Chelsea Cutting from Mount Gambier, South Australia, tells us about the
real-world 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 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
These activities guide students through a
rich exploration of percent concentration using both tactile
experiences and real-world 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
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
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
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 problem-solving 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 school-wide activities.
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 non-traditional squares. Make connections between geometry, measurement
and number sense through the use of manipulatives.
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
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
The concepts of greater than, less than, and equal to
are explored in this 2-lesson unit. Students create piles of food on
two islands, and their fish always swims toward the island with more
food. The fish's mouth is open to represent the greater than and less
than symbols. Students transition from the concrete representation of
using piles of food and the fish to writing inequalities with numerals
and symbols.
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
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
Make predictions and conduct experiment to determine how many pebbles the crow would need to add to the pitcher in order to bring the water to drinking height.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Expression/Equation
Stats & Probability
Functions
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Represent and analyze quantitative relationships between dependent and independent variables.
Reason about and solve one-variable equations and inequalities.
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.B.4a, 8.EE.B.6, 8.F.B.4, 8.SP.A.2, 8.SP.A.3, 6.EE.B.6, 6.EE.C.9, 7.RP.A.2b, 7.RP.A.2c
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
Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Help Emma determine how many different nets are possible and analyze the resulting cubes.
Lesson Plan
Grades: 6th to 8th
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.4
See first hand the sheer size of 1 million while introducing sampling and its use in mathematics.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Ratio & Proportion
Use random sampling to draw inferences about a population.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.3a, 7.RP.A.3, 7.SP.A.1, 7.SP.A.2
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
Model exponential decay.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Algebra
Interpreting Functions
Linear, Quadratic, and Exponential Models
Seeing Structure in Expressions
HSA-SSE.B.3c, HSF-IF.B.4, HSF-IF.C.7e, HSF-IF.C.8b, HSF-LE.A.1a, HSF-LE.A.1c, HSF-LE.B.5, HSF-IF.A.1