Grade 8 - 2nd Nine Weeks

Grade Eight:  2004 - 2005

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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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2nd Nine Weeks - Proportionality and
Algebraic Reasoning

TAKS 1, 2, 6

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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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Algebraic Reasoning Proportionality Percents
Arithmetic Sequence Constant of Proportionality Interest
Coefficient Non-proportional Relationship Principal
Equation Proportion Rate
Expression Proportional Relationship Rate of Interest
Patterns Scale Factor  
Position in a Sequence Similarity  
Terms Unit Rate  
Value of Term    
Variable    

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Topic Resources
Problem Solving
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
  • Look for a pattern
  • Make a table
Lane County 8, p. 11 - 16

Glencoe, p. 140 - 141, 294 - 295

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Topic Resources
One-Step Equations
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
  • Include discount, sales tax, commission, simple interest and other real world applications
  • Make connections to the 1% and 10% methods
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

K
amico TAKS Connection Developmental Series Book 1, “Three-Point Play”, p. 28 – 41

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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Topic Resources
Scale Factor
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

Mathematics Standards in the Classroom, p. 57 - 58

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Topic Resources
Unit Rates
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
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
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

Mathematics Standards in the Classroom, p. 55 - 56

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Topic Resources
Muti-Step Equations
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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