West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
6.1 The student represents and uses rational numbers in a variety of equivalent forms.
6.9 The student uses experimental and theoretical probability to make predictions.
6.10 The student uses statistical representations to analyze data.
6.11 The student applies Grade 6 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school.
6.12 The student communicates about Grade 6 mathematics through informal and mathematical language, representations and models.
6.13The student uses logical reasoning to make conjectures and verify conclusions.
Possible Resources
TEKS
Instructional Scope
WEEK 1
March 5 th – March 9 th
Assessment
6.9A
Construct sample spaces using lists and tree diagrams.
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
Evaluate the effectiveness of different representations to communicate ideas.
.
Construct sample spaces.
Use lists to construct a sample space.
Use tree diagrams to construct a sample space.
Include real-world contexts.
Include selected response items.
Include NOT statements.
Sample question: Which of the following does NOT represent a possible sample space for the given experiment?
Justify selection of sample space.
Instruction
(District Resources)
TAKS Mathematics
Preparation Grade 6
(Region 4) “ Combinations
Lesson.”
Rethinking Middle School
Mathematics:
Proportionality Across the
TEKS (TEXTEAMS ), “What
Did You Expect?” Activity 1.
Tree Diagrams and the
Counting Principle
Lesson 10-1
Prentice Hall Course 1
Textbook Pg. 476-481
Practice Worksheet 10-1
Reteaching Worksheet 10-1
Enrichment Worksheet 10-1
TAKS Mathematics
Preparation Grade 6
(Region 4) “Objective 5
Selected Response
Questions,” 5. www.mathbenchmarks.org
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
TEKS
6.1B
Generate equivalent forms of rational numbers including whole numbers, fractions, and decimals.
6.9B
Find the probabilities of a simple event and its complement and describe the relationship between the two.
6.11A
Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.
6.12A
Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.
Instructional Scope
WEEK 2
March 19 th – March 23
Explore the probability of simple events.
Find the probability of a simple event.
Find the complement of the simple event.
Describe the relationship between the two.
Express the probabilities as fractions, decimals, and percents. Emphasize the part
relationship. whole
Include real-world contexts.
Include selected response items.
Include NOT statements.
Justify solutions.
Possible Resources
Instruction
Probability
Lesson 10-2
Prentice Hall Course 1 Textbook Pg. 482-487
Practice Worksheet 10-2
Reteaching Worksheet 10-2
Enrichment Worksheet 10-2
Experimental Probability
Lesson 10-3
Prentice Hall Course 1 Textbook Pg. 488-491
Practice Worksheet 10-3
Reteaching Worksheet 10-3
Enrichment Worksheet 10-3
Assessment
Prentice Hall:
Lesson Quiz
Checkpoint Quiz 1
TAKS Mathematics
Preparation Grade 6
(Region 4) “Objective 5
Selected Response
Questions,” 6. www.mathbenchmarks
.org
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
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
6.10B
Identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data.
Present and display data with and without technology.
Collect and organize data. o Display data in a variety of ways (lists, tables, etc.). o Use real-world data.
Identify statistical measures of a set of data.
Identify the mean of a set of data, including real-world data, using concrete and pictorial models.
Example: Find the mean of 2, 5, 2, 1, and
5.
Describe mean as a way of “evening out” data.
Use stacking cubes to represent the numbers.
Instructional Scope
WEEK 3 & WEEK 4
March 26 th – April 6 th
2 5 2 1 5
Possible Resources
Instruction
(District Resources)
Finding the Mean
Lesson 2-1
Prentice Hall Course 1 Textbook Pg.
61-65
Practice 2-1
Reteaching Worksheet 2-1
Enrichment Worksheet 2-1
Median and Mode
Lesson 2-2
Prentice Hall Course 1 Textbook Pg.
66-69
Practice 2-2
Reteaching Worksheet 2-2
Enrichment Worksheet 2-2
Frequency Tables and Line Plots
Lesson 2-3
Prentice Hall Course 1 Textbook Pg.
70-73
Practice 2-3
Reteaching Worksheet 2-3
Enrichment Worksheet 2-3
Assessment
Prentice Hall:
Lesson Quiz
TAKS Mathematics
Preparation Grade 6
(Region 4) “Objective
5 Selected Response
Questions,” 1, 4. www.mathbenchmar
ks.org
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
TEKS
6.10D
Solve problems by collecting, organizing, displaying, and interpreting data.
