Grade 6 - 4th Nine Weeks

Grade Six:  2004 - 2005

Home
Grade 6 - 1st Nine Weeks
Grade 6 - 2nd Nine Weeks
Grade 6 - 3rd Nine Weeks
Grade 6 - 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 / Algebraic Reasoning

TAKS 2, 5, 6

back to top

 

Overview:  The focus of the 4th nine weeks is to analyze data, find simple probability, and use algebraic reasoning.

Topics (in order): 

Underlying processes: Use the district problem-solving model (6.11B) emphasizing make a table, look for a pattern, and use multiple strategies (6.11C); Communicate mathematical ideas using language, appropriate units and physical models (6.12A); Use mental math estimation and number sense to solve problems (6.11D) and check solutions for reasonableness (6.11B). Mathematical applications and connections are made to every day experiences.

Vocabulary (by topic):

Data Representation & Analysis Probability Sequences
Bar Graph
Circle Graph
Frequency Table
Line Graph
Line Plot
Mean
Median
Mode
Range
Stem and Leaf Plot
Venn Diagram
Compound Event
Experimental Probability
Fair
Unfair
Sample Space
Simple Event
Theoretical Probability
Tree Diagram
Equation
Function
Function Table
Numerical Expression
Variable
Variable Expression

.


.

Topic Resources
Data Representation and Analysis
  • Use frequency table to help prepare students to find the scale and interval for constructing their own graphs
  • Include mean
  • Include line plot and stem and leaf plot
TEAKS
6.10A select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot
6.10B identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data
6.10D
solve problems by collecting, organizing, displaying, and interpreting data
Prentice Hall, Sections 1-1, 1-2, 1-3

Math and the Mind's Eye - Visualizing Number Concepts, Unit II, Activity 4

Kamico TAKS Connection Developmental Series      Book 1, “Statistics Olympics”, p. 147 – 150

Prentice Hall, Sections 1-5, 1-6

Kamico TAKS Connection Developmental Series Book 2, “It Looks Different, but It’s the Same”, p. 133 – 150

Kamico TAKS Connection Developmental Series Book 2, “Deep into Data”, p. 162 – 169

Mathematics Standards in the Classroom, p. 194-196

Prentice Hall, Section 1-7

District resources will be added as they are available

back to topics


.

Topic Resources
Circle Graphs
TEKS
6.10A select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot
6.10C
sketch circle graphs to display data
6.10D
solve problems by collecting, organizing, displaying, and interpreting data
Drink Survey Project

Kamico TAAS Connection Developmental Series, p. 245 - 254

Mathematics Standards in the Classroom, p. 191-194

Prentice Hall, Section 7-10

back to topics


.

Topic Resources
Probability
TEKS
6.9A
construct sample spaces using lists, tree diagrams
6.9B find the probabilities of a simple event and its complement and describe the relationship between the two
6.10D solve problems by collecting, organizing, displaying, and interpreting data
6.3A use ratios to describe proportional situations
6.3B
represent ratios and percents with concrete models, fractions, and decimals
6.3C use ratios to make predictions in proportional situations
6.1A compare and order non-negative rational numbers
6.1B generate equivalent forms of rational numbers including whole numbers, fractions, and decimals
6.11A identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
6.12B evaluate the effectiveness of different representations to communicate ideas
6.13A make conjectures from patterns for sets of examples and non-examples
6.13B validate his/her conclusions using mathematical properties and relationships 
Prentice Hall, Section 11-5

Visual Math Volume II - Lesson 104, 105

  • Have students actually DO the activities cited

Middle Grades Mathematics Project, Probability:  p. 17, "Blocks and Marbles"

  • Consider Activities 2 and 3, Fair and Unfair Games and Dice Games

*TEXTEAMS Proportionality: What Did You Expect?, Activity 1

  • Do this after students have had several opportunities to run experiments, collect data and write simple probabilities.

Mathematics Standards in the Classroom, p. 65-66

Prentice Hall, Section 11-1

Prentice Hall, Section 11- 4

  • use p. 497 after this section for the complement

Kamico TAKS Connection Developmental Series Book 2, Let Me Count the Ways”, p. 114 – 119

back to topics


.

Topic Resources
Sequences
  • Using variables
TEKS
6.4A use tables and symbols to represent and describe proportional and other relationships involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area
6.5 formulate equations from problem situations described by linear relationships
6.7 locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models

Kamico TAKS Connection Developmental Series Book 1, “The Wizard of Math”, p. 216 – 222

Sequence Card Match

back to topics


.

Topic Resources
Formulate an Equation from a Problem Situation
TEKS
6.5 formulate equations from problem situations described by linear relationships
Equation Match

back to topics


.

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)

.

.

Topic Resources
Proportionality Through Probability
TEKS
6.3A use ratios to describe proportional situations
6.3B represent ratios and percents with concrete models, fractions, and decimals
6.3C use ratios to make predictions in proportional situations
6.9A construct sample spaces using lists, tree diagrams, and combinations
6.9B find the probabilities of a simple event and its complement and describe the relationship between the two
6.1A compare and order non-negative rational numbers
6.1B generate equivalent forms of rational numbers including whole numbers, fractions, and decimals
6.10D solve problems by collecting, organizing, displaying, and interpreting data
6.11A identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
6.11B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness
6.11C 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, or working backwards to solve a problem
6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
6.12B evaluate the effectiveness of different representations to communicate ideas
6.13A make conjectures from patterns for sets of examples and non-examples
6.13B validate his/her conclusions using mathematical properties and relationships 
*TEXTEAMS Proportionality: What's in the Bag?

back to topics


.

Topic Resources
Algebraic Reasoning
TEKS
6.13A make conjectures from patterns for sets of examples and non-examples
6.13B validate his/her conclusions using mathematical properties and relationships 
6.4A use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area
6.7 locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers
6.8B select and use appropriate units, tools, or formulas to measure and solve problems involving length (including perimeter), area, time, temperature, volume, and weight
6.10D solve problems by collecting, organizing, displaying, and interpreting data
6.12A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
6.13A make conjectures from patterns for sets of examples and non-examples
TEXTEAMS Algebraic Reasoning: Movin' On Down the Line, modified version

back to topics

..