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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?"

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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
A bowl contains 75 candies, identical except for color. Twenty are red, 25 are green, and 30 are brown. Without looking, what is the least number of candies you must pick in order to be absolutely certain that three of them are brown?
Problems
Grades: 9th to 12th, 6th to 8th
Stats & Probability
Using Probability to Make Decisions
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.C.5, 7.SP.C.7a, HSS-MD.B.5a
Write 2014 with the first four prime numbers, with the aid of the operations addition, multiplication and exponentiation.
Problems
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
Algebraic Thinking
Apply and extend previous understandings of arithmetic to algebraic expressions.
Gain familiarity with factors and multiples.
Multiply and divide within 100.
3.OA.C.7, 4.OA.B.4, 6.EE.A.1
Find all of the factors of each number up to 36 and learn the difference between prime and composite numbers.
Lesson Plan
Grades: 3rd to 5th, Pre K to 2nd
Measurement & Data
Geometry
Algebraic Thinking
Num & Ops Base Ten
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Reason with shapes and their attributes.
Work with equal groups of objects to gain foundations for multiplication.
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, 2.OA.C.4, 2.G.A.2, 3.MD.C.7b
Learn a fun and impressive trick while simultaneously practicing and mastering the all-important combinations of ten.
Lesson Plan
Grades: Pre K to 2nd
Number & Operations
Algebraic Thinking
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.
Work with numbers 11-19 to gain foundations for place value.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.3, K.OA.A.4, K.OA.A.5, K.NBT.A.1, 1.OA.B.4, 1.OA.C.6, 2.OA.B.2, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.9
Create patterns to cover the screen using regular polygons.
Grades: 6th to 8th, 3rd to 5th
A figure resembling a spiral is shown with 35 matches. Move 4 matches to form 3 squares.
Problems
Grades: 6th to 8th
Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Enforce the skills of identifying equivalent trigonometric expressions using puzzles.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Functions
Similarity, Right Triangles, and Trigonometry
Trigonometric Functions
HSF-TF.A.3, HSG-SRT.C.6, HSG-SRT.C.7, HSG-SRT.C.8, HSG-SRT.D.10, HSG-SRT.D.11
Determine the relationships between radius, diameter, circumference and area of a circle by using a MIRA tool.
Lesson Plan
Grades: 6th to 8th
Geometry
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2, 7.G.B.4
Model linear functions using Barbie dolls and rubber bands.
Lesson Plan
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.6c, HSS-ID.C.7
A pocket watch is placed next to a digital clock. Several times a day, the number of minutes shown by the digital clock is equal to the number of degrees between the hands of the watch. (The watch does not have a second hand.) As you can see, 10:27 is not one of those times — the angle between the hands is much greater than 27°. If fractional minutes aren’t allowed, at what times does this happen?
Problems
Grades: 3rd to 5th
Measurement & Data
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
3.MD.A.1

A man has to take a wolf, a goat, and some cabbage across a river. His rowboat has enough room for the man plus either the wolf or the goat or the cabbage. If he takes the cabbage with him, the wolf will eat the goat. If he takes the wolf, the goat will eat the cabbage. Only when the man is present are the goat and the cabbage safe from their enemies. All the same, the man carries wolf, goat, and cabbage across the river. How?

Problems

Is this a joke? Not if you can multiply the first equation by 6,751 and the second by 3,249 in your head, and not if you use a second, simpler method.

Problems
Grades: 9th to 12th, 6th to 8th
Algebra
Expression/Equation
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.8b, HSA-REI.C.6, HSA-REI.C.5
Students investigate the number of chairs that can be placed around an arrangement of square tables.
Lesson Plan
Grades: 3rd to 5th
Algebraic Thinking
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
3.OA.D.9

Ask a friend to pick a number from 1 through 1,000. After asking him ten questions that can be answered yes or no, you tell him the number.

What kind of Questions?

Problems
Grades: 3rd to 5th
Num & Ops Base Ten
Generalize place value understanding for multi-digit whole numbers.
4.NBT.A.2

A magic rectangle is an m× n array of the positive integers from 1 to m× n such that the numbers in each row have a constant sum and the numbers in each column have a constant sum (although the row sum need not equal the column sum). Shown below is a 3 × 5 magic rectangle with the integers 1-15.

Two of three arrays at left can be filled with the integers 1-24 to form a magic rectangle. Which one can't, and why not?

Problems

What is the sum of the following?

432 + 432 + 432 + 432 + 432 + 432 + 864 + 864

Problems
Grades: 3rd to 5th
Num & Ops Base Ten
Use place value understanding and properties of operations to perform multi-digit arithmetic.
3.NBT.A.2, 4.NBT.B.4

How do I love thee?  Let me plot the ways!

A heart is drawn on a coordinate plane by plotting the following points and connecting them:

• The coordinates of the points are:

( n , n ), ( n - 3, n + 3), ( n - 6, n ), ( n - 9, n + 3), ( n - 12, n ), ( n - 12, n - 3), ( n - 6, n - 9), and ( n , n -3).

• The coordinates of one point are (2, 14).
• All coordinates are positive integers.

What is the value of  n ?

Problems
Grades: 6th to 8th, 3rd to 5th
The Number System
Geometry
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
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