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Math Review of Binary Systems 150 150 Deborah

Math Review of Binary Systems

Overview Numbers in Base 2 are real numbers that can be involved in mathematical operations in the same way as more familiar decimal or Base 10 numbers. The advantage of binary systems — that they contain two numerals 0 and 1 — means that they can be used in situations that have two alternatives. Introduction…

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Back to School Review of Equality and Inequality of Fractions 150 150 Deborah

Back to School Review of Equality and Inequality of Fractions

Overview The concept of dividing a whole into parts and then dividing the parts into smaller entities is basic to mathematics. That model of division can be illustrated by manipulatives such as fraction bars and Cuisenaire rods. Equality and inequality of fractions can be demonstrated by finding their common denominators and comparing them. By comparing…

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Math Review of Special Factoring Formulas and a General Review of Factoring 150 150 Deborah

Math Review of Special Factoring Formulas and a General Review of Factoring

Overview Some special factoring formulas include the difference of two squares, the sum of two cubes, and the difference of two cubes. If there are three terms or more in the polynomial, students can use strategies such as finding common factors and factoring by grouping. Extending the Difference of Two Squares The difference of two…

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Back to School Review of Space Figures 150 150 Deborah

Back to School Review of Space Figures

Overview Space figures exist in three dimensions. Some examples include spheres, cubes, tetrahedra, polyhedra, cylinders, cones, and other types of solids. Space Figures Add Depth Plane figures such as polygons and curved figures are two-dimensional and flat. They have length and width. Space figures exist in three dimensions, adding depth. A sphere has a center…

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Back to School Review of Plane Figures 150 150 Deborah

Back to School Review of Plane Figures

Overview Plane figures in geometry include points, segments, lines, rays, and angles, polygons, curves, and circles. They appear on a flat plane. Points, Segments, Lines, Rays, and Angles Think of a pencil point, and make it smaller, until it is a no-dimensional, undefined, geometric concept that only exists in the minds of mathematicians.  Segments are…

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More Math Concepts for Division 150 150 Deborah

More Math Concepts for Division

Overview If division were limited to single-digit divisors and math facts, it would be comparatively easy. Long division is more difficult to visualize and tie to real-world manipulative objects. Paradigms exist for long division, and there are tips and tricks for dealing with other problems. Divisibility Sometimes it is easier to tell if a dividend…

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Back to School Review of Division 150 150 Deborah

Back to School Review of Division

Overview Division is the inverse of multiplication. If a times b equals c, and b is not equal to zero, then c divided by b equals a. Also, for any real number a not equal to zero, a times 1/a equals 1. Division Division is one of the four basic arithmetic operations. It is usually…

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Math Review of Graphing Parallel and Perpendicular Lines 150 150 Deborah

Math Review of Graphing Parallel and Perpendicular Lines

Overview If two linear equations are solved, and their solution is graphed on a Cartesian coordinate plane, there are three possibilities. The lines may be the same, with all solutions in common. They may never intersect, with no solutions in common. They may intersect at only one point, with one solution in common. Review of…

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Math Review of Operations with Sets 150 150 Deborah

Math Review of Operations with Sets

Overview Operations with sets include the union of sets, the intersection of sets, and complements of sets. These operations can be applied to solve survey problems using sets. Special Types of Sets Some special types of sets include the null or empty set, the universal set, and proper and improper subsets. The null or empty…

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Math Review of Multiplication of Matrices 150 150 Deborah

Math Review of Multiplication of Matrices

Overview: The dimensions of a matrix are important to its definition.  In order for the multiplication of two matrices to be meaningful, each matrix must have certain dimensions.  Multiplication of matrices is not commutative. Review of Scalar Multiplication In order to multiply a matrix by a constant, every member of the matrix is multiplied by…

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