Example 3: Pencil and Index Card Analysis
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This example demonstrates the analysis of quantities through purchasing pencils and index cards. Key mathematical concepts include algebraic equations, variable substitution, and practical applications. Construction involves GeoGebra commands like stepMax, stepper, and steps for dynamic visualization. Suitable for middle school or high school students learning algebra and problem-solving.
GeoGebra Commands & Parameters
LaTeX(steps) → counterLaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationTextCorner(1) → ACorner(3) → BLaTeX((((("\text{Index cards are represented by the variable }\textcolor{#000099}{c}\text{, and she bought }\textcolor{#000099}{" * cards) * "}\text{ packs of index}\cr\text{cards. The term representing the number of packs she purchased is }\textcolor{#000099}{") * cards) * "c}.")) → text3LaTeX((((("\text{Nia had a coupon for }\textcolor{#000099}{\$" * discount) * "}\text{ off her total purchase. The coupon represents a discount,}\cr\text{or subtraction, from the amount she has to pay. This can be represented by }\textcolor{#000099}{–") * discount) * "}.")) → text4LaTeX("\text{Identify the term(s) in the expression.}") → text6LaTeX("\text{Identify the coefficient(s) in the expression. }") → text8LaTeX("\text{Identify the constant term(s) in the expression, if any.}") → text10LaTeX((((((("\textcolor{#000099}{" * pencils) * "}\text{ packs of pencils; }\textcolor{#000099}{") * cards) * "}\text{ packs of index cards; a }\textcolor{#000099}{\$") * discount) * "}\text{ discount}")) → ProblemLaTeX((((((("\text{Combining the terms, the expression that represents Nia’s purchase is \textcolor{#000099}{" * pencils) * "p+") * cards) * "c –") * discount) * "}.")) → text5LaTeX((((((((((((("\text{The expression representing Nia’s purchase is }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{. Terms can be a number,}\cr\text{a variable, or the product of a number and variable(s). }\cr\text{The terms are }\textcolor{#000099}{") * pencils) * "p}\text{, }\textcolor{#000099}{") * cards) * "c}\text{, and }\textcolor{#000099}{–") * discount) * "}.")) → text7LaTeX((((((((((("\text{A coefficient is a number multiplied by a variable in an algebraic expression. }\cr\text{In the expression }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{, the coefficients are }\textcolor{#000099}{") * pencils) * "}\text{ and }\textcolor{#000099}{") * cards) * "}.")) → text9LaTeX((((((((("\text{A constant is a quantity that does not change. }\cr\text{In the expression }\textcolor{#000099}{" * pencils) * "p + ") * cards) * "c – ") * discount) * "}\text{, the constant is }\textcolor{#000099}{–") * discount) * "}.")) → text11LaTeX("\text{Move the slider to solve the problem.}") → text0
AI Drawing Prompt Reference
Create an educational diagram for an algebra word problem. Show a central expression like "3p + 2c – 5" with colored labels for terms, coefficients, and constants below it. Include a slider control to adjust values dynamically. Use a clean background with clear mathematical symbols and explanatory text, suitable for classroom use.
The prompt above was compiled from the original drawing commands and is for reference only.