2.9 I Can See - Can't You? 2.9 Puedo ver, ¿no es así? 2.9 Ninaweza Kuona - Je! 2.9 Ndashobora kubona - Ntushobora? 2.9 Waan arki karaa - miyaadan arki karin?

Last updated over 3 years ago

159 questions

Note from the author:

Utilizes OUR lessons

2.9 I Can See - Can't You? 2.9 Puedo ver, ¿no es así? 2.9 Ninaweza Kuona - Je! 2.9 Ndashobora kubona - Ntushobora? 2.9 Waan arki karaa - miyaadan arki karin?

Last updated over 3 years ago

159 questions

Note from the author:

Utilizes OUR lessons

Which Donut are you?
Donut kee baad tahay?
Wewe ni Donut gani?
Ninde Donut?
¿Qué Donut eres?
__________

What is today's date?

What is the title of the lesson you will be working on today?

Any other information I need to know to help you be successful today?

Jump Start
Anza
Buen inicio
Simbuka Tangira
Bood Bilow

Which one doesn't belong and why?

Learning Goal
Objetivo de aprendizaje
Intego yo Kwiga
Lengo la Kujifunza
Hadafka Barashada

Use understanding of linear functions to find the average rate of change for linear and exponential functions.

Extend the concept of the average rate of change to the slope of the secant line through two points of a function.

Understand and find the average rate of change of a function in an interval.

Develop a formula for the average rate of change for any function.

How can I find the average rate of change of a function that is not linear?
What does the average rate of change mean?

Launch
Uzinduzi
Lanzar
Gutangiza
Daahfurka

Explore
Baadh
Chunguza
Shakisha
Explorar

Discuss
Discutir
Muganire
Jadili
ka munaaqashoodid

Takeaways
imibare
hesabu za kuchukua
matemáticas para llevar
Qaadashada

Average rate of change of a function over an interval is _______

Celceliska heerka isbeddelka shaqada ee muddada u dhexaysa waa _______

Kiwango cha wastani cha mabadiliko ya chaguo za kukokotoa kwa muda ni _______

Check for Understanding:
Angalia Uelewa:
Hubi Fahamka:
Reba kugirango ubyumve:
Verificar comprensión:

Find the average rate of the change of: f(x) = 2(3^x) over the interval [-1, 2].

Lesson Summary
Muhtasari wa Somo
Resumen de la lección
Incamake y'Isomo
Soo koobid Cashar

In this lesson, we learned to find the average rate of change of a function in an interval. We learned that the average rate of change is calculated by finding the change y in and dividing by the change in x. Sometimes an equation is used to calculate the y-values at the beginning and end of the interval, and sometimes a graph is used to find the heights at the beginning and end of the interval. In either cases, the y-values are subtracted and then that amount is divided by the width of the interval, or the difference between the x-values.

En esta lección, aprendimos a encontrar la tasa promedio de cambio de una función en un intervalo. Aprendimos que la tasa de cambio promedio se calcula encontrando el cambio y en y dividiendo por el cambio en x. A veces, se usa una ecuación para calcular los valores de y al principio y al final del intervalo, y a veces se usa una gráfica para encontrar las alturas al comienzo y al final del intervalo. En cualquier caso, los valores de y se restan y luego esa cantidad se divide por el ancho del intervalo, o la diferencia entre los valores de x.

Muri iri somo, twize gushakisha igipimo mpuzandengo cyo guhindura imikorere mugihe gito. Twize ko impuzandengo yimpinduka zibarwa mugushakisha impinduka y muri no kugabana nimpinduka muri x. Rimwe na rimwe, ikigereranyo gikoreshwa mu kubara y-gaciro mu ntangiriro no ku iherezo ry’intera, kandi rimwe na rimwe igishushanyo gikoreshwa mu gushakisha uburebure ku ntangiriro no ku iherezo ry’intera. Muri ibyo aribyo byose, y-agaciro yakuweho hanyuma ayo mafaranga agabanijwe nubugari bwintera, cyangwa itandukaniro riri hagati ya x-gaciro.

Katika somo hili, tulijifunza kupata wastani wa kasi ya mabadiliko ya chaguo za kukokotoa katika muda. Tulijifunza kuwa kiwango cha wastani cha mabadiliko hukokotolewa kwa kutafuta badiliko y ndani na kugawanya kwa mabadiliko katika x. Wakati mwingine equation hutumiwa kukokotoa thamani za y mwanzoni na mwisho wa muda, na wakati mwingine grafu hutumiwa kupata urefu mwanzoni na mwisho wa muda. Katika visa vyote viwili, thamani za y hupunguzwa na kisha kiasi hicho hugawanywa kwa upana wa muda, au tofauti kati ya maadili ya x.

