- Extract relevant information from word problems and interpret mathematical notation in real-world contexts
- Apply problem-solving strategies such as breaking down complex problems, using trial and error, pattern recognition, and logical reasoning
- Utilize technology like graphing calculators, spreadsheets, and mathematical software to enhance problem-solving abilities
- Evaluate the reasonableness of a claim and rewrite quantitative statements to improve clarity
- Interpret data from graphs, charts, and tables to solve mathematical problems
The Shopkeeper’s Dilemma
Meet Francisco, an art supplies store owner. He sells two main items in his shop: Canvases and Paintbrushes. He sells each canvas for [latex]$25[/latex] and each paintbrush for [latex]$10[/latex]. He spends [latex]$10[/latex] to stock each canvas and [latex]$6[/latex] to stock each paintbrush.
For this activity, we’ll step into Francisco’s shoes and try to calculate his profit. Let’s start with the data from last month:
- Canvases: [latex]350[/latex] units sold
- Paintbrushes: [latex]500[/latex] units sold
You’ve learned a variety of problem-solving strategies, from reading carefully and identifying key information to visualizing the problem and using logical reasoning. Now, let’s put those strategies into practice with this real-world application of mathematics.
Fransisco wants to calculate the total profit he made last month. Like in real life, this problem won’t explicitly tell you which formula or procedure to use. Instead, you’ll need to identify the necessary steps and information and choose the most suitable problem-solving strategy.
To begin, let’s understand the context: Fransisco runs an art supplies store where he sells two main items – Canvases and Paintbrushes. He sells each canvas for [latex]$25[/latex] and each paintbrush for [latex]$10[/latex]. He spends [latex]$10[/latex] to stock each canvas and [latex]$6[/latex] to stock each paintbrush.
Now, what are we asked to find or solve? We need to calculate the total profit James made last month. To do this, we’ll need to identify and use the key information provided.