Mathematics

Pathway Pumas


 
   
 

Math 7

   

Math 7 builds on prior knowledge to prepare students for high school. Saxon Math uses spiraling techniques to better prepare students for high stakes testing. Saxon is in line with our Arizona state standards and the standards that lead to success on upper level assessments such as the ACT/SAT. Students will be exposed to blended learning, which combines traditional teaching methods with computer based teaching. The 7th grade math course curriculum emphasizes the application of pre-algebraic concepts to prepare for advanced high school math courses.

  Prerequisites:
None.


 
   
 

Math 7 Honors

   

Criteria for placement in Grade 7 Math Honors– Teacher recommendation, overall grade and performance on summative assessments.

Math 7 builds on prior knowledge to prepare students for high school. The Saxon Math curriculum is a teaching method for incremental learning of mathematics. It involves teaching a new mathematical concept every day and constantly reviewing old concepts through a spiraling technique to better prepare students for high stakes testing. Saxon is in line with our Arizona state standards and the standards that lead to success on upper level assessments such as the ACT/SAT. Math 7 students will use blended learning, which combines traditional teaching methods with computer based teaching. The 7th grade math course curriculum emphasizes the application of pre-algebraic concepts to prepare for advanced high school math courses.

In Math 7 Honors emphasis is placed on mathematical reasoning, non-routine problem solving, and algebraic connections among mathematical ideas. This course provides students the opportunity to acquire the concepts and skills necessary for success in Pre-Algebra and Algebra I.

  Prerequisites:
Math 6


 
   
 

Math 8 Pre-Algebra

   

Math 8 is a course designed as a bridge to Algebra and Geometry. It provides students with an introduction to the concepts of algebra and geometry, and at the same time solidifies their understanding of arithmetic concepts and procedures. Students will focus on reasoning, problem solving, communication, concept representation, and connections among mathematical ideas. This course provides students the opportunity to acquire the concepts and skills necessary for success in Algebra I or Algebra I Honors. The Saxon Math curriculum is a teaching method for incremental learning of mathematics. It involves teaching a new mathematical concept every day and constantly reviewing old concepts through a spiraling technique to better prepare students for high stakes testing. Saxon is in line with our Arizona state standards and the standards that lead to success on upper level assessments such as the ACT/SAT. Math 7 students will use blended learning, which combines traditional teaching methods with computer based teaching.

  Prerequisites:
Math 7


 
   
 

Math 8 Pre-Algebra Honors

   

Criteria for placement in Grade 8 Math Honors(Pre-Algebra)– Teacher recommendation, overall grade and performance on summative assessments.

Math 8 Pre-Algebra Honors goes beyond Math 8 with extended learning activities that require students to increase their use of critical thinking skills to include analysis, synthesis, and problem solving. The curriculum moves at an accelerated pace with a more concentrated focus. This course provides students the opportunity to acquire the concepts and skills necessary for success in Algebra I or Algebra I Honors. The Saxon Math curriculum is a teaching method for incremental learning of mathematics. It involves teaching a new mathematical concept every day and constantly reviewing old concepts through a spiraling technique to better prepare students for high stakes testing. Saxon is in line with our Arizona state standards and the standards that lead to success on upper level assessments such as the ACT/SAT.

  Prerequisites:
Math 7


 
   
 

Algebra I

   

This course is recommended for 9th grade.

Criteria for placement in Algebra 1 as a middle school student are based upon teacher recommendation, overall grade and performance on summative assessments.


This course extends students’ knowledge and understanding of the real number system and its properties through the study of variables, expressions, equations, and inequalities. Emphasis is placed on making connections in algebra to geometry and statistics. Topics include linear equations and inequalities, systems of linear equations, relations, functions and polynomials. The Saxon Math curriculum is a teaching method for incremental learning of mathematics. It involves teaching a new mathematical concept every day and constantly reviewing old concepts through a spiraling technique to better prepare students for high stakes testing. Saxon is in line with our Arizona state standards and the standards that lead to success on upper level assessments such as the ACT/SAT.

  Prerequisites:
Pre-Algebra


 
   
 

Algebra I

 

Instructor: Becca Rath
E-Mail:brath@edkey.org
Phone: (520) 568-9333

Algebra I includes the study of rational number properties, variables, polynomials, and factoring. Students learn to write, solve, and graph linear and quadratic equations and to solve systems of equations. They also learn to model real-world applications, including statistics and probability investigations.

