Mathematics
Curriculum Document for 6th grade
Unit Title: Geometry
Time Frame:
4th Six Weeks
Unit Number: 6
approximately 13 days
Curriculum
Enduring Understandings (Big Ideas):

The student will know:
Geometry and measurement represent real-world objects,
properties and situations.






the names of different angles
the names of different polygons
the relationships of angles in polygons
the sum of the angles in a triangle is 180 degrees
the sum of the angles in a quadrilateral is 360 degrees
the sum of the lengths any two sides of a triangle must be
greater than the length of the third side (a + b > c, a + c > b,
b + c > a)
The student will be able to:







Unit Title: Geometry
classify angles
measure and draw angles
classify triangles
classify quadrilaterals
find missing angle(s) measurements in triangles and
quadrilaterals
solve for missing side lengths in similar figures using
proportions
determine when three lengths form a triangle (Triangle
Inequality Theorem- see above)
Unit Number 6
Updated Summer 2013
Page 1 of 5
Mathematics
Curriculum Document for 6th grade
Essential Questions:


What is the purpose of classifying/analyzing geometric shapes?
How do we represent real-life situations geometrically to solve problems?
Student Understanding (student friendly TEKS):











I can describe polygons by the number of sides. (taken from 6.6)
I can classify angles as acute, obtuse, or right. (taken from 6.6A)
I can classify triangles and quadrilaterals. (taken from 6.6B)
I can solve for missing angles in triangles and quadrilaterals. (taken from 6.6B)
I can estimate measures of angles. (taken from 6.8)
I can measure and draw angles with a protractor. (taken from 6.8C)
I can solve real-world problems. (taken from 6.11A)
I can use problem solving skills/strategies to solve problems. (taken from 6.11C and 6.11D)
I can use my prior knowledge and life experiences in an organized way to solve problems. (taken from 6.13)
I can sort examples and non-examples. (taken from 6.13A)
I can explain my solution to others in a variety of ways. (taken from 6.13B)
TEKS:
(6.3) Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships.
The student is expected to:
(C) use ratios to make predictions in proportional situations.
(6.6) Geometry and spatial reasoning. The student uses geometric vocabulary to describe angles, polygons, and circles.
The student is expected to:
(A) use angle measurements to classify angles as acute, obtuse, or right;
(B) identify relationships involving angles in triangles and quadrilaterals; and
(6.8) Measurement. The student solves application problems involving estimation and measurement of length, area, time,
temperature, volume, weight, and angles.
The student is expected to:
(C) measure angles;
Unit Title: Geometry
Unit Number 6
Updated Summer 2013
Page 2 of 5
Mathematics
Curriculum Document for 6th grade
(6.11) Underlying processes and mathematical tools. The student applies Grade 6 mathematics to solve problems connected to
everyday experiences, investigations in other disciplines, and activities in and outside of school.
The student is expected to:
(A) identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and
with other mathematical topics;
(C) select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture,
looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working
backwards to solve a problem; and
(D) select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math,
estimation, and number sense to solve problems.
(6.13) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify
conclusions.
The student is expected to:
(A) make conjectures from patterns or sets of examples and nonexamples; and
(B) validate his/her conclusions using mathematical properties and relationships.
New TEKS: 6.8A
Targeted College Readiness Standards:

III A2b, III A2d, III A2f, III D1b, III D1c, VIII A1d, VIII A2a, VIII A4b, VIII A5a , VIII A5b, VIII C1a, IX C1a, X A1d
Targeted ELPS:

C1A, C1F, C1H, C2D, C2E, C2G, C3D, C3E, C3H, C5B
Academic Vocabulary:
 Hexagon
 Octagon
 Parallelogram
Unit Title: Geometry
Language of Instruction:
Acute Angle
Acute Triangles
Classify
Decagon
Unit Number 6
Updated Summer 2013
Page 3 of 5
Mathematics
Curriculum Document for 6th grade





Pentagon
Polygon
Quadrilateral
Straight Angle
Vertex
Equilateral Triangle
Heptagon
Isosceles Triangle
Obtuse Angle
Obtuse Triangle
Parallel Lines
Protractor
Rectangle
Rhombus
Right Angle
Right Triangle
Scalene Triangle
Square
Trapezoid
Triangle
Instruction
Instructional Resources:







Textbook 9.3 Classifying angles
Textbook 9.2 measuring angles with a protractor (make sure students are presented situation where the protractor is not lined up at zero)
Textbook 9.4 classifying triangles and solving for missing angle measures
Investigating angles of a Triangle Activity pg. 470
Textbook 9.5 classifying quadrilaterals and finding missing angle measures
Textbook 9.6 Polygons (omit exterior angles and diagonals)
Textbook 9.7 congruent and similar figures
Engaging Mathematics Grade 6 TEKS-Based Activities Classifying Angles Activity 1 and 2 pg. 174-181, Triangles Activity 1, 2, and 3 pg.183,
185, and 187, Quadrilaterals Activity 1, 2, and 3 pg.191, 195, and 197, Circles Introduction: pg.199, Circles Relationship Activity 1, 2, and 3
pg. 201-205
Unit Title: Geometry
Unit Number 6
Updated Summer 2013
Page 4 of 5
Mathematics
Curriculum Document for 6th grade
Technology:
Career Connections/Real Life Application:
Exemplar Lessons:
Research-Based Instructional Strategies:
Assessment
Student self-assessment & reflection:
Acceptable evidence or artifacts:



Unit Title: Geometry
Performance Task Unit 6
Common Assessment- Geometry (2D/3D shapes)- TEKS 6.6A,
6.6B
CA 6 math unit 6
Unit Number 6
Updated Summer 2013
Page 5 of 5