Shapes and Solids

At the completion of this unit, students will be able to:

1. Use geometric terms to describe locations and parts of space.
2. Measure, draw, and classify angles.
3. Identify and classify polygons.
4. Identify and classify triangles.
5. Identify and classify quadrilaterals.
6. Make and test generalizations of patterns in different examples.
7. Identify solid figures according to faces, edges, and vertices.
8. Identify a two-dimensional representation (net) of a solid.
9. Determine the surface area of rectangular solids.
10. Identify different views of a solid.
11. Count cubic units, and use formulas to find the areas and volumes of rectangular prisms, irregular shapes and solids.
12. Use objects to act out actions and break apart problems into simpler ones in order to reach a solution.

Yes

Students will be assessed:

1. Using the 8-1 Basic Geometric Ideas Quick Check and Practice  worksheets to show the student can use geometric terms to describe locations and parts of space.
2. Using the 8-2 Measuring and Classifying Angles Quick Check and Practice  worksheets to show the is able to measure, draw, and classify angles.
3. Using the 8-3 Polygons Quick Check and Practice worksheets to show that the student can identify and classify polygons.
4. Using the 8-4 Triangles Quick Check and Practice worksheets to show the student can identify and classify triangles.
5. Using the 8-5 Quadrilaterals Quick Check and Practice worksheets to show the student can identify and classify quadrilaterals.
6. Using the 8-6 Problem Solving: Make and Test Generalizations Quick Check and Practice worksheets to show the student is able to make and test generalizations of patterns in different examples.
7. Using the 13-1 Solids Quick Check and Practice worksheets to show that the student can identify solid figures according to faces, edges, and vertices.
8. Using the 13-2 Relating Shapes and Solids Quick Check and Practice worksheets to show that the student is able to identify a two-dimensional representation (net) of a solid.
9. Using the 13-3 Surface Area Quick Check and Practice worksheets to show that the student can determine the surface area of rectangular solids.
10. Using the 13-4 Views of Solids Quick Check and Practice worksheets to show that the student is able to identify different view of a solid.
11. Using the 13-5 Volume and 13-6 Irregular Shapes and Solids Quick Check and Practice worksheets to show that the student is able to count cubic units and use formulas to find the volume and/or area of rectangular prisms, and irregular shapes and solids.
12. Using the 13-7 Problem Solving: Use Objects and Solve a Simpler Problem Quick Check and Practice worksheets to show that the student can use objects to act out actions and break apart problems into simpler ones in order to reach a solution.
13. After completing practice on objectives 1-6, using the Topic 8 Shapes Multiple Choice Exam and Topic 8 Shapes Free-Response Exam to show students can:
    • Use basic geometric terms. (Questions 4, 6) (Questions 1-6, 23-28)
    • Measure and classify angles. (Question 10) (Question 9)
    • Identify and describe attributes of various polygons. (Question 5) (Questions 7-8, 14-15)
    • Classify and describe attributes of triangles. (Questions 1, 2, 8, 11) (Questions 10-11, 16-17)
    • Classify and describe attributes of quadrilaterals. (Questions 3, 9, 12) (Questions 12-13, 18-19, 21-22)
    • Make and test generalizations. (Question 7) (Question 20)
14. After completing practice on objectives 7-12, using the Topic 13 Solids Multiple Choice Exam and Topic 13 Free-Response Exam to show that the student can:
    • Identify solid figures according to faces, edges, and vertices. (Question 1) (Questions 1-7)
    • Use nets to represent solid figures. (Question 2) (Questions 8-10)
    • Find the surface area of retangular solids. (Questions 4, 8) (Questions 15-16)
    • Identify different views of solids. (Question 5) (Questions 11, 17)
    • Use cubic units and formulas to find the volume and area of rectangular prisms, and irregular shapes and solids. (Questions 3, 7, 9, 10) (Questions 12-14, 18-19)
    • Use objects and solve simpler problems to find solutions. (Question 6) (Question 20)
15. Using Topic 13 Performance Assessment to show the students' understanding of the concepts and skills on solids through a performance-based task.

