Grade 8 - 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.

4th Nine Weeks
Probability, Statistics & Algebraic Reasoning

TAKS 2, 5, 6

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Overview: The focus of the fourth nine weeks is to study and create different representations of statistical data, and make predictions and draw conclusions from given data. Students simulate events and find dependent and independent probabilities. Connections are made through Algebraic Reasoning.

Topics (in order):

Problem Solving
Measures of Central Tendency
Construct Graphical Displays of Data
Sampling and Evaluating Misuses of Graphical / Numerical Data
Estimate Solutions to Application Problems Using Tables and Graphs
Use Scatterplots to Analyze Trends and Make Predictions
Probability
Sampling to Make Predictions
Algebraic Reasoning
Operations with Rational Numbers

Underlying processes: During this nine weeks students: Use the district problem solving model selecting appropriate strategies (8.14B and C); Communicate mathematically using language, appropriate units, and graphical, numerical or algebraic models (8.15A); Evaluate effectiveness of different representations (8.15B); Use manipulatives, technology, estimation and number sense to solve problems (8.14D); Make conjectures from patterns (8.16A); Validate conclusions using mathematical relationships (8.16B); And make connections to everyday experiences (8.14A).

Vocabulary:
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Data Representation & Analysis	Probability
Box and Whisker Plots	Dependent Events Experimental Probability Independent Events Outcomes Sample Space Theoretical Probability
Frequency Table
Histogram
Line Graphs
Line Plots
Measures of Central Tendency Mean Median Mode
Range
Sampling
Scatterplot
Stem and Leaf plots
Validity of Inference
Venn Diagrams

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 Make a systematic list Act it out		*Lane County 8,* p. 17 - 22 *Glencoe,* p. 240 - 241, 538 - 539
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Topic		Resources
Measures of Central Tendency
TEKS 8.12A select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation		Mathematics Standards in the Classroom, p. 220 - 221 *Kamico TAKS Connection Developmental Series* Book 2, “Do You Mean the Median and the Mode?”, p.195 – 20
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Topic		Resources
Construct Graphical Displays of Data Circle Graphs, Bar Graphs, Histograms, Line Graphs, Line Plots, Stem and Leaf Plots, Box and Whisker Plots, and Venn Diagrams
TEKS 8.12C select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams with and without the use of technology 8.13A evaluate methods of sampling to determine validity of an inference made from a set of data 8.13B recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis 8.16B validate conclusions using math properties and relationships		*Kamico TAKS Connection Developmental Series* Book 2, “Can You Spot the Imposters?”, p. 211 – 223 *Glencoe,* p. 142 - 155
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Topic		Resources
Sampling and Evaluating Misuses of Graphical / Numerical Data
TEKS 8.12C select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams with and without the use of technology 8.13A evaluate methods of sampling to determine validity of an inference made from a set of data 8.13B recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis		Mathematics Standards in the Classroom, p. 227 - 230 *SBISD Math Framework 7/8,* p. P-31 through p. P-34 *Kamico TAKS Connection Developmental Series* Book 2, “What’s Your Prediction?”, p. 248 – 250 *Glencoe,* p. 171 - 181
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Topic		Resources
Estimate Solutions to Application Problems Using Tables and Graphs
8.5A predict, find, and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.14B use a problem-solving model that incorporates understanding the problem, making 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		*Kamico TAKS Connection Developmental Series* Book 2, “U R D S T Mator”, p.218 - 222
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Topic		Resources
Use Scatterplots to Analyze Trends and Make Predictions
TEKS 8.12B draw conclusions and make predictions by analyzing trends in scatterplots 8.16A make conjectures from patterns or sets of examples and nonexamples		Mathematics Standards in the Classroom, p. 222 - 223 *Glencoe,* p. 168 - 170
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Topic		Resources
Probability
TEKS 8.11A find probabilities of dependent and independent events 8.11B use theoretical probabilities and experimental results to make predictions and decisions 8.11C select and use different models to simulate an event 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		*Middle Grades Math Project, Probability:* Activities 3 - 7 Mathematics Standards in the Classroom, p. 218 - 220 TEXTEAMS Proportionality: What Did You Expect?, Activities 3, 4 *TEXTEAMS Proportionality:* What's in the Bag? *TEXTEAMS Geometry:* Sky Diving, p. 357 - 364 *Glencoe,* p. 534 - 545
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Topic		Resources
Sampling to Make Predictions
TEKS 8.13A evaluate methods of sampling to determine validity of an inference made from a set of data		*Glencoe,* p. 546 - 548
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TAKS Test Should Occur Here in the Curriculum
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Topic		Resources
Algebraic Reasoning
TEKS 8.4 generate a different representation of data given another representation of data (such as table, graph equation or verbal description) 8.2A select appropriate operations to solve problems involving rational numbers and justify the selections 8.2D use multiplication by a constant factor (unit rate) to represent proportional relationships 8.3A compare and contrast proportional and non-proportional linear relationships 8.5A predict, find, and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.5B find and evaluate an algebraic expression to determine any term in an arithmetic sequence 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 8.15B evaluate the effectiveness of different representations to communicate ideas		*TEXTEAMS Algebraic Reasoning:* Cross Country Cycling *Kamico TAKS Connection Developmental Series* Book 1, “There’s More Than One Way”, p. 197 – 203 *Mathematics Standards in the Classroom,* p. 103 - 105

8.16A make conjectures from patterns or sets of examples and nonexamples 8.4 generate a different representation of data given another representation of data (such as table, graph equation or verbal description) 8.5A predict, find, and justify solutions to application problems using appropriate tables, graphs and algebraic equations 8.12B draw conclusions and make predictions by analyzing trends in scatterplots 8.14B use a problem-solving model that incorporates understanding the problem, making 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		*TEXTEAMS Algebraic Reasoning:* Movin' on Down the Line *TEXTEAMS Algebraic Reasoning:* Moving with Technology
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Topic		Resources
Operations with Rational Numbers
TEKS 8.2A select appropriate operations to solve problems involving rational numbers and justify the selections 8.2B use appropriate operations to solve problems involving rational numbers in problem situations 8.2C evaluate a solution for reasonableness		*Glencoe,* p. 278 - 292
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