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
These activities guide students through a
rich exploration of percent concentration using both tactile
experiences and realworld applications. Students predict, model, and
generalize their conjectures about percent concentrations.
Math Content
Students will:
 Explore, estimate and apply percent concentrations.
 Generalize a formula from specific experiences.
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
In this unit, students become real
business owners!
 In the first lesson, students collaborate to develop an
enticing product and are given $1000 which they must budget to cover the
cost of real estate, advertising, and stocking their stores.
 In the second lesson, students participate in
"Selling Day!" and try to make a profit from their debit card
wielding classmates who are looking for the best deals.
Students' number sense and problem
solving strategies are refined as groups compete for the title "Money
Makers!"
Lesson Plan
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
Much like athletes must warm up their muscles before heading into a
game, students often warm up with engaging classroom activities or
problems of the day before diving into the daily math lesson. Wan Chow
of Bishop Strachtan School in Toronto finds the perfect warmup in
Illuminations.
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
In this unit, students make groups of 10 to
20 objects, connect number names to the groups, compose and decompose
numbers, and use numerals to record the size of a group. Visual,
auditory, and kinesthetic activities are included in each lesson. This
unit is most appropriate for students typically in the first grade.
Math Content
Students will:
 Understand the concept of number.
 Build relationships between numbers.
 Become familiar with equality.
 Begin writing numerals.
Lesson Plan
These investigations use movement to
reinforce the concepts of linear functions and systems of equations. Multiple
representations are used throughout, along with tools such as motion detectors
and remotecontrolled cars. Students explore how position, speed, and varying
motion are reflected in graphs, tables, and algebraic equations.
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
The interactive Paper Pool game provides an opportunity for students to
develop their understanding of ratio, proportion, greatest common factor
and least common multiple.
In this investigation, students are asked to play a game called Paper
Pool. The game is played on rectangular grids made of congruent
squares.
The Paper Pool unit was adapted with
permission and guidance from the Connected Mathematics Project.
Math Content
Students will:
 Develop their understanding of ratios, proportions, and equivalent fractions.
 Find the greatest common factor and the least common multiple.
 Investigate similar figures.
 Gather and organize data.
 Search for patterns.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Stats & Probability
Algebraic Thinking
Summarize and describe distributions.
Generate and analyze patterns.
4.OA.C.5, 6.SP.B.5b
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 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
Students begin an exploration of cryptology by first learning about two
simple coding methods— the Caesar cipher and the Vigenere cipher.
Students then use matrices and their inverses to create more
sophisticated codes.
Lesson Plan
In the following lessons, students
participate in activities in which they focus on connections between
mathematics and children’s literature. Three pieces of literature are
used to teach geometry and measurement topics in the mathematics
curriculum, from using and describing geometric figures to estimating
volume of figures.
These lessons were adapted from "Ideas: Mathematics
and Children’s Literature," by Martha H. (Marty) Hopkins, which appeared
in The Arithmetic Teacher, May 1993, pp. 512‑519.
Lesson Plan
Each geometric investigation in this
unit begins with an openended question that engages students in a study of
triangles and their properties. This lesson was adapted from "IDEAS"
by Marea W. Channel, which appeared in the November, 1993 Arithmetic Teacher
(Teaching Children Mathematics), Vol. 41, No. 3.
Lesson Plan
Create customized activity sheets for your classroom.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th, PreK to 2nd, 9th to 12th, Pre K to 2nd
Functions
Geometry
The Number System
Num & Ops Fractions
Measurement & Data
Linear, Quadratic, and Exponential Models
Use functions to model relationships between quantities.
Solve realworld and mathematical problems involving area, surface area, and volume.
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.
Develop understanding of fractions as numbers.
Relate addition and subtraction to length.
Analyze, compare, create, and compose shapes.
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.A.2, K.G.B.4, 2.MD.B.6, 3.NF.A.2a, 3.NF.A.2b, 5.G.A.1, 6.NS.C.6c, 6.NS.C.7a, 6.G.A.4, 8.F.B.5, HSFLE.A.1b