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\author{Steler}
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  /Title (midterm-math-bmma-1st-term.pdf)
  /Creator (Cheatography)
  /Author (Steler)
  /Subject (Midterm Math BMMA 1st Term Cheat Sheet)
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    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Midterm Math BMMA 1st Term Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Steler} via \textcolor{DarkBackground}{\uline{cheatography.com/193298/cs/41144/}}}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Steler \\
  \uline{cheatography.com/steler} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 2nd November, 2023.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{What is Inductive Reasoning}}  \tn
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It is the process of reaching a {\bf{general conclusion}} by examining {\bf{specific examples}}. & {\bf{Conjecture}} is the conclusion brought upon this reasoning. This conclusion may be right or wrong \tn 
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\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Uses of Inductive Reasoning}}  \tn
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Use Inductive Reasoning to Predict a Number & Using inductive reasoning to predict the next number \tn 
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Use Inductive Reasoning to Make a Conjecture & Using inductive reasoning to make a conjecture about the relationship between the size of the resulting number and the size of the original number \tn 
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Use Inductive Reasoning to Solve an Application & Scientists often use inductive reasoning. \tn 
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{What is Deductive Reasoning?}}  \tn
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\mymulticolumn{2}{x{5.377cm}}{It is the process of reaching a conclusion by applying general assumptions, procedures, or principles.} \tn 
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\mymulticolumn{2}{x{5.377cm}}{{\bf{Uses of Deductive Reasoning}}} \tn 
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\mymulticolumn{2}{x{5.377cm}}{Using Deductive Reasoning to Establish a Conjecture} \tn 
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Logic Puzzles & These can be solved by using deductive reasoning and a chart that enables us to display the given information in a visual manner. \tn 
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Problem Solving with Patterns}}  \tn
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{\bf{Term of a Sequence}} & An ordered list of numbers such as 5,14,27,44,65 … is called a {\bf{sequence}}. \tn 
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 & The numbers in a sequence that are separated by commas are the {\bf{terms of the sequence}}. \tn 
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 & . It is customary to use the subscript notation to designate the nth term of a sequence. \tn 
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The "nth" term is a formula with "n" in it which enables you to find any term of a sequence without having to go up from one term to the next. & a1 represents the 1st term of a sequence. \tn 
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"n" stands for the term number, so to find the 50th term, we would just substitute 50 in the formula in place of "n". & a2 represents the 2nd term of a sequence. \tn 
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 & a3 represents the 3rd term of a sequence.. \tn 
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Problem Solving with Patterns (cont)}}  \tn
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 & {\bf{aN represents the nth term of a sequence.}} \tn 
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{\bf{Difference Table}} & The difference table shows the differences between successive terms of the sequence \tn 
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\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Polya's Four-Step Problem Solving Strategy}}  \tn
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{\bf{Understand the Problem}} & Can you restate the problem in your own words? \tn 
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{\emph{This part of Polya's four-step strategy is often overlooked. You must have a clear understanding of the problem.}} & Can you determine what is known about these types of problems? \tn 
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 & Is there a missing information that, if known, would allow you to solve the problem? \tn 
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 & Is there an extraneous information that is not needed to solve the problem? \tn 
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 & What is the goal? \tn 
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{\bf{Devise A Plan}} & Make a list of the known information. • Make a list of information that is needed. \tn 
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{\emph{. Successful problem solvers use a variety of techniques when they attempt to solve a problem.}} & Draw a diagram. • Make an organized list that shows all the possibilities. \tn 
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 & Make a table or a chart. • Work backwards. \tn 
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\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Polya's Four-Step Problem Solving Strategy (cont)}}  \tn
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 & Try to solve a similar but simpler problem. • Look for a pattern. \tn 
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 & Write an equation. If necessary, define what each variable represents. • Perform an experiment. \tn 
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 & Guess at a solution, then check your result. \tn 
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\mymulticolumn{2}{x{5.377cm}}{{\bf{Carry out the Plan}}} \tn 
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{\emph{Once you have devised a plan, you must carry it out.}} & Work carefully. • Keep an accurate and neat record of all your attempts. \tn 
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 & Realize that some of your initial plans will not work and that you may have to devise another plan or modify your existing plan. \tn 
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{\bf{Review the Solution}} & Ensure that the solution is consistent with the facts of the problem. • Interpret the solution in the context of the problem. \tn 
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\begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Polya's Four-Step Problem Solving Strategy (cont)}}  \tn
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 & Ask yourself if there are generalizations of the solution that could apply to other problems. \tn 
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% That's all folks
\end{multicols*}

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