Sort Two-Dimensional Shapes

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1 LESSON 12.1 Sort Two-Dimensional Shapes FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards Learning Objective 1.G.A.1 Distinguish between deﬁning attributes (e.g., triangles are closed and threesided) versus non-deﬁning attributes (e.g., color, orientation, overall size); build and draw shapes to possess deﬁning attributes. Use deﬁning attributes to sort shapes. MATHEMATICAL PRACTICES (See ematical Practices in GO! in the Planning Guide for full text.) MP6 Attend to precision. MP7 Look for and make use of structure. MP8 Look for and express regularity in repeated reasoning. F C R Coherence: Standards Across the Grades Before Grade 1 After K.G.A.2 1.G.A.1 2.G.A.1 F C R Rigor: Level 1: Understand Concepts...Share and Show ( Checked Items) Level 2: Procedural Skills and Fluency...On Your Own, Practice and Homework Level 3: Applications...Think Smarter and Go Deeper Language Objective Children sort two-dimensional shapes into piles and describe their common attributes. Materials Board FC R For more about how GO! fosters Coherence within the Content Standards and ematical Progressions for this chapter, see page 667J. About the Professional Development Teaching for Depth In this lesson about two-dimensional shapes, children distinguish between deﬁning attributes, such as number of sides and being closed or open, and non-deﬁning attributes, such as color, orientation, and overall size. They learn that both common and different looking two-dimensional shapes, also known as ﬂat or plane shapes, can be sorted in more than one way. First graders will approach this task with varying levels of geometric thinking: Levels 0 2 of the 5 levels described by Pierre and Dina Van Hiele-Geldof (1959). Level 0: Visualization: I put shapes together that look alike. Level 1: Analysis: I put all the shapes with four sides into one group. Level 2: Informal Deduction: A rectangle has 4 right angles. A square has 4 right angles. So a square is also a rectangle. Professional Development Videos 671A Chapter 12 Interactive Student Edition Personal Trainer on the Spot Video Animated Models itools: Geometry HMH Mega

Daily Routines Common Core Problem of the Day 12.1 Word of the Day model There are 3 flowers in each pot. How many flowers are in 2 pots? Make a model to solve.

Vocabulary circles, rectangles, sides, square, triangles, vertices Interactive Student Edition Multimedia Glossary e 1 ENGAGE with the Interactive Student Edition Essential Question How can you use

Have children point out the different shapes they see in the classroom. Learning Activity You might have children model the lesson by using attribute blocks to draw two-dimensional shapes.

a circle, a triangle, and a rectangle Vocabulary Builder Sides and Vertices Materials Vocabulary Cards vertex and side (See eteacher Resources) Give each child Vocabulary cards for side and vertex

2 Daily Routines Common Core Problem of the Day 12.1 Word of the Day model There are 3 flowers in each pot. How many flowers are in 2 pots? Make a model to solve. 6 flowers To build fluency, have children explain how a model is different from a picture. Vocabulary circles, rectangles, sides, square, triangles, vertices Interactive Student Edition Multimedia Glossary e 1 ENGAGE with the Interactive Student Edition Essential Question How can you use attributes to classify and sort two-dimensional shapes? Making Connections Invite children to name the different shapes they know. Have children point out the different shapes they see in the classroom. Learning Activity You might have children model the lesson by using attribute blocks to draw two-dimensional shapes. Direct children s attention to the shapes drawn by the plane. How many shapes do you see? 3 What shapes are drawn in the sky? a circle, a triangle, and a rectangle Vocabulary Builder Sides and Vertices Materials Vocabulary Cards vertex and side (See eteacher Resources) Give each child Vocabulary cards for side and vertex and introduce the words. Tell children a vertex is a corner on a shape where two sides meet. The word for more than one vertex is vertices. Draw a square on the board. Point to a side and ask if it is a side or vertex. Have children hold up the card with the correct word. Point to a vertex and do the same. Repeat with a rectangle and a triangle. one of the ways in which the square and triangle are different from the circle. Possible answer: the rectangle and triangle have straight sides and the circle has curved sides Literacy and ematics After viewing the digital lesson, choose one or more of the following activities. Have children work with a partner to make a list of real-world objects that are in the shape of a rectangle, circle, or triangle. Guide children in creating a poster using cutouts of circles, rectangles, and triangles. Literature Connection From the Grab-and-Go Differentiated Centers Kit Children read the book and identify shapes of signs. How can you use attributes to classify and sort two-dimensional shapes? Signs Shape Up 671B

LESSON 12.1 2 EXPLORE Listen and Draw Read the following problem aloud to the class. Devon wants to sort these shapes to show a group of triangles and a group of rectangles.

