Grade Eight: 2004 - 2005
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.
3rd Nine Weeks - Geometry, Measurement and Spatial Visualization |
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Overview: The focus of the third nine weeks is to: study the coordinate plane and use it to explore transformations; solve problems involving perimeter, area and volume, and the effect of dimensional changes on these measurements; and expand the understanding of number to include irrational numbers and their connection to the Pythagorean Theorem. Topics (in order):
Underlying processes: During this nine weeks students: Use the district problem solving model selecting from draw a picture, look for a pattern, guess and check, act it out, make a table, work a simpler problem or work backwards (8.14B and C); Communicate mathematically using language, appropriate units, and physical models (8.15A); Use real objects, manipulatives, technology, estimation and number sense to solve problems (8.14D); Validate conclusions using mathematical relationships (8.16B); And make connections to everyday experiences (8.14A). Vocabulary:
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| Topic | Resources | |||
| Problem Solving | ||||
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TEKS 8.14B use a problem solving model that includes understanding the problem, devising a plan, carrying out the plan and evaluating the solution for reasonableness 8.14C select or develop an appropriate problem solving strategy from a variety of types to solve a problem
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Lane County 8, p. 5 - 10
Glencoe, p. 30 - 31, 586 - 587 |
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| Topic | Resources | |||
| Similar Figures | ||||
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TEKS 8.3A compare and contrast proportional and non-proportional relationships 8.3B estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates 8.7D locate and name points on a coordinate plane using ordered pairs of rational numbers 8.14C select or develop an appropriate problem solving strategy from a variety of types to solve a problem 8.14D select tools such as real objects, manipulatives, paper/pencil and technology or techniques such as mental math, estimation and number sense to solve problems 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models 8.16A make conjectures from patterns or sets of examples and nonexamples 8.16B validate conclusions using math properties and relationships |
TEXTEAMS Proportionality:
Restless Rectangles (this activity can be extended and revisited during study of the
Effects of Dimensional Changes on
Polygons)
Middle Grades Math Project, Similarity and Equivalent Fractions: Activity 2, 6 Problem Solving Connection: It's Raining! |
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| Indirect Measures | ||||
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TEKS 8.9B use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements 8.3B estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics 8.14B use a problem solving model that includes understanding the problem, devising a plan, carrying out the plan and evaluating the solution for reasonableness |
Mathematics
Standards in the Classroom, p. 94 - 96, 177 - 178
Kamico TAAS Connection Developmental Series Kamico TAKS Connection Developmental Series Book 2, “Proportional Prosperity”, p. 133 - 144 Middle Grades Math Project, Similarity and Equivalent Fractions: Activity 9 |
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| Transformations | ||||
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TEKS 8.7D locate and name points on a coordinate plane using ordered pairs of rational numbers 8.6A generate similar figures using dilations including enlargements and reductions 8.6B graph dilations, reflections and translations on a coordinate plane 8.14D select tools such as real objects, manipulatives, paper/pencil and technology or techniques such as mental math, estimation and number sense to solve problems 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models 8.16A make conjectures from patterns or sets of examples and nonexamples |
TEXTEAMS
Geometry: Reflections, p. 172 - 185
T Glencoe, p. 370 - 373 Kamico TAKS Connection Developmental Series Book 2, “What’s the Point?”, p. 87 – 92 Kamico TAKS Connection Developmental Series Book 2, “Dilation Duel”, p. 11 – 25 Mathematics Standards in the Classroom, p. 139 - 143, 151 - 153 TEXTEAMS Geometry: Dilations On A Coordinate Plane, p. 207 - 215, 219 - 225
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| Irrational Numbers | ||||
| TEKS 8.1C approximate (mentally and with calculators) the value of irrational numbers as they arise in problem
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Mathematics
Standards in the Classroom, p. 47 - 49
SBISD Math Framework 7/8, p. N-46 through p. N-49 Glencoe, p. 385 - 394
TEXTEAMS Numerical Reasoning:
Order on Line |
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| Pythagorean Theorem | ||||
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TEKS 8.7C use pictures or models to demonstrate the Pythagorean Theorem 8.9A use the Pythagorean Theorem to solve real world problems 8.7B use geometric concepts and properties to solve problems in fields such as art and architecture 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics |
SBISD Math Framework 7/8, p. G-24 and Supplement K Lane County 8, p. 189 - 192 Glencoe, p. 396 - 401, 404 - 407 Mathematics Standards in the Classroom, p. 149 - 151 |
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| Topic | Resources | |||
| Perimeter and Area | ||||
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TEKS 8.3A compare and contrast proportional and non-proportional relationships 8.3B estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates 8.4 generate a different representation given one representation of data such as table, graph equation or verbal description 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.5B use an algebraic expression to find any term in a sequence 8.14D select tools such as real objects, manipulatives, paper/pencil and technology or techniques such as mental math, estimation and number sense to solve problems 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models 8.16A make conjectures from patterns or sets of examples and nonexamples 8.16B validate conclusions using math properties and relationships |
