Southern Tioga School District

Administration Office 241 Main Street, Blossburg, Pa 16912

Phone: (570) 638-2183 or (570) 659-5521 Fax: (570) 638-3512

 

SOUTHERN TIOGA SCHOOL DISTRICT

VERTICAL MAP

Subject:    Standards Math                          Building:  District                   Today’s Date:  10-25-07

 

LIST MAJOR CONTENT, SKILLS, AND ASSESSMENTS

 

Grade level

Standard

Content

Instructional Method

Skills

Resources

Prentice Hall Middle Grades Math Course

Assessment

7th

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7th

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Numbers and Operations

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Measurement and Geometry

Estimation and Problem Solving

 

 

Fractions, decimals and percents

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Rates, ratios and proportions

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2-dimensional figures

 

 

 

 

 

 

 

 

3-dimensional figures

Formulas

 

 

 

 

 

 

 

 

Real World Problems

 

Scale Drawings

 

Units of Measurement

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

 

 

 

 

 

 

 

 

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

 

 

 

 

 

 

 

 

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

  • How do we choose an appropriate strategy to solve a problem?
  • When is it appropriate to estimate?

 

 

  • How can we find percent increase or percent decrease?
  • How do we add or subtract fractions?
  • How do we calculate the percent of a number and use your calculations to interpret histograms and circle graphs?
  • How do we calculate what the percent one number is of another?
  • How do we compare and/or order numbers in different forms?

 

  • How do we convert from one form to another (fraction, decimal, percent)?

 

  • How do we find a number when a percent of it is known?

 

  • How do we multiply or divide fractions?

 

  • What are the important rules in adding and subtracting decimals?

 

  • What are the steps in multiplying and dividing decimals?

 

  • How are proportions used to solve problems?

 

  • How can we use a proportion to find a missing length in similar figures?

 

  • How do we calculate and/or apply a unit rate?

 

  • How do we solve for the unknown value in a proportion?
  • How is a ratio used to compare two quantities?

 

  • How do we describe angles?
  • How do you know if polygons are similar or congruent?
  • What are the characteristics of angles formed by two intersecting lines?
  • What are the parts of a circle and the relationship between them?
  • What makes angles congruent based on the construction of lines?
  • What makes two polygons congruent?
  • What makes two polygons similar?

 

  • What are the three different relationships of the edges of 3 dimensional figures?
  • How do we find circumference and area of circles?
  • How do we find perimeter and area of irregular figures?
  • How do we find perimeter and area of triangles, rectangles, parallelograms?
  • How do we find the volume of rectangular prisms?

 

 

 

 

  • How can you use geometric figures and their relationships to solve real world problems?

 

  • How are interpreting and applying scales useful for solving problems?

 

  • How do we add and subtract customary units?
  • How do we add and subtract metric units?
  • How do we convert form one unit of measure to another within a system?

 

Ch. 2 Sect. 2

 

Ch. 2 Sect. 2

 

 

 

 

 

 

Ch. 6 Sect. 11

 

 

Ch. 5  Sect. 2

 

Ch. 6 Sect. 9

Ch. 1 Sect. 1

Ch. 7 Sect. 8

 

 

Ch. 6 Sect. 10

 

 

Ch. 2 Sect. 1

Ch. 4 Sect. 3

 

 

 

 

Ch. 6 Sect. 6

Ch. 6 Sect. 7

 

 

 

 

Ch. 6 Sect. 10

 

 

 

 

Ch. 5 Sect. 5

Ch. 5 Sect. 6

 

 

 

Ch. 2 Sect. 3

 

 

 

 

 

Ch. 2 Sect. 5

Ch. 2 Sect. 6

Ch. 2 Sect. 7

 

 

 

Ch. 6 Sect. 3

Ch. 6 Sect. 2

Ch. 6 Sect. 10

 

 

Ch. 6 Sect. 4

 

 

 

 

Ch. 6 Sect. 2

 

 

 

Ch. 6 Sect. 3

 

 

 

Ch. 6 Sect.2

 

 

 

 

Ch. 7. Sect. 2

 

 

Ch. 6 Sect. 4

Ch. 7 Sect. 5

 

Ch. 7 Sect. 2

 

 

Ch. 7 Sect. 7

 

 

 

Ch. 7 Sect. 3

 

 

Ch. 7 Sect. 5

 

Ch. 6 Sect. 4

 

 

 

 

Ch. 8 Sect. 8

 

 

Ch. 8 Sect. 4

 

 

Ch. 8 Sect. 1

 

 

 

Ch. 8 Sect. 2

Ch. 8 Sect. 3

 

Ch. 8 Sect. 10

 

 

 

 

 

 

 

 

Ch. 8 Sect. 7

 

 

 

 

 

Ch. 6 Sect. 5

 

 

 

 

Supplementals

 

.

