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    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
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