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Weather Station: Reading Rules

Analyze weather-station tables, graphs, and recording rules to decide whether each input has exactly one output.

Grade 8MathInteractive · Printable

Aligned to8.F.A.1

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

Students determine whether recording rules assign exactly one output to each allowed input.
Students connect a function's graph to its set of input-output pairs.
Students distinguish repeated records from conflicting outputs.

How to use

Use after introducing inputs and outputs. Have students check the stated input before judging each rule, then discuss the final explanation.

Curriculum

Common Core standard covered

8.F.A.1

Understand a function as a rule giving exactly one output for each input, with its graph as the set of input-output pairs.

Preview

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Name Date

Weather Station: Reading Rules

Check how temperature and rainfall rules connect inputs to outputs.

Check the Records

For each rule, decide whether every allowed input has exactly one output.

A station uploads its 6 a.m. reading twice by mistake. The input is the recording time on this date. The output is temperature. Which statement describes the records?

Morning Uploads
Time	Temperature (°C)
6 a.m.	−4
7 a.m.	−1
6 a.m.	−4
8 a.m.	2

A. They define a function because each time has just one temperature.
B. They fail to define a function because one time appears twice.
C. They fail to define a function because some temperatures are negative.
D. They define a function because every temperature must be different.

The station records these pairs as (hours after noon, rainfall in mm): (0, 0), (1, 2), (1, 2), (2, 5), (3, 5). Its graph shows one point for each distinct input-output pair.

How many distinct points are on the complete graph?

A student proposes using daily low temperature as input and daily rainfall as output. Which two dates provide enough evidence that these records do not define that function?