**Title:** Approximations of Pi

**Description:**
This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi.
**Standard(s): **

[MA2015] AM1 (9-12) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)

**Subject:**Mathematics

**Title:**Approximations of Pi

**Description:**This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Finding Surface Area and Volume

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use an isometric drawing tool to build three-dimensional figures. They then find the surface area and volume of each figure.
**Standard(s): **

[MA2015] GEO (9-12) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. *Use dissection arguments, Cavalieri's principle, and informal limit arguments.* [G-GMD1]

**Subject:**Mathematics

**Title:**Finding Surface Area and Volume

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use an isometric drawing tool to build three-dimensional figures. They then find the surface area and volume of each figure.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Orbiting Satellites

**Description:**
In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earth-orbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a real-world situation.
**Standard(s): **

[MA2015] PRE (9-12) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [N-VM3]

**Subject:**Mathematics,Science

**Title:**Orbiting Satellites

**Description:**In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earth-orbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a real-world situation.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Pi Line

**Description:**
In this Illuminations lesson, students measure the diameter and circumference of various circular objects. They plot the measurements on a graph and relate the slope of the line to the ratio of circumference to diameter. There are also links to online activities.
**Standard(s): **

[MA2015] GEO (9-12) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. *Use dissection arguments, Cavalieri's principle, and informal limit arguments.* [G-GMD1]

**Subject:**Mathematics

**Title:**Pi Line

**Description:**In this Illuminations lesson, students measure the diameter and circumference of various circular objects. They plot the measurements on a graph and relate the slope of the line to the ratio of circumference to diameter. There are also links to online activities.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Slope, Pi, and Lines

**Description:**
These reproducible transparencies, from an Illuminations lesson, feature pre-activity and summary questions on slopes, pi and lines.
**Standard(s): **

[MA2015] GEO (9-12) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. *Use dissection arguments, Cavalieri's principle, and informal limit arguments.* [G-GMD1]

**Subject:**Mathematics

**Title:**Slope, Pi, and Lines

**Description:**These reproducible transparencies, from an Illuminations lesson, feature pre-activity and summary questions on slopes, pi and lines.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Slope, Pi, and Lines Activity Sheet

**Description:**
This reproducible activity sheet, from an Illuminations lesson, guides students as they measure circle circumferences and diameters and graph the relationship between these two measurements.
**Standard(s): **

[MA2015] GEO (9-12) 35: Give an informal argument for the formulas for the circumference of a circle; area of a circle; and volume of a cylinder, pyramid, and cone. *Use dissection arguments, Cavalieri's principle, and informal limit arguments.* [G-GMD1]

**Subject:**Mathematics

**Title:**Slope, Pi, and Lines Activity Sheet

**Description:**This reproducible activity sheet, from an Illuminations lesson, guides students as they measure circle circumferences and diameters and graph the relationship between these two measurements.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12