Chelsea Cutting from Mount Gambier, South Australia, tells us about the
realworld connections her students are able to make after using
Illumination resources.
Success Story
Jan Gebert is an Illuminations lesson plan reviewer and instructor of
professional and secondary education at East Stroudsburg University. So
she definitely knows a thing or two about quality lessons. Illuminations
asked her for her favorite out of our 600+ lessons.
Success Story
Deeanna Golden, a teacher of 24 years at F.M. Golson Elementary
School in Marianna, Florida, is a beloved Illuminations lesson plan
writer. So we asked her, "Why do you think it is important to share resources?"
Success Story
In this unit, students learn the Law of
Sines and the Law of Cosines and determine when each can be used to find
a side length or angle of a triangle.
Lesson Plan
Diana Flores, who has a selfcontained classroom, teaches highly and
profoundly gifted students in Phoenix, AZ. Flores says math "rotations"
is a "bigkid way to say centers." One of these math stations hosts computers, which students use frequently to visit Calculation Nation^{TM}
.
Success Story
The 23year teacher modifies games to meet the different
learning needs in her classroom. See how she modified Deep Sea
Duel.
Success Story
Francisco
Santiago works as a youth counselor for York County in Pennsylvania.
Committed to helping residents prepare for successful futures, he came
to Illuminations seeking out resources for motivation and remediation of
mathematics.
Success Story
Anthony
incorporates Illuminations lessons into her curriculum, but she also
expands, tweaks and creates new materials to ensure these lessons are
meeting the needs of her students.
Success Story
Every 4 years, citizens of the
United States elect the person they believe should be our nation's new leader.
This unit explores the mathematics of the electoral college, the system used in
this country to determine the winner in a presidential election. The lessons
include activities in percentages, ratios, and area, with a focus throughout on
building problemsolving and reasoning skills. They are designed to be used
individually to fit within your curriculum at the time of an election. However,
time permitting, they can be used as a unit to give students a strong
understanding of how small variations can mean one person becomes president and
another does not. Additionally, the lesson extensions include many ideas for
interdisciplinary activities and some possible schoolwide activities.
Lesson Plan
Students will explore theoretical
and experimental probability and the relationship between them. Students will
also graph an experiment to further explore the relationship according to the
Law of Large Numbers.
Lesson Plan
Terry Johanson, learning support facilitator for Prairie Spirit School
Division, and Kirsten Dyck, physics teacher at Saskatchewan High School,
worked together to team plan and teach an Illuminations lesson.
Success Story
In this unit, students explore circles. In
the first lesson students apply the concepts of area and circumference
to explore arrangements for soda cans that lead to a more efficient
package. In the second lesson, students experiment with threedimensional arrangements to
discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more
advanced mathematical concept of curvature.
Math Content
In this unit, students will:
 Determine circumference and area.
 Calculate the efficiency of an arrangements of cans.
 Create a model for arranging cans on a shelf.
 Determine the curvature of a circle.
Lesson Plan
Matthew Jaques, ninth and tenth grade teacher for Cathedral High
School in Springfield, Massachusetts, discovered Illuminations by way of
Bright Ideas and has been using, modifying and creating his
own lessons ever since.
Success Story
Pamela Olmstead has
been a middle school math and science teacher for 15 years at Chehalis
Middle
School (Chehalis, WA). One lesson that she has referred to all year long
is Balancing Shapes, which uses the online applet Pan Balance—Shapes.
Success Story
Many students may have seen Pick’s
Theorem in middle school. In this set of lessons, students rediscover the
theorem, use algebra to determine the coefficients of the equation, and explore
the concept of change as a mechanism for finding the coefficients of Pick’s
Theorem. Math
Content
Students will:
 Solve systems of equations.
 Find rates of change.
Although no single lesson in this
unit addresses connections and representation by itself, the entire unit
focuses on the Connections and Representation Standards by allowing students to
make connections among mathematical ideas and asking students to use various
representations to organize their work.
Lesson Plan
In this unit, students use the area formula
for a rectangle to discover the area formulas for triangles,
parallelograms, and trapezoids. Students also consider irregular figures
whose areas can be determined by estimation or decomposition.
Prerequisite Knowledge

Students need to have a conceptual understanding of area, as well as some familiarity with the area formula for rectangles.
 Students need to have a conceptual understanding of area, as well as some familiarity with the area formula for rectangles.
Lesson Plan
In this unit, students will use
geoboards to visualize the geometric meanings of square and square root.
Math
Content
Students will:
 Connect the square of a number to the area of a square
whose side length is given.
 Understand that the square root of a number can be
represented as the side length of a square whose area is given.
 be introduced to irrational numbers as the side lengths
of nontraditional squares. Make connections between geometry, measurement
and number sense through the use of manipulatives.
Lesson Plan
Losing weight is a popular New Year’s resolution. Some people turn to
exercise to help them achieve this goal, but one teacher wonders if
it’s possible to keep this resolution while following a diet of fast
food.
Success Story
In this interactive geometry investigation,
students explore polyhedra using different representations and
perspectives for three dimensional block figures. In addition, students
will examine area and volume concepts for block figures within this
context.
Math Content
Students will:
 Analyze characteristics and properties of three dimensional
geometric shapes and develop mathematical arguments about geometric
relationships.
 Use visualization, spatial reasoning, and geometric modeling to solve problems.
 Create three dimensional shapes using the isometric drawing tool and represent these shapes as isometric drawings.
 Find the surface area and volume of various polyhedra created in this unit.
If possible, each student should have access to an individual computer.
Lesson Plan
In this unit, students collect data
using objects, pictures, and symbols. They organize data by sorting and
classifying in different ways. Students display data using multiple
representations.
Lesson Plan