Grade 7 - 3rd Nine Weeks

Grade Seven:  2004 - 2005

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Grade 7 - 1st Nine Weeks
Grade 7 - 2nd Nine Weeks
Grade 7 - 3rd Nine Weeks
Grade 7 - 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 & Spatial Visualization / Proportionality

TAKS 2, 3, 6

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Overview:  The focus of the third nine weeks is to apply geometric definitions and properties to compare and contrast plane figures, including the properties of similarity. Application problems focus on perimeter, area and volume.

Topics (in order): 

Underlying processes:  Use the district problem-solving model emphasizing draw a picture, guess and check and selecting from work a simpler problem, look for a pattern, and make a table (7.13B and C); Communicate mathematically using language, appropriate units, numerical and physical models (7.14A); Use real objects, paper/pencil and mental math to solve problems (7.13D); Validate conclusions using mathematical properties (7.15B); And make connections to everyday experiences. 

Vocabulary:
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Basic Terms Angles Triangles and Quadrilaterals Circles
Point Acute Acute Area
Line Congruent Area Circumference
Line Segment Complementary Congruent Diameter
Parallel Obtuse Equilateral Pi
Perpendicular Right Isosceles Radius
Ray Straight Obtuse
  Supplementary Parallelogram Solids
  Perimeter Base
Coordinate Plane Number Rectangle Cone
Ordered Pair Square Numbers Rhombus Cylinder
Translation Square Roots Right Edge
  Scalene Face
Patterns   Similar Net of the surface area
Position in a Sequence   Square Prism
Value of Term   Trapezoid Pyramid
  Volume

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Topic Resources
Problem Solving
TEKS
7.13B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness
  • Draw a picture
  • Guess and check
7.13C 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
Lane County 7, p. 25 - 30, 5 - 10

Glencoe 7, p. 330 - 331, 496 - 497, 408 - 409 

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Topic Resources
Classify Angles and Shapes
TEKS
7.6A use angle measurements to classify pairs of angles as complementary or supplementary
Glencoe 7, p. 362 - 365

Kamico TAAS Connection Developmental Series, p. 104 - 115

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Topic Resources
Classify Triangles and Quadrilaterals
TEKS
7.6B
use properties to classify triangles and  quadrilaterals
7.15A
make conjectures from patterns or sets of examples and non-examples
7.15B
validate conclusions using mathematical properties and relationships

SBISD Math Frameworks 7/8, p. G-12 through G-14

Mathematics Standards in the Classroom, p. 120 - 122

Glencoe 7, p. 382 - 385

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Topic Resources
Graphing on a Coordinate Plane - All Four Quadrants
TEKS
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models

Mathematics Standards in the Classroom, p. 127 - 131

Kamico TAKS Connection Developmental Series Book 2, “Battleship”, p. 63 – 66

Glencoe 7, p. 191 - 194

Name That Point!

Coordinate Plane Detective (includes class notes and homework)

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Topic Resources
Graphing Translations
TEKS
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
7.7B
graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane
7.13D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.15A
make conjectures from patterns or sets of examples and non-examples
TEXTEAMS Geometry: Translations, p. 160 - 171

Kamico TAKS Connection Developmental Series Book 2, “Translation Station”, p. 80 – 91

Glencoe 7, p. 215 - 217

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Topic Resources
Model Squares and Square Roots
TEKS
7.1C
represent squares and square roots using geometric models

Glencoe 7, p. 410 - 414

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Topic Resources
Perimeter and Area of 2-Dimensional Figures
  • Perimeter of all figures
  • Area of triangles, squares, rectangles, parallelograms, trapezoids
TEKS
7.4A
generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.4C
use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
7.13A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.15A
make conjectures from patterns or sets of examples and non-examples

*TEXTEAMS Algebraic Reasoning: Stretching Sequences, Activities 1, 2, 3, 4

TEXTEAMS Geometry: Investigating Perimeter and Area, Activities 1- 2, p. 336 - 347

Relationships to Count On and Graph II

Mathematics Standards in the Classroom, p. 79 - 84

Lane County 7, p.199 - 200

Glencoe 7, p.28 - 33, 292 - 295, 427 - 431

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Topic Resources
Circle Relationships
TEKS
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.4A
generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.2D
use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.14B
evaluate the effectiveness of different representations to communicate ideas
7.15A
make conjectures from patterns or sets of examples and non-examples
7.15B
student is expected to validate his/her conclusions using mathematical properties and relationships
*TEXTEAMS Proportionality: Pi Anyone? (opportunity to have students measure with rulers)

Glencoe 7, p. 297 - 300, 432 - 435

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Topic Resources
Similarity and Similar Figures
TEKS
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.2F
select and use appropriate operations to solve problems and justify the selections
7.4A
generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.5A
use concrete and pictorial models to solve equations and use symbols to record the actions
7.6D
use critical attributes to define similarity
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
7.9A
estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes
7.13A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
7.13D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.14B
evaluate the effectiveness of different representations to communicate ideas
7.15A
make conjectures from patterns or sets of examples and non-examples
7.15B
validate conclusions using mathematical properties and relationships
TEXTEAMS Geometry:  Are These Shapes Similar? p. 280 - 285

Middle Grades Mathematics Project, Similarity and Equivalent Fractions:  Activity 3

*TEXTEAMS Proportionality: Perplexing Puzzle

Glencoe 7, p. 376 - 379

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Topic Resources
Classify Three Dimensional Figures
  • Review vocabulary for three dimensional figures
TEKS
7.6C use properties to classify three dimensional figures, including pyramids, cones, prisms, and cylinders
SBISD Math Frameworks 7/8, p. G-27 through G-28

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Topic Resources
Sketching Three Dimensional Figures
TEKS
7.8A sketch three dimensional figures when given the top, side and front views
  • Surface area is explored by drawing nets of a 3-dimensional figure and vice versa (See below)
7.8C use geometric concepts and properties to solve problems in fields such as art and architecture
Middle Grades Mathematics Project,  Spatial Visualization:  Activities 1 - 3

SBISD Math Frameworks 7/8, Block City, p. G - 32

Mathematics Standards in the Classroom, p. 132 - 134

Kamico TAKS Connection Developmental Series Book 2, “Outline Your Views”, p. 95 – 100

Glencoe 7, p. 490 - 495

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Topic Resources
Nets to Model Surface Area
TEKS
7.8B make a net (two-dimensional model) of the surface area of a three dimensional figure
  • Students are required to recognize the shape of the surface area, but not to compute the surface area
Mathematics Standards in the Classroom, p. 135 - 136

Glencoe 7, p. 508 - 509

Kamico TAKS Connection Developmental Series Book 2, “Solid Selections”, p. 101 – 103

Problem Solving Connection: How Do You Print A Ribbon On A Box?
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Topic Resources
Volume of Three Dimensional Figures
TEKS
7.9B connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders
7.9C
estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders
7.8C
use geometric concepts and properties to solve problems in fields such as art and architecture
 
Middle Grades Mathematics Project, Mouse and Elephant:  Activity 4

Lane County 7, p. 191 - 196 (Volume only)

Glencoe 7, p. 498 - 506

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