Estimating T-Shirt Orders for Field Day: Proportional Reasoning

This lesson teaches how to make estimates about a population with unknown characteristics using proportional reasoning. It covers the importance of random sampling for representative samples and valid inferences. The video explains solving proportions through equivalent fractions and cross-multiplication. It emphasizes that estimates are predictions, not exact values. A practical example of ordering t-shirts for a school event illustrates applying proportions to real-world scenarios. The lesson concludes with a summary of key points on using proportional reasoning for population estimates.

What is a random sampling method and why is it important for obtaining a representative sample?

Explain how to solve a proportion using cross-multiplication.

What does it mean when inferences made from random samples are described as estimates?

How can you use a sample of t-shirt sizes to estimate the number of small t-shirts needed for a population of 3,000 students?

Calculate the number of small t-shirts to order if 26 out of 100 students prefer small sizes.