Unit

Three-Dimensional Figures - Chapter 11

Local Objective

At the end of this unit the students will be able to:

1.  Identify three-dimensional figures.

2.  Draw various views of three-dimensional figures. 

3.  Find volumes of prisms.

4.  Find volumes of circular cylinders.

5.  Find the surface area of prisms.

6.  Find the surface area if cylinders. 

Objective used to evaluate students

Yes

Assessment Activity

Students will be assessed by:

1.  Using the Three Dimensional Figures worksheet  to show students can identify three-dimensional figures and draw various views of three-dimensional figures. 

2.  Using the Volume: Prisms and Cylinders worksheet   to show students can find volumes of prisms and find volumes of circular cylinders.

3.  Using the Surface Area: Prisms and Cylinders worksheet  to show students can find the surface area of prisms and find the surface area if cylinders. 

Level of Expectation

80%

List of concepts and Evaluation Types

ConceptEvaluation Type
Independent ActivitesCR
Unit ExamCR
Real Life ApplicationsPE

Learning Activity

During whole group instruction, students will:

1.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying three-dimensional figures.

2.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on drawing various views of three-dimensional figures. 

3.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding volumes of prisms.

4.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding volumes of circular cylinders.

5.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the surface area of prisms.

6.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the surface area if cylinders. 

During independent work time, students will complete the:
1.  Three Dimensional Figures worksheet 
2.  Volume: Prisms and Cylinders worksheet  
3.  Surface Area: Prisms and Cylinders worksheet 

Instructional Method

During whole group instruction, the teacher will:

1.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on identifying three-dimensional figures.

2.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on drawing various views of three-dimensional figures. 

3.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding volumes of prisms.

4.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding volumes of circular cylinders.

5.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding the surface area of prisms.

6.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding the surface area if cylinders. 

While students are wokring on independent problems, teacher will observe and assist those students having difficulties. 

Content Standards

MA 2

Process Standards

3.3, 3.6, 1.7, 3.1, 4.1, 3.8

Resources

Glencoe Pre-Algebra

Correction Exercise

Assignment Corrections

Tutoring

Peer Coaching

Special Needs

Peer Coaching

Tutoring

Modified Assignments

GLEs v1.0

GLE CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/3/1/A/07/aMathGeometric and spatial relationshipsAnalyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationshipsDescribe and use geometric relationshipsGrade 7classify 2- and 3-dimensional shapes based on their properties
MA/4/2/D/07/aMathMeasurementApply appropriate techniques, tools and formulas to determine measurementAnalyze precisionGrade 7analyze precision and accuracy in measurement situations
MA/3/4/A/07/aMathGeometric and spatial relationshipsUse visualization, spatial reasoning and geometric modeling to solve problemsRecognize and draw three-dimensional representationsGrade 7use spatial visualizations to identify various 2-dimensional views of isometric drawings
MA/4/1/A/07/aMathMeasurementUnderstand measurable attributes of objects and the units, systems and processes of measurementDetermine unit of measurementGrade 7identify and justify the unit of measure for volume (customary and metric)

GLEs v2.0 and CLEs

GLE CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/G/1/A/7/a.MathematicsGeometric and Spatial RelationshipsAnalyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationshipsDescribe and use geometric relationships7th Gradeidentify the 2-dimensional cross-section of a 3-dimensional shape
MA/G/4/A/7/a.MathematicsGeometric and Spatial RelationshipsUse visualizatio, spatial reasoning and geometric modeling to solve problemsRecognize and draw three-dimensional representations7th Gradeuse spatial visualizations to identify various 2-dimensional views of isometric drawings
MA/G/4/B/7/a.MathematicsGeometric and Spatial RelationshipsUse visualizatio, spatial reasoning and geometric modeling to solve problemsDraw and use visual models7th Gradedraw or use visual models to represent and solve problems
MA/M/1/A/7/a.MathematicsMeasurementUnderstand measurable attributes of objects and the units, systems and processes of measurementDetermine unit of measurement7th Gradeidentify and justify the unit of measure for volume (customary and metric)
MA/M/1/B/7/a.MathematicsMeasurementUnderstand measurable attributes of objects and the units, systems and processes of measurementIdentify equivalent measures7th Gradeidentify the equivalent area and volume measures within a system of measurement (e.g., sq ft. to sq in, m^3 to cm^3)
MA/M/2/C/7/a.MathematicsMeasurementApply appropriate techniques, tools and formulas to determine measurementsApply geometric measurements7th Gradesolve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder