West Orange-Stark Middle School Grade 6 Mathematics 5th Six

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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

Curriculum Cluster 5

Probability and Statistics

Underlying Processes and Mathematical Tools

Curriculum-Based Assessment

5

West Orange-Stark Middle School

Scope and Sequence, Grade 6 Mathematics

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