3 LESSON EXPLORE Listen and Draw Read the following problem aloud to the class. Devon wants to sort these shapes to show a group of triangles and a group of rectangles. Draw and write to show how Devon sorts the shapes. Point out that these are two-dimensional shapes, and are also known as flat shapes or plane shapes. How are the shapes alike and different? number of sides/vertices, color, size, open or closed How can you sort these shapes into two groups? Possible answers: rectangles/triangles, red/blue, 3 sides/4 sides, open/closed, big/small Are there some shapes that are not triangles or rectangles? How do you know? Possible answer: Yes. The open shapes are not triangles or rectangles because their sides are not closed. Can you sort by color to show a group of triangles and a group of rectangles? Explain. No. Rectangles and triangles would be in both groups. Can you sort by size to show a group of triangles and a group of rectangles? Explain. No. Rectangles and triangles would be in both groups. How can you sort a group of triangles and a group of rectangles? by the shape Talk MP6 Attend to precision. Use Talk to focus on children s understanding of the defining attributes of two- dimensional shapes. 1.G.A.1 Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes. Sort Two-Dimensional Shapes Essential Question How can you use attributes to classify and sort two-dimensional shapes? Listen and Draw Draw to sort the shapes. Write the sorting rule. Possible sorting is shown. red triangles blue Talk: Possible answer: The two open shapes. One has three sides, but it is not a triangle because it is open, not closed. The other has 4 sides, but is not a rectangle because it is open, not closed. FOR THE TEACHER Read the following aloud. Devon wants to sort these shapes to show a group of triangles and a group of rectangles. Draw and write to show how Devon sorts the shapes. blue Talk Geometry 1.G.A.1 MATHEMATICAL PRACTICES MP6, MP7, MP8 rectangles MATHEMATICAL PRACTICES 6 Explain Are there shapes that did not go in your groups? Chapter 12 Lesson 1 six hundred seventy-one 671 red blue red ELL Strategy: Illustrate Understanding Have children illustrate their understanding of two-dimensional shapes. Draw a triangle. This is a triangle. It has 3 sides and 3 vertices. Ask children to draw triangles. Ask them to count the three sides of the triangles they drew. Yes, that is a triangle; it has 3 sides and 3 vertices. If the child did not draw a triangle, repeat the directions and show an example. Repeat with other shapes. Reteach 12.1 Sort Two-Dimensional Shapes Circles are curved Triangles have and closed. 3 sides and 3 vertices. Read the sorting rule. Circle the shapes that follow the rule sides 2. curved and closed Rectangles have 4 sides and 4 vertices. 3 Differentiated 2 1 Reteach A square is a special kind of rectangle. Enrich 12.1 Shape Groups Cross out the shapes that do not belong. 1. We have 4 vertices. We have 4 sides. All of our sides are the same length. 2. We have more than 2 sides. We do not have 4 sides. Draw a shape to solve. 3. I have 3 vertices. I have 3 sides. 4. I have 4 sides. I have 4 vertices. My sides are not all the same length. Instruction Enrich Accept any triangle. Accept any quadrilateral with unequal sides vertices Writing and Reasoning Draw two different shapes that have 4 vertices and 4 sides. Possible answer is shown. 671 Chapter 12 Chapter Resources 12-5 Reteach Chapter Resources 12-6 Enrich

4 3 EXPLAIN Here are some ways to sort two-dimensional shapes. curved and closed shapes circles Share and Show MATH BOARD Model and Draw closed shapes closed shapes with 3 sides with 4 vertices triangles Read the sorting rule. Circle the shapes that follow the rule vertices (corners) 2. not curved A square is a special kind of rectangle. rectangles THINK Vertices (corners) are where the sides meet. Model and Draw MATHEMATICAL PRACTICES MP7 Look for and make use of structure. Work through the model with children. Point out that a square is a special kind of rectangle because it has four sides that are all the same length. What do you notice about all of the shapes in the first group? They are all curved and closed. To be a triangle, does the size define the shape? Does the color define the shape? Explain. No. A triangle can be any size or color, but it always has 3 sides and 3 vertices (corners). MATH Share and Show MATH BOARD Have children complete Exercises 1 4. Have them draw a dot on each side or vertex to help keep track of what has been counted. How can you tell that you circled the correct shapes? Possible answer: I can mark the parts that follow the sorting rule. Use the checked exercises for Quick Check. 3. only 3 sides 4. more than 3 sides 672 six hundred seventy-two If Then Quick Check RtI a child misses the checked exercises Differentiate Instruction with Reteach 12.1 Personal Trainer 1.G.A.1 RtI Tier 1 Activity (online) Advanced Learners Kinesthetic Individual / Partners Materials models of two-dimensional shapes Give each pair a set of two-dimensional shapes. Have children sort the shapes in different ways. How many groups did you make? Children will likely say two, three, or four groups. How did you sort the shapes? Possible answer: I sorted the shapes by the number of sides and vertices. Have children draw or write to record each sorting. COMMON ERRORS Error Children may misidentify a turned square as a triangle. Example In Exercise 1, children do not circle the purple square. Springboard to Learning Have children draw a dot on each vertex (or side) as they count to help them keep track. Remind children that even though a shape is turned, the number of its sides/vertices does not change. 672

4 ELABORATE On Your Own MP6 Attend to precision. If children answered Exercises 3 and 4 correctly, assign Exercises 5 10.

