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    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
    Manipulate various geometric solids and investigate their properties.
    Web Interactive
    Grades: High School, 6th to 8th, 3rd to 5th, PreK to 2nd, Pre K to 2nd
    Solve real-world and mathematical problems involving area, surface area, and volume.
    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, 6.G.A.4

    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

    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
    Divide numbers into two factors, and build arrays to represent each factorization.
    Web Interactive
    Grades: 3rd to 5th, 6th to 8th
    Measurement & Data
    Num & Ops Base Ten
    Algebraic Thinking
    Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
    Use place value understanding and properties of operations to perform multi-digit arithmetic.
    Gain familiarity with factors and multiples.
    4.OA.B.4, 4.NBT.B.5, 3.MD.C.7b
    Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes.
    Grades: 6th to 8th, 3rd to 5th, PreK to 2nd, Pre K to 2nd
    Draw construct, and describe geometrical figures and describe the relationships between them.
    Reason with shapes and their attributes.
    Analyze, compare, create, and compose shapes.
    K.G.B.4, K.G.B.5, K.G.B.6, 1.G.A.1, 1.G.A.2, 2.G.A.1, 7.G.A.2
    Anthony incorporates Illuminations lessons into her curriculum, but she also expands, tweaks and creates new materials to ensure these lessons are meeting the needs of her students.
    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 non-traditional squares. Make connections between geometry, measurement and number sense through the use of manipulatives.


    Lesson Plan
    Create patterns to cover the screen using regular polygons.
    Grades: 6th to 8th, 3rd to 5th
    Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions.
    Grades: 9th to 12th, High School
    Trigonometric Functions
    Interpreting Functions
    HSF-IF.C.7e, HSF-TF.B.5

    Each geometric investigation in this unit begins with an open-ended 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
    Plot a set of data and determine a line of best fit.
    Web Interactive
    Grades: High School, 6th to 8th, 9th to 12th
    Stats & Probability
    Interpreting Categorical and Quantitative Data
    Investigate patterns of association in bivariate data.
    8.SP.A.1, 8.SP.A.2, 8.SP.A.3, HSS-ID.B.6a, HSS-ID.B.6b, HSS-ID.B.6c, HSS-ID.C.7, HSS-ID.C.8
    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
    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
    Apply and extend previous understandings of arithmetic to algebraic expressions.

    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 remote-controlled cars. Students explore how position, speed, and varying motion are reflected in graphs, tables, and algebraic equations.


    Lesson Plan
    It has often been said that love happens when you least expect it, and now the same can be said for finding math resources. Victoria Miles, 7th grade math teacher at Abigail Adams Middle School, came upon Illuminations after a Google search directed her to the site.
    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
    Practice counting large numbers by grouping herds of cows into tens and leftover ones.
    Lesson Plan
    Grades: Pre K to 2nd
    Number & Operations
    Counting & Cardinality
    Understand place value.
    Know number names and the count sequence.
    K.CC.A.1, 1.NBT.B.2a, 1.NBT.B.2b, 1.NBT.B.2c, 2.NBT.A.1a, 2.NBT.A.2
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