7.4.a what it means to you
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InDesign Notes1. This is a list
InCopy Notes1. This is a list Bold, Italic, Strickthrough.
130
195
260
2O 4 6
65
8Time (h)
Dis
tan
ce (m
i)
What It Means to YouYou will identify a constant rate of change and represent this rate using different representations.
UNPACKING EXAMPLE 7.4.A
The distance Michael travels may be represented by the equation, d = 65t, where d represents the distance, in miles, and t represents the number of hours driven.
Identify the constant rate of change, and represent the rate of change, using a table and graph.
Time(h) 1 2 3 4
Distance (mi) 65 130 195 260
Distance traveled _____________ Number of hours = 65 __ 1 = 130 ___ 2 = 195 ___ 3 = 260 ___ 4
The constant rate of change is 65 miles per hour.
What It Means to YouGiven a rate, you can find the equivalent unit rate by dividing the numerator by the denominator.
UNPACKING EXAMPLE 7.4.B
Lisa hikes 1 _ 3 mile every 1 _ 6 hour. How far does she hike in 1 hour?
1 _ 3 _
1 _ 6 = 1 _ 3 ÷ 1 _ 6
= 1 __ 3 1 ·
2 6 __ 1
= 2 miles
7.4.A
Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.
Key Vocabularyproportion (proporción)
An equation that states that two ratios are equivalent.
proportional relationship (relación proporcional) A relationship between two quantities in which the ratio of one quantity to the other quantity is constant.
rate of change (tasa de cambio) A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
unit rate (tasa unitaria) A rate in which the second quantity in the comparison is one unit.
7.4.B
Calculate unit rates from rates in mathematical and real-world problems.
Key Vocabularyrate (tasa)
A ratio that compares two quantities measured in different units.
unit rate (tasa unitaria) A rate in which the second quantity in the comparison is one unit.
Grade 7 Unpacking the TEKS6
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