Shelby High School

Math

Math Lab


Grade Level:              9-12
Prerequisite(s):          Recommendation of teacher or counselor
Length                         Year
Credit                          0

Content:
Math Lab is a structured math study hall.  It is for students that could use extra time and help with the lessons being taught in their regular math classes.

Expectations:
Come prepared to class every day.
Follow oral and written instructions.
Complete all assigned homework and practice assignments from their math classes
Interpret and draw conclusions.
Work independently or in small groups
Be on task during work time.

Skills Taught:
Concepts that pertain to math courses (pre-algebra, algebra 1, geometry, algebra 2, pre-calculus) the student is taking.

Method of presentation:
Individualized instruction
Independent or small group work.
Exploration and discovery.
Student demonstrations.

Activities Include:
Modeling problem situations.

Exploring with various hands-on opportunities.



Pre-Algebra

Grade Level:              9-12
Prerequisite(s):          Recommendation of teacher or counselor
Length                         Year
Credit                          1.00
Requirement Fulfilled       Mathematics

Content:
Pre-Algebra is the study of relationships between numbers.  The topics included are fractions, decimals, geometry, word problems, prime and composite  numbers, exponents, multiples, factors, average, order of operations, graphs, scientific notation, percents, ratios, proportions, rates, and number systems.

Expectations:
Come prepared to class every day.
Follow oral and written instructions.
Complete all homework and practice assignments within a specific time.
Interpret and draw conclusions.
Work independently or in small groups
Participate during class discussions.
Be on task during work time.

Skills Taught:
Thinking—reasoning, analysis, interpreting, recall and transfer, applying concepts classification, spatial perception, synthesis.
Communication—reading, listening, verbalizing, writing.
Problem solving—look for patterns, use a table or chart, draw a diagram, generalize from specific examples, apply a formula, solve a simpler, related problem, use trial and error and the process of elimination, reason backward, made a deductive argument, recognize the possibility of no solution.

Method of presentation:
Primarily lecture/discussion
Independent or small group work.
Exploration and discovery.
Student demonstrations.

Activities Include:
Modeling problem situations.

Exploring with various hands-on opportunities.

Algebra 1

Grade Level:              9-12
Prerequisite(s)            Recommendation of teacher or counselor
Length                         Year
Credit                          1.00
Requirement Fulfilled       Mathematics

Content:                                
Algebra I is the study of the relationships between sets of numbers.  The emphasis is on solving and graphing linear and quadratic functions. Radicals, exponents, number sets, polynomials, factoring, and solving systems of equations are studied in depth.

Expectations:                        
Come prepared to class every day.
Follow oral and written instructions.
Complete all homework and practice assignments within specific time.
Interpret and draw conclusions.
Work independently or in small groups.
Participate during class discussions.
Be on task during work time.

Skills Taught:           
Thinking--reasoning, analysis, interpreting, recall and transfer, applying concepts classification, spatial perception, synthesis.
Communication –reading, listening, verbalizing, writing.
Problem  solving—look for patterns, use a table or chart, draw a diagram, generalize
from specific examples, apply a formula, solve a simpler, related problem, use trial and
error and the  process of elimination, reason backward, make a deductive argument,
recognize the possibility of no solution.

Methods of presentation:
Primarily lecture/discussion.
Independent or small group work.
Exploration and discovery.
Student demonstrations.

Activities Include:
Modeling  problem situations.
Exploring with algeblocks.
Graphing on graphing calculators.


Geometry

Grade Level:              9-12
Prerequisite(s)            Algebra I
Length                         Year
Credit                          1.00
Requirement Fulfilled       Mathematics

Content: 
Geometry is a study of Euclidean geometry from a deductive approach. In the course we    
will study points, lines, planes, angles, polygons, circles, perimeter, area, volume,                proofs in various forms, constructions, transformations on the computer, and, if time permits, coordinate geometry, trigonometry, and loci.