Supplementals

 

Ch. 5 Sect. 8

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

 

 

 

 

 

 

 

 

 

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

7th

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Algebraic Concepts

Expressions, Equations, Inequalities

 

 

 

 

 

 

Graphing Equations

 

 

 

 

 

 

 

 

Integers

 

 

 

 

Patterns & Problem Solving

 

 

 

 

 

 

 

 

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

 

 

 

 

 

 

 

 

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

  • How are expressions, equations, and inequalities used to model specific situations?

 

 

  • How are order of operations used to simplify and evaluate expressions?
  • What strategies can be used to solve equations?

 

 

  • How are ordered pairs plotted and identified on a coordinate plane?
  • How can a graph be used to represent data?

 

  • How is the slope of a line described as a rate?
  • What are the essential parts of a coordinate plane?
  • What is the relationship between data displayed on a rate of change graph?

 

  • How do we add and subtract integers?

 

  • How do we compare and order integers
  • How do we multiply and divide integers?

 

  • How do we identify and extend patterns?
  • How do we solve a problem involving a constant rate of change?
  • How is Algebra used to solve real world problems?

 

Ch. 3 Sect. 1

Ch. 3 Sect. 6

Ch. 3 Sect. 7

Ch. 3 Sect. 8

Ch. 3 Sect. 9

Math Toolbox Pg. 101

 

 

Ch. 2 Sect. 8

 

 

 

Ch.  3 Sect. 6

Ch. 3 Sect. 7

Ch. 3 Sect. 9

 

 

 

 

 

Ch. 11 Sect. 1

 

 

 

Ch. 1 Sect. 2

Ch. 1 Sect. 3

Ch. 1 Sect. 5

 

 

Ch. 11 Sect. 3

 

Ch. 11 Sect. 1

 

 

Supplementals

 

 

 

 

 

Ch. 3 Sect. 3

Ch. 3 Sect. 4

 

 

Ch. 3 Sect. 2

 

Ch. 3 Sect. 5

 

 

 

 

Ch. 4 Sect. 7

Ch. 7 Sect. 1

 

Supplementals

 

 

Ch. 3 Sect. 10

 

 

 

 

 

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

 

 

 

 

 

 

 

 

 

PSSA

 

4- Sight

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

7th

 

 

 

 

 

 

 

 

 

 

Data Analysis and Probability

Analysis

 

 

 

 

 

Applying percents to graphs

Experimental Probability

 

Measures of Central Tendency

 

Organizing and Displaying Data

 

Real World Applications

 

 

Theoretical Probability

 

 

 

 

 

 

 

 

 

 

 

 

Direct Instruction

 

 

Co-operative Learning Experiences

 

 

Self- Guided Practices

 

 

 

Computer Tutorial

 

 

Internet Resources

 

 

 

Project Research

 

 

 

Discovery Activity

 

 

 

Think-Pair-Share

 

 

Calculator Usage

 

 

  • How can we extract information from a graph?
  • How can you use a proportion to estimate a population based on a sample?

 

  • In what ways do you use data to answer problems and make predictions?
  • What makes a reliable data display?

 

  • How can you apply percentages to make and interpret histograms and circle graphs?
  • What is experimental probability?

 

  • How do we decide which central tendency best describes the data?
  • How do you calculate range, mean, median, and mode?

 

  • How can we best show the data?

 

 

 

  • How are probability and proportions used to predict future events?
  • How can a proportion be used to make a prediction relating to a population on the basis of a sample?
  • What is theoretical probability?

 

Ch. 1 Sect. 8

 

 

Ch. 9 Sect. 8

 

 

 

 

Ch. 1 Sect. 2

Ch. 9 Sect. 8

 

Supplemantals

 

 

 

 

Ch. 7 Sect. 8

Ch. 1 Sect. 1

 

Ch. 9 Sect. 1

 

 

 

 

Ch. 1 Sect. 4

 

 

Ch. 1 Sect. 4

Ch. 1 Sect. 5

 

 

 

 

Ch. 1 Sect. 1

Ch. 1 Sect. 2

Ch. 1 Sect. 3

Ch. 1 Sect. 5

 

 

Ch. 9 Sect. 2

 

 

Ch. 6 Sect. 1

 

 

 

 

Ch. 9 Sect. 3

 

 

 

 

 

 

 

PSSA

 

4- Sight

 

 

Classroom Discussion

 

Co-operative Learning Activity

 

Self and Peer Evaluations

 

Tests and Quizzes

 

Journal Entries

 

Notebook Quizzes

 

Graphing Projects

 

Homework Exercises

 

Guided Practice

 

Forced Response

 

Questions

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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