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: Pre-Algebra                          Building: District                  Today’s Date: October 25, 2007

 

 

LIST MAJOR CONTENT, SKILLS, AND ASSESSMENTS

 

Grade level

Standard

Content

Instructional Method

Skills

Resources

PH Pre-Alg.

Assessment

 

 

8

 

 

 

 

 

 

 

 

Measurement and Geometry

Lines and Angles

Polygon Angle & Side Relationships

Relationships

Shapes and Polyhedra

Surface Area & Volume

Units of Measurement

 

Direct Instruction

 

Co-operative learning

Experiences

 

Self-guided practice

 

Computer Tutorial

 

Internet resources

Project research

Discovery activity

 

Think-pair share

 

Calculator usage

  • How are lines used as building blocks to other geometrical concepts?
  • What are the important angle relationships in mathematics?
  • How can indirect measurement strategies be used to solve problems?
  • How is the formula used to find the sum of the interior angles of a polygon or the degree of a single interior angle?
  • How is the Pythagorean Theorem used to find distances between points in the coordinate plane?
  • How is the Pythagorean Theorem used to find the missing side of a right triangle?
  • How is the sum of the interior angles of a polygon used to determine the number of sides of the polygon?
  • How are geometrical figures manipulated to create patterns and designs?
  • What are the differences between regular and irregular shapes?
  • What are the properties used to classify different polygons and polyhedra?
  • What are the similarities and differences of polygons and polyhedra?
  • How do we find the volume of 3-D objects?
  • How do we use nets to find the surface area of 3-D objects?
  • How are the appropriate units and type of measurement determined when solving problems?
  • How do we convert from one unit of measure to another within a system (two above or below the given unit)?
  • How is the temperature formula used to convert from Fahrenheit to Celsius and visa versa?
  • What are the strategies and conversion factors used to convert time (two above or below the given unit)?

 

 

Ch 9 sect 1,2

 

 

 

Ch 9 sect 2

 

 

 

 

 

Supplement

 

 

 

 

 

Ch 11 sect 2,3

 

 

 

 

Ch 11 sect 2,3

 

 

 

Ch 9 sect 3

 

 

 

Ch 9 sect 8,9,10

 

 

 

Ch 9 sect 3

 

 

Ch 9 sect 3

 

 

 

Ch 9 sect 3

 Ch 10 sect  4,5,6,7,8,9

 

 

Ch 9 sect 3

 

 

 

Ch 9 sect 3

Ch 10 sect 4,5

 

 

 

 

 

Ch 5 sect 5

Ch 6 sect 1

 

 

 

Ch 3 sect 4

 

 

 

Supplement

 

PSSA Test

 

4 SIGHT

 

Classroom discussion

 

Co-operative learning activity

 

Self and peer evaluations

 

Tests and quizzes

 

Notebook quizzes

 

Graphing projects

 

Homework exercises

 

Guided practice

 

Forced response questions

 

 

 

8

 

 

 

 

 

 

 

 

Algebraic Concepts

Algebraic Expressions

Equations and Inequalities

Functions and Patterns

 

Direct instruction

 

Co-operative learningexperiences

 

Self guided practice

 

Computer tutorial

 

Internet resources

 

Project research

 

Discovery activities

 

Think-pair share

 

Calculator usage

  •  
  • Does order of operations make a difference when simplifying an expression?
  • How are expressions and equations used to model and solve problem situations?
  • How are systems of linear equations used to represent, analyze, and solve problems?
  • How are tables used to graph linear equations?
  • How do we determine the slope/rate of change of a line?
  • How do we plot, locate, and identify ordered pairs on a coordinate plane?
  • How do we solve and check one and two-step equations & inequalities?
  • How does the slope and y-intercept of a line appear in different representations?
  • How do we find the rule and missing elements of algebraic patterns and functions?
  • How do we match an equation to a table?

 

 

 

 

 

Ch 1 sect 2

 

 

 

 

Ch 1 sect 2,3,4,5

 

 

Ch 8 sect 7

 

 

 

 

Ch 8 sect 1,2

 

 

Ch 8 sect 3

 

 

 

Ch 1 sect 10

 

 

Ch 2 sect 5,6,8,9,10

 

 

Ch.8 sect 4

 

 

 

Ch 1 sect 8

 

 

 

Ch 8 sect 4

PSSA Test

 

4 SIGHT

 

Classroom discussion

 

Co-operative

Learning activity

 

Self and peer evaluations

 

Tests and quizzes

 

Notebook entries

 

Graphing projects

 

Homework exercises

 

Guided projects

 

Forced response questons

 

 

 

 

 

8

 

 

 

 

 

 

 

Data Analysis and Probability

Analyzing Data and Graphs

Making Predictions and Inferences

Permutations and Combinations

Probability Of Events

Stem & leaf/ box & whisker plots

 

Direct Instruction

 

Co-operative learning

Experiences

 

Self-guided practice

 

Computer Tutorial

 

Internet resources

Project research

Discovery activity

 

Think-pair share

 

Calculator usage

  • How do we analyze graphs?
  • How do we best show data?
  • How do we interpret correlation between two variables using a scatterplot?
  • How do we interpret data?
  • How do we make predictions based on survey results or graphs?
  • How can probability be used to analyze predictions and make inferences?
  • Does order make a difference in determining permutations and combinations?
  • Does order make a difference in determining permutations and combinations?
  • How do we find the probability of a simple event?
  • How do digits in the stem and the leaf represent data?
  • What points are utilized to create a box-and-whisker plot?

 

 

Ch 12 sect 2,3

Ch 8 sect 5

 

 

 

Ch  8 sect 5

 

 

 

Ch 8 sect 6

 

 

Ch 12 sect 2,3

 

 

Ch 12

 

 

 

 

Ch 12

 

 

 

Ch 12

 

 

 

Ch 12 sect 4

 

 

 

Ch 12 sect 2

 

Ch 12 sect 2

PSSA Test

 

4 SIGHT

 

Classroom discussion

 

Co-operative

Learning activity

 

Self and peer evaluations

 

Tests and quizzes

 

Notebook entries

 

Graphing projects

 

Homework exercises

 

Guided projects

 

Forced response questons

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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