Grade 6 - 3rd Nine Weeks

Grade Six:  2004 - 2005

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Grade 6 - 1st Nine Weeks
Grade 6 - 2nd Nine Weeks
Grade 6 - 3rd Nine Weeks
Grade 6 - 4th Nine Weeks

Note:  The resources in this document are listed in order of importance from top to bottom.  TEXTEAMS activities provide students with an experience that interweaves and encompasses a large number of TEKS.   Should you choose another suggested activity in place of  TEXTEAMS, be aware that these other activities may expose students to only one of the TEKS indicated, therefore eliminating the multi-faceted, interconnectedness of TEXTEAMS.  Many of the additional listed activities provide reinforcement and extension of the concepts.

*denotes this TEXTEAMS unit has been referenced in at least one other grade level.  Please check with the appropriate grade level team(s) to determine the depth of coverage.

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3rd Nine Weeks
Geometry and Measurement

TAKS 2, 3, 4, 6

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Overview:  The focus of the third nine weeks is to formalize geometric vocabulary to describe plane figures. The use of variable is introduced. Application problems focus on perimeter, circumference and area.

Topics (in order): 

Underlying processes: Use the district problem-solving model (6.11B) emphasizing make a model, and use logical reasoning (6.11C) to make conjectures and verify conclusions (6.13A and B); Communicate mathematical ideas using language, graphical, numerical, physical and algebraic models (6.12A) and evaluate the effectiveness of different representations (6.13B); Use manipulatives, technology, mental math, and estimation to solve problems (6.11D). Mathematical applications and connections are made to every day experiences (6.11A).

Vocabulary (by topic):

Proportionality with Percent Angles Triangles & Quadrilaterals Coordinate Geometry
Equal ratio Acute Angle Acute triangle Coordinate graph
Percent Angle Congruent segments Ordered-pair
Proportion Degree Convex Origin
Rate Obtuse Angle Equilateral triangle x-axis
Ratio Perpendicular Isosceles y-axis
Unit rate Right Angle Obtuse triangle  
  Sides Parallelogram Volume of Solids
Basic Terms Straight Angle Polygon Bases
Line Vertex Rectangle Cube
Line Segment   Rhombus Edge
Parallel Circle Relationships Right Triangle Faces
Perpendicular Circle Scalene Triangle Prism
Point Circumference Square Three-Dimensional Figures
Ray Diameter Trapezoid Vertex
  Radius   Volume
    Perimeter and Area  
    Area Integers
    Perimeter Integers
      Opposites
       
       
       

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Topic Resources
Proportionality Through Percent Models
TEKS
6.1A compare and order non-negative rational numbers
6.3B represent ratios and percents with concrete models, fractions, and decimals
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 		*TEXTEAMS Numerical Reasoning: Percent Benchmarks

Prentice Hall, Section 7-6

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Topic Resources
Conversions - Fractions, Decimals, Percents
TEKS
6.3B represent ratios and percents with concrete models, fractions, and decimals 		Mathematics Standards in the Classroom, p. 63-64

Kamico TAKS Connection Developmental Series Book 2, “Ratio Rummy”, p. 146 – 166

Prentice Hall, Section 7-7

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Topic Resources
Circle Graphs to Represent Percent
TEKS
6.10C sketch circle graphs to display data
6.3B represent ratios and percents with concrete models, fractions, and decimals
6.1B generate equivalent forms of rational numbers including whole numbers, fractions, and decimals 		Mathematics Standards in the Classroom, p. 196 - 198

Prentice Hall, Section 7-10

Kamico TAKS Connection Developmental Series Book 1, “Going in Circles”, p. 156 – 161

 

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Topic Resources
Classify Angles
TEKS
6.6A use angle measurements to classify angles as acute, obtuse, or right. 		Prentice Hall, Section 8-1

Kamico TAKS Connection Developmental Series Book 1, “Be an Expert Angler”, p. 223 – 237

Prentice Hall, Section 8-2

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Topic Resources
Measure Angles
TEKS
6.8C measure angles 		Prentice Hall, Section 8-2

