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Math Review of Direct, Inverse, Joint, and Combined Variation 150 150 Deborah

Math Review of Direct, Inverse, Joint, and Combined Variation

Overview: Equations that describe the relationship between two variables in a sentence express the variation between those variables.  Examples of types of variation include direct, inverse, joint, and combined variation. What Is Direct Variation? In direct variation, as one variable is multiplied by a constant and increases, another variable (the quotient) also increases.  Suppose Jane…

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Math Introduction to Factoring a Perfect Square Trinomial 150 150 Deborah

Math Introduction to Factoring a Perfect Square Trinomial

Overview: A perfect square trinomial is the square of a binomial.  It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product.  If the pattern does not fit for a particular trinomial, it is not a perfect square…

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Math Review of Fractions, Decimals, and Percents 150 150 Deborah

Math Review of Fractions, Decimals, and Percents

Overview: Fractions can be converted to corresponding decimals, and both fractions and decimals can also be converted to percents.  As with many equivalent expressions in mathematics, fractions, decimals, and percents can also be converted back into their original forms. What Are Fractions? A fraction is a part of the whole so that it is in…

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Math Review of Models for Subtraction 150 150 Deborah

Math Review of Models for Subtraction

Overview: Subtraction is a basic arithmetic operation. Variables, as well as more familiar numbers, can be subtracted using similar models, of take-away, the number line, and comparison. What Is the Take-Away Model of Subtraction? The take-away model of subtraction is the model that is most familiar from elementary school.  Recall familiar problems such as “If…

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Math Review of Finding Common Factors of Polynomials 150 150 Deborah

Math Review of Finding Common Factors of Polynomials

Overview: The process of finding common factors for polynomials is similar to the process of finding common factors for real numbers. Both can be written as prime factors.  The greatest common factor may be numerical, the product of a real number and a variable, or a binomial expression. Finding Prime Factors of Real Numbers There…

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Math Review of the Triangle-Sum Property 150 150 Deborah

Math Review of the Triangle-Sum Property

Overview: One of the many interesting properties of triangles is the Triangle-Sum Property.  According to the Triangle-Sum property, the sum of the measures of the angles of any triangle is 180 degrees.  The angles of the triangle form a straight angle. What Is a Triangle? A triangle is a polygon that has three sides that…

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Math Review of Using Parentheses in Equations 150 150 Deborah

Math Review of Using Parentheses in Equations

Overview: Parentheses in equations mean that numbers and variables should be combined first, regardless of the standard order of operations.  For example, an expression such as (3 + 4)∙ 5, which equals 35, has a different meaning than 3 + (4 ∙ 5), which equals 23.  Similarly, an expression such as (2 + 3)/7x has…

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Math Review of Adding and Subtracting Fractions 150 150 Deborah

Math Review of Adding and Subtracting Fractions

Overview: Adding and subtracting fractions is similar to adding and subtracting whole numbers, with one important difference.  The denominators must be the same, so that if the fractions do not have the same denominator, they must be changed into equivalent fractions with the same denominator.  Then the general pattern of adding or subtracting fractions can…

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Math Review of Proportions 150 150 Deborah

Math Review of Proportions

Overview: Number statements that contain proportions are statements that fractions are equivalent. It can easily be shown that 2/4 = 3/6.   If the proportions contain variables, they can be solved like any other number statement.  The solution may just take more steps. What Are Rates, Ratios, and Proportion? The words rate, ratio, and proportion all…

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Determining Genotypes and Phenotypes using Punnett Squares 150 150 Teaching Staff

Determining Genotypes and Phenotypes using Punnett Squares

Overview: Punnett squares are diagrams designed to predict results of classic breeding experiments. They support Mendelian inheritance, as well as the laws of segregation and independent assortment. During meiosis, chromatids are separated such that each gamete receives only one allele. Additionally, different genes are assorted and inherited independently from on another; the probability of one…

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