#solving exponents

Unit 10: Part 4

Application Problems

*each pic own problem

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Exponents

Investment exponent problem

Increase of 1.35% interest per year

f(x) = a(1.0135)^x

Or a(1 + 0.0135)^x

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Compound Interest

Always simplify the (1 + r/n) part

Will lose credit otherwise if equation is an answer

Exponent Normal

Exponent e^x

-Half Life

Newton’s Cucking Law of Cooling

Be very aggressive in labelling

It may look like this..

Or it may decide it wants to stab you and look like this

Key:

Determine known variables

Whatever is left is unknown

Unlike with Decibel and Richter test, you don’t need to keep 2 different equations in your head.

Think: PROCESS OF ELIMINATION

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LOGS

Richter and Decibel (Lv2)

Richter Scale

2 things in mind

It’s a hot mess.

Remain calm, it’s like any other new equation. This takes time to sort out. Then you’re like AHA!

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Note: 10^-4 on bottom

Variables set up:

Example 1: know mag, want strength ratio

m (sub 1) = magnitude of ocean

m (sub 2) = magnitude of city

I (sub 1) = intensity of ocean ??

I (sub 2) = intensity of city ???

Strengh ratio = ???

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Equation: Richter scale and..

ratio of strength =

I (sub 1) / I (sub 2)

Strategy:

Want: strength ratio

Problem: no intensity #’s

Solution: solve for intensity

Later: solve for strength ratio

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Example 2: know 1 mag + strength ratio, want other mag

m (sub 1) = magnitude of ocean ???

m (sub 2) = magnitude of city

I (sub 1) intensity of ocean ???

I (sub 2) intensity of city ???

strength ratio = #

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Equations used: same + …

I (sub 2) = I (sub 1) * strength ratio

Then solve for m (sub 2) with that

Aka. Solve for easy stuff the work up

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Solve for magnitude

Decibel

Example 1: 2 diff decibels, want ratio of intensity

B (sub 1) = sound of drill

B (sub 2) = sound of whisper

I (sub 1) = intensity of drill ??

I (sub 2) = intensity of whisper ??

Strength ratio = ???

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Equation: normal one

Strength ratio = B[1] / B [2]

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Strategy: Similar to richter scale

Think: what do I want

Then: what’s in my way

Last: how do I get past it

These are multi part problems that look overwelhming at first seeing all the missing variables. The key is solve what’s easy, then try the tricky stuff. Sometimes you can bs your way through these problems.

Note: 10^-12 is good for helping you find the intensity.

Note: solve what variables you can before popping in numbers.

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Be an illustration

Numerous grown-ups say they loathed math in school, as indicated by national surveys. On the off chance that you are one of them, be watchful that you don't impart that demeanor to your kid. Help him enhance his demeanor toward math by demonstrating to him that you are sure while finishing routine errands like numbering cash from a school store raiser, adjusting your checkbook or finishing your government form. You can likewise call attention to the significance of math in various callings including engineering, solution, style plan, eatery administration, and PC programming.

Help your students/kids use math consistently

Urge your child to take care of issues including math outside of school. In the market, request that she make sense of the cost of four jars of fish. In the auto, ask her to what extent it will take to go to your destination in light of your velocity. In the toy store, solicit her to ascertain the cost from a marked down the toy and to what extent it will take to set aside her remittance to purchase it.

Acquaint yourself with learning gauges

It's essential to realize what math abilities your child ought to learn in his present evaluation. You can get to the learning norms for your kid's evaluation on the Web website for your state branch of training or request that your child's educator plot them for you. On the off chance that you realize what your child will realize, it will be simpler to supplement those aptitudes with exercises at home.

Screen your kid's math homework

Do your kid's math assignments call for repetition work or does the instructor incorporate an inventive "issue of the week" that tests understudies' comprehension of numerical ideas? Ask your child's instructor which strategies he uses to help understudies turn out to be more alright with math.

Pay consideration on subtle elements

You can help your student with math homework by ensuring she demonstrates all her work when unraveling conditions and checks for right estimations and answers. It's a smart thought to farthest point diversions and put aside the same time each day for homework.

Play math amusements at home

There are numerous amusements your students can play that include math. Starting in the basic years, understudies can figure out how to appreciate math by playing recreations, for example, chess, dominoes, cribbage, checkers, Yahtzee, and backgammon. These games are related to adding fractions, subtractions, multiplication and division.

Perused books that join math

It is critical that you know how to achieve your understudies in each subject. However, math can be the most befuddling. Utilizing the tips underneath, you ought to have the capacity to achieve your understudies regardless of their learning style. Take a class in educating with innovation, and change how your understudies will learn math. You may refer to www.quickmath.com to learn to find different algebra rules about greatest common factor, solving for x, multiplying fractions, etc.

Use Pizza Models and Other Visual Aids

Most youngsters learn outwardly, and even those that learn in different ways handle ideas simpler with visual guides. Get overlaid pictures of pizzas or pies, and cut them into cuts. Make sure to get additional duplicates for the diverse fractions. Use them on the board as you record the distinctive divisions. Use them as models for expansion and subtraction. You can even make littler duplicates for the understudies to utilize.

Another extraordinary visual guide to utilizing is collapsed paper. Take a square or rectangular sheet of paper, and crease it up into various fractions. You can have your understudies take after along utilizing their particular sheets of paper. Record the divisions in each distinctive fraction. Demonstrate your understudies how every different piece identifies with the entirety.

Clarify Key Terms and Basic Concepts

Your understudies will get a handle on divisions less demanding on the off chance that they know the key terms and essential ideas that accompany fractions. Give your understudies the words "numerator" and "denominator," and characterize them for your understudies. Call attention to the numerator and denominator infractions you compose on the board or make with visual guides. Demonstrate to them how the numerator and denominator become possibly the most important factor with fundamental ideas like including and subtracting fractions. Bear in mind to utilize those visual models as an instructing device.

A well-illustrated example can easily guide the students to find greatest common factor, the value of x and y, solving exponents and more.

Take as much time as necessary

In spite of the fact that you have a lot of different ideas to cover in both math and different subjects, it's vital that you do whatever it takes not to surge your understudies' learning along as much as you can. Work through it gradually, and spread everything completely. Make yourself accessible to understudies as yet having issues. You need your understudies to succeed, so give them each chance to do as such. Figure out how to educate online with a course, and you can make additional help understudies can get to both in and outside the classroom.

Undertaking to Use When Teaching Fractions