Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bedroom that measures 12 feet by 13 feet. He multiples 12x14=168 to get an exact answer of how much border he needs. He concludes that he does not have enough border for the whole job. 1. Tell how you can critique Jason's reasoning. 2. Critique Jason's Reasoning. 3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another room. Explain why his Reasoning to use an overestimate does or does not make sense.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bedroom that measures 12 feet by 13 feet. He multiples 12x14=168 to get an exact answer of how much border he needs. He concludes that he does not have enough border for the whole job.
1. Tell how you can critique Jason's reasoning.
2. Critique Jason's Reasoning.
3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another room. Explain why his Reasoning to use an overestimate does or does not make sense.
Todd has a new spool of wire, he needs 48 pieces of wire each 22 ft long. He estimates that he needs 5 x 20 equals 1000 feet and he concludes that 1 spool with a 1000 feet will be enough.
4. make sense and persevere: Does it make sense for Todd to find an overestimate or an underestimate to decide if one spool is enough? why?
5. Reasoning: should Todd use multiplication to estimate the total amount of wire he needs? Explain your reasoning.
6. Be Precise: Did Todd correctly calculate the appropriate estimate? Explain
7. Critique Reasoning: Explain if Todd's conclusion is logical. How did you decide? If it is not logical, what can you do to improve his reasoning?
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