This course will incorporate opportunities to practice skills in several different ways. Students will be able to gather, record, and use data to determine functional relationships. They will be able to solve equations using concrete models, tables, graphs, and algebraic methods. Students will also explore Algebra I as an international language and investigate how Algebra I is used in real-world situations both in the United States and around the world. Students will gain this knowledge through PowerPoint lectures which will include teachable note taking skills, group work and hands-on relevant projects. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Algebra I is the foundation for all other higher math courses. It is essential to have this foundation in order to be successful as you progress through high school. This course will provide a solid foundation for further study in mathematics by helping students develop computational, procedural, and problem-solving skills. To be good at mathematics, students must learn to translate real-life situations to mathematical models and obtain solutions; and Algebra I will help students develop this skill.


Prerequisites:
Successful completion of 8th Grade Pre-Algebra

 
Required Materials:
  • 3-ring binder
  • College-ruled filler paper
  • Graphing paper
  • Ruler that measures both inches and centimeters
  • Pencils (#2 and colored, if desired)
  • Dry-erase markers
  • 1 Folder
  • Scientific calculator (optional)

   
 

Algebra I

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

Algebra I includes the study of rational number properties, variables, polynomials, and factoring. Students learn to write, solve, and graph linear and quadratic equations and to solve systems of equations. They also learn to model real-world applications, including statistics and probability investigations.

This course will incorporate opportunities to practice skills in several different ways. Students will be able to gather, record, and use data to determine functional relationships. They will be able to solve equations using concrete models, tables, graphs, and algebraic methods. Students will also explore Algebra I as an international language and investigate how Algebra I is used in real-world situations both in the United States and around the world. Students will gain this knowledge through PowerPoint lectures which will include teachable note taking skills, group work and hands-on relevant projects. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Algebra I is the foundation for all other higher math courses. It is essential to have this foundation in order to be successful as you progress through high school. This course will provide a solid foundation for further study in mathematics by helping students develop computational, procedural, and problem-solving skills. To be good at mathematics, students must learn to translate real-life situations to mathematical models and obtain solutions; and Algebra I will help students develop this skill.


Prerequisites:
Successful completion of 8th Grade Pre-Algebra.

 
Required Materials:
  • A Graphing Calculator - TI-83 Plus or TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on <classjump.com/smcconkey

   
 

Algebra 1 and Geometry Foundations

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

This class is a combination of both Algebra I and Geometry. Students taking this class will be covering the Algebra I Basics and Geometry Basics. Algebra I includes the study of rational number properties, variables, polynomials, and factoring. Students learn to write, solve, and graph linear and quadratic equations and to solve systems of equations. They also learn to model real-world applications, including statistics and probability investigations. Geometry includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry. Graphing calculator skills will be taught and used extensively in this course and will be used for assessments.

Course Goals:
1.     Develop proficiency with all mathematical skills.
2.     Apply the understanding of mathematical concepts to real life.
3.     Apply mathematical skills in logical reasoning.
4.     Read and speak the language of mathematics.

First SemesterSecond Semester
Number Sense
Statistics, Data Analysis & Probability
Algebra & Functions
Measurement
Geometry
Mathematical Reasoning
Algebra 1- Quadratics


Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and college entrance exams. Students who complete Algebra II should take Precalculus as their fourth year math, as 4-year universities generally acknowledge it. Mathematical Analysis and Decision Making is a second option for a 4th year math.


 
Required Materials:
  • A Graphing Calculator - TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on <classjump.com/smcconkey

   
 

Algebra 2

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

Algebra 2 provides a review and extension of the concepts taught in Algebra 1 and Geometry. This course is designed to build on algebraic and geometric concepts. Topics to be covered will include equations and inequalities, coordinates and graphs, general functions, polynomial and rational functions, exponential and logarithmic function, trigonometric functions of angles and of real numbers, analytic trigonometry, systems of equations and inequalities, sequences and series. Graphing calculator skills will be taught and used extensively in this course and will be used for assessments.

First SemesterSecond Semester
Chapter 1 Foundations for Functions
Chapter 2 Linear Functions
Chapter 3 Linear Systems
Chapter 4 Matrices
Chapter 5 Quadratic Functions
Chapter 6 Polynomial Functions
Chapter 7 Exponential and Logarithmic Functions
Chapter 8 Rational and Radical Functions
Chapter 9 Properties and Attributes of Functions
Chapter 10 Conic Sections
Chapter 11 Probability and Statistics
Chapter 12 Sequence and Series

If time allows
Chapter 13 Trigonometric Functions
Chapter 14 Trigonometric Graphs and Identities


Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and college entrance exams. Students who complete Algebra II should take Precalculus as their fourth year math, as 4-year universities generally acknowledge it. Mathematical Analysis and Decision Making is a second option for a 4th year math.


