Mathematics Department Carnegie Math is an integrated series which includes Course 1,2,3; Algebra A/ B/ Math 180, Common Core Algebra 1,Algebra 2 and Geometry. The courses are hybrid combination of classwork, with a focus on cooperative learning and problem solving skills, and computer time to develop fundamental skills through individual practice. The classes will be divided roughly 60-40 for class/computer time.
Carnegie Learning Algebra I is designed as a first-year Algebra course for core instruction. It can be implemented with students at a variety of ability and grade levels. The U.S. Department of Education’s What Works Clearinghouse identifies Carnegie Learning Algebra I as one of very few curricula with studies that show substantial, positive effects on learning and student attitudes in a strong experimental design. Content covered includes: Patterns and Multiple Representations, Proportional Reasoning, Percents, and Direct Variation, Solving Linear Equations, Linear Functions and Inequalities, Writing and Graphing Linear Equations, Lines of Best Fit, Systems of Equations and Inequalities, Quadratic Functions, Properties of Exponents, Polynomial Functions Rational Expressions, Probability, Statistical Analysis, Quadratic and Exponential Functions and Logic.
Geometry:
Carnegie Learning Geometry incorporates the van Hiele model of Geometric thought; a theory that describes how students learn geometry. Our curriculum will enable students to develop a deep understanding of Geometry. The course assumes number fluency and basic algebra skills such as equation solving. Carnegie Learning Geometry is aligned to NCTM and Achieve standards. It is designed to be taken after an algebra course and can be implemented with students at a variety of ability and grade levels. Content covered includes: Tools of Geometry, Introduction of Proof, Perimeter and Area of Coordinate Plane, Three-dimensional Figures, Properties of Triangles, Similarity Through Transformation, Congruence Through Transformation, Using Congruence Theorems, Trigonometry, Properties of Quadrilaterals, Circles, Arcs and Sectors of Circles, Circles and Parabolas, Probability, More Probability and Counting.
Algebra II:
Carnegie Learning Algebra II promotes the understanding of both linear and non-linear functional forms, as well as the relationship between text, equations, graphs and tables through the mathematical modeling of realistic situations. Our program motivates students to talk about mathematical functions, tackle real-world problems, strengthen their conceptual foundations and understand Algebra's relevance in everyday life. Content includes: Searching for Patterns, Quadratic Functions, Graphs of Polynomial Functions, Polynomial Expressions and Equations, Polynomial Modeling, Sequences and Series, Graphs of Rational Functions, Rational Expressions and Equations, Radical Functions, Graphs of Exponential and Logarithmic Functions, Exponential and Logarithmic Expressions and Equations, Mathematical Modeling, Graphs of Trigonometric Functions, Trigonometric Expressions and Equations, Interpret Data in a Normal Probability Distribution, Make Inference and Justify Conclusions, Make Decisions Using Complex Probability Models.
Mathematics Fundamentals:
This course will cover all of the Pennsylvania academic standards for Mathematics. The students will learn introductory concepts of General Math, Algebra, Algebra II, Trigonometry, Calculus and Geometry. The course is offered to students to help guide them in the local and state assessment plan.
Pre- Calculus/Calculus:
This course will be a two-credit double-period course. The first semester will cover pre-calculus concepts all college students need as prerequisites to calculus and related courses required in many undergraduate majors. Specific topics include algebraic expressions, polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. The second semester will cover Calculus I concepts such as differential calculus, functions and graphs, exponential, logarithmic, and trigonometric functions, limits, derivatives, and integration. (We are seeking Dual Enrollment status through Lackawanna College – TBA)
SAT Prep:
11th grade students: The class will be one 45 day segment of SAT or PSSA Math preparation. Placement in the appropriate section will be determined by previously optioned PSSA scores. This course will prepare students for the SAT test or PSSA test. All Pennsylvania academic standards will be addressed and remediate during in the PSSA math prep segment.
Probability & Statistics - Dual (12th grade): This course, which has the option for dual-enrollment, introduces students to statistical methods and measurements developed in the context of applications. Topics include data analysis and graphing, Variation and Measures of Central Tendency, Correlation and Regression, Elementary Probability Theory. The Binomial Distribution, and Normal Curves. This course is available for dual enrollment credit, in affiliation with Lackawanna College.
Algebra A/ Algebra B/ MATH 180
Algebra A/ Algebra B/ MATH 180 is an innovative math intervention program by Houghton Mifflin Harcourt. MATH 180 is a research-based program with proven results in raising student math achievement. MATH 180 uses cutting-edge technology to deliver individualized math instruction, provide valuable skills practice, and motivate students to develop confidence and fluency in math. In our MATH 180 class, students and teachers work together to: • Build essential math skills for college and career readiness. • Bring math proficiency up to grade level. • Develop mathematical practices and habits of mind. • Apply math skills to solve real-world problems. • Show students they can attain academic success in math.
Carnegie Math is an integrated series which includes Course 1,2,3; Algebra A/ B/ Math 180, Common Core Algebra 1,Algebra 2 and Geometry. The courses are hybrid combination of classwork, with a focus on cooperative learning and problem solving skills, and computer time to develop fundamental skills through individual practice. The classes will be divided roughly 60-40 for class/computer time.
