditory X Visual/Spatial X Kinesthetic __ Other 1.6. Geometry measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to: G. partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words; and H. identify examples of halves and fourths Elements of Depth and Complexity: X Language of the Discipline X Details __ Patterns __ Trends X Rules __Ethical Considerations __Unanswered Questions __Over Time __ Different Perspectives __ Big Ideas Lessons and Activities X Whole Class X Small Group X Independent Activity PART ONE: Whole Class: After introducing the concept of equal and unequal parts (see CRMs or watch the BrainPOP Jr. movie on “Equivalent Fractions” (see resources)) read Jump, Kangaroo, Jump! by Stuart Murphy or another book to introduce halves and fourths (see resources). Then, call up a few students to stand up in front of the class. Ask questions such as: What fraction of these students are boys? What fraction of these students are girls? What fraction of these students are wearing shoes with laces? What fraction of these students have brown eyes? After students respond to each question model writing the fraction on the board. When the students grasp the concept, invite individual students to write their responses on the board (or have everyone write their own responses on individual dry erase boards). Students can also be asked to choose 4 students and come up with their own statement using the model ___ out of ___ students are ___________. Resources: BrainPOP Jr.- Equivalent Fractions BrainPOP Jr.- More Fractions Tree Frog Treasure Game Advanced Academic Services Austin Independent School District Next, read another fraction book such as Full House: an Invitation to Fractions (see resources) or watch Discover Education’s video segment on “Fractions: Understanding Part to Whole Concepts” to reinforce the concept of fractions (see resource list for more information). Whole Class: This is an activity to use at the Computer Lab or on your classroom computers. Demonstrate selecting one of the “Pizza Task Cards” (see below for two pages of cards or download all nine pages free at this link: Free Download at Teachers Pay Teachers) and then go to http://www.abcya.com/pizza.htm. At the website, students will make a pizza following the task card/recipe. Once students drag all of the indicated toppings onto the pizza, click “cook.” When the pizza is “ready” there will be the option to start over, print, or save the picture. *The task cards included all address either halves or fourths. If desired, you can modify the cards to include both on one or additional fractions. PART TWO: On Grade Level: Provide each student with a large circle drawn on a piece of light brown construction paper. Students will cut out the circle and then in a given amount of time (for example 10 minutes) they will draw sauce, toppings, etc. Then, they will fold the circle into equal parts (fold in half once and then fold in half again). Then students will glue some pieces on one side of the recording sheet to indicate how many pieces they ate and then some on the other size to indicate how many pieces they didn’t eat (see recording sheet below). Students must use all pieces. They will fill in the sentences with a fraction. For example “I ate ¾ of the pizza. I didn’t eat ¼ of the pizza.” They can also glue the pieces on a blank sheet of paper into two groups and write “I ate ___ pieces of pizza.” “I gave __ pieces to ______.” GT Level Group: Part One: To practice their fraction skills, students will play “Fraction Frenzy: A Scoot Game” (see below or click: Free Download at Teachers Pay Teachers). Print out and cut up the cards. Students will record the fractions onto the recording sheet (see below). Cards may be put out in various places in the room to encourage movement, or they can work at a desk or table. Once the students record all of their answers, they should compare answers with a friend and discuss any answers that they got that weren’t the same. Part Two: Basic Fractions Menu- Students will choose at least three of the various activities one from each shape (see recording sheet below). Then, they will share their results with the other students who are also completing the Basic Fractions menus. Whole Class: On level students will display their pizza fractions and GT level group will share their Basic Fractions Menu products. Give me half! Murphy, Stuart J. (Note: 109 copies available in AISD librari Your librarian can help you get a copy if it not in your school library.) Jump, Kangaroo, Jump! Murphy, Stuart J. (Note: 71 copies available in AISD librarie Your librarian can help you get a copy if it not in your school library.) Full House: an Invitation to Fractions Dodds, Dayle Ann (Note: 13 copies in AISD libraries. Your librarian can help you get a copy if it is no in your school library.) Advanced Academic Services Austin Independent School District Extension: Download the free App from iTunes called “Pizza Fractions 1” (see Resources). This will reinforce and practice identifying fractions. There is a free game in BrainPOP Jr. called “Tree Frog Treasure” that also reinforces the concept of fractions (see Resources). Fraction Action Leedy, Loreen (Note: 121 copies in AISD libraries. Your librarian can help you get a copy if it is no in your school library.) The Lion's Share McElligott, Matthew (Note: 39 copies available in AISD librari Your librarian can help you get a copy if it not in your school library.) Advanced Academic Services Austin Independent School District . The Wishing Club: a Story About Fraction Napoli, Donna Jo (Note: 13 copies available in AISD librarie Your librarian can help you get a copy if it not in your school library.) K-2 Search Results for Fractions Fractions: Understanding Part to Whole Concepts (3:27) Basic Fractions Menu Westphal, L. E. (2011). Differentiating Instruction with Menus Math Grades K-2. Waco, Tex.: Prufrock Press. Advanced Academic Services Austin Independent School District Pizza Fractions 1 Free App from iTunes Advanced Academic Services Austin Independent School District Advanced Academic Services Austin Independent School District Advanced Academic Services Austin Independent School District Advanced Academic Services Austin Independent School District 1 2 What f r action is green? 4 3 What f r action is blue? 5 6 What f r action is blue? Advanced Academic Services Austin Independent School District 7 8 What f r action is red? What f r action is blue? 10 9 11 12 What f r action is blue? Advanced Academic Services Austin Independent School District 13 14 15 What f r action is blue? 16 What f r action is blue? 17 18 What f r action is red? Advanced Academic Services Austin Independent School District 19 20 21 What f r action is blue? 22 23 What f r action is green? 24 What f r action is blue? Advanced Academic Services Austin Independent School District Fr action Fr enzy Name: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12 . 13. 14. 15. 16. 17. 18. 19. 2 0. 2 1. 22. 2 3. 2 4. Advanced Academic Services Austin Independent School District Advanced Academic Services Austin Independent School District Process Assessment Teacher observes the following: Process Observation - Frequency Student uses correct terminology during interactions with peers and teacher. Seldom/Never Occasionally Often Consistently Process Observation – Frequency The student is able to guess the genre of a book by its criteria. Seldom/Never Occasionally Often Consistently Process Observation – Quality of Creative Thinking Typical of Peers Student uses creativity throughout the stages of the task. Fluent Thinker Flexible Thinker Unique and Original Process Observation – Quality of Analytical Thinking Typical of Peers Student analyzes information during the task. Fluent Thinker Flexible Thinker Unique and Original Product Assessment Score Genres Booklet Critical Thinking 3 Student compares and contrasts fiction and non-fiction books. The content highlights unique information for the two genres and shows connections to books not previously read aloud in class. Student applies knowledge of the distinguishing characteristics of genres to make predictions and verify the predictions. 2 Student compares fiction and nonfiction books. Includes distinctive information for each genre in the booklet. The content easily connects to the books read aloud in class. Student applies knowledge of the distinguishing characteristics of genres to make predictions. Includes distinguishing information for each genre in the booklet. Student predicts the contents of a book. 1 Student distinguishes between fiction and non-fiction books. Advanced Academic Services Austin Independent School District