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Common Core Standards

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4 MB|64 pages

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Are you having trouble getting your students to take effective notes during math lessons? Are you looking for quick activities that can be completed in a math journal or at the end of a lesson as a check for understanding? If so, these activities are for you. Please check out our full-length preview.

These math journal activities/scaffolded notes introduce students to graphing polar coordinates, classical curves, complex numbers, and more, perfect for Pre-Calculus or Integrated Math students. They can be used for introduction of topics or to reflect/review what you have covered in class discussion. The problems listed in this activity packet build nicely on each other if introduced in the order that they appear. Our students enjoy filling them out and organizing them in their math journals so that they can refer back to them throughout the year. These activities are a great way to promote writing in math. Keys are included for reference.

**Introduction to Graphing Polar Coordinates and Classical Curves**

Packet includes the following scaffolded note activities with teacher answer keys:

Label the Degree Measures on the Polar Coordinate System

Label the Radian Measures on the Polar Coordinate System

Polar Coordinate System Terms (Match)

Graph a Polar Coordinate in Radians

Graph a Polar Coordinate in Degrees

How do you Graph Polar Coordinates with a

Negative Angle Value?

Multiple Representations of a Polar Coordinate (Radians)

Multiple Representations of a Polar Coordinate (Degrees)

Graphing Basic Polar Equations

Distance Formula for the Polar Plane

How to use www.desmos.com to Graph Polar Equations

Graphs of Polar Equations

Graphs of Polar Equations (Classical Curves-Rose Curve)

Graphs of Polar Equations (Classical Curves-Lemniscate Curve)

Graphs of Polar Equations (Classical Curves-Limacon Curve)

Graphs of Polar Equations (Classical Curves-Cardiod Curve)

Graphs of Polar Equations (Classical Curves-Spiral of

Archimedes Curve)

Classical Curves Overview (Cut and Paste)

Packet also includes 5 Interactive Notebook activities.

**Polar Coordinates and Complex Numbers**

Packet includes the following scaffolded note activities with teacher answer keys:

Review of Trigonometric Values

Forms of a Linear Equation (Standard/Rectangular, Normal Form, Polar Form)

Changing Polar Coordinates to Rectangular Coordinates

Changing Rectangular Coordinates to Polar Coordinates (x is positive)

Changing Rectangular Coordinates to Polar Coordinates (x is negative)

Example: Changing a Polar Equation to Rectangular Form

Example: Changing Rectangular Form to a Polar Equation

Polar Form of a Linear Equation

Example: Changing a Polar Equation in Linear Form to Rectangular Form

Operations with Complex Numbers

Powers of i

Graphing a Complex Number

Absolute Value of a Complex Number

Polar Form of a Complex Number

Changing a Complex Number to Polar Form in 4 Steps

Graphing a Complex Number in Polar Form

Changing a Number from Polar Form to Rectangular Form

Product of a Complex Number in Polar Form

Quotient of a Complex Number in Polar Form

De Moivre’s Theorem

Steps for Finding the Power of a Complex Number

Steps for Finding the Principle Root of a Complex Number

Packet also includes 12 Interactive Notebook activities.

**Related Products**

**Pre-Calculus Bundle**

**If you like what you see, please click on the "Follow Me" star to learn about new products, sales, and more!

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These math journal activities/scaffolded notes introduce students to graphing polar coordinates, classical curves, complex numbers, and more, perfect for Pre-Calculus or Integrated Math students. They can be used for introduction of topics or to reflect/review what you have covered in class discussion. The problems listed in this activity packet build nicely on each other if introduced in the order that they appear. Our students enjoy filling them out and organizing them in their math journals so that they can refer back to them throughout the year. These activities are a great way to promote writing in math. Keys are included for reference.

Packet includes the following scaffolded note activities with teacher answer keys:

Label the Degree Measures on the Polar Coordinate System

Label the Radian Measures on the Polar Coordinate System

Polar Coordinate System Terms (Match)

Graph a Polar Coordinate in Radians

Graph a Polar Coordinate in Degrees

How do you Graph Polar Coordinates with a

Negative Angle Value?

Multiple Representations of a Polar Coordinate (Radians)

Multiple Representations of a Polar Coordinate (Degrees)

Graphing Basic Polar Equations

Distance Formula for the Polar Plane

How to use www.desmos.com to Graph Polar Equations

Graphs of Polar Equations

Graphs of Polar Equations (Classical Curves-Rose Curve)

Graphs of Polar Equations (Classical Curves-Lemniscate Curve)

Graphs of Polar Equations (Classical Curves-Limacon Curve)

Graphs of Polar Equations (Classical Curves-Cardiod Curve)

Graphs of Polar Equations (Classical Curves-Spiral of

Archimedes Curve)

Classical Curves Overview (Cut and Paste)

Packet also includes 5 Interactive Notebook activities.

Packet includes the following scaffolded note activities with teacher answer keys:

Review of Trigonometric Values

Forms of a Linear Equation (Standard/Rectangular, Normal Form, Polar Form)

Changing Polar Coordinates to Rectangular Coordinates

Changing Rectangular Coordinates to Polar Coordinates (x is positive)

Changing Rectangular Coordinates to Polar Coordinates (x is negative)

Example: Changing a Polar Equation to Rectangular Form

Example: Changing Rectangular Form to a Polar Equation

Polar Form of a Linear Equation

Example: Changing a Polar Equation in Linear Form to Rectangular Form

Operations with Complex Numbers

Powers of i

Graphing a Complex Number

Absolute Value of a Complex Number

Polar Form of a Complex Number

Changing a Complex Number to Polar Form in 4 Steps

Graphing a Complex Number in Polar Form

Changing a Number from Polar Form to Rectangular Form

Product of a Complex Number in Polar Form

Quotient of a Complex Number in Polar Form

De Moivre’s Theorem

Steps for Finding the Power of a Complex Number

Steps for Finding the Principle Root of a Complex Number

Packet also includes 12 Interactive Notebook activities.

**If you like what you see, please click on the "Follow Me" star to learn about new products, sales, and more!

How to earn TPT Credits:

"Earn TpT Credits for purchases on TpT. You get one TpT Credit for every $ you spend on TpT. Thing is, you only get the Credits after you Provide Feedback -- both a fair rating and a fair comment -- on the items that you purchase. We will round up for you, too! If you provide fair feedback on a $4.75 item, you will earn 5 credits. Every 100 Credits is worth $5 that you can apply towards future TpT purchases, but there is no need to wait until you have 100 to redeem them. 50 credits is worth $2.50, for example."--TPT Credits Page

Total Pages

64 pages

Answer Key

N/A

Teaching Duration

N/A

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