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12th Grade Math

(8 Units, 77 Lessons)

Algebra I

(11 Units, 154 Lessons)

Unit 6 - Trigonometry: Circles(17 Lessons)

Circles on the Coordinate Plane

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:All students can tell you that “y=mx+b” or “a squared plus b squared equals c squared.” Build on that and teach them to graph a circle.

18 Resources

28 Favorites

18 Resources

28 Favorites

Manipulating Circles on Geogebra

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Digital manipulates inspire confidence and excitement as students learn how the equation of circle affects its graph.

17 Resources

0 Favorites

17 Resources

0 Favorites

Old and New Knowledge of Circles

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students explore the idea that pi and the trig ratios are really just the same shoes on different feet.

13 Resources

0 Favorites

13 Resources

0 Favorites

Problem Solving with Isosceles Triangles and Circles

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:We’ve seen some of the connections between triangles and circles – here, we lay the groundwork for more!

14 Resources

0 Favorites

14 Resources

0 Favorites

The Defining Pi Project, Day 1

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students assess the precision of historical approximations of pi, then attend to precision as they set out to calculate the number on their own.

31 Resources

2 Favorites

31 Resources

2 Favorites

The Defining Pi Project, Day 2

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:This lesson picks up where Day 1 left off, providing students with clarity about Part 1 of the project and the levels of precision to which we will have to attend.

12 Resources

1 Favorites

12 Resources

1 Favorites

The Defining Pi Project, Day 3

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students experience firsthand a famous method for approximating pi to successively greater levels of precision.

13 Resources

1 Favorites

13 Resources

1 Favorites

The Defining Pi Project, Day 4

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Project-based learning = awesome work periods = time for teachers to patiently improvise: deep, cohesive understanding takes time to develop.

18 Resources

0 Favorites

18 Resources

0 Favorites

The Defining Pi Project, Day 5

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students work to abstract what they’ve been doing, and they see that π is only as precise as our rounding. Deep understanding ensues.

18 Resources

1 Favorites

18 Resources

1 Favorites

The Defining Pi Project, Day 6

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:When we reason abstractly about the calculations we’ve been making, we can make use of a tool that helps us tend to precision.

17 Resources

0 Favorites

17 Resources

0 Favorites

The Defining Pi Project, Day 7

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students work to develop their own general forumlas, and Excel is used as a tool that helps develop algebraic reasoning skills.

15 Resources

1 Favorites

15 Resources

1 Favorites

The Defining Pi Project, Day 8 (Wrapping Up)

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:It’s a workshop period, and there is plenty to do! These are really my favorite days of teaching because classes are always engaging in unpredictable ways.

11 Resources

0 Favorites

11 Resources

0 Favorites

Arc Length and Sector Area

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students find their friend similarity lurking in a table of repeated calculations. A firm concept of radian measure follows close behind.

14 Resources

12 Favorites

14 Resources

12 Favorites

Radian Measure

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Time invested in understanding similarity and in the π project pays off when students see the common sense behind the idea of radian measure.

13 Resources

0 Favorites

13 Resources

0 Favorites

Review of Circles Learning Targets

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students work together to review and synthesize their knowledge of circles.

10 Resources

0 Favorites

10 Resources

0 Favorites

Defining Pi Project Revisions and Circles Review

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:We have covered a lot over the last few days, and now students have a chance to make sense of it all.

6 Resources

0 Favorites

6 Resources

0 Favorites

Circles Review: Open Spaces

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Open Spaces gives students the chance to demonstrate leadership and to own their own learning!

9 Resources

0 Favorites

9 Resources

0 Favorites