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
The 23year teacher modifies games to meet the different
learning needs in her classroom. See how she modified Deep Sea
Duel.
Success Story
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 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 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
Web Interactive
Grades: Pre K to 2nd
Measurement & Data
Counting & Cardinality
Relate addition and subtraction to length.
Count to tell the number of objects.
Know number names and the count sequence.
K.CC.A.2, K.CC.B.5, K.CC.B.4a, K.CC.B.4b, K.CC.B.4c, 2.MD.B.6
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
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
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
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
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
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
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
Determine the volume of a box by filling it with
cubes, rows of cubes, or layers of cubes. Determine the surface area as
well by using the box's net.
Web Interactive
Grades: 3rd to 5th
Measurement & Data
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
5.MD.C.4, 5.MD.C.3a, 5.MD.C.3b, 5.MD.C.5a, 5.MD.C.5b
Exercise your factoring ability against a human or the computer. Also available on
Calculation Nation™ as
Factor Dazzle.
Web Interactive
Grades: 6th to 8th, 3rd to 5th
The Number System
Algebraic Thinking
Compute fluently with multidigit numbers and find common factors and multiples.
Gain familiarity with factors and multiples.
4.OA.B.4, 6.NS.B.4
Become proficient with numbers and operations by guiding Okta the octopus through a mathematical maze.
This interactive is also a mobile app. Download it on iTunes or Google Play.
Web Interactive
Grades: 3rd to 5th, 6th to 8th, PreK to 2nd, Pre K to 2nd
Num & Ops Fractions
The Number System
Expression/Equation
Num & Ops Base Ten
Algebraic Thinking
Number & Operations
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Use equivalent fractions as a strategy to add and subtract fractions.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Solve reallife and mathematical problems using numerical and algebraic expressions and equations.
Compute fluently with multidigit numbers and find common factors and multiples.
Perform operations with multidigit whole numbers and with decimals to hundredths.
Use place value understanding and properties of operations to perform multidigit arithmetic.
Multiply and divide within 100.
Use place value understanding and properties of operations to add and subtract.
Add and subtract within 20.
Understand and apply properties of operations and the relationship between addition and subtraction.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.5, 1.OA.B.4, 1.OA.C.6, 1.NBT.C.4, 2.OA.B.2, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.9, 3.OA.C.7, 3.NBT.A.2, 4.NBT.B.4, 4.NBT.B.5, 4.NBT.B.6, 5.NBT.B.7, 6.NS.B.3, 5.NF.B.4a, 5.NF.B.4b, 7.NS.A.3, 7.EE.B.3, 4.NF.B.3a, 4.NF.B.3d, 6.NS.A.1, 5.NF.A.1, 7.NS.A.2a, 7.NS.A.2c, 5.NF.B.6
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
Explore relationships among the weights of various objects by placing them on either side of a balance.
Web Interactive
Grades: 3rd to 5th, 6th to 8th
Expression/Equation
Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.A.3
Investigate the concept of equivalence by "weighing" numeric and algebraic expressions.
Web Interactive
Grades: 9th to 12th, 6th to 8th, High School, 3rd to 5th
Algebra
Expression/Equation
Functions
Algebraic Thinking
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
Building Functions
Solve reallife and mathematical problems using numerical and algebraic expressions and equations.
Reason about and solve onevariable equations and inequalities.
Represent and solve problems involving multiplication and division.
3.OA.A.4, 6.EE.B.5, 6.EE.B.7, HSAREI.A.1, 7.EE.B.4a, HSFBF.B.4a, 8.EE.C.7a, 8.EE.C.7b, HSAREI.B.3