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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
    The 23-year 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 self-contained classroom, teaches highly and profoundly gifted students in Phoenix, AZ. Flores says math "rotations" is a "big-kid way to say centers." One of these math stations hosts computers, which students use frequently to visit Calculation NationTM .
    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

    Count and subitize by playing a game.

    This activity is available for your phone in the Android Market or Apple App Store.  

    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 non-traditional 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 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
    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 real-world 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 multi-digit 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 real-life and mathematical problems using numerical and algebraic expressions and equations.
    Compute fluently with multi-digit numbers and find common factors and multiples.
    Perform operations with multi-digit whole numbers and with decimals to hundredths.
    Use place value understanding and properties of operations to perform multi-digit 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 real-life and mathematical problems using numerical and algebraic expressions and equations.
    Reason about and solve one-variable equations and inequalities.
    Represent and solve problems involving multiplication and division.
    3.OA.A.4, 6.EE.B.5, 6.EE.B.7, HSA-REI.A.1, 7.EE.B.4a, HSF-BF.B.4a, 8.EE.C.7a, 8.EE.C.7b, HSA-REI.B.3
    1 - 20 of 409 results
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