Download TEKS: Academic Vocabulary

Geometry Week 2
August 29th – Sept 2nd, 2016
TEKS:
Mathematical Process Standards: The student uses mathematical processes to acquire and demonstrate mathematical
understanding. The student is expected to:
GEOM.1E: Create and use representations to organize, record, and communicate mathematical ideas.
GEOM.1F: Analyze mathematical relationships to connect and communicate mathematical ideas.
Coordinate and Transformational Geometry: The student uses the process skills to understand the connections
between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric
conjectures. The student is expected to:
GEOM.2A: Determine the coordinates of a point that is a given fractional distance less than one from one end of a line
segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint.
GEOM.2B: Derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including
congruence of segments and parallelism or perpendicularity of pairs of lines.
Logical Argument and Constructions: The student uses the process skills with deductive reasoning to understand
geometric relationships. The student is expected to:
GEOM.4A: Distinguish between undefined terms, definitions, postulates, conjectures, and theorems.
GEOM.4D: Compare geometric relationships between Euclidean and spherical geometries, including parallel lines and
the sum of the angles in a triangle.
Academic Vocabulary:
Midpoint
Distance Formula
Angle Addition
Segment Addition
Congruent
Angle Bisector
Segment Bisector
Perpendicular Bisector
Pythagorean Theorem
Slope
Key Questions:
What are congruent segments?
How do you identify whether an angle is acute, right, obtuse, or straight?
How do you identify complementary and supplementary angles?
Complementary
Supplementary
Vertical Angles
Linear Pair
Monday, August 29th, 2016
1. Engage and Connect:
a. Students will plot and label points on graph.
b. Show GPS calculates distance.
2. Objectives:
a. Students will derive distance, midpoint, and slope to find geometric relationships
3. Guided Practice:
a. Talk about importance of length and distance is important
i. Show the distance I drove from North Carolina to Texas.
b. Read page 15-17
c. Write formula with examples
i. Activity: Maps with Distance and Midpoint
ii. Use the points to find distance and midpoint between buildings
4. Independent Practice:
a. Quiz of basic geometric terms and figures
b. Complete questions to Guided Practice Activity
5. Closure:
6. Higher Order Thinking
a. How is the Pythagorean Theorem and distance formula related to each other?
b. How can you use midpoint formula to determine missing endpoint coordinates?
Tuesday, August 30th, 2016
1. Engage and Connect:
a. Students will plot and label points on graph.
2. Objectives:
a. Students will derive distance, midpoint, and slope to find geometric relationships
b. Students will see the relationship between lines that are parallel, perpendicular, and neither
3. Guided Practice:
a. Find the length of given segments
i. Pg. 12 6-11, 13-19
b. Use the foldable to find distance and midpoint of two points
i. I do, you do, we do
b. Find slope of lines and identify if parallel perpendicular or neither
i. I do, you do, we do
c. Use Pythagorean theorem to find the distance between two points.
4. Independent Practice:
a. Random generated problems from Kuta
5. Closure
a. Go over answers
6. Higher Order Thinking
a. How are the Pythagorean Theorem and distance formula related to each other?
b. How can you use midpoint formula to determine missing endpoint coordinates?
Wednesday, August 31st, 2016
1. Engage and Connect:
a. Fold two papers hotdog style with slits to make foldable.
2. Objectives:
a. Students will solve algebraic equations.
3. Guided Practice:
a. Complete a foldable of steps for solving algebraic equations.
i. One step and two step equations
b. Solve algebraic equations
i. I do, we do, you do
4. Independent Practice:
a. Quiz on Distance and Midpoint Formulas
b. Random generated problems from Kuta
5. Closure/Mastery
a. HW: Complete 10 problems
6. Higher Order Thinking
a. Why are we still doing algebra?
Thursday, Sept. 1st, 2016
1. Engage and Connect:
a. Fold two papers hotdog style with slits to make foldable.
2. Objectives:
a. Students will solve algebraic equations.
3. Guided Practice:
a. Solve algebraic equations by combining like terms
i. I do, we do, you do
4. Independent Practice:
a. Random generated problems from Kuta
5. Closure/Mastery
a. HW: Complete 10 problems
6. Higher Order Thinking
a. Why are we still doing algebra?
Friday, Sept. 2nd, 2016
1. Engage and Connect:
a. Show how solving for x is used in Geometry
2. Objectives:
a. Students will solve algebraic equations.
3. Guided Practice:
a. Solve algebraic equations with variable son both sides
i. I do, we do, you do
4. Independent Practice:
a. Quiz
b. Puzzle
5. Closure/Mastery
a. HW: Complete 10 problems
6. Higher Order Thinking
a. Why are we still doing algebra?