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Mathematics

Mathematics

updated January 2015

 

TITLE:             7th Grade Pre-Algebra 
PREREQUISITES:  Requirements for 7th Grade           
DESCRIPTION:  In 7th grade mathematics, we spend time studying and applying the strands of mathematics and algebra, preparing students for Basic or regular Algebra classes in 8th grade.
OUTCOMES:  Students will learn the following outcomes:
1.         Estimation: This is integrated into the other parts of the curriculum.
2.         Percentage and Ratio: We explore ratios, unit rates, proportional reasoning, etc.  We use ratios to prove similar polygons in geometry.
3.         Number Sense: We explore ways to represent numbers, relationships between numbers, and meanings of operations.
4.         Whole Numbers and Fractions: We apply the four operations of math to whole numbers and fractions.  We integrate these into solving algebraic equations, finding perimeters and areas, etc.
5.         Chance and Data: We learn to collect, organize, and display, and analyze data.  We study basic theoretical and experimental probability.
6.         Measurement: We study measureable attributes of objects and the units, systems, and processes of measurement. 
7.         Algebra: We work regularly with order of operations.  We learn to substitute for the variable and to solve equations.  We learn to solve for a variable in one step and two step and longer equations and inequalities.
8.         Geometry:  We analyze characteristics and properties of two- and three-dimensional geometric shapes.  We use visualization, spatial reasoning, and geometric modeling to solve problems.
ORGANIZATION:    Year Long. 

 TITLE:             Basic Algebra 
PREREQUISITES:  Students in Grades 8 - 12 
DESCRIPTION:  This course emphasizes the “why” of algebra, the theory and underlying structure.  It teaches methods and the reasons behind the methods.  It shows how mathematical skills can be applied to realistic problem solving situations.  This course goes slower and not as deep as Algebra I.
OUTCOMES:  Students will develop:
1.         The knowledge and understanding of mathematical ideas, concepts, and procedures.
2.         The ability to solve problems within mathematics and other subject areas.
3.         The ability to reason and think critically.
ORGANIZATION:      Year long

*** STUDENTS WISHING TO TAKE ALGEBRA II MUST SUCCESSFULLY COMLETE THE REGULAR ALGEBRA I COURSE. ***

TITLE:             Algebra I 
PREREQUISITES:  Students in Grades 8 - 12 
DESCRIPTION:  This course emphasizes the “why” of algebra, the theory and underlying structure.  It teaches methods and the reasons behind the methods.  It shows how mathematical skills can be applied to realistic problem solving situations.
OUTCOMES:  Students will develop:
1.         The knowledge and understanding of mathematical ideas, concepts, and procedures.
2.         The ability to solve problems within mathematics and other subject areas.
3.         The ability to reason and think critically.
ORGANIZATION:      Year long

 

TITLE:             Algebra II 
PREREQUISITES:  Algebra I and Students in Grades 9 – 12, grade of C or better in Algebra I, or teacher approval.
DESCRIPTION:  A strong foundation in Algebra I is essential!  Topics included in the course are; Linear functions, quadratic equations, factoring, solving, and graphing equations, trigonometric functions, and real life problem solving.
OUTCOMES:
1.         Students will review and extend key Algebra I concepts and skills.
2.         Students will become proficient at solving and graphing both linear and quadratic equations and basic techniques for solving word problems.
3.         Students will extend work with rational and radical expressions an equations, and be introduced to complex numbers.
4.         Students will solve systems of two and three equations.
5.         Students will be introduced to exponential, logarithmic, and trigonometric functions.
6.         Students will study probability and statistics.
ORGANIZATION:      Year long

 TITLE:            Algebra III/Trigonometry
PREREQUISITES:  Algebra I, Algebra II, and Geometry with grades of C or better.
DESCRIPTION:  The first semester will focus on the Algebra III concepts.  The main focus will be on conic sections (graphs, equations, and application), polynomials and polynomial equations with their application, exponential and logarithmic functions with their real world use, and probability and statistics.
The second semester will focus on trigonometry with the emphasis on using trigonometric functions and their application to real life.
OUTCOMES:
Students will

