Grade 7 - 4th Nine Weeks

Grade Seven:  2004 - 2005

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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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4th Nine Weeks
Number
(Integers & Equations) / Probability & Statistics / Algebraic Reasoning

TAKS 1, 2, 5, 6

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Overview:  The focus of the fourth nine weeks is to perform operations with integers, explore probability and statistics, and make connections through algebraic reasoning.

Topics (in order): 

Underlying processes:  Use the district problem-solving model emphasizing act it out, work backwards and selecting from draw a picture, work a simpler problem, look for a pattern, make a table, and guess and check (7.13B and C); Communicate mathematically using graphical, numerical and algebraic models (7.14A); Use estimation and number sense to solve problems (7.13D); Make conjectures from patterns or sets of examples/non-examples and validate conclusions using mathematical relationships (7.15A and B); And make connections to everyday experiences (7.13A). 

Vocabulary:
 

Data Representation & Analysis Probability
Bar Graphs Composite Experiments
Circle Graphs Experimental Probability
Frequency Table Independent Events
Line Graphs Outcomes
Line Plot Sample Space
Mean Simple Experiment
Median Theoretical Probability
Mode Tree Diagram
Range                                             
Stem and Leaf Plot  
Venn Diagram  

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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
  • Act it out
  • Work backwards
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
Glencoe 7, p. 528 - 529, 232 - 233

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Topic Resources
Compare and Order Integers
TEKS
7.1A compare and order integers and positive rational numbers
SBISD Math Framework 7/8, p. N-20

Mathematics Standards in the Classroom, p. 23 - 24

Glencoe 7, p.184 - 190

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Topic Resources
Operations with Integers
  • Include Order of Operations
TEKS
7.2C use models such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms
Glencoe 7, p. 196 - 209

Subtraction with Integer Chips

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Topic Resources
Model Solving Equations
TEKS
7.5A use concrete and pictorial models to solve equations and use symbols to record the actions
Magnetic Manipulatives to Model Equation Solving

Zero Pairs/Solving Equations with Models

Modeling Equations with Algebra Tiles (with Teacher Notes)

Algebra Tiles I - connects models to words

Algebra Tiles II - connects models to words and symbols

Algebra Tiles III - connects models to words and symbols

Equation Models - includes non-algebra tile models

Equation Model Match Game

Mathematics Standards in the Classroom, p. 88 - 89

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Topic Resources
Statistics
  • Mean, median, mode and range
  • Which do I select, and why?
TEKS
7.12A describe a set of data using mean, median, mode, and range
7.12B
choose among mean median, mode, or range to describe a set of data and justify the choice for a particular situation
SBISD Math Framework 7/8, p. P-37 through P-39

Glencoe 7, p. 88 - 89, 102 - 106

Mathematics Standards in the Classroom, p. 212 - 213

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Topic Resources
Data Representation and Analysis
  • Frequency tables, bar graphs, circle graphs, charts, line graphs, line plot, and stem and leaf plot
  • Estimating percents using circle graphs
  • Venn diagrams
  • Discuss misleading statistics
  • Analyze data
TEKS
7.11A select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection
7.11B
make inferences and convincing arguments based on an analysis of given or collected data
Exploring Data from Bar Graphs

Exploring Multiple Representations of Data

*TEXTEAMS Numerical Reasoning: Around We Go!

Mathematics Standards in the Classroom, p. 205 - 208

Visual Math Volume II, Lesson 86 - Venn Diagrams

Kamico TAAS Connection Developmental Series, p. 179 - 183

Glencoe 7, p. 88 - 97, 459 - 463, 119 - 121

America's Scream Machines (Glencoe Chapter 6 Project)

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Topic Resources
Probability
TEKS
7.10A
construct sample spaces for simple or composite experiments
Sample Spaces with Tree Diagrams and Tables
  • Sample Spaces for Events
SBISD Math Frameworks 7/8, p. P-5, "Count that Money"
  • Counting Principle / Tree Diagram
SBISD Math Frameworks 7/8, p. P-7, "Jenny's Outfits"
Glencoe 7, p. 534 - 541
  • Experimental / Theoretical Probability
SBISD Math Frameworks 7/8, p. P-16 through P-18
Glencoe 7, p. 530 - 533
  • Probability With and Without Replacement

SBISD Math Frameworks 7/8, p. P-20 through P-21 (extend this activity to do without replacement)

Glencoe 7, p. 542 - 545 

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TAKS Test Should Occur Here
in the Curriculum

Looking for something different for TAKS Review???
Try this TAKS Review Jeopardy Game!

To insure that all sound effects will work when you use this powerpoint, RIGHT CLICK on
each of the files below and click on SAVE TARGET AS.  Be sure to save them in the same folder on your computer.
(See your SIS if you need help!)

TAKS Review Jeopardy Powerpoint
Answer Key
Sound File 1 (final jeopardy.wav)
Sound File 2 (intro.wav)
Sound File 3 (jeopardy song.wav)
Sound File 4 (thinktheme.wav)

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Topic Resources
Find Probabilities of Independent Events
TEKS
7.10B find the probability of independent events
Mathematics Standards in the Classroom, p. 203 - 204

Middle Grades Mathematics Project, Probability:  Activities 6, 7

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Topic Resources
Problem Solving Connecting Geometry and Probability
TEKS
7.8C use geometric concepts and properties to solve problems in fields such as art and architecture
7.9A estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes
7.10B
find the probability of independent events
7.11B
make inferences and convincing arguments based on an analysis of given or collected data
7.12A
describe a set of data using mean, median, mode, and range
7.12B
choose among mean median, mode, or range to describe a set of data and justify the choice for a particular situation
7.13A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
7.13B
use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness
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
7.15B
validate conclusions using mathematical properties and relationships 
Helicopter Project

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Topic Resources
Algebraic Reasoning
  • Formalize the input / output model for functions and connect to multiple representations
TEKS
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
7.2B
use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.5B
formulate problem situations when given a simple equation and formulate an equation when given a problem situation
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
7.13B
use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness
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
7.15B
validate conclusions using mathematical properties and relationships 
TEXTEAMS Algebraic Reasoning: Making Connections

Mathematics Standards in the Classroom, p. 85 - 87, 90 - 91

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Topic Resources
More Proportionality
TEKS
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.7A
locate and name points on a coordinate plane using ordered pairs of integers
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
TEXTEAMS Proportionality: Slithering Solids

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