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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

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 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
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

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

In this unit, students practice measurement by measuring themselves. Students use nonstandard units to practice measuring their heights and arm spans. Then, they create a "body map" and use directional and positional words.

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
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
Transform images through rotation, reflection, dilation, and translation using matrix multiplication.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Similarity, Right Triangles, and Trigonometry
Congruence
HSG-CO.A.2, HSG-CO.A.4, HSG-CO.A.5, HSG-CO.B.6, HSG-CO.B.7, HSG-CO.A.1, HSG-SRT.A.1a, HSG-SRT.A.1b
Offers a method for finding the slope of a line from its graph.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Ratio & Proportion
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Functions
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.6, 8.F.B.4, HSF-IF.B.6, 7.RP.A.2b
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

Construct perpendicular bisectors, find circumcenters, calculate area, and use proportions to solve a real world problem.

Lesson Plan
Grades: High School, 9th to 12th
Geometry
Congruence
HSG-CO.D.12
Model exponential decay.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Algebra
Interpreting Functions
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
Make the connection between trigonometric rations and graphs of sine and cosine functions.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Geometry
Trigonometric Functions
Similarity, Right Triangles, and Trigonometry
Interpreting Functions
HSF-IF.B.4, HSF-IF.B.5, HSF-IF.C.7e, HSF-TF.A.3, HSG-SRT.C.7, HSF-TF.A.2, HSF-TF.A.4, HSF-TF.B.5
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
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
Plot and connect the points, label a graph, and then create a short story that could describe the graph.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Geometry
Use properties of operations to generate equivalent expressions.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Apply and extend previous understandings of numbers to the system of rational numbers.
Graph points on the coordinate plane to solve real-world and mathematical problems.
5.G.A.1, 5.G.A.2, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.EE.A.3, 7.EE.A.2
Examine the bar code system, and then, discover the applications of modular arithmetic as applied to credit card numbers.
Lesson Plan