Unit
Two-Dimensional Figures - Chapter 10
Local Objective
At the end of this unit the students will be able to:
1. Identify the relationships of angles formed by two parallel lines and a transversal.
2. Identify the relationships of vertical, adjacent, complementary, and supplementary angles.
3. Identify congruent triangles and corresponding parts of congruent triangles.
4. Draw translations, rotations, and reflections on a coordinate plane.
5. Find the missing angle measures of a quadrilateral.
6. Classify quadrilateral.
7. Classify polygons.
8. Determine the sum of the measures of the interior and exterior angles of polygons.
9. Find area of parallelograms.
10. Find the areas of triangles and trapedzoids.
11. Find circumference of circles.
12. Find area of circles.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Line and Angle Relationship worksheet to show students can identify the relationships of angles formed by two parallel lines and a transversal and identify the relationships of vertical, adjacent, complementary, and supplementary angles.
2. Using the Congruent Triangles worksheet to show students can identify congruent triangles and corresponding parts of congruent triangles.
3. Using the Transformations on the Coordinate Plane worksheet to show students can draw translations, rotations, and reflections on a coordinate plane.
4. Using the Quadrilaterals worksheet to show that students can find the missing angle measures of a quadrilateral and classify quadrilateral.
5. Using the Polygons worksheet to show students can classify polygons and determine the sum of the measures of the interior and exterior angles of polygons.
6. Using the Area: Parallelograms, Triangles, and Trapeziods worksheet to show students can
find area of parallelograms and find the areas of triangles and trapedzoids.
7. Using the Circles: Circumference and Area worksheet to show students can find circumference of circles and find area of circles.
Level of Expectation
80%
List of concepts and Evaluation Types
| Concept | Evaluation Type |
| Independent Activities | CR |
| Unit Exam | CR |
| Real Life Applications | PE |
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 the relationships of angles formed by two parallel lines and a transversal.
2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying the relationships of vertical, adjacent, complementary, and supplementary angles.
3. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying congruent triangles and corresponding parts of congruent triangles.
4. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on drawing translations, rotations, and reflections on a coordinate plane.
5. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the missing angle measures of a quadrilateral.
6. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on classifying quadrilateral.
7. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on classifying polygons.
8. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on determining the sum of the measures of the interior and exterior angles of polygons.
9. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding area of parallelograms.
10. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the areas of triangles and trapedzoids.
11. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding circumference of circles.
12. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding area of circles.
During independent work time, students will complete the:
1. Line and Angle Relationship worksheet
2. Congruent Triangles worksheet
3. Transformations on the Coordinate Plane worksheet
4. Quadrilaterals worksheet
5. Polygons worksheet
6. Area: Parallelograms, Triangles, and Trapeziods worksheet
7. Circles: Circumference and Area 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 the relationships of angles formed by two parallel lines and a transversal.
2. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on identifying the relationships of vertical, adjacent, complementary, and supplementary angles.
3. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on identifying congruent triangles and corresponding parts of congruent triangles.
4. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on drawing translations, rotations, and reflections on a coordinate plane.
5. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding the missing angle measures of a quadrilateral.
6. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on classifying quadrilateral.
7. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on classifying polygons.
8. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on determining the sum of the measures of the interior and exterior angles of polygons.
9. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding area of parallelograms.
10. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding the areas of triangles and trapedzoids.
11. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding circumference of circles.
12. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding area of circles.
While students are working on independent problems, teacher will observe and assist those having difficulties.
Content Standards
MA 2
Process Standards
3.6, 1.8, 1.6, 4.1, 3.4
Resources
Correction Exercise
Assignment Corrections
Tutoring
Peer Coaching
Special Needs
Peer Coaching
Tutoring
Modified Assignments
GLEs v1.0
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/3/1/A/07/a | Math | Geometric and spatial relationships | Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships | Describe and use geometric relationships | Grade 7 | classify 2- and 3-dimensional shapes based on their properties |
| MA/3/2/A/07/a | Math | Geometric and spatial relationships | Specify locations and describe spatial relationships using coordinate geometry and other representational systems | Use coordinate systems | Grade 7 | given ordered pairs, identify geometric shapes in the coordinate plane using their properties |
| MA/3/3/A/07/a | Math | Geometric and spatial relationships | Apply transformations and use symmetry to analyze mathematical situations | Use transformations on objects | Grade 7 | reposition shapes under informal transformations, such as reflection (flip), rotation (turn) and translation (slide) |
| MA/3/3/C/07/a | Math | Geometric and spatial relationships | Apply transformations and use symmetry to analyze mathematical situations | Use semetry | Grade 7 | determine all lines of symmetry of polygons |
| MA/4/2/C/07/a | Math | Measurement | Apply appropriate techniques, tools and formulas to determine measurement | Apply geometric measures | Grade 7 | describe how to solve problems involving circumference and/or area of a circle |
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/G/1/A/7/a. | Mathematics | Geometric and Spatial Relationships | Analyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationships | Describe and use geometric relationships | 7th Grade | identify the 2-dimensional cross-section of a 3-dimensional shape |
| MA/G/1/B/7/a. | Mathematics | Geometric and Spatial Relationships | Analyze characteristics and properties of two- and three-dimensional shapes and develop mathematical arguments about geometric relationships | Apply geometric relationships | 7th Grade | describe relationships betwee corresponding sides, corresponding angles and corresponding perimeters of similar polygons |
| MA/G/2/A/7/a. | Mathematics | Geometric and Spatial Relationships | Specify locations and describe spatial relationships using coordinate geometry and other representational systems | Use coordinate systems | 7th Grade | use coordinate geometry to construct and identify geometric shapes in the coordinate plane using their properties |
| MA/G/3/B/7/a. | Mathematics | Geometric and Spatial Relationships | Apply transformations and use symmetry to analyze mathematical situations | Use transformations on functions | 7th Grade | describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications) (stretching/shrinking) |
| MA/G/3/C/7/a. | Mathematics | Geometric and Spatial Relationships | Apply transformations and use symmetry to analyze mathematical situations | Use symmetry | 7th Grade | determine all lines of symmetry of a polygon |
| MA/G/4/B/7/a. | Mathematics | Geometric and Spatial Relationships | Use visualizatio, spatial reasoning and geometric modeling to solve problems | Draw and use visual models | 7th Grade | draw or use visual models to represent and solve problems |
| MA/M/2/C/7/a. | Mathematics | Measurement | Apply appropriate techniques, tools and formulas to determine measurements | Apply geometric measurements | 7th Grade | solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder |