tangent-lines-and-circles

Let's explore, identify, and describe the relationship between a circle and a tangent line and why the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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Learning Standards (High School Geometry: Circles):

Understand and apply theorems about circles.

HSG.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

What is a tangent line to a circle?

Why is a tagent line and a radius perpendicular?

How many times does a tangent line cross a circle?

Image Credit: Emojis provided free by http://emojione.com

Our lessons are perfect for flipped classroom math teachers and students. This lesson is aligned with the common core learning standards for math and the SAT math curriculum as well.

MashUp Math is a great free resource for math students, parents, and teachers. Our lessons are a great resource for struggling students, flipped classroom educators, and homeschool math students.

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Our Mission: MashUp Math is our creative solution to reviving students' passion and interest for learning mathematics. As young educators, we know that all students learn math differently and that a one-size-fits-all approach is simply ineffective. The idea that the ability to understand mathematics is reserved for a select few did not sit well with us.

In addition to sharing free teacher resources (which are teacher created resources) in the form of teacher worksheets, we share new YouTube math videos every week that help math teachers and students to better understand mathematics and the common core. Our lessons can be aligned with the common core standards for common core math and are immensely popular with flipped learning educators and anyone experimenting with flipped classroom learning.

As educators, we know what it takes to be a super math teacher and that we can’t always do it alone. In addition to our cool math videos, we share articles, blogs, inspirational quotes, teacher math worksheets, and math worksheets. Whether you teach in the flipped classroom, operate in blended education or online blended learning, or are interested in finding cool math online, MashUp Math will have something for you!

Many students think of us as a math tutor online or as their on-demand online tutor. Others trust us for all things related to online math education—coming to use when they find themselves thinking “I don’t understand my homework assignment! and need some homework help!

It is also a part of our mission to make progressive steps in mathematics education. For one, our content is created with the goal of moving students from a fixed mindset to a growth mindset. We also aim to meet the unique needs of ESL math students and support math for girls as well.

Many of our users serve as a special education teacher and use our cool videos to support their special education students with special needs. Our free online math lessons are also high adaptable to your homeschool curriculum and should be added to your list of free homeschool resources.

We are also very involved in the edtech world and are very popular with Google Classroom educators, Math Games Classroom Educators, and teachers who support the use of iPad for education!

So if you could use some help with everyday math and are a student with a unique learning style or learning styles—like Visual Auditory Learning! Or if you’re tired of math games and are more interested in an easy-to-follow tutorial, check us out and learn math with us. No matter your school’s standards of learning, our YouTube Math Videos Lessons will work for you!

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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

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

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

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

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Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!