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 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 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
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
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
In this unit, students practice
measurement by measuring themselves. Students use nonstandard units to practice
measuring their heights and arm spans. Then, they create a "body map"
and use directional and positional words.
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
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
Transform images through rotation, reflection, dilation, and translation using matrix multiplication.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Similarity, Right Triangles, and Trigonometry
Congruence
HSGCO.A.2, HSGCO.A.4, HSGCO.A.5, HSGCO.B.6, HSGCO.B.7, HSGCO.A.1, HSGSRT.A.1a, HSGSRT.A.1b
Offers a method for finding the slope of a line from its graph.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Ratio & Proportion
Functions
Expression/Equation
Analyze proportional relationships and use them to solve realworld and mathematical problems.
Interpreting Functions
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.6, 8.F.B.4, HSFIF.B.6, 7.RP.A.2b
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
Construct perpendicular bisectors, find circumcenters, calculate area, and use proportions to solve a real world problem.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Congruence
HSGCO.D.12
Model exponential decay.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Algebra
Interpreting Functions
Linear, Quadratic, and Exponential Models
Seeing Structure in Expressions
HSASSE.B.3c, HSFIF.B.4, HSFIF.C.7e, HSFIF.C.8b, HSFLE.A.1a, HSFLE.A.1c, HSFLE.B.5, HSFIF.A.1
Make the connection between trigonometric rations and graphs of sine and cosine functions.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Geometry
Trigonometric Functions
Similarity, Right Triangles, and Trigonometry
Interpreting Functions
HSFIF.B.4, HSFIF.B.5, HSFIF.C.7e, HSFTF.A.3, HSGSRT.C.7, HSFTF.A.2, HSFTF.A.4, HSFTF.B.5
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
Imagine having your whole year planned out before stepping foot in your
classroom. Cindy Stofferahn, third grade teacher at Sturgis Elementary
School in South Dakota, already knows what she is teaching today,
tomorrow and for the rest of the year.
Success Story
Plot and connect the points, label a graph, and then create a short story that could describe the graph.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Geometry
Use properties of operations to generate equivalent expressions.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Apply and extend previous understandings of numbers to the system of rational numbers.
Graph points on the coordinate plane to solve realworld and mathematical problems.
5.G.A.1, 5.G.A.2, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.EE.A.3, 7.EE.A.2
Examine the bar code system, and then, discover the applications of modular arithmetic as applied to credit card numbers.
Lesson Plan
Grades: High School
Compute with whole numbers and decimals in order to buy an aquarium for the class.
Lesson Plan
Grades: 3rd to 5th
Num & Ops Base Ten
Perform operations with multidigit whole numbers and with decimals to hundredths.
5.NBT.B.7