Unit
Real Numbers and Right Triangles - Chapter 9
Local Objective
At the end of this unit the students will be able to:
1. Find the square and square roots.
2. Estimate square roots.
3. Identify and compare numbers in the real number system.
4. Solve equations by finding square roots.
5. Find the missing angle measure of a triangle.
6. Classify triangles by properties and attributes.
7. Identify corresponding parts and find missing measures of similar polygons.
8. Solve problems involving indirect measurement using similar triangles.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Square and Square Roots worksheet to show students can find the square and square roots and estimate square roots.
2. Using the Real Number System worksheet
to show students can identify and compare numbers in the real number
system and solve equations by finding square roots.
3. Using the Triangles worksheet
to show students can find the missing angle measuer of a triangle
and classify triangles by properties and
attributes.
4. Using the Similar Figures and Indirect Measurment worksheet
to show students can identify corresponding parts and find missing
measures of similar polygons and solve problems involving indirect
measurement using similar triangles.
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, finding
the square and square roots.
2. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
estimating square roots.
3. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
identifying and comparing numbers in the real number system.
4. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
solving equations by finding square roots.
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 measure of a triangle.
6. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
classifying triangles by properties and
attributes.
7. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
identifying corresponding parts and find missing measures of similar
polygons.
8. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice problems on,
solving problems involving indirect measurement using similar
triangles.
During independent work time, students will complete the:
1. Square and Square Roots worksheet
2. Real Number System worksheet
3. Triangles worksheet
4. Similar Figures and Indirect Measurment 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 finding the
square and square roots.
2. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
estimating square roots.
3. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
identifying and comparing numbers in the real number system.
4. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on solving
equations by finding square roots.
5. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on finding
the missing angle measure of a triangle.
6. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
classifying triangles by properties and
attributes.
7. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
identifying corresponding parts and find missing measures of similar
polygons.
8. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on solving
problems involving indirect measurement using similar triangles.
While students are working on independent problems, teacher will observe and assist those students having difficulties.
Content Standards
MA 5, MA 2, CA 4
Process Standards
3.3, 1.6, 3.2, 1.5, 1.4
Resources
Glencoe Pre-Algebra
Correction Exercise
Assignment Corrections
Tutoring
Peer Coaching
Special Needs
Peer Coaching
Turoring
Modified Assigments
GLEs v1.0
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/1/2/D/07/a | Math | Number and Operations | Understand meanings of operations and how they relate to one another | Apply operations on real and complex numbers | Grade 7 | approximate the value of square roots to the nearest whole number |
| MA/3/1/B/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 | Apply geometric relationships | Grade 7 | describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons |
| MA/4/2/B/07/a | Math | Measurement | Apply appropriate techniques, tools and formulas to determine measurement | Use angle measurement | Grade 7 | use tools to measure angles to the nearest degree |
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/N/2/D/7/a. | Mathematics | Numbers and Operations | Understand meanings of operations and hwo they relate to one another | Apply operations on real and complex numbers | 7th Grade | approximate the value of square roots to the nearest whole number |
| MA/M/2/B/7/a. | Mathematics | Measurement | Apply appropriate techniques, tools and formulas to determine measurements | Use angle measurement | 7th Grade | use tools to measure angles to the nearest degree and classify that angle as acute, obtuse, right, straight, of reflex |
| 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 |