5 4 ELABORATE On Your Own MP6 Attend to precision. If children answered Exercises 3 and 4 correctly, assign Exercises Point out that the shapes in Exercises 7 and 8 are the same, but children must use different sorting rules to circle the correct shapes. In Exercise 7, children circle the shapes with four sides. In Exercise 8, children use the same group of shapes to circle those that have four sides of the same length. Tell children that these exercises show that they can sort a group of shapes in more than one way. On Your Own MATHEMATICAL PRACTICE 6 Use Vocabulary Circle the shapes that follow the rule. REMEMBER Read the sorting rule first. 5. curved 6. only 3 vertices (corners) 7. 4 sides 8. 4 sides are the same length Exercises 9 and 10 require children to use higher order thinking skills as they interpret the sorting rule and draw 2 different two-dimensional shapes. on the Spot Video Tutor Use this video to help children model and solve this type of Think Smarter problem. on the Spot videos are in the Interactive Student Edition and at Draw 2 different two-dimensional shapes that follow both parts of the sorting rule. Possible answers shown sides and 3 vertices (corners) sides are long and 2 sides are short DEEPER MP8 Look for and express regularity in repeated reasoning. Have children identify the kind of shapes that they sorted in Exercise 5. What shapes matched the rule in Exercise 5? Possible answer: only the circles What shapes did not match the rule? triangles, squares, and other rectangles Repeat with similar questions for Exercises 6 8. Guide children to notice that each exercise sorted a type of shape (circles, triangles, rectangles, or squares). Discuss how each sorting rule is a defining attribute of these two-dimensional shapes. MP7 Look for and make use of structure. What shapes have curved sides? circles What shapes have straight sides? triangles, rectangles, squares Chapter 12 Lesson 1 six hundred seventy-three Chapter 12

MATHEMATICAL PRACTICES Ted sorted these shapes three different ways. Write sorting rules to tell how Ted sorted. 11. 12. Many sorting rules will apply.

For Exercises 11 12, point out to children that each exercise contains a different group of shapes.

Exercise 13 requires children to apply a sorting rule that includes all the shapes in the original group. 13. 14. Which shapes have more than 3 sides? Choose all that apply.

674 six hundred seventy-four DIFFERENTIATED INSTRUCTION Activities More Alike Than Not Differentiated Centers Kit Literature Signs Shape Up closed INDEPENDENT ACTIVITIES Games

Children who answer incorrectly may miscount the number of sides on each shape.

EVALUATE Formative Assessment Essential Question Reflect Using the Language Objective Have children sort two-dimensional shapes into piles to answer the Essential Question.

6 MATHEMATICAL PRACTICES Ted sorted these shapes three different ways. Write sorting rules to tell how Ted sorted Many sorting rules will apply. Possible rules are shown. 3 sides 4 vertices Problem Solving Applications MATHEMATICAL PRACTICES MP8 Look for and express regularity in repeated reasoning. For Exercises 11 12, point out to children that each exercise contains a different group of shapes. For Exercise 11, if children write triangles as the sorting rule, ask them to tell what they notice about the numbers of sides and vertices of each shape. Exercise 13 requires children to apply a sorting rule that includes all the shapes in the original group Which shapes have more than 3 sides? Choose all that apply. TAKE HOME ACTIVITY Gather some household objects such as photos, buttons, and napkins. Ask your child to sort them by shape. 674 six hundred seventy-four DIFFERENTIATED INSTRUCTION Activities More Alike Than Not Differentiated Centers Kit Literature Signs Shape Up closed INDEPENDENT ACTIVITIES Games On the Water 5 Exercise 14 requires children to be able to sort and classify the shapes by the ones that have 3 sides and the ones that have more than 3 sides. Children who answer incorrectly may miscount the number of sides on each shape. If children do not select all of the shapes that have more than 3 sides, have them place a small mark on each side of each shape and then count the marks. EVALUATE Formative Assessment Essential Question Reflect Using the Language Objective Have children sort two-dimensional shapes into piles to answer the Essential Question. How can you use attributes to classify and sort two-dimensional shapes? I can sort by the number of sides or vertices, by straight or curved sides, or by closed or open shapes. Journal Explain how you would name a sorting rule for 1 square, 1 rectangle, and 1 triangle. Children complete orange Activity Card 10 by sorting shapes by the number of sides. Children read the book and identify the shapes of signs. Children practice describing the attributes of two-dimensional shapes to win the game. 674

Practice and Homework Use the Practice and Homework pages to provide children with more practice of the concepts and skills presented in this lesson.

