Algebra 1
Algebra is about finding the unknown or it is about putting real life problems into equations and then solving them. Unfortunately many textbooks go straight to the rules, procedures and formulas, forgetting that these are real life problems being solved.
A branch of mathematics that substitutes letters for numbers. An algebraic equation represents a scale, what is done on one side of the scale with a number is also done to the other side of the scale. The numbers are the constants...
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Algebra 2
Algebra 2 covers quadratic equations, graphing, complex numbers, functions, sequences and series, and exponents and logarithms. Problem solving skills are emphasized throughout, and time is devoted to advanced topics like telescoping sums and piecewise functions.
Calculus
The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions. It is a particular method or system of calculation or reasoning.
Calculus is the study of change, with the basic focus being on
1. Rate of change (Differential Calculus)
2. Accumulation (Integral Calculus)
In both of these branches (Differential and Integral), the concepts learned in algebra and geometry are extended using the idea of limits. Limits allow...
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Chemistry
My glossary definition is short and sweet: Chemistry is the "scientific study of matter, its properties, and interactions with other matter and with energy."
An important point to remember is that chemistry is a science, which means its procedures are systematic and reproducible and its hypotheses are tested using the scientific method. Chemists, scientists who study chemistry, examine the properties and composition of matter and the interactions between substances. Chemistry is closely...
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Geometry
Geometry is the study of the size, shape and position of 2 dimensional shapes and 3 dimensional figures. However, geometry is used daily by almost everyone. In geometry, one explores spatial sense and geometric reasoning.
It is in every part of the curriculum K-12 and through to college and university. Since most educational jurisdictions use a spiraling curriculum, the concepts are re-visited throughout the grades advancing in level of difficulty. Typically in the early years, learners...
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Prealgebra
Pre-Algebra is a common name for a course in middle school mathematics. In the United States, pre-algebra is generally taught between the fifth and eighth grades, although sometimes taught as early as the third grade for gifted students. The objective of pre-algebra is to prepare the student for the study of algebra.
Pre-algebra includes several broad subjects:
- Review of natural number arithmetic
- New types of numbers such as integers, fractions, decimals and negative...
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Precalculus
Precalculus, an advanced form of secondary school algebra, is a foundational mathematical discipline. It is also called Introduction to Analysis. In many schools, precalculus is actually two separate courses: Algebra and Trigonometry. Precalculus prepares students for calculus the same way as pre-algebra prepares students for Algebra I. While pre-algebra teaches students many different fundamental algebra topics, precalculus does not involve calculus, but explores topics that will be applied in...
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Reading
Reading comprehension is defined as the level of understanding of a text/message. This understanding comes from the interaction between the words that are written and how they trigger knowledge outside the text/message.
Proficient reading depends on the ability to recognize words quickly and effortlessly. If word recognition is difficult, students use too much of their processing capacity to read individual words, which interferes with their ability to comprehend what is read.
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Trigonometry
Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies. It is also the foundation of the practical art of surveying.
Trigonometry basics are often...
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Spelling
Learning spelling words is important to your child’s future. Spelling is important because it aids in reading. It helps cement the connection that is shared between sounds and letters. Learning high frequency sight words also has been shown to help with both reading and writing. This is why students learn sight words during their early years. Spelling and reading also have a common factor, proficiency with language. The major goal of the English writing system is not merely to ensure accurate...
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Elementary Math
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on probability and statistics and on problem solving.
A mastery of elementary mathematics is necessary for many professions, including carpentry, plumbing, and automobile repair, as well as being a prerequisite...
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Differential Equations
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. Differential equations play a prominent role in engineering, physics, economics, and other disciplines.
Differential equations arise in many areas of science and technology, specifically whenever a deterministic relation involving some continuously varying quantities (modeled by functions) and their...
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Linear Algebra
Linear algebra is the branch of mathematics concerning vector spaces, often finite or countably infinite dimensional, as well as linear mappings between such spaces. Such an investigation is initially motivated by a system of linear equations in several unknowns. Such equations are naturally represented using the formalism of matrices and vectors. Linear algebra is central to both pure and applied mathematics. For instance, abstract algebra arises by relaxing the axioms of a vector space, leading...
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