Expectations:                        
Come prepared to class everyday.
Follow oral and written instructions.
Complete all homework and project assignments within specific time.
Interpret and draw conclusions.
Work independently or in small groups.
Participate during class discussions.

Skills Taught:           
Thinking--reasoning, analysis, interpreting, recall and transfer, applying concepts, classification, spatial perception, synthesis
Communication –reading, listening, verbalizing, writing
Problem solving—look for patterns, use a table or chart, draw a diagram, generalize
from specific examples, apply a formula, solve a simpler, related problem, use trial and
error and the  process of elimination, reason backward, make a deductive argument,
recognize the possibility of no solution, construct a counterexample

Methods of presentation:
Primarily lecture/discussion
Independent or small group work
Exploration and discovery
Student demonstrations

Activities Include:
Sketching, drawing, and constructing figures
Modeling figures
Construction project

Explore transformations on the geometer’s sketchpad

Algebra 2

Grade Level:              10 - 12
Prerequisite(s)            Successful completion of Algebra 1 and Geometry
Length                         Year
Credit                          1.00
Requirement Fulfilled       Math

Content:                                
Algebra II is a college prep course designed to prepare the student for many different
types of college mathematics.  It uses algebra I skills to expand on the fundamentals of
algebra.

Expectations:                        
Come prepared to class everyday.
Follow oral and written instructions.
Complete all homework assignments within specific time.
Solve problems
Work independently or in small groups.
Participate during class discussions.

Skills Taught:
Review basic algebra skills
Understanding and applications of logs, exponents, functions, radicals,
discrete mathematics, conic sections, and intro to trig.
Apply problem solving to problems not formally taught and apply those
to real world problems.          

Methods of presentation:
Class will include lecture, problem practice time, small group time and
homework.

Activities Include:
Graphing calculator activities and models of real world problems.
Thought provoking puzzles and problems to be researched and solved.

Pre-Calculus

Grade Level:              11,12
Prerequisite(s)            Successful completion of algebra II
Length                         Year
Credit                          1.00
Requirement Fulfilled       Math

Content:                                
Pre-calculus is a college prep course designed to prepare the student for many different
types of college mathematics especially in the areas of engineering and business.
It is designed to prepare the student for calculus
It uses the fundamentals of algebra to expand functions and trig.

Expectations:                        
Come prepared to class everyday.
Follow oral and written instructions.
Complete all homework assignments within specific time.
Solve problems
Work independently or in small groups.
Participate during class discussions.

Skills Taught:
Review algebra skills and basic skills of functions.
Understanding and applications of logs, exponents, functions, radicals
discrete mathematics, conic sections, and trigonometry.  The first half is
generally the study of functions and the second half trig and conic sections.
Apply problem solving to problems not formally taught and apply those
to real world problems.          

Methods of presentation:
Class will include lecture, problem practice time, small group time and
homework.

Activities Include:
Graphing calculator activities and models of real world problems.
Thought provoking puzzles and problems to be researched and solved.

Use of resources that develop and solve problems.

A. P. Calculus

Grade Level:              12
Prerequisite(s)            Successful completion of Algebra 2
Length                         Year
Credit                          1.00
Requirement Fulfilled       Math

Content:                                
Calculus is a college course designed to introduce the student to the fundamentals of
differential and integral calculus.  The AP exam is offered to those wishing to take it.

Expectations:                        
Come prepared to class everyday.
Follow oral and written instructions.
Complete all homework assignments within specific time.
Solve problems
Work independently or in small groups.
Participate during class discussions.
Do real world math based projects

Skills Taught:
Students will review the basics of functions and trig from  pre-calculus.  They will
then master the subjects of integral and differential calculus to prepare for the AP
exam.  The last month the students will apply the skills they have learned in
pre-calculus and calculus to projects picked by the teacher and students.

Methods of presentation:
Class will include lecture, problem practice time, small group time and
homework.

Activities Include:
Mastering the graphing calculator through investigation.
AP Test preparation using the old tests.
End of year problem solving projects to apply calculus.