Imagine Math Application Task (Grade 3): Teacher Lesson Plan
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Design a Dinosaur Bone Exhibit Grade 3 or Number and Operations—Fractions 45 Min. CCSS MATH LESSON OBJECTIVE LANGUAGE OBJECTIVES 3.NF.A.2, 3.NF.A.3.A–B Use models to generate equivalent Understand the words equivalent, fossil, fractions. fraction, and shelf and apply them in context. TEKS MATH 3.3.A, 3.3.F PREREQUISITE SKILLS QSC Decompose fractions into unit fractions and compose fractions using unit fractions QSC116 with denominators of 2, 3, 4, 6, and 8. LESSON OVERVIEW MATERIALS Students organize dinosaur bones based on fractional • Fraction bars lengths. They design exhibits of 4 rows with 3 bones on each • Vocabulary Knowledge Rating Sheet row. They identify 2 equivalent fractions in each row and analyze their findings. Science Background Throughout the task, students should discuss the A dinosaur bone is an example of a fossil. Fossils are meanings of the words within the context of the the remains of an organism, such as a dinosaur, that situation. At the end of the task, ask students to have been preserved as rock. What is an organism? reassess their word knowledge using the same It could be an animal or a plant or even bacteria. four-point scale. Every living thing is an organism. People are Vocabulary Knowledge Rating Sheet organisms. When organisms die, their remains turn Word 1 2 3 4 Write the meaning Draw a picture I have never I have I can define I can of the word seen/heard of seen/heard of the word use/teach the into fossils over a very long period of time. the word the word word Fossils provide evidence about ancient life— including plants, not just animals. Everything that scientists know about dinosaurs comes from studying their fossils. For example, scientists can tell what dinosaurs ate by looking at their teeth. Dinosaur exhibits at museums attract many visitors each year. For example, in the Dinosaur Wing at the American Museum of Natural History in New Copyright © Imagine Learning, Inc. York City, visitors can view reconstructed models or “mounts” of dinosaurs such as Tyrannosaurus rex, Stegosaurus, and Triceratops. Task Application In the context of designing an exhibit of dinosaur Vocabulary Knowledge Rating bones for a museum, students understand Before students begin the task, pre-assess student relationships between fractions and how to recognize knowledge of words used in the task. Write the equivalent fractions. Students represent and identify words equivalent, fossil, fraction, and shelf for equivalent fractions on number lines, and they use students to see. Ask students to individually say visual fraction models (fraction bars) to check their the word and then write the word on a Vocabulary answers for reasonableness. Knowledge Rating Sheet using the ratings from 1–4 In section A, students fill in equivalent fractions on as shown. Once students have self-assessed, ask number lines, and they write number sentences students to write what they think the word means, to express equivalence. Students who need help in their own words, on their rating sheet. Then, ask recognizing the equivalent fractions may benefit from them to draw a picture of the word. using visual fraction models such as fraction circles or bars. Design a Dinosaur Bone Exhibit Number and Operations—Fractions | Grade 3 Copyright © Imagine Learning, Inc. 1 In section B, students organize the fractions in 4 rows Watch Out: Common Misconceptions of 3 fractions each, with each row containing at least Museum exhibits in the United States often express 2 equivalent fractions. Remind students to circle the lengths in customary units such as inches and feet equivalent fractions in each row. because these units are familiar to many museum In section C, students select one of their designs as visitors. In most scientific fields such as paleontology, the exhibit, and they analyze relationships between however, measurements are expressed in metric units equivalent fractions in the display. such as millimeters, centimeters, and meters. In section D, students use fraction bars to check Customary rulers are usually divided into eighth 1 1 3 that the fractions circled in each row are equivalent. inches, with locations marked for 4 , 2 , and 4 If students have difficulty understanding fraction inches. Encourage students to focus on equivalent equivalence, reinforce visual understanding by using fraction relationships involving halves, fourths, and other visual models such as fraction circles or blocks. eighths. Sample Rubric Score Criteria Students accurately complete the number lines and number sentences in section A, and in section 3 B they develop four accurate designs for a display of dinosaur bones based on equivalent fractions. Their answers in sections C and D