Prerequisites:
To be successful in Algebra 2, a grade of C or above in both Algebra 1 and Geometry and a passing score on the Math AIMS Test is recommended.

 
Required Materials:
  • A Graphing Calculator - TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on <classjump.com/smcconkey

   
 

Applied Algebra 2

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

Applied Algebra 2 provides a large review and extension of the concepts taught in Algebra 1 and Geometry. This course is designed to build on algebraic and geometric concepts. Topics to be covered will include equations and inequalities, coordinates and graphs, general functions, polynomial and rational functions, exponential and logarithmic function, real numbers, systems of equations and inequalities, sequences and series. Graphing calculator skills will be taught and used extensively in this course and will be used for assessments.

Daily classes will begin with review of the homework and a check for understanding. Open note quizzes will be used to check student retention, as well as mid-chapter and end of the chapter assessments. A portion of the final grade will reflect the scores from the District Benchmark Assessment. We will use video lessons taught by the authors of our textbook as well as Khan Academy. Students will be encouraged to use these resources at home as well. The best way to learn is to teach. Students are encouraged to actively participate in class, instructing me through the steps to do a problem on the board. Then eventually building confidence, to go to the board and teach the class. One goal is to teach my students mistakes are the best way to learn. If we always get everything correct and never find a problem challenging, then we are not learning. There will be projects to encourage collaboration to solve complex problems, puzzles and riddles. Academic Vocabulary is very important to advanced math and will be purposely taught and accessed through writing activities, puzzles and games. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and college entrance exams. This course satisfies the high school math, Algebra 2 credit, but does not generally qualify as pre-requisite for Precalculus. Students who complete Applied Algebra II should take Financial Literacy next.


Prerequisites:
To be successful in Applied Algebra 2, students need to complete Algebra 1 and Geometry.

 
Required Materials:
  • A Graphing Calculator - TI-83 Plus or TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on classjump.com/smcconkey

   
 

Financial Literacy

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

Financial Literacy provides a large review and extension of the concepts taught in Geometry and Algebra 2. This course is designed to build on algebraic and geometric concepts and how to apply them to the real world. Students will be covering the types of math needed for figuring pay, types of deductions, and payroll taxes. Students will be filling out applications and discovering the types of math needed for many different trades and professions. They will also be balancing statements, exploring different types of loans, simple and compound interest, and be able to calculate APR and daily interest rates. Students will learn skills to be informed consumers when buying, leasing, or renting a car and will plan a trip by setting a budget, figure the costs of all aspects of the trip and learn map skills. Students will learn how to complete and file a State and Federal Tax forms using W-2s and 1099s. We will also investigate the pros and cons of renting or buying a home and the responsibilities of a homeowner.

Daily classes will begin with review of the homework and a check for understanding. Random homework assignments will be graded in detail and all will be checked for completion. There will be a mid-chapter and end of the chapter assessments. A portion of the final grade will reflect the scores from the District Benchmark Assessment. We will be using the materials and videos from the FDIC Money Smart Series and Khan Academy in class. We will be sharing real-life stories as many of our students have part-time jobs. There will be three large projects that will require the student to apply what they are learning to a real-life problem. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare them for the real world. Upon completion, the students will have a better understanding of how money is made, spent, saved, and how and when to use credit wisely. Students will be able to calculate their pay and be able to check pay statements for accuracy. In general, students will be informed consumers. Financial Literacy is accepted as a 4th year math credit, but is not generally acknowledged as a 4th year math for 4-year universities.


Prerequisites:
To be successful in Financial Literacy, students need to complete Algebra I and Geometry.

 
Required Materials:
  • A Graphing Calculator - TI-83 Plus or TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on classjump.com/smcconkey

   
 

Geometry

 

Instructor: Norm Stradleigh
E-Mail:nstradleigh@edkey.org
Phone: (520) 568-9333

Geometry includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry.

Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Inductive and deductive thinking skills are used in problem solving situations and applications to the real world are stressed. Students will be required to use different technological tools and manipulatives to discover and explain much of the course content. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Geometry skills and concepts developed in this course are useful to all students. Aside from learning these skills and concepts, students will develop their ability to construct formal, logical arguments and proofs in geometric settings and problems. Students who complete this course should be adequately prepared to take Algebra II.


Prerequisites:
Successful completion of Algebra I.