7 Practice and Homework Use the Practice and Homework pages to provide children with more practice of the concepts and skills presented in this lesson. Children master their understanding as they complete practice items and then challenge their critical thinking skills with Problem Solving. Use the Write section to determine children s understanding of content for this lesson. Encourage children to use their Journals to record their answers. Sort Two-Dimensional Shapes Read the sorting rule. Circle the shapes that follow the rule. 1. not curved 2. 4 vertices Problem Solving 3. Katie sorted these shapes. Write a sorting rule to tell how Katie sorted. Practice and Homework COMMON CORE STANDARD 1.G.A.1 Reason with shapes and their attributes. Possible answers: 3 sides; 3 vertices 4. Explain how you would name a sorting rule for 1 square, 1 rectangle, and 1 triangle. Check children s work. Chapter 12 six hundred seventy-five 675 COMMON ON CORE PROFESSIONAL DEVELOPMENT Talk in Action To help children think more deeply about attributes, present this set of shapes. A B C D E Teacher: What is the name of shape A? Delia: It is a triangle. Teacher: How do you know that? Delia: It has 3 sides and 3 vertices. Teacher: Do shapes A and B belong together? Asaf: Yes. They are both triangles. Teacher: What about shape D? Is it a triangle, too? Elena: Well, if you turn it around, it might be. Teacher: Why is that? Elena: Triangles always point up. Teacher: Triangles get their name because they have 3 sides and 3 vertices. They can point in any direction. Are shapes C and E triangles, too? Elena: Yes. They each have 3 sides and 3 vertices, so I guess they have to be triangles too. 675 Chapter 12

8 Lesson Check (1.G.A.1) 1. Circle the shape that would not be sorted into this group. Continue concepts and skills practice with Lesson Check. Use Spiral Review to engage children in previously taught concepts and to promote content retention. Common Core standards are correlated to each section. 2. Circle the shape that has fewer than 4 sides. Spiral Review (1.MD.A.1) Solve. Draw or write to explain. 3. Clue 1: A black line is shorter than a white line. Clue 2: The white line is shorter than a gray line. Is the black line longer or shorter than the gray line? shorter 676 six hundred seventy-six FOR MORE PRACTICE GO TO THE Personal Trainer Connecting and Science So Salty You can find water in oceans too. An ocean is a large body of salty water. Most of Earth s water is in oceans. Active Reading A detail is a fact about a main idea. Draw one line under a detail. Draw an arrow to the main idea it tells about. So Salty Develop Vocabulary 1. Write the definition using your own words. ocean: An ocean is a large body of salty water. Develop Concepts S.T.E.M. Activity Chapter 12 Use with ScienceFusion pages Do the! 4. Color the part of the circle that shows how much of Earth is covered with land. 2. Identify and describe the body of water on pages Children should color 1 of the 4 parts shown. The body of water is an ocean. It is a large body of water. Its water is salty. 5. Does the circle show equal shares? Explain. Possible answer: The circle does show equal shares because all of the four parts are equal size. In Chapter 12, children develop their understanding of two-dimensional geometry by making equal parts and making fourths. These same topics are used often in the development of various science concepts and process skills. Help children make the connection between math and science through the S.T.E.M. activities and activity worksheets found at com. In Chapter 12, children connect math and science with the S.T.E.M. Activity So Salty and the accompanying worksheets (pages 113 and 114). 206 Identify the body of water you see on the page. Circle the name of it. Describe the body of water by writing a sentence about it. An ocean is a large body of salty water. David Pu u/corbis 3. Should we drink ocean water? Why do you think 6. animals Draw two that more ways to make fourths. Check children s work. live in the ocean cannot live in lakes? No. Ocean water is salty. We live by drinking fresh water, not salt water. The animals that live in the ocean need to live in salt water to stay alive. They could not live in fresh water. Summarize S.T.E.M. Activity one hundred 6. What thirteen is the 113main idea on pages ? An ocean is a large body of water. Through this S.T.E.M. Activity, children will connect the GO! Chapter 12 concepts and skills with various facts about ocean water, including showing how much of the Earth is covered by land and how much is covered by ocean water. It is recommended that this S.T.E.M. Activity be used after one hundred fourteen 676

Hands On Three-Dimensional Shapes

LESSON 11.1 Hands On Three-Dimensional Shapes FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards 1.G.A.1 Distinguish between defining attributes (e.g., triangles are closed