accurately apply math concepts. Students complete the number lines and number sentences in section A with one or two errors, and in section B they develop at least two accurate designs for a display of dinosaur bones based on 2 equivalent fractions. Their answers in sections C and D apply math concepts with no more than one minor error. Students complete the number lines and number sentences in section A with seven or fewer errors, and they develop at least one accurate design in section B for a display of dinosaur bones based 1 on equivalent fractions. Their answers in sections C and D are mostly inaccurate statements and demonstrate a poor understanding of math concepts. Students present a very limited or rudimentary response to the assignment. They complete less than half of the number lines and number sentences in section A accurately, make inaccurate designs or 0 no designs for a display of dinosaur bones based on equivalent fractions, and include very general or incomplete answers to the questions. Design a Dinosaur Bone Exhibit Number and Operations—Fractions | Grade 3 Copyright © Imagine Learning, Inc. 2 STEM Activity Suggestions NGSS SCIENCE SCIENCE AND ENGINEERING PRACTICE MATHEMATICAL PRACTICE NGSS 3-LS4-1 SEP4 MP4 STEM OBJECTIVE Connect the sizes of fossils to the sizes of the organisms they belong to. 1. Build Background Ask students to investigate the smallest dinosaur represented by the new fossil. relationship between the size of a fossil and the They should present their life-size drawing to their size of the organism the fossil came from. Guide class, explaining how they used mathematical students to compare the sizes of fossils used to reasoning to create their drawings of their construct the skeletons of large dinosaurs, such as dinosaur’s physical attributes. Apatasaurus, to those of smaller dinosaurs, such 1 3. Guide Teams Encourage students to draw the as Compsognathus. For example, a 4 -inch fossil recently discovered in England is the neck bone of fossil bone first, measuring with a ruler to make an adult dinosaur estimated to be no more than sure it is the correct length before drawing 2 the rest of the dinosaur in the available space. 15 3 inches long, making it the second smallest known feathered dinosaur after Anchiornis, which Students should measure and add labels for has an estimated length of 13 inches. lengths of various bones and for the length of the entire dinosaur as well. Remind students to 2. Introduce the STEM Activity Present a scenario cite any sources that helped them create their that involves a backyard discovery of a dinosaur drawing. bone that measures less than 1 inch long. Have students work in groups to research small 4. Assess Results Evaluate student drawings dinosaur species and to consider how they used and presentations based on the scientific their size and other physical attributes to defend and mathematical reasoning behind their themselves from larger predators. Then have reconstructions (NGSS 3-LS4-1, SEP4) as well students create a life-sized drawing of the new as the accuracy of their labeled measurements (MP4). Design a Dinosaur Bone Exhibit Number and Operations—Fractions | Grade 3 Copyright © Imagine Learning, Inc. 3 Answer Key Name: APPLICATION TASK Design a Dinosaur Bone Exhibit SAMPLE EXHIBIT DESIGN Goal Essential Question How can we tell if two Use models to fractions are equivalent? 1 3 1 Shelf 1 generate equivalent 2 6 4 fractions. In this task, you are designing a dinosaur 2 4 2 Shelf 2 ? Why Study Dinosaur bone exhibit. You will create four different 4 8 8 Bones? designs using the 12 bones here and then 2 4 1 Dinosaur bones select one of the designs as your solution. Shelf 3 may provide clues 3 6 3 about why dinosaurs The display case has four shelves. Each shelf 3 6 2 suddenly disappeared holds 3 bones and at least 2 equal-length Shelf 4 65 million years ago. 4 8 6 bones should be on each shelf. 1 2 4 in. 8 in. Connect to Reading 1 2 3 in. 6 in. 1 3 2 in. 6 in. 2 4 4 in. 8 in. She Sold Seashells and Fossils, Too! 2 4 3 in. 6 in. 3 6 4 in. 8 in. Digging for Dinos Did You Know? Sometimes a scientist can tell what a dinosaur looked like by studying a single bone. Design a Dinosaur Bone Exhibit Number and Operations—Fractions | Grade 3 Copyright © Imagine Learning, Inc. 1 A Understand Name: To help you find equal-length bones, find equivalent fractions on a Talk about It Talk about how to solve number line. The marks on the number line represent the lengths of this problem with a partner. Discuss dinosaur bones in inches. Label each of the marks that have blank how the number lines in section A help you meet the requirements of the task. fractions. ACADEMIC AND MATH VOCABULARY 0 1 1 0 2 3 4 1 Read each definition. Use these words 2 6 6 6 in discussions and responses to thinking questions.