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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 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
    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
    The 23-year teacher modifies games to meet the different learning needs in her classroom. See how she modified Deep Sea Duel.
    Success Story
    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
    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

    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

    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
    Terry Johanson, learning support facilitator for Prairie Spirit School Division, and Kirsten Dyck, physics teacher at Saskatchewan High School, worked together to team plan and teach an Illuminations lesson.
    Success Story

    In this unit, students explore circles. In the first lesson students apply the concepts of area and circumference to explore arrangements for soda cans that lead to a more efficient package. In the second lesson, students experiment with three-dimensional arrangements to discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more advanced mathematical concept of curvature.

    Math Content

    In this unit, students will:
    • Determine circumference and area.
    • Calculate the efficiency of an arrangements of cans.
    • Create a model for arranging cans on a shelf.
    • Determine the curvature of a circle.
     
    Lesson Plan
    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
    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
    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

    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 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
    Losing weight is a popular New Year’s resolution. Some people turn to exercise to help them achieve this goal, but one teacher wonders if it’s possible to keep this resolution while following a diet of fast food.
    Success Story

    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

    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
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