Unit Plan 9 Angles and Lines

Grade: 6

Content Area: Mathematics

Course Name:

Unit: 10

Description of Course: During this unit students will learn to measure and classify angles. Students will learn to find angle measures using complementary and supplementary angles.

Approximate Time Needed: 5-8 days

Learning Targets

Assessments

Instructional Considerations

Instructional Approach

Resources

9.1 I can solve problems using the relationships between the angles formed by intersecting lines (vertical and adjacent angles).

9.2 I can determine missing angle measures in a triangle using the fact that the sum of the interior angles is 180˚.

MN Math Standards

6.3.2.1

6.3.2.2

Pre-Assessments:

Unit 9 Pre-Assessment

Unit 9 Pre-Assess KEY

Formative Assessments:

9.1 Practice Set

9.1 Practice KEY

9.2 Practice Set

9.2 Practice KEY

9.3 Practice Set

9.3 Practice KEY

9.4 Practice Set

9.4 Practice KEY

9.5 Practice Set

9.5 Practice KEY

Benchmark Assessment:

Unit 9 Review

Unit 9 Review KEY

Unit 9 Assessment

Unit 9 Assessment KEY

Student Background Knowledge:

Understanding of basic angles.

Understanding of algebraic expressions and equations.

Essential Questions:

What are the types of angles?

How do you measure angles?

What is a triangle?

Academic Language:

Angles

Measurement

Interior

Content Specific Language:

Listed below.

Lesson Plan

Cross-Content Integration:

Architecture projects may require calculating angles to plan and design correctly.

Web Resources:

Khan Academy

Illustrated Math Dictionary

Video links posted on lesson plans

Research:

CK12.org

Technology Resources:

internet device, calculator, protractor

Community Resources:

Content Specific Language:

Acute angles - Acute angles are angles that measure between  and up to but not including .

Adjacent - Items that are adjacent are immediately next to each other.

Angle - Angles are formed when two rays have the same endpoint.

Angle Addition Postulate - When two smaller angles form to make a larger angle, the sum of the measures of the smaller angles will equal the measure of the larger angle.

Complementary - Two angles that add up to  are called complementary angles.

Exterior angles - An exterior angle is an angle formed when you extend a line from the side of a polygon.

Hypotenuse - The hypotenuse is the longest side of a right triangle, the side opposite of the right angle.

Interior angles - The inside angles connecting the sides of the polygon are called interior angles.

Intersecting lines - Intersecting lines are lines that cross one another.

Leg - The two sides of a right triangle that form the right angle are called the legs of that triangle.

Obtuse angles - Obtuse angles are angles that measure more than  but less than .

Perpendicular - When two lines intersect to form four right angles they are called perpendicular. The symbol for perpendicular is .

Protractor - The tool used to measure angles is called a protractor.

Right angle - A right angles is an angle that measures exactly .

Sides - The two rays that form an angle are the sides.

Straight angle - A Straight angle is an angle that measures exactly .

Supplementary angles - Two angles that add up to  are called supplementary angles.

Triangle Sum Theorem - The Triangle Sum Theorem states that the three interior angles of any triangle add up to .

Vertex - A vertex is the common endpoint of the two rays that form an angle.

Vertical angles - Vertical angles are congruent angles that are formed by intersecting lines and are directly opposite of each other.