Course 2 - 7th grade
Course 3 - 7th,8th grades
Keystone Algebra 1 - 9th,10th grades
Algebra II - 10th,11th,12th grades
Geometry - 11th,12th grades
Mathematics Fundamentals - 10th, 11th & 12th grades
Pre Calculus/Dual - 12th grade
Calculus -12th grade
SAT Prep - 11th grade
Probability & Statistics/Dual Enrollment
Algebra A/ Algebra B/ Math 180
Keystone Algebra I:
Carnegie Learning Algebra I is designed as a first-year Algebra course for core instruction. It can be implemented with students at a variety of ability and grade levels. The U.S. Department of Education’s What Works Clearinghouse identifies Carnegie Learning Algebra I as one of very few curricula with studies that show substantial, positive effects on learning and student attitudes in a strong experimental design. Content covered includes: Patterns and Multiple Representations, Proportional Reasoning, Percents, and Direct Variation, Solving Linear Equations, Linear Functions and Inequalities, Writing and Graphing Linear Equations, Lines of Best Fit, Systems of Equations and Inequalities, Quadratic Functions, Properties of Exponents, Polynomial Functions Rational Expressions, Probability, Statistical Analysis, Quadratic and Exponential Functions and Logic.
Geometry:
Carnegie Learning Geometry incorporates the van Hiele model of Geometric thought; a theory that describes how students learn geometry. Our curriculum will enable students to develop a deep understanding of Geometry. The course assumes number fluency and basic algebra skills such as equation solving. Carnegie Learning Geometry is aligned to NCTM and Achieve standards. It is designed to be taken after an algebra course and can be implemented with students at a variety of ability and grade levels. Content covered includes: Tools of Geometry, Introduction of Proof, Perimeter and Area of Coordinate Plane, Three-dimensional Figures, Properties of Triangles, Similarity Through Transformation, Congruence Through Transformation, Using Congruence Theorems, Trigonometry, Properties of Quadrilaterals, Circles, Arcs and Sectors of Circles, Circles and Parabolas, Probability, More Probability and Counting.
Algebra II:
Carnegie Learning Algebra II promotes the understanding of both linear and non-linear functional forms, as well as the relationship between text, equations, graphs and tables through the mathematical modeling of realistic situations. Our program motivates students to talk about mathematical functions, tackle real-world problems, strengthen their conceptual foundations and understand Algebra's relevance in everyday life. Content includes: Searching for Patterns, Quadratic Functions, Graphs of Polynomial Functions, Polynomial Expressions and Equations, Polynomial Modeling, Sequences and Series, Graphs of Rational Functions, Rational Expressions and Equations, Radical Functions, Graphs of Exponential and Logarithmic Functions, Exponential and Logarithmic Expressions and Equations, Mathematical Modeling, Graphs of Trigonometric Functions, Trigonometric Expressions and Equations, Interpret Data in a Normal Probability Distribution, Make Inference and Justify Conclusions, Make Decisions Using Complex Probability Models.
Mathematics Fundamentals:
This course will cover all of the Pennsylvania academic standards for Mathematics. The students will learn introductory concepts of General Math, Algebra, Algebra II, Trigonometry, Calculus and Geometry. The course is offered to students to help guide them in the local and state assessment plan.
Pre- Calculus/Calculus:
This course will be a two-credit double-period course. The first semester will cover pre-calculus concepts all college students need as prerequisites to calculus and related courses required in many undergraduate majors. Specific topics include algebraic expressions, polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. The second semester will cover Calculus I concepts such as differential calculus, functions and graphs, exponential, logarithmic, and trigonometric functions, limits, derivatives, and integration.(We are seeking Dual Enrollment status through Lackawanna College – TBA)
SAT Prep:
11th grade students: The class will be one 45 day segment of SAT or PSSA Math preparation. Placement in the appropriate section will be determined by previously optioned PSSA scores. This course will prepare students for the SAT test or PSSA test. All Pennsylvania academic standards will be addressed and remediate during in the PSSA math prep segment.Probability & Statistics - Dual (12th grade):
This course, which has the option for dual-enrollment, introduces students to statistical methods and measurements developed in the context of applications. Topics include data analysis and graphing, Variation and Measures of Central Tendency, Correlation and Regression, Elementary Probability Theory. The Binomial Distribution, and Normal Curves. This course is available for dual enrollment credit, in affiliation with Lackawanna College.
Algebra A/ Algebra B/ MATH 180
Algebra A/ Algebra B/ MATH 180 is an innovative math intervention program by Houghton Mifflin Harcourt. MATH 180 is a research-based program with proven results in raising student math achievement. MATH 180 uses cutting-edge technology to deliver individualized math instruction, provide valuable skills practice, and motivate students to develop confidence and fluency in math. In our MATH 180 class, students and teachers work together to: • Build essential math skills for college and career readiness. • Bring math proficiency up to grade level. • Develop mathematical practices and habits of mind. • Apply math skills to solve real-world problems. • Show students they can attain academic success in math.