80%

During whole group instruction, students will:

1. Take notes from the SMART Board, follow along as the teacher reviews vocabulary words, works example problems, working out the problems on their slates, and then work guided practice questions on basic geometric ideas, page 201 student edition.  The students will also work in small groups, using Recording Sheet 18, to name 6 points, 3 lines, 2 line segments, 2 parallel lines, and 2 perpendicular lines.
2. Take notes from the SMART Board, follow along as the teacher introduces vocabulary words, works example problems, working out the problems on their slates, and then work practice questions on measuring and classifying angles, pages 204-205 of the student edition. 
3. Take notes from the SMART Board, follow along as the teacher introduces new vocabulary, works example problems, working out the problems on their slates, and then work practice problems on pages 206-207 of the student edition.  The students will also work in pairs, using sticks or toothpicks of different sizes, to model and identify regular and non-regular polygons.
4. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work practice problems on triangles.  The students will also draw an equilateral, an isosceles, and a scalene triangle on their slates.  Then the student will classify each triangle in two different ways, by the lengths of the sides and by the measures of the angles.
5. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work practice problems on quadrilaterals.  Then, the students will work in pairs, using recording sheet 20, they will follow along as the teacher draws and describes quadrilaterals.  Each pair will place checks on the recording sheet in columns that describe the quadrilateral.  Using their recorded information, the students will classify the quadrilaterals.
6. Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work practice questions on making and testing generalizations, pages 212-213 of the student edition.
7. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work  practice problems on solids.  Then, the students will work in pairs to describe the similarities and differences of a cylinder and prism.
8. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work practice problems on relating shapes and solids, pages 326-327, of the student edition.  The students will also cut out resource nets, folding and unfolding them to predict and determine what shape is made.
9. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work guided practice problems on surface area, pages 328-329 of the student edition.  The students will work in pairs, using Interactive Recording Sheet 26 and rulers, to measure and find the surface area of a given solid figure.
10. Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work practice problems on pages 330-331 of the student edition.  The students will also work in small groups to build a solid figure using 8 centimeter cubes.  Then, each student will use centimeter grid paper to draw a diagram of the top view, a side view, and a front view of their solid. The class will then tour the room viewing the work of other students, and discuss them as a whole.
11. Take notes from the SMART Board, follow along as the teacher introduces vocabulary, works example problems, working out the problems on their slates, and then work guided practice questions on volume, and irregular shapes and solids.  The students will use centimeter cubes and formulas to experiment and find the volume and area of solids and irregular shapes.
12. Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using objects to solve a simpler problem, pages 340-341 in the student edition.  The students will work in pairs, guided by the teacher, using blocks to extend a given pattern. 

During independent work time, students will complete the:

1. 8-1 Basic Geometric Ideas Quick Check and Practice worksheet.
2. 8-2 Measuring and Classifying Angles Quick Check and Practice worksheet.
3. 8-3 Polygons Quick Check and Practice worksheet.
4. 8-4 Triangles Quick Check and Practice worksheet.
5. 8-5 Quadrilaterals Quick Check and Practice worksheet.
6. 8-6 Making and Testing Generalizations Quick Check and Practice worksheet.
7. 13-1 Solids Quick Check and Practice worksheet.
8. 13-2 Relating Shapes and Solids Quick Check and Practice worksheet.
9. 13-3 Surface Area Quick Check and Practice worksheet.
10. 13-4 Views of Solids Quick Check and Practice worksheet.
11. 13-5 Volume and 13-6 Irregular Shapes and Solids Quick Check and Practice worksheet.
12. 13-7 Use Objects and Solve a Simpler Problem Quick Check and Practice worksheet. 

During whole group instruction, the teacher will:

1. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce vocabulary and provide guided practice problems, providing assistance and feedback as needed on using geometric terms to describe locations and parts of space.
2. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce vocabulary and provide guided practice problems, providing assistance and feedback as needed on measuring, drawing, and classifying angles.
3. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce new vocabulary and provide guided practice problems, providing assistance and feedback as needed on identifying and classifying polygons.
4. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce vocabulary and provide guided practice problems, providing assistance and feedback as needed on identifying and classifying triangles.
5. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce new vocabulary and provide guided practice problems, providing assistance and feedback as needed on identifying and classifying quadrilaterals.
6. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on making and testing generalizations of patterns in different examples.
7. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce new vocabulary and provide guided practice problems, providing assistance and feedback as needed on identifying solid figures according to faces, edges, and vertices.
8. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on identifying a two-dimensional representation (net) of a solid.
9. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce vocabulary and provide guided practice problems, providing assistance and feedback as needed on determining the surface area of rectangular solids.
10. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on identifying different views of a solid.
11. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples, introduce vocabulary and provide guided practice problems, providing assistance and feedback as needed on counting cubic units and using formulas to find the volume and area of solids and irregular shapes.
12. Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on using objects to act our and break apart problems into simpler ones in order to reach a solution.

While students are completing independent practice problems, the teacher will observe and assist students that are having difficulties.

Scott Foresman enVision Math Series (Teacher and Student)
Shape manipulatives
www.pearsonsuccess.net
SmartBoard
Student laptops with internet connection
Student work slates with markers
Pull-in resource materials regarding figures (nets)

enVision Math Topic 8 and 13 Reteaching Materials
Pull-in resources if needed.

enVision Math Enrichment Activities
Center Activities regarding shapes and solids

Accomodations and modifications will be made according to the needs of the individual student.