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Random Sampling

Grade 7: Learn to use representative random samples to draw cautious inferences.

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Beginner 15–20 minutes Statistics & Probability
Statistics & Probability Page 3 of 8
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At a Glance

Random Sampling
Binder SectionStatistics & Probability
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can I use representative random samples to draw cautious inferences and explain why my method works?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

4,327 = 4,000 + 300 + 20 + 7

Goals

Learning Targets

  • I can identify the important quantities and representations in Random Sampling.
  • I can apply an accurate strategy and show each step.
  • I can explain and verify my conclusion.
Click each word

Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Survey 30 randomly selected students from every grade.

1

Selection is random and covers grades.

Notice and correct

Common Misconceptions

Using a rule before identifying what the quantities represent

Label the information and connect the rule to a model.

Skipping intermediate steps

Show equivalent steps so an error can be located and corrected.

Accepting an unreasonable result

Estimate, substitute, or compare with the original context.

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Probability, Inference, and Regression

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Before you try

State the main idea of Random Sampling in your own words and give one example.

Picture your planUse the picture to organize what you know before you solve.
What do Iknow?Which rulefits?What must Ifind?

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Practice with support

Solve a Grade 7 Random Sampling problem chosen by your teacher. Explain the strategy after every step.

Picture the parts and the wholeUse the picture as you work through each step.
equal partscompare the shaded part with the whole

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Show what you know

Create and solve a new Random Sampling example using different values.

Picture your planUse the picture to organize what you know before you solve.
What do Iknow?Which rulefits?What must Ifind?

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Challenge: Create a real-life situation involving Random Sampling with at least two constraints. Solve it in two ways, compare the methods, and explain which is more efficient.

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Success Criteria

Before you begin, I can…

  • I can represent Random Sampling accurately.
  • I can choose and carry out an efficient strategy.
  • I can justify each step and verify the result.
  • I can apply the idea in a new context.
1
Question 1

What should happen first in a Random Sampling problem?

2
Question 2

Which response gives the strongest evidence of understanding?

3
Question 3

What is an effective accuracy check?

4
Question 4

Why should equivalent steps be shown?

5
Question 5

What should happen after finding a mistake?

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Lesson Complete

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You reviewed the lesson, practiced the skill, and completed the mastery check.

Next Lesson: Comparing Populations → Back to Binder Topics

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