Algebra 1- Part A
Credit: 1
Open to: 9-12
Prerequisite: None
Maine Learning Results Assessed:
- The learner will understand and demonstrate an sense of what numbers mean and how they are used.
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand and demonstrate measurement skills
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
This course is the first in a two-block course equivalent of Algebra 1. Students will learn to make sense of important algebraic concepts, learn essential algebraic skills, and discover how to use algebra. Students will study fractions and fractals, data exploration, proportional reasoning and probability, variation and graphs, linear equations, and fitting a line to data. Upon successful completion this course will be followed with Algebra 1 - Part B.
Algebra 1 - Part B
Credit: 1
Open to: 9-12
Prerequisite: Algebra 1 – Part A
Maine Learning Results Assessed:
- The learner will understand and demonstrate an sense of what numbers mean and how they are used.
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand and demonstrate measurement skills
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
This is the second block of a two-block Algebra 1 course. Students will continue to investigate important algebraic concepts and skills. Topics to be studied are systems of equations and inequalities, exponents and exponential models, functions, transformations, quadratic models, and an introduction to geometry with some basic right triangle trigonometry. Students successfully completing this course will be prepared to take Geometry or Algebra 2.
Algebra 1
Credit: 1
Open to: 9-12
Prerequisite: None
Maine Learning Results Assessed:
- The learner will understand and demonstrate an sense of what numbers mean and how they are used.
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand and demonstrate measurement skills
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
In this course, students will study fractions and fractals, data exploration, proportional reasoning and probability, variation and graphs, linear equations, fitting a line to data, systems of equations and inequalities, exponents and exponential models, functions, transformations, quadratic models, and an introduction to geometry with right triangle trigonometry. Students successfully completing this course will be prepared to complete Geometry and Algebra 2.
Geometry
Credit: 1
Open to: 9-12
Prerequisite: Algebra 1 or Algebra 1 - B
Maine Learning Results Assessed:
- The learner will understand and demonstrate a sense of what numbers are and how they are used.
- The learner will understand and apply concepts from geometry.
- The learner will understand and demonstrate measurement skills.
- The learner will understand and apply algebraic concepts.
- The learner will reflect upon and clarify their understanding of mathematical relationships.
Students will develop an appreciation and understanding of geometry including inductive and deductive reasoning. Topics include lines, polygons, triangles, circles, transformations, similarity, measurements, circuits, and probability.
Algebra 2
Credit: 1
Open to: 9-12
Prerequisite: Algebra 1 or Algebra 1B
Maine Learning Results Assessed:
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand that mathematics is the science of patterns, relationship, and functions.
- The learner will understands and apply algebraic concepts.
- The learner will reflect upon and clarify their understanding of mathematical ideas and relationships.
Students will study topics including linear equations and inequalities, matrices, functions, conic sections, polynomials and polynomial functions, exponents , radicals, and logarithms, rational functions, probability, and topics from discrete mathematics.
Trigonometry
Credit: 1/2
Open to:10 -12
Prerequisite: Algebra 2 and Geometry
Maine Learning Results Assessed:
- The learner will understand and demonstrate a sense of what numbers are and how they are used.
- The learner will understand and demonstrate computational skills.
- The learner will understand and apply concepts from geometry.
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
- The learner will understand and apply concepts of mathematical reasoning.
- The learner will reflect upon and clarify their understanding of mathematical relationships.
The purpose of this Trigonometry course is to introduce students to to the major concepts and tools for solving real-life applications using the six basic trigonometric functions, solving trigonometric identities and equations, vectors, and advanced algebra. The topics for this course are: the six basic trig functions (sine, cosine, tangent, cosecant, secant, and cotangent), trig equations and identities, vectors, complex numbers, logarithmic and exponential equations, analytic geometry (conics, ellipses, hyperbolas, and parametric and polar equations).
Pre-calculus
Credit: 1
Open to: 10-12
Prerequisite: Algebra 2 and Geometry
Maine Learning Results Assessed:
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
- The learner will reflect upon and clarify their understanding of mathematical ideas and relationships.
Pre-calculus is an honors level course in which students will study functions and mathematical models, periodic functions, right triangle trigonometry, applications of trigonometric and circular functions, trigonometric identities and functions, identifying functions, logarithmic and logistic functions, fitting functions to data, statistics, matrix transformations, conic sections, polynomial and rational functions, and sequences and series. Students successfully completing this course will be prepared to take Calculus.
Advanced Placement Calculus AB Block
Credits: 1.5
Open to: 11-12
Prerequisite: Pre-Calculus
Maine Learning Results Assessed:
- The learner will understand and demonstrate a sense of what numbers mean and how they are used.
- The learner will understand and demonstrate computation skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
- The learner will reflect upon and clarify their understanding of mathematical ideas and relationships.
This course is the study of limits, derivatives, definite integrals and indefinite integrals. Students will study these concepts in four ways: graphically, numerically, algebraically, and verbally. The course is designed to meet the curricular requirements as described in the AP Calculus AB Course Description. The first semester covers most of the topics of the AP course curriculum. The 40 minute per day course in the second semester completes the topics and focuses on preparation for the AP exam in May.
Statistics
Credit: 1
Open to: 10-12
Prerequisite: Algebra 2 and Geometry
Maine Learning Results Assessed:
- The learner will understand and demonstrate computational skills.
- The learner will understand and apply concepts of data analysis.
- The learner will understand and apply concepts of probability
- The learner understand that mathematics is the science of patterns, relationships, and functions.
- The learner will understand and apply algebraic concepts.
- The learner will understand and apply concepts of mathematical reasoning.
- The learner will reflect upon and clarify their understanding of mathematical relationships.
Students will be introduced to the major concepts and tools for collecting data, analyzing the data, and then drawing conclusions from the data. The topics for this course are exploring, summarizing, and displaying data, designing surveys and experiments, using probability to understand random behavior, making inferences about populations by looking at samples from those populations, and making inferences about the effect of treatments from designed experiments.
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