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
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
Use unit rates or proportions and think critically about the real world applications of a baking problem.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Analyze proportional relationships and use them to solve real-world and mathematical problems.
7.RP.A.3, 7.RP.A.2a
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
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
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
Explore an open-ended problem with multiple solutions and multiple entry points.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Geometric Measurement and Dimension
HSG-GMD.A.3
Use operations to discover patterns with integers in magic squares.
Lesson Plan
Grades: Pre K to 2nd
Algebraic Thinking
Number & Operations
Add and subtract within 20.
Use place value understanding and properties of operations to add and subtract.
Understand and apply properties of operations and the relationship between addition and subtraction.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.5, 1.OA.B.4, 1.OA.C.6, 1.NBT.C.4, 2.OA.B.2
Practice counting large numbers by grouping herds of cows into tens and leftover ones.
Lesson Plan
Grades: Pre K to 2nd
Number & Operations
Counting & Cardinality
Understand place value.
Know number names and the count sequence.
K.CC.A.1, 1.NBT.B.2a, 1.NBT.B.2b, 1.NBT.B.2c, 2.NBT.A.1a, 2.NBT.A.2
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
See first hand the sheer size of 1 million while introducing sampling and its use in mathematics.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Ratio & Proportion
Use random sampling to draw inferences about a population.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.3a, 7.RP.A.3, 7.SP.A.1, 7.SP.A.2
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
Play card and computer games by adding fractions to make 1.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
The Number System
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.
7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d, 7.NS.A.3, 7.EE.B.3
Play the role of researchers who field test the Alexander Formula—a formula that uses paleontology data to