7.4.a what it means to you

1
130 195 260 2 O 4 6 65 8 Time (h) Distance (mi) What It Means to You You 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. 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 Vocabulary proportion (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.

Upload: others

Post on 08-Jan-2022

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: 7.4.A What It Means to You

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

DO NOT EDIT--Changes must be made through "File info"CorrectionKey=A

7_MTXESE050877_UTEK.indd 6 30/01/13 11:51 PM