 
Required Materials:
  • 3-Ring Binder
  • Loose leaf paper
  • Graphing Paper
  • Ruler that measures both inches and centimeters
  • Pencils (#2 and colored, if desired)
  • 3x5 notecards
  • Protractor
  • Compass

   
 

Mathematical Analysis and Decision Making

 

Instructor: Sharon McConkey
E-Mail:smcconkey@edkey.org
Phone: (520) 568-9333 x11074

This 12th-grade capstone course engages students in relevant problems and prepares them for higher education and the workplace.
Mathematical Analysis and Decision Making (MADM) follows Algebra II and emphasizes statistics and financial applications. MADM is an engaging and rigorous course that prepares students to use a variety of mathematical tools and approaches to model a range of situation’s and solve problems. The course emphasizes statistics and financial applications, and it prepares students to use algebra, geometry, trigonometry, and discrete mathematics to solve real world problems. The course also helps students develop college and career skills such as collaborating, conducting research, and making presentations. Graphing calculator skills will be taught and used extensively in this course and will be used for assessments.

First SemesterSecond Semester
Unit I: Analyzing Numerical Data
  • Using Ratios, Rates and Percents
  • Using Averages, Weighted Averages and Indices
  • Estimating Large Numbers
  • Using Check Digits to Validate Identification Numbers

Unit II: Probability
  • Determining Probabilities
  • Everyday Decisions Based on Probabilities
  • Expected Value

Unit III: Analyzing Statistical Studies
Unit IV: Using Recursion in Models and Decision Making
  • Relationships in Data
  • Recursion in Exponential Growth and Decay
  • Recursion in Cyclical Models

Unit V: Using Functions in Models and Decision Making
  • Regression in Linear and Nonlinear Functions
  • Cyclical Functions
  • Step and Piecewise Functions

Unit VI: Decision Making in Finance
  • Future Value of an Investment
  • Present Value of an Investment


Throughout this course, students will develop learning strategies, critical thinking skill, and problem solving techniques to prepare for future math courses and college entrance exams. Students who complete Algebra II should take Precalculus as their fourth year math, as 4-year universities generally acknowledge it. Mathematical Analysis and Decision Making is a second option for a 4th year math.


 
Required Materials:
  • A Graphing Calculator - TI-84
  • #2 pencils and erasers (NO pens for math)
  • 1 1/2" 3 ring binder and loose-leaf paper exclusively for math (all class handouts will be 3-hole punched)


Lesson plans for the class will be posted for all to view on <classjump.com/smcconkey

   
 

Pre-Algebra

 

Instructor: Rebecca Rath
E-Mail:brath@edkey.org
Phone: (520) 568-9333

In this course, students will learn to solve problems involving algebraic equations and inequalities, integers and exponents, rational and real numbers, collecting, displaying and analyzing data, geometry and the Pythagorean Theorem, ratios and proportions, scale factor and percent, and probability.

The students will learn these concepts through daily practice, direct instruction, individual and group discovery, and various problem solving activities. Formative and summative assessments are a constant in this classroom to best track student progress and better assist in best teaching strategies for the individual student. District benchmarks are performed four times a year.

Upon completing this course students should have the skills necessary to be successful in high school algebra. They should be able to solve 1 and 2-step algebraic equations, convert fractions, decimals, and percent, use formulas to solve geometry problems, and use basic functions to create linear graphs.

For extra homework help or practice go to www.go.hrw.com


Prerequisites:
Must be in 8th grade, or if younger must have passed the placement test.

 
Required Materials:
  • 1" 3-ring binder
  • College ruled filler paper
  • 1 Folder
  • Pencils
  • Dry erase markers

   
 

Precalculus

 

Instructor: Norm Stradleigh
E-Mail:nstradleigh@edkey.org
Phone: (520) 568-9333

Pre-Calculus is a higher lever High School math class that prepares student for Calculus, college, or in preparation of a myriad of standardized math test, ie. AIMS, Common Core, PARCC, etc.

Pre-Calculus is a one credit, two semester course which reviews concepts from Algebra I and Algebra II, Geometry, Trigonometry, Functions, and basic statistical and probability concepts.

Lectures may be augmented with online video lectures from some the most recognized content instructors in America. Often, video lectures will be paused for questions, reflections, questions and comments. Open class discussions and intensive practice may be followed by both collaborative (group) problems solving exercizes and individual performance and understanding inventories (test).

While homework is not a primary learning tool for this class, student can expect that exercises, not completed during the allotted time in class, will be expected to be turned in completed at the first of the following class period.


 
Required Materials:
  • 3-ring binder
  • Loose leaf paper
  • Graphing paper
  • Ruler that measures both inches and centimeters
  • Pencils (#2 and colored, if desired)
  • 3x5 notecards
  • Protractor
  • Compass
  • Calculator (to be discussed in week one)