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
Students discover the relationship between the area and perimeter of a rectangle.
Lesson Plan
Grades: 3rd to 5th
Measurement & Data
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
3.MD.C.5a, 3.MD.C.5b, 3.MD.C.6, 3.MD.D.8, 3.MD.C.7b, 4.MD.A.3
Use previous knowledge of multiplication to identify factors and form products.
Lesson Plan
Grades: 3rd to 5th
Algebraic Thinking
Gain familiarity with factors and multiples.
Multiply and divide within 100.
Understand properties of multiplication and the relationship between multiplication and division.
3.OA.B.5, 3.OA.C.7, 4.OA.B.4
Predict, estimate and then calculate the path that results in the fastest time to travel between two points when different terrains affect the fastest path.
Lesson Plan
Grades: 6th to 8th
Geometry
Ratio & Proportion
Understand and apply the Pythagorean Theorem.
Analyze proportional relationships and use them to solve realworld and mathematical problems.
Solve realworld and mathematical problems involving area, surface area, and volume.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.2, 6.RP.A.3b, 6.G.A.3, 7.RP.A.1, 8.G.B.8
Draw
three lines (not necessarily straight) so that each circle is connected to
another circle with the same letter (that is, A to A, B to B,
and C to shining C). The lines may not intersect one another, and
they may not extend beyond the rectangle.
Problems
The number groups below are the last five digits of the fifth powers
of the numbers 31 through 39. However, the groups aren't in the right
order to represent the fifth powers of 31 through 39 sequentially. Using
only these digits, and without using a calculator, can you place the
groups in the correct order?
35393 

35424 

29151 
24199 

21875 

35168 
54432 

43957 

66176 
Problems
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
Num & Ops Fractions
Apply and extend previous understandings of arithmetic to algebraic expressions.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
5.NF.B.5a, 6.EE.A.1
Use fraction bars to explore how to compare sizes of fractions.
Lesson Plan
Grades: 3rd to 5th
Num & Ops Fractions
Geometry
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Extend understanding of fraction equivalence and ordering.
Reason with shapes and their attributes.
Develop understanding of fractions as numbers.
3.NF.A.1, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c, 3.NF.A.3d, 3.G.A.2, 4.NF.A.1, 4.NF.A.2, 4.NF.B.4a, 5.NF.B.3
In the diagram at above, each "path" from top to bottom correctly spells the word MATCH.
What is the total number of different
paths in the diagram?
Problems
Assuming that the circumference of each circle below passes through the
centers of the other two, and that the radius of each circle is 1, what
is the total gray area?
Problems
Grades: 9th to 12th, 6th to 8th
Geometry
Geometric Measurement and Dimension
Solve reallife and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.4, HSGGMD.A.1
How many different triangles are there in the figure?
Problems
Grades: 3rd to 5th
Geometry
Classify twodimensional figures into categories based on their properties.
5.G.B.4
In a four‑digit number, the sum of the digits is 10. All the digits are different. What is the largest such four‑digit number?
Problems
Grades: 3rd to 5th
Num & Ops Base Ten
Generalize place value understanding for multidigit whole numbers.
4.NBT.A.2
A rectangular wooden block (not necessarily a cube) is painted on the
outside and then divided into oneunit cubes. It turns out that exactly
half of the cubes have paint on them. What were the dimensions of the
block before it was painted?
Problems
Grades: 3rd to 5th, 6th to 8th
Measurement & Data
Geometry
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Solve realworld and mathematical problems involving area, surface area, and volume.
5.MD.C.3a, 5.MD.C.3b, 6.G.A.2, 6.G.A.4, 5.MD.C.4, 5.MD.C.5a
Students use coin blocks, a concrete representation of coins, to compose and decompose numbers by counting money.
Lesson Plan
Explore the concept of slope through a studentcentered problem of data collection and evaluation.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Functions
Expression/Equation
Geometry
Analyze proportional relationships and use them to solve realworld and mathematical problems.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.1, 8.EE.B.6, 8.F.B.4, 7.RP.A.2b
Purrer has decided to take a nap. He dreams he is encircled by 13
mice: 12 gray and 1 white. He hears his owner saying: “Purrer, you are to eat
each thirteenth mouse, keeping the same direction. The last mouse you eat must
be the white one.” Which mouse should he start from?
Problems
Grades: 3rd to 5th
Algebraic Thinking
Multiply and divide within 100.
3.OA.C.7
Use base ten blocks to construct two and threedigit numbers on a place value board. Then, play a game using base ten blocks to model numbers up to 100.
Lesson Plan
Grades: PreK to 2nd, Pre K to 2nd
Number & Operations
Algebraic Thinking
Use place value understanding and properties of operations to add and subtract.
Understand place value.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.1, K.OA.A.2, 1.NBT.B.2a, 1.NBT.B.2b, 1.NBT.B.2c, 1.NBT.C.4, 2.NBT.A.1a, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7
One invention saves 30% on fuel; a second, 45%; and a third, 25%.
If you use all three inventions at once can you save 100%? If not, how much?
Problems
Grades: 6th to 8th
The Number System
Ratio & Proportion
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.3c, 7.NS.A.3
If
x^{2} + y^{2} = 36, xy = 32,
what is the positive value of x + y?
Problems
Grades: 9th to 12th
Functions
Algebra
Interpreting Functions
Reasoning with Equations and Inequalities
HSAREI.B.4b, HSFIF.C.8a
Use base ten blocks to model decimal multiplication.
Lesson Plan
Grades: 3rd to 5th
Num & Ops Base Ten
Perform operations with multidigit whole numbers and with decimals to hundredths.
5.NBT.B.7