  1. Understand how to graph conic sections and identify them by their equations.
  2. Use polynomial equations with their roots in graphing and solving real-world problems.
  3. Use exponential and logarithmic functions in solving and graphing real-world problems
  4. Use and understand how statistics and probability are used in life.
  5. Be able to read and graph trigonometric functions and their inverses.
  6. Use and verify trigonometric identities.
  7. Solve trigonometric equations.
  8. Use the law of sine and cosine.
  9. Work with complex numbers in trigonometric form.

ORGANIZATION:  Year long

 

TITLE:             College Algebra 
PREREQUISITES:  Algebra I, Algebra II, Geometry, and Students in Grades 11 or 12, grade of C or better in Algebra I, II and Geometry, or teacher approval.  Students must have a 
non-weighted cumulative GPA of 3.0 in order to receive college credit.
DESCRIPTION:  This course will complete the math sequence designed to prepare students for calculus.
OUTCOMES:
Upon completion of this course, the students should be able to:
1.         Perform algebra skills at an increased level of difficulty
2.         Solve and graph equations and inequalities
3.         Use functions, find the composition of functions and the inverse of a function
4.         Solve and graph exponential and logarithmic equations 
5.         Utilize graphing calculators to solve mathematical problems
6.         Solve and graph trigonometric equations and use trig laws and identities
7.         Develop the ability to reason and think critically
8.         Other topics include matrices, analytic geometry, statistics and probability, etc.
ORGANIZATION:      Year long 
COURSE OPTION:  College credits (3 credits at the University of MN – Crookston)

TITLE:             Geometry 
PREREQUISITES:  Algebra I and students in grades 9 - 12, grade of C or better in Algebra I or teacher approval.
DESCRIPTION:  This course emphasizes mathematical reasoning and logical thinking.  Topics included are parallelism, logic, work with triangles, quadrilaterals, and other two-dimensional figures, similarity, coordinate geometry, area and volumes, and real-life problem solving.
OUTCOMES:  
Students will develop:
1.         The knowledge and understanding of mathematical/ geometric ideas, concepts, and procedures.
2.         The ability to solve problems within mathematics and other subject areas.
3.         A strong ability to reason and think critically demonstrated especially through geometric proof.
4.         The ability to use mathematical tools and techniques.
ORGANIZATION:      Year long

 

TITLE:             Basic Geometry 
PREREQUISITES:  Algebra I and students in grades 9 – 12
DESCRIPTION:  This course emphasizes mathematical reasoning and logical thinking.  Topics included are parallelism, logic, work with triangles, quadrilaterals, and other two-dimensional figures, similarity, coordinate geometry, area and volumes, and real-life problem solving.  
**This course moves slower than the regular geometry course, and does not go into as much depth.
OUTCOMES:  
Students will develop:
1.         The knowledge and understanding of mathematical/ geometric ideas, concepts, and procedures.
2.         The ability to solve problems within mathematics and other subject areas.
3.         A strong ability to reason and think critically. 
4.         The ability to use mathematical tools and techniques.

 

***  STUDENTS WISHING TO TAKE COLLEGE ALGEBRA MUST SUCCESSFULLY COMPLETE THE REGULAR GEOMETRY COURSE. ***

TITLE:                   Standards Math

PREREQUISITES:    Basic Algebra or Algebra I

DESCRIPTION:       This course is designed to prepare juniors and seniors for the MCA (Minnesota Comprehensive Assessment) exam.  Topics included are:  solving equations, polynomials, exponents, linear equations, ratio & proportion, solving systems of equations, data analysis & probability

OUTCOMES: Students will develop:

1.       The knowledge and understanding of mathematical ideas, concepts and    procedures

2.       The ability to use mathematical tools and techniques

3.       The ability to solve problems within math and other subject areas

4.       The ability to reason and think critically

 

ORGANIZATION:    Year long

 

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