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Topic Resources
Triangles and Quadrilaterals
  • Classify
  • Angle Relationships
TEKS
6.6B identify relationships involving angles in triangles and quadrilaterals
6.8C measure angles
6.6A use angle measurements to classify angles as acute, obtuse, or right
6.8B select and use appropriate units, tools, or formulas to measure and solve problems involving length (including perimeter), area, time, temperature, volume, and weight		 TEXTEAMS Geometry: Investigating Properties of Triangles, p. 247-257

Triangle Concentration

Prentice Hall, Sections 8-4, 8-5, 8-6

Kamico TAKS Connection Developmental Series Book 1, “Angle Tangle”, p. 238 – 254

 

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Topic Resources
Perimeter and Area
TEKS
 6.4A use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences with a constant rate of change) and, perimeter and area
6.4B use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.
6.5 formulate equations from problem situations described by linear relationships
6.8A estimate measurements (including circumference) and evaluate reasonableness of results
6.8B select and use appropriate units, tools, or formulas to measure and solve problems involving length (including perimeter), area, time, temperature, volume, and weight
6.8D convert measures within the same measurement system (customary and metric) based on relationships between units
6.10D solve problems by collecting, organizing, displaying, and interpreting data
6.11C 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
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
6.13A make conjectures from patterns for sets of examples and non-examples		 TEXTEAMS Algebraic Reasoning: Pipe Cleaners, Activity 1 - 2

Middle Grades Mathematics Project, Mouse and Elephant:  Activities 1 - 3

Mathematics Standards in the Classroom, p. 67-69, 72-73

Prentice Hall, Section 9-1

Prentice Hall, Section 9-2

Prentice Hall, Section 9-3

Visual Math Volume I - Lesson 18

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Topic Resources
Coordinate Geometry
  • First Quadrant Only
TEKS
 6.7 locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers

Kamico TAKS Connection Developmental Series Book 1, “Get Right to the Point”, p. 273 – 290

Name That Point!

Coordinate Plane Detective

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Topic Resources
Circle Relationships - Radius, Diameter, Circumference, Area
TEKS
6.6C describe the relationship between radius, diameter, and circumference of a circle
6.3A use ratios to describe proportional situations
6.3B represent ratios and percents with concrete models, fractions, and decimals
6.3C use ratios to make predictions in proportional situations
6.4A use tables and symbols to represent and describe proportional and other relationships such as those  involving conversions,  arithmetic sequences (with a constant rate of change), perimeter and area
6.5 formulate equations from problem situations described by linear relationships
6.7 locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers
6.8B select and use appropriate units, tools, or formulas to measure and solve problems involving length (including perimeter), area, time, temperature, volume, and weight
6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
6.12B evaluate the effectiveness of different representations to communicate ideas
6.13A make conjectures from patterns for sets of examples and non-examples
6.13B validate his/her conclusions using mathematical properties and relationships 		 *TEXTEAMS Proportionality: Pi Anyone?, Activity 1
  • Consider modifying Activity 2 by preparing the inscribed circles in advance

Mathematics Standards in the Classroom, p. 113-115

Visual Math Volume II - Lesson 118, 120

Kamico TAKS Connection Developmental SeriesBook 1, “Circum-Navigation”, p. 255 – 272

Prentice Hall, Section 8-10

Prentice Hall, Section 9-4

Prentice Hall, Section 9-5

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Topic Resources
Volume of Rectangular Prisms
  • Vocabulary including edge, face, vertex, base 
TEKS
 6.4B generate formulas to represent relationships involving perimeter, area, volume of a rectangular prism, etc., from a table of data
6.3A use ratios to describe proportional situations

Mathematics Standards in the Classroom, p. 61-62, and 69-71

Prentice Hall, Section 9-8

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Topic Resources
Integers
  • Operations with integers are taught in 7th grade
TEKS
 6.1C use integers to represent real-life situations 		Mathematics Standards in the Classroom, p. 7-8

Prentice Hall, Section 10-1

Prentice Hall, Section 10-2

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