*TEXTEAMS Algebraic Reasoning: Stretching Sequences, Activities 1 - 5 (Discuss with 7th grade teachers regarding the depth to which it was taught) | |||
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8.4 generate a different representation given one representation of data such as table, graph equation or verbal description 8.2A select and use appropriate operations to solve problems involving rational numbers and justify selections 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.5B use an algebraic expression to find any term in a sequence |
TEXTEAMS Algebraic Reasoning: Swimming Pool | |||
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7.4A generate formulas involving conversions, perimeter, area, circumference, volume, and scaling 8.2C evaluate a solution for reasonableness |
Glencoe, p. 38 - 42, 301 - 304, 309 - 311, 476 - 479 |
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8.7B use geometric concepts and properties to solve problems in fields such as art and architecture 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models |
Kamico TAAS
Connection Developmental Series (Green Book), "Design Your Own Park", p. 375 - 380 TEXTEAMS Geometry: Investigating Areas of Different Polygons, Activities 1& 2, p. 348 - 356 |
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| Topic | Resources | |||
| Geometric Investigations of Proportional and Non-Proportional Relationships | ||||
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TEKS 8.3A compare and contrast proportional and non-proportional relationships 8.4 generate a different representation given one representation of data such as table, graph equation or verbal description 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.5B use an algebraic expression to find any term in a sequence 8.7B use geometric concepts and properties to solve problems in fields such as art and architecture 8.14B use a problem solving model that includes understanding the problem, devising a plan, carrying out the plan and evaluating the solution for reasonableness 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models 8.15B evaluate the effectiveness of different representations to communicate ideas |
TEXTEAMS Geometry: Park Path Designs
Mathematics Standards in the Classroom, p. 96 - 102 |
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| Effects of Dimensional Changes on Polygons and Circles | ||||
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TEKS 8.10A desribe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally 8.1C approximate (mentally and with calculators) the value of irrational numbers as they arise in problem
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Middle Grades Math
Project, Mouse and Elephant: Activity 7
Mathematics Standards in the Classroom, p. 179 - 181 Kamico TAKS Connection Developmental Series Book 2, “Double Play, Triple Play”, p. 145 – 157 Middle Grades Math Project, Similarity and Equivalent Fractions: Activity 3, 5, and 6 (extend to emphasize Scale Factor Growth) TEXTEAMS Proportionality: Restless Rectangles (revisit tables from this activity from Similar Figures and make connections to scale factor effects on perimeter and area) |
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| Perspective Drawing of 3-Dimensional Figures | ||||
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TEKS 8.7A draw three-dimensional figures from different perspectives |
Middle Grades Math
Project, Spatial Visualization: Activities 1 - 10
Kamico TAKS Connection Developmental Series Book 2, “ Do You See What I See?”, p. 41 – 46 |
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| Nets and Surface Area | ||||
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TEKS 8.8A find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models) 8.1C approximate (mentally and with calculators) the value of irrational numbers as they arise in problem
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Kamico TAKS Connection Developmental Series Book 2, “Don’t Get Caught in the Net!”, P. 93 – 104 |
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| Nets, Surface Area, Volume and Applications | ||||
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TEKS 8.8A find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models) 8.8B connect model of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects 8.8C estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume 8.7B use geometric concepts and properties to solve problems in fields such as art and architecture 8.1C approximate (mentally and with calculators) the value of irrational numbers as they arise in problem
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TEXTEAMS
Geometry: Investigating Volume and Surface Area,
Activities 1 - 3, p. 398 - 403, p. 407 - 414 Middle Grades Math Project, Mouse and Elephant: Activities 4, 5, and 6 Mathematics Standards in the Classroom, p. 171 - 173 Kamico TAKS Connection Developmental Series Book 2, “Dicey Dimensions”, p. 116 – 119 Glencoe, p. 486 - 493, 495 - 502 Visual Math Volume I, Lesson 83 |
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| Effects of Dimensional Changes on Solids | ||||
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TEKS 8.10B describe the resulting effects on volume when dimensions of a solid are changed proportionally 8.8C estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models |
TEXTEAMS
Geometry: Investigating Volume and Surface Area, Activity
4, p. 403 - 406, p. 415 - 418 Middle Grades Math Project, Mouse and Elephant: Activity 8 Mathematics Standards in the Classroom, p. 182 - 184 Kamico TAKS Connection Developmental Series Book 2, “Turn Up the Volume”, p. 158 – 174 |
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