6.11A
Identify and apply mathematics to everyday experience, to activities in and outside of school, with other disciplines, and with other mathematical topics.
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
Instructional Scope Possible Resources
WEEK 3 & WEEK 4
March 26 th – April 6 th
Instruction
(District Resources)
Rearrange the cubes to “even out” the stacks to represent the mean of the set of data.
When “evened out”, each stack has 3 cubes, so the mean of 2, 5, 2, 1, and 5 is
3.
Identify the median, mode, and range of a set of data.
Present data in a variety of ways (tables,
Bar Graphs and Line Graphs
Lesson 2-4
Prentice Hall Course 1 Textbook Pg.
74-77
Practice 2-4
Reteaching Worksheet 2-4
Enrichment Worksheet 2-4 lists, graphs, etc.).
Include real-world contexts.
Include selected response items.
Include NOT statements.
Evaluate reasonableness of solutions and validate conclusions.
Select an appropriate representation for presenting and displaying different graphical representations of the same data.
Use an appropriate representation for presenting and displaying different
Making Predictions from Data
Lesson 10-4
Prentice Hall Course 1 Textbook Pg.
494-496
Practice Worksheet 10-4
Reteaching Worksheet 10-4 graphical representation of the same data.
Include the following types of graphs (use graph paper, spreadsheets, and/or a graphing calculator).
Enrichment Worksheet 10-4 o Line plots
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
Assessment
Prentice Hall:
Lesson Quiz
Checkpoint Quiz 2
TEKS
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.
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
Instructional Scope
WEEK 3 & WEEK 4
March 26 th – April 6 th
Possible Resources
Instruction
(District Resources)
Assessment
Number of Pets Students Own
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0 1 2 3 4 o Bar graphs
Monthly T-Shirt Sales
10
5
0
25
20
15
Jan Feb Mar Apr May Jun
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
TEKS
90
85
80
75
70
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
Instructional Scope
WEEK 3 & WEEK 4
March 26 th – April 6 th o Line graphs
Possible Resources
Instruction
(District Resources)
Assessment
Math Class Average -
Spring Semester o Stem-and-leaf plots
Example: Speeds of cars passing a police check point: 35, 30, 32, 45, 30,
28, 42, 25, 33, 35
Car Speeds (miles per hour)
2 5 8
3 0 0 2 3 5 5
4 2 5
Analyze given or collected data, and make inferences and convincing arguments.
Include selected response items.
Include NOT statements.Justify selection and evaluate the effectiveness of different representations to communicate ideas.
Key
3 5 means 35 miles per hour
Possible conclusions:
Range of data is 25 – 45.
-
Most cars’ speeds were between 30 and 35 miles per hour.
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics
West Orange-Stark Middle School
Grade 6 Mathematics
5 th Six Weeks Scope and Sequence
TEKS
6.10C
Sketch circle graphs to display data.
6.11A
Identify and apply mathematics to everyday experience, to activities in and outside of school, with other disciplines, and with other mathematical topics.
6.12A
Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.
Instructional Scope
WEEK 5 & WEEK 6
April 9 th – April 18 th
Sketch circle graphs to display data.
Relate percentages or fractional parts to the size of a section on a circle graph.
Sketch a circle graph to represent given or collected real-world data.
Analyze given circle graphs and match to realworld data.
Include selected response items.
Include NOT statements.
Justify selection and evaluate the effectiveness of different representations to communicate ideas.
TEST SHOULD BE GIVEN NO LATER THAN
4-18-12
April 19 th – April 20 th are open dates to review for STAAR test.
April 23 rd begin 6 th Six Weeks but should be used as a review day as well.
Possible Resources
Instruction
(District Resources)
Assessment
TAKS Mathematics
Preparation Grade 6 (Region
4) “Circle Graph Lesson.”
Rethinking Middle School
Mathematics: Numerical
Reasoning Across the TEKS
(TEXTEAMS ),
“And Around We Go!”
TAKS Mathematics
Preparation Grade 6
(Region 4) “Objective 5
Selected Response
Questions,” 3. www.mathbenchmarks.
org
5
West Orange-Stark Middle School
Scope and Sequence, Grade 6 Mathematics