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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
Answers the questions, "When will I ever need to solve a system of equations?"
Lesson Plan
Grades: High School, 9th to 12th
Algebra
Reasoning with Equations and Inequalities
Creating Equations
HSA-CED.A.3, HSA-REI.C.6
Physical and virtual manipulatives are used to explore and discover conic sections by cutting a cone with a plane.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Expressing Geometric Properties with Equations
HSG-GPE.A.1, HSG-GPE.A.2, HSG-GPE.A.3
Use a series of 3 hands-on activities to develop and reinforce students' understanding of hundredths as fractions, decimals, and percentages.
Lesson Plan
Grades: 3rd to 5th
Num & Ops Fractions
Num & Ops Base Ten
Geometry
Measurement & Data
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Understand the place value system.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Reason with shapes and their attributes.
Develop understanding of fractions as numbers.
Understand decimal notation for fractions, and compare decimal fractions.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
3.MD.C.7b, 4.NF.C.5, 4.NF.C.6, 3.NF.A.1, 3.NF.A.3c, 3.G.A.2, 4.NBT.B.5, 4.NF.B.4a, 5.NBT.A.3a, 5.NF.B.3
Relate linear equations and graphs in a game of ships and attacks.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Functions
Expression/Equation
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.
8.EE.B.5, 8.F.B.4, 7.RP.A.2b, 7.RP.A.2d
Construct a scale drawing of a regulation dartboard using geometry and measurement.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1
Use polydrons to build nets and create the most appealing fish tank.
Lesson Plan
Grades: 9th to 12th, High School, 6th to 8th
Geometry
Congruence
Geometric Measurement and Dimension
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.2, 6.G.A.4, 8.G.C.9, HSG-GMD.A.3, HSG-CO.A.1
Use the formula for the volume of a cylinder and convert it into the same volume for rectangular prisms while trying to minimize the surface area.
Lesson Plan
Grades: 6th to 8th
Geometry
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.2, 6.G.A.4, 8.G.C.9
Explore decimal place value by using blocks other than the unit cube to represent one whole.
Lesson Plan
Grades: 3rd to 5th
Num & Ops Base Ten
Understand the place value system.
Generalize place value understanding for multi-digit whole numbers.
4.NBT.A.1, 5.NBT.A.1, 5.NBT.A.3a
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
Compute with whole numbers and decimals in order to buy an aquarium for the class.
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
Use volume and unit rates to determine best values for hay bales.
Lesson Plan
Grades: 6th to 8th
Geometry
Expression/Equation
The Number System
Ratio & Proportion
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
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.1, 6.RP.A.2, 6.RP.A.3b, 6.RP.A.3c, 6.G.A.2, 7.RP.A.1, 7.NS.A.3, 7.EE.B.3, 8.G.C.9
Use manipulative blocks and counters to explore equations such as 3x = 2x + 12.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
Use properties of operations to generate equivalent expressions.
Reason about and solve one-variable equations and inequalities.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.B.4a, 6.EE.B.5, 8.EE.C.7a, 8.EE.C.7b, 6.EE.A.3, 6.EE.B.6, 7.EE.A.1, 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
Grades: High School
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
Make predictions and conduct experiment to determine how many pebbles the crow would need to add to the pitcher in order to bring the water to drinking height.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Expression/Equation
Stats & Probability
Functions
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Represent and analyze quantitative relationships between dependent and independent variables.
Reason about and solve one-variable equations and inequalities.
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.B.4a, 8.EE.B.6, 8.F.B.4, 8.SP.A.2, 8.SP.A.3, 6.EE.B.6, 6.EE.C.9, 7.RP.A.2b, 7.RP.A.2c
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
Use research on the Amazon deforestation to determine whether it is occurring exponentially.
Lesson Plan
Grades: 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7