Casharkan, waxaan ku barannay in aan helno celceliska heerka isbeddelka shaqada muddada u dhaxaysa. Waxaan barannay in celceliska heerka isbeddelka lagu xisaabiyo in la helo isbeddelka y oo loo qaybiyo isbeddelka x. Mararka qaarkood isla'egta ayaa loo isticmaalaa in lagu xisaabiyo y-qiyamka bilowga iyo dhammaadka muddada u dhaxaysa, mararka qaarkoodna garaaf ayaa la isticmaalaa si loo helo dhererka bilowga iyo dhammaadka barafka. Labada xaaladoodba, y-qiimaha waa la gooyaa ka dibna qaddarkaas waxaa loo qaybiyaa ballaca inta u dhaxaysa, ama farqiga u dhexeeya qiimaha x.

Extra Practice
Practica extra
Imyitozo y'inyongera
Mazoezi ya Ziada
Layli dheeraad ah

Reflection:
Milicsi:
Tafakari:
Ibitekerezo:
Reflexión:

Additional Resources
Ibikoresho by'inyongera
Rasilimali za Ziada
Recursos adicionales
Khayraad Dheeraad ah

Rate of Change

2.9 I Can See - Can't You? 2.9 Puedo ver, ¿no es así? 2.9 Ninaweza Kuona - Je! 2.9 Ndashobora kubona - Ntushobora? 2.9 Waan arki karaa - miyaadan arki karin?

2.9 I Can See - Can't You? 2.9 Puedo ver, ¿no es así? 2.9 Ninaweza Kuona - Je! 2.9 Ndashobora kubona - Ntushobora? 2.9 Waan arki karaa - miyaadan arki karin?

What is today's date?

What is the title of the lesson you will be working on today?

Any other information I need to know to help you be successful today?

Jump Start

Anza

Buen inicio

Simbuka Tangira

Bood Bilow

Which one doesn't belong and why?

Learning Goal

Objetivo de aprendizaje

Intego yo Kwiga

Lengo la Kujifunza

Hadafka Barashada

Launch

Uzinduzi

Lanzar

Gutangiza

Daahfurka

Explore

Baadh

Chunguza

Shakisha

Explorar

Discuss

Discutir

Muganire

Jadili

ka munaaqashoodid

Takeaways

imibare

hesabu za kuchukua

matemáticas para llevar

Qaadashada

Check for Understanding:

Angalia Uelewa:

Hubi Fahamka:

Reba kugirango ubyumve:

Verificar comprensión:

Find the average rate of the change of: f(x) = 2(3^x) over the interval [-1, 2].

Lesson Summary

Muhtasari wa Somo

Resumen de la lección

Incamake y'Isomo

Soo koobid Cashar

Extra Practice

Practica extra

Imyitozo y'inyongera

Mazoezi ya Ziada

Layli dheeraad ah

Reflection:

Milicsi:

Tafakari:

Ibitekerezo:

Reflexión:

Additional Resources

Ibikoresho by'inyongera

Rasilimali za Ziada

Recursos adicionales

Khayraad Dheeraad ah

What is today's date?

What is the title of the lesson you will be working on today?

Any other information I need to know to help you be successful today?

Jump Start

Anza

Buen inicio

Simbuka Tangira

Bood Bilow

Which one doesn't belong and why?

Midkee ayaan ka tirsanayn maxaase keenay?

Ni yupi asiyehusika na kwa nini?

Ninde utarimo kandi kuki?

¿Cuál no pertenece y por qué?

Learning Goal

Objetivo de aprendizaje

Intego yo Kwiga

Lengo la Kujifunza

Hadafka Barashada

Find the average rate of the change of: f(x) = 2(3^x) over the interval [-1, 2].

What was the change in the home’s value from 2007 to 2017?
The average rate of change is defined as the change in y (or f(x)) divided by the change in x.

Waa maxay isbeddelka qiimaha guriga laga bilaabo 2007 ilaa 2017?
Celceliska heerka isbeddelka waxa lagu qeexaa is beddelka iny (ama f(x)) oo u qaybsan yahay isbeddelka x.

Ni mabadiliko gani katika thamani ya nyumba kutoka 2007 hadi 2017?
Kiwango cha wastani cha mabadiliko kinafafanuliwa kama badiliko iny (au f(x)) ikigawanywa na mabadiliko katika x.

Ni irihe hinduka ryagaciro k'urugo kuva 2007 kugeza 2017?
Impuzandengo yikigereranyo cyimpinduka isobanurwa nkimpinduka iny (cyangwa f (x)) igabanijwe nimpinduka muri x.

¿Cuál fue el cambio en el valor de la vivienda de 2007 a 2017?
La tasa de cambio promedio se define como el cambio en y (of (x)) dividido por el cambio en x.