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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
    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 real-world and mathematical problems.
    Solve real-world 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 real-life and mathematical problems involving angle measure, area, surface area, and volume.
    7.G.B.4, HSG-GMD.A.1
    How many different triangles are there in the figure?
    Problems
    Grades: 3rd to 5th
    Geometry
    Classify two-dimensional 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 multi-digit whole numbers.
    4.NBT.A.2
    A rectangular wooden block (not necessarily a cube) is painted on the outside and then divided into one-unit 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 real-world 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 student-centered 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 real-world 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 three-digit 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 x2 + y2 = 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
    HSA-REI.B.4b, HSF-IF.C.8a
    Use base ten blocks to model decimal multiplication.
    Lesson Plan
    Grades: 3rd to 5th
    Num & Ops Base Ten
    Perform operations with multi-digit whole numbers and with decimals to hundredths.
    5.NBT.B.7
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