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.
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*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.
2nd
Nine Weeks - Proportionality and |
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Overview: The focus of the second nine weeks is to develop Algebraic Reasoning through the study of proportionality and its application. Topics (in order):
Underlying processes: During this nine weeks students: Use the district problem solving model emphasizing look for a pattern and make a table (8.14B and C); Communicate mathematically using language, physical, and algebraic models (8.15A); Use manipulatives and technology to solve problems (8.14D); Make conjectures from patterns or sets of examples/non-examples (8.16A); 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. 11 - 16
Glencoe, p. 140 - 141, 294 - 295 |
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| Topic | Resources | |
| One-Step Equations | ||
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TEKS 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs, and algebraic equations |
SBISD Math Framework 7/8, Algebra Tiles - p. A-33 through p. A-37, See Supplement D | |
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| Topic | Resources | |
Connecting
Proportions to Percent Situations
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TEKS 8.3B estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates 8.1B select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships 8.2A select and use appropriate operations to solve problems involving rational numbers and justify selections 8.2B use appropriate operations to solve problems involving rational numbers in problem situations 8.2C evaluate a solution for reasonableness 8.2D use multiplication by a constant factor (unit rate) to represent proportional relationships 8.4 generate a different representation given one representation of data such as table, graph equation or verbal description 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 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 8.15B evaluate effectiveness of different representations to communicate ideas 8.16A make conjectures from patterns or sets of examples and nonexamples 8.16B validate conclusions using math properties and relationships |
*TEXTEAMS Numerical Reasoning: Shopping Spree *TEXTEAMS Numerical Reasoning: Tax-N-Tip TEXTEAMS Proportionality: What Does It Cost? Activities 1 and 2 Lane County 8, p. 211 - 239 Mathematics Standards in the Classroom, p. 51 - 54 |
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| Topic | Resources | |
| Compare and Contrast Proportional Relationships | ||
| TEKS 8.3A compare and contrast proportional and non-proportional relationships 8.2D use multiplication by a constant factor (unit rate) to represent 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 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics 8.14C select or develop an appropriate problem solving strategy from a variety of types to solve a problem 8.15A communicate math ideas using language, efficient tools, appropriate units, and graphical, numerical, physical or algebraic math models 8.15B evaluate effectiveness of different representations to communicate ideas 8.16A make conjectures from patterns or sets of examples and nonexamples 8.16B validate conclusions using math properties and relationships |
TEXTEAMS Proportionality:
Short Stack, Please!
TEXTEAMS Proportionality: Jet Ski Rental Follow up to Short Stack and Jet Ski Rental Mathematics Standards in the Classroom, p. 92 - 94 |
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| Scale Factor | ||
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TEKS 8.2D use multiplication by a constant factor (unit rate) to represent 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 8.14A 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 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 |
*TEXTEAMS Proportionality:
Perplexing Puzzle
*TEXTEAMS Proportionality: Perfect Paint Color Kamico TAAS Connection Developmental Series, (Green Book), "The Constant Rating Game" p. 45 - 59 |
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| Unit Rates | ||
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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 8.1B select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships 8.2A select and use appropriate operations to solve problems involving rational numbers and justify selections 8.2B use appropriate operations to solve problems involving rational numbers in problem situations 8.2C evaluate a solution for reasonableness 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics |
*TEXTEAMS
Proportionality: Unit Rates
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| Topic | Resources | |
| Scale Factor and Unit Rates with Percents | ||
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TEKS 8.3B estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates 8.1B select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships 8.2A select and use appropriate operations to solve problems and justify selections 8.2C evaluate a solution for reasonableness 8.2D use multiplication by a constant factor (unit rate) to represent 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 8.14A identify and apply math to everyday experiences, in and out of school, with other disciplines and other math topics 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 |
*TEXTEAMS Proportionality: Percent Bars | |
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| Topic | Resources | |
| Problem Solving with Proportions | ||
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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 8.2C evaluate a solution for reasonableness |
Kamico TAAS Connection Developmental Series, p. 60 - 72 | |
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| Muti-Step Equations | ||
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TEKS 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 8.5A estimate, find and justify solutions to application problems using appropriate tables, graphs and algebraic equations |
TEXTEAMS Algebraic Reasoning:
Cover Up
SBISD Math Framework 7/8, Algebra Tiles - p. A-39 through p. A-44, See Supplement E, F |
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