Grade 7 - 2nd Nine Weeks

Grade Seven:  2004 - 2005

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Grade 7 - 2nd Nine Weeks
Grade 7 - 3rd Nine Weeks
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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2nd Nine Weeks
Number, Proportionality, Measurement
with Algebraic Reasoning

TAKS 1, 2, 4, 6

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Overview:  The focus of the second nine weeks is to make connections between fractions, decimals and percents. Proportional relationships are explored through scaling, measurement and unit rates.

Topics (in order): 

Underlying processes:  Use the district problem-solving model emphasizing look for a pattern and make a table (7.13B and C); Communicate mathematically using language, physical and graphical models (7.14A); Use real objects, estimation and technology to solve problems (7.13D); Make conjectures from patterns or sets of examples/non-examples and validate conclusions based on collected data (7.15A and B); Evaluate the effectiveness of different representations of data (7.14B); And make connections to everyday experiences (7.13A)

Vocabulary:
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Graphs Percents Proportionality Patterns
Bar Graph  Benchmark Equivalent Ratios Position in a sequence
Circle Graph Discount Rate Proportion Value of term
Data Discounted Price Ratio Arithmetic Sequence
Horizontal Axis Original Price Scale  
Vertical Axis Percent Scale Factor  
Sale Price Unit Rate  

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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
  • Look for a pattern
  • Make a table
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
Lane County 7, p. 13 - 17

Glencoe 7, p. 210 - 211

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Topic Resources
Scaling in Proportional Situations
TEKS
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.14B
evaluate the effectiveness of different representations to communicate ideas
*TEXTEAMS Proportionality: Perfect Paint Color

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Topic Resources
Unit Rates
TEKS
7.2D
use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio
7.2F
select and use appropriate operations to solve problems and justify the selections
7.2G
determine the reasonableness of a solution to a problem
7.3B
estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.4A
generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
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 and 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
7.13D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
Discovering Unit Rates: "Raking Leaves"

*TEXTEAMS Proportionality: Unit Rates

Mathematics Standards in the Classroom, p. 37 - 38, 76 - 78

Kamico TAKS Connection Developmental Series Book 1,”Divide and GeneRATE!”, p. 225 – 237

Glencoe 7, p. 321 - 324

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Topic Resources
Using Proportions to Make Predictions
TEKS
7.3B
estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
Kamico TAKS Connections Developmental Series, Book 1, "Planetary Proportions", p. 172 - 179

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Topic Resources
Percents Using Area Models
TEKS
6.3B represent ratios and percents with concrete models, fractions, and decimals
*TEXTEAMS Numerical Reasoning: Does One - and - One Make Two?, Activity 1

Math and the Mind's Eye: Modeling Percents and Ratios - Unit VII, Activity 1

Lane County 7, p. 113 - 128

Glencoe 7, p. 158 - 159

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Topic Resources
Percents Using Benchmarks
TEKS
7.1A
compare and order integers and positive rational numbers
7.1B
convert between fractions, decimals, whole numbers and percents mentally, on paper, or with a calculator
*TEXTEAMS Numerical Reasoning: Percent Benchmarks

*TEXTEAMS Numerical Reasoning: Order on Line

Mathematics Standards in the Classroom, p. 25 - 26

Lane County 7, p. 129 - 134

Glencoe 7, p. 70 - 73, 161 - 164, 336 - 345

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Topic Resources
Percent Applications Using Models
  • Include discount, sales tax and other real world applications
  • Make connections to the 1% and 10% methods
TEKS
7.3A estimate and find solutions to application problems involving percent
7.3B
estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.5A
use concrete and pictorial models to solve equations and use symbols to record the actions
7.1B
convert between fractions, decimals, whole numbers and percents mentally, on paper, or with a calculator
7.2D
use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio
7.2F
select and use appropriate operations to solve problems and justify the selections
7.2G
determine the reasonableness of a solution to a problem
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.2B
use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals
7.13A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
7.13D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 
*TEXTEAMS Numerical Reasoning: Shopping Spree

*TEXTEAMS Numerical Reasoning: Tax-n-Tip

Mathematics Standards in the Classroom, p. 32 - 34, 74 - 76

 

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Topic Resources
Relationships Between Fractions, Decimals and Percents
TEKS
7.1B
convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator
Kamico TAKS Connection Developmental Series Book 1, "Triple Match", p. 21-35

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Topic Resources
Percent Applications
  • % of a number using proportions and also multiplication by a decimal
TEKS
7.3A
estimate and find solutions to application problems involving percent
7.2F select and use appropriate operations to solve problems and justify the selections
7.2G determine the reasonableness of a solution to a problem
7.4B graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
Lane County 7, p. 147 - 159

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Topic Resources
Proportionality with Measurement
  • Provide students opportunities to measure with a ruler (customary & metric)
  • Convert within customary & metric systems
TEKS
7.3B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units
7.2A
represent multiplication and division situations involving fractions and decimals with concrete models, pictures, words, and numbers
7.2D
use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio
7.2F
select and use appropriate operations to solve problems and justify the selections
7.2G
determine the reasonableness of a solution to a problem
7.4A
generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
7.4B
graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling
7.9A
estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes
7.13A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
7.13D
select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
7.14A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
7.14B
evaluate the effectiveness of different representations to communicate ideas
7.15A
make conjectures from patterns or sets of examples and non-examples
7.15B
validate conclusions using mathematical properties and relationships
*TEXTEAMS Proportionality: Lost and Gained

Yao, That's Tall! (opportunity to have students measure with rulers)

Kamico TAAS Connection Developmental Series (Green Book), "Go the Distance", p.274-276 (opportunity to have students measure with rulers)

Kamico TAKS Connection Developmental Series
Book 1, “Contagious Estimatious”, p. 180 – 192

SBISD Math Frameworks 7/8, p. G-5, See Supplement B, C (opportunity to have students measure with rulers)

Glencoe 7, p. 74 - 76, 289 - 291

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Topic Resources
Patterns
  • Introduce vocabulary:  Position in a Sequence and Value of Term
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   Sequence Card Match I - Table / Words / Symbols

Sequence Card Match II - Table / Words / Symbols

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Topic Resources
Multiple Representations
  • Including verbal (contextualized), symbolic, graphical and tabular
TEKS
7.4A generate formulas involving conversions, perimeter, area, circumference, volume, and scaling
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
Investigating Relationships Through Tables and Graphs

Coordinate This!

Match the Math

Equation Match

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