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Representing Data: Frequency Distributions and Stem and Leaf Plots 150 150 Deborah

Representing Data: Frequency Distributions and Stem and Leaf Plots
Equations and Inequalities with More Than One Operation 150 150 Deborah

Equations and Inequalities with More Than One Operation

Overview: Although some simple equations or inequalities call for one type of operation, many call for two or three steps.  In that case, read the problem carefully to determine what operations are needed.  Then solve the problem by working backwards. Be Sure What the Problem Is Asking Read the problem to determine what operations are…

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More Problem-Solving Strategies: Solve a Simpler Problem 150 150 Deborah

More Problem-Solving Strategies: Solve a Simpler Problem

Overview: There are many ways to solve math problems.  Some can be solved more easily by drawing a diagram, making a chart or graph of all the values, or looking for a pattern.  Another strategy to use is to solve a simpler problem, then use information from the steps and the solution to solve another…

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Math Review of Imaginary and Complex Numbers 150 150 Deborah

Math Review of Imaginary and Complex Numbers

Overview: While positive numbers have both positive and negative square roots, negative numbers do not have square roots within the set of real numbers. The set of imaginary numbers can be used in equations with square roots of negative numbers. Complex numbers have real and imaginary components, and can be used in operations similar to real…

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Math Review of Polygons 150 150 Deborah

Math Review of Polygons

  Overview: Polygons are geometric figures that are made up of line segments.  Many of them, such as triangles, squares, and rectangles, are familiar shapes.  Others, such as heptagons (7 sides) and nonagons (9 sides) are not. How Are Polygons Constructed? Polygons are constructed from the connection of line segments end to end, but not…

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Math Review of Logarithms 150 150 Deborah

Math Review of Logarithms

Overview: Logarithms are useful shorthand to express exponential values.  They have many common applications in mathematics, science, and engineering. What Is the Relationship Between Logarithms and Exponents? The number 10,000 is equal in exponential form to 104, where 10 is the base and 4 is the exponent.  In logarithmic form, log10 10,000 is equal to…

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Chemistry Review of the Mole 150 150 Deborah

Chemistry Review of the Mole

Overview: Atoms and molecules are so tiny that scientists do not usually measure how many of them are needed in a chemical reaction atom by atom or molecule by molecule.  The amount of atoms or molecules are usually measured in a standard unit called a mole.  The number of atoms, molecules, or ions in a…

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Chemistry Review of Gas Laws 150 150 Deborah

Chemistry Review of Gas Laws

Overview: Substances that exist in gaseous form follow the properties of that state of matter.  Although the random motion of individual atoms and molecules is unpredictable, other properties are not.  Some of these properties of this state of matter are known as the gas laws. What Is Boyle’s Law? Boyle’s law relates the pressure of…

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More Problem-Solving Strategies: Identify Subgoals 150 150 Deborah

More Problem-Solving Strategies: Identify Subgoals

Overview: Another important strategy to use when solving math problems is to identify subgoals.  Some problems need to be solved in steps, and then each step can be solved separately.  Many large and complex problems can be solved by using that strategy. What Is the Overall Problem? Suppose an assembly line is set up so…

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More Problem-Solving Strategies: Look for a Pattern 150 150 Deborah

More Problem-Solving Strategies: Look for a Pattern

Overview: One of the problem-solving strategies that is often used in math is to look for a pattern.  Often when exploring problems, the student can notice a relationship between numbers.  This relationship can help to solve the problem by shortening the number of steps it takes to get to a solution. Step 1: Make a…

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