Guiding Questions: What are the guiding questions for this lesson?

The student will be able to use the distance, rate, time, formula (d=rt) to solve real-world problems.
The student will use a graph to represent and interpret data regarding speed versus time at a constant rate of speed.
The student will use a graph to represent and interpret data regarding speed versus time at varying rates of speed.
 How does changes in speed effect distance traveled?
 How does speed affect the time it takes to travel a particular distance?
 How can you use a formula to find the rate of speed given the time and distance traveled by an object?
 How can you use graphs to compare and contrast distance versus time?


Listed below are some of the questions that you may ask during this lesson. The questions you ask will depend on the students' responses. The teacher's focus in this part of the lesson is to have students try and picture the problem in their head and make sense of what is happening in this problem. Your students will come up with a variety of answers. Some example questions you could ask include:
 
1) A helicopter rose vertically from 500 feet to 1,500 feet at a rate of 50 feet per second.  How many seconds did it take the helicopter to make this ascent?

2) A horse ran 60 feet in 1.25 seconds.  What is its speed in feet per second?

3) On our drive we averaged a speed of 72 miles per hour for 4 hours.  How far did we travel?

4) If d=r×t what does r equal?

I am a California certified teacher with multiple degrees and certifications  (B.A., M.Ed, Ed.D in Educational leadership, ESOL, GLAD, and AVID) who has taught Middle school and Upper Elementary school for 15 years and I have been teaching mathematics to homeschoolers from grades k-12, both in-person and online for over 6 years.  I always wanted to be a teacher, and I am living the dream!  Also, I cater to students who struggle with or do not care for math. I say this because Algebra is critically important because it is often viewed as a gatekeeper to higher-level mathematics and it's a required course for virtually every postsecondary school program.  I have 6 basic reasons why I think offering this class is so important.  

1) Algebra is Faster And Better Than “Basic” Math
Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot be solved with only foundational math skills.

2) Algebra is Necessary to Master Statistics and Calculus

While learning one kind of math to learn more kinds of math may not be an immediately satisfying concept, statistics and calculus are used by many people in their jobs. For example, on my other side job as a research person for a local non-profit organization, I use statistics every day. I help departments identify ways to measure their success. In general, statistics are used in certain jobs within businesses, the media, health and wellness, politics, social sciences, and many other fields. Understanding statistics makes us wiser consumers of information and better employees and citizens.

Calculus helps us describe many complex processes, such as how the speed of an object changes over time. Scientists and engineers use calculus in research and in designing new technology, medical treatments, and consumer products. Learning calculus is a must for anyone interested in pursuing a career in science, medicine, computer modeling, or engineering.

3) Algebra May Be a Job Skill Later

A student may be confident they are not going into any career needing statistics or calculus, but many people change jobs and entire careers multiple times in their working life. Possessing a firm knowledge and understanding of algebra will make career-related changes smoother.

4) Algebra Can Be Useful in Life Outside of the Workplace

I have found algebra helpful in making financial decisions. For example, I use algebra every year to pick a health care plan for my family using two-variable equations to find the break-even point for each option. I have used it in choosing cell phone plans. I even used it when custom-ordering bookshelves for our home. 

5) Algebra Reinforces Logical Thinking

I would not use algebra as the only means of teaching logic. There are more direct and effective means of doing so, but it is a nice side-benefit that the two subject areas reinforce one another.

6) Algebra is Beautiful

The beauty of algebra is an optional benefit because one has to truly choose to enjoy it, but algebra provides us with a basic language to describe so many types of real-world phenomena from gravity to the population growth of rabbits. That five letters can be used to describe how an entire category of matter, namely ideal gases, behaves is amazing and beautiful in its simplicity.

There is also a beauty when we start with a complex-looking problem and combine and simplify over and over until we have one value for each variable. The process can be enjoyable and the result immensely satisfying.

Algebra is an important life skill worth understanding well. It moves us beyond basic math and prepares us for statistics and calculus. It is useful for many jobs some of which a student may enter as a second career. Algebra is useful around the house and in analyzing information in the news. It also reinforces logical thinking and is beautiful.

So, keep an open mind about why we learn algebra and look for ways to share its applications with students. Dispel the stigma that it is a boring list of rules and procedures to memorize. Instead, consider algebra as a gateway to exploring the world around us. Those are our top reasons why we learn algebra, and there are plenty more. 

숙제 제공
Homework 
Students will be given worksheets to compete and be prepared to have discussions at the start of the next class. 
수업 외 주당 0 - 1 시간
제공되는 평가
Students will be given a Summative Assessment assignment. The assessment is designed to reinforce the concept of reading and breaking down Math word problems. If students struggle with the assignment, I will be made aware of misunderstandings, and shortcomings of the lesson taught. When "weak" areas are identified on the assignment, I can address during the next available class period and will have students take a short online practice on a fun and interactive website.
제공되는 성적