### Polynomial Teacher Resources

Chapter Name: Real Numbers. Time Allotted For The Lesson. This lesson is divided across five modules. It will be completed in five class meetings.

**Math lesson plan for class 9**

Prerequisite Knowledge. Short Description Of The Lesson. They will also recall the properties of rational and irrational numbers and study a few theorems pertaining to these. Audio Visual Aids. Relevant Modules from Teach Next. Other Audio Visual Aids. Aids No technical.

Teacher-Student Activities. Warm-up Session. Begin the lesson by recalling the concepts pertaining to the real number system. You may show the diagram of the real number system and ask the students the definitions of different types of numbers.

You may also conduct a quiz covering the concepts, such as the properties of rational and irrational numbers and representing rational and irrational numbers on a number line. Real Number System.

Provide the historical and biographical details about Euclid. He was a Greek mathematician, who lived around BC and was popularly known as Euclid of Alexandria. Euclid is also known as the Father of Geometry owing to his significant contribution to the subject. Arithmetic and Applying the Fundamental Theory of Arithmetic, to the students. Thereafter, give questions to the students to calculate the HCF and LCM of given numbers using the prime factorisation method. Get the students to solve these questions in their maths exercise books.

Presentations: Rational and Irrational Numbers. In this activity, learners will make presentations on the theorems pertaining to irrational and rational numbers. Divide the class into groups and ask them to make presentations on the following theorems:. Group A : Prove that if the prime number p divides a 2then p divides a, where a is a positive number. Then x has a decimal expansion which terminates. Then, x has a decimal expansion which is non-terminating repeating recurring. Supplemental Activities.

Ask the students to find out about the RSA algorithm, an internet encryption and authentication system, and the use of prime numbers in it. Expected Outcome.This unit is a brief introduction to the world of Polynomials. We will add, subtract, multiply, and even start factoring polynomials.

Click on the lesson below that interests you, or follow the lessons in order for a complete study of the unit. As you study this unit, if you find that you need more help, please visit the Algebra Class E-courses. You will find many examples on video, and a lot of practice problems with step-by-step answer keys. A Polynomial is a finite sum of terms. This includes subtraction as well, since subtraction can be written in terms of addition.

Let's take a look at a couple of examples and this will make more sense. As you can see from the examples above, we are simply adding or subtracting two or more terms together. Let's take a look at one more definition! The degree of a polynomial with one variable is the highest power to which the variable is raised. Take a look!

Polynomials in one variable should be written in order of decreasing powers. If this is the case, the first term is called the lead coefficient. The exponent of this first term defines the degree of the polynomial. Now, for one last definition, which is actually a review! If two or more terms have exactly the same variablesthen they are called like terms.

If you are new to Polynomials, I would suggest starting with adding polynomials. We have a new platform with updated videos and worksheets. Click here to login to our Learn Worlds platform. Algebra Class. Comments We would love to hear what you have to say about this page! Need Help? Try This Online Calculator! Let Us Know How we are doing!In this lesson students need to be able to do the following:.

Problem 1 is a warm-up problem. It helps to remind my students how to find the volume of a box by multiplying length times width times height. Once they complete this task I will hand each pair of students an 8.

I want my students to be able to work with a physical model. I also provide each student a Graphing Calculator, and an individual white board with a marker to write down their thoughts until they are ready to record their actual method on paper.

## lesson plan 1-intro polynomials-revised

The primary problem solving task asks students to find the maximum volume of an open topped box. I will have my students work with their table partners for this task. The task is exploratory and my students may use any method that makes sense to them to determine the dimensions that they think maximize the volume of the box.

Teacher's Note : When I teach this lesson I have not yet taught my students how to multiply polynomial. Some know how, but I expect many of my students will work with a formula written in factored form. I allow my students to use a calculator for this problem. I will, however, be on the lookout for students who are engaging in trial-and- use of the calculator.

I want them to work with a plan, whether they use a table, a formula, a graph, etc. This task has a soft launch. Once all students are working, I continually walk around the room to monitor their progress. At first, I am observing to make sure that all students write correct expressions for the length, width and height of a box using x as a parameter. The dimensions should be the following:.

Once I have questioned students and every group seems to have the right expressions and equation, I will engaging with pairs more directly to question them about their ideas for maximizing the volume of the box. As I learn about their strategies I will begin selecting groups to share out their methods at the end of the lesson. I will select groups that help the class to recognize and appreciate the different methods that can be used. The final question 4 is meant to challenge my students to reason.

Students are asked to predict the volume of the open box if the measurements of the sides are doubled. If none of my students demonstrate a method using the graphing calculator, then I will demonstrate how ot use the calculator in a way that is similar to that shown in the video below.Lesson Plan. Chapter Name: Areas of Parallelograms. And Triangles. Prerequisite Knowledge:.

Short description of lesson. In this lesson, learners will study about the geometrical figures that have the same base and lie between the same parallels. They will also learn that the parallelograms having the same base and lying between the same parallels are equal in area, while the different geometrical figures having the same base and lying between the same parallels may not be equal in area.

They will also learn to prove various theorems related to the areas of parallelograms and triangles. Relevant Modules from TeachNext. Supplemental Activities. Ask the students to make various geometrical figures by sticking matchsticks. A few figures should have the same base and lie between the same parallels. While, the other figures should have the same base, but they should lie between different parallels.

Alcatel joy tab rootAdditionally, the students should make figures that lie between the same parallels but have different bases. They should bring these matchstick figures to the classroom and then discuss various theorems learnt in the lesson. Expected Outcome. After completing the lesson, learners should know about the figures that have the same base and lie between the same parallels. They should also know that the parallelograms having the same base and lying between the same parallels are equal in area, while the different geometrical figures, having the same base and lying between the same parallels may not be equal in area.

They should also be able to prove various theorems related to the areas of parallelograms and triangles. Student Derivable. Class Test and extra sums from Teach Next Module and. Prerequisite Knowledge.

Short Description Of The Lesson. Audio Visual Aids. Relevant Module from TeachNext. Then, ask them to record the lengths of the sides of these objects.Polynomial Change If incorrect, please navigate to the appropriate directory location.

See more testimonials Submit your own. Get 10 Days Free. Showing 1 - of 1, resources. Lesson Planet. For Students 7th - 11th. Though it "sounds like a really fancy word," polynomials prove to be no match for Sal's mathematical skills.

After defining the term and providing a few examples, Sal works through a few equations that add or subtract polynomials, Get Free Access See Review. For Students 7th - 9th. Adding two polynomials begins with simplifying when possible. Sal demonstrates the process he uses to combine like terms and explains why the process works. This video would be great for those who need a quick refresher. For Students 9th - 11th. Sal completes a practice problem to reinforce and apply the concepts learned in previous Khan videos on multiplying polynomials.

This would be a great practice problem to do with your students. While explaining how to add polynomial expressions with multiple variables, Sal uses academic vocabulary and a clear thinking process. This video is relatively short and would be appropriate for students working on homework or prepping For Students 9th - 12th Standards.

Focusing on the long division of polynomials, these problems challenge students to factor, graph, and describe polynomials of varying For Teachers 8th - 11th Standards. For Students 8th - 9th. To subtract two polynomials Sal demonstrates that you add the opposite of the second term, and then combine like terms to solve. How do you find an opposite term?

Simply multiply the polynomial by This video is very clearly explained For Students 8th - 10th. Some polynomials, when multiplied, result in a special product. Sal uses the distributive property to demonstrate the multiplication process. He then explains why some polynomials cannot be completely simplified. For Teachers 9th - 12th Standards.

Investigate polynomial multiplication with the TI-nspire handheld calculator. Using the applications on this calculator, learners explore multiplication of numbers, binomials, a binomial by a polynomial, and polynomials. The dynamic For Teachers 6th - 12th. Subtract polynomials? First off find the additive inverse of the number you are subtracting. Next rewrite the polynomials one on top of the other. Make sure to line up the like terms and then write in placeholders.

Now add the termsPolynomial Change If incorrect, please navigate to the appropriate directory location. See more testimonials Submit your own.

Retro west ham badgeGet 10 Days Free. Showing 1 - of 1, resources. Lesson Planet. For Students 7th - 11th. Though it "sounds like a really fancy word," polynomials prove to be no match for Sal's mathematical skills. After defining the term and providing a few examples, Sal works through a few equations that add or subtract polynomials, Get Free Access See Review.

For Students 7th - 9th.

Adding two polynomials begins with simplifying when possible. Sal demonstrates the process he uses to combine like terms and explains why the process works. This video would be great for those who need a quick refresher. For Students 9th - 11th. Sal completes a practice problem to reinforce and apply the concepts learned in previous Khan videos on multiplying polynomials. This would be a great practice problem to do with your students.

While explaining how to add polynomial expressions with multiple variables, Sal uses academic vocabulary and a clear thinking process. This video is relatively short and would be appropriate for students working on homework or prepping For Students 9th - 12th Standards.

Focusing on the long division of polynomials, these problems challenge students to factor, graph, and describe polynomials of varyingIt includes definition of a polynomial in one variable, its coefficients, with examples and Clip makes it super easy to turn any public video into a formative assessment activity in your classroom. Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip.

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans. With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach. Carry out a quickfire formative assessment to see what the whole class is thinking. Team Up. Student teams can create and share collaborative presentations from linked devices.

Base64 decode exampleAdd text or drawings AND annotate an image! Using SpiralEducation in class for math review. Student approved! Thumbs up! Absolutely amazing collaboration from year 10 today. The Team Up app is unlike anything I have ever seen. So impressed! Join using code Log in.

P00d9 codeActivity overview:. Algebra II Textbook. Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans. Students enter a simple code. You play the video. The students comment. You review and reflect. Share on:. Ready to see what else can do? Quickfire Carry out a quickfire formative assessment to see what the whole class is thinking.

Discuss Create interactive presentations to spark creativity in class. Team Up Student teams can create and share collaborative presentations from linked devices. Clip Turn any public video into a live chat with questions and quizzes. Now it's your turn Sign up. Spiral Miss Ord ordmiss Absolutely amazing collaboration from year 10 today.

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