The following course sequence is designed to provide necessary mathematical knowledge and skills for students who plan military enlistment or direct entry to the workforce following graduation from Thornton Academy .
Foundations of Math I ( 1 credit )
Math is a useful skill to have . Common tasks such as measuring the ingredients for a recipe , determining the mileage of a driving trip , or figuring out the cost of an item on sale all depend on good math understanding . Math I is a non-college preparatory course in the principles of pre-algebra . Students will practice Foundations of Math skills : adding , subtracting , multiplication , division , and fractions using both positive and negative integers . While learning Foundations of Math , students will be introduced to the concepts of variables , constants , solving one variable equations and graphing . During the second half of the course students will use slopeintercept equations and graph those linear equations .
Foundations of Math II ( 1 credit ) Prerequisite : Math I
Working in a trade , such as carpentry , electrical work , mechanics , and plumbing requires the ability to estimate job costs and use technical math skills specific to the field . Knowledge of slopes , areas , volumes , and distances is essential . Math II is a non-college preparatory course in the principles of geometry . Students will study many of the topics in a traditional high school geometry class but omit the element of proofs . Emphasis is placed on patterns and inductive reasoning , coordinate geometry , angles , parallel lines , triangles , congruence , similarity , quadrilaterals , polygons , circles , surface area , and volume .
Foundations of Math III ( 1 credit ) Prerequisite : Math II
Since aptitude testing has been shown to be twice as accurate as job interviews in predicting future job performance , the use of employment testing has grown dramatically in recent years . Math III is a non-college preparatory course in the principles of Algebra I . The course will include a review of basic algebraic concepts learned in Math I , such as variables and order of operations . Students will learn how to solve linear equations , including multi-step equations , equations with multiple variables and equations involving decimals , as well as write a linear equation based on the graph of a line . A study of exponents will introduce students to concepts beyond linear functions .
Foundations of Math IV ( 1 credit ) Prerequisite : Math III
Consumer math is a field of mathematics that applies Foundations of Math skills to situations common to daily living such as buying a car , budgeting money , investing , and paying taxes . This course will prepare seniors planning to enter the workforce directly after high school with an introduction to these critical life-long skills . It will also include ACCUPLACER preparation for those who intend to enter a community college after graduation .
The following course sequence is designed to provide necessary mathematical knowledge and skills for students who plan to enroll in a two- or four-year college program following graduation from Thornton Academy .
Algebra I ( 1 credit )
Algebra I is the foundation for all math courses students will take in high school . It is imperative that students have a cohesive and comprehensive understanding of algebraic concepts . This course will enable students to extend and strengthen their understanding of the basic operations related to whole numbers , fractions , decimals , ratios and percents . Topics studied also include a review of integer properties , operation with signed numbers , solving linear equations and inequalities . Students will gain skills for graphing linear equations , calculating and identifying slope , and working with systems of linear equations . In addition , students will be introduced to such topics as functions , exponents , and polynomials ; which will be all useful for future mathematics courses .
Algebra with Discrete
Mathematics ( 1 credit )
Prerequisite : Algebra I
Beginning with a unit on systems of equations , this course builds on skills learned in Algebra I . Other new algebraic concepts include factoring , solving by factoring and an introduction to quadratic equations . Discrete mathematics topics of statistics and probability build skills in understanding of survey methods , analyzing data and graphs found in everyday life as well as calculating probabilities through the use of combinations and permutations . Learn why the hotels in Vegas can afford to be so breathtaking !
Geometry ( 1 credit )
Prerequisite : Algebra with Discrete Mathematics , or Algebra 1 with an A average , or placement by instructor
In this class geometric concepts will be studied from an algebraic perspective , sharpening logical thinking skills . Students will practice problem solving and become familiar with a core set of geometric postulates and theorems that detail relationships about polygons , circles , parallel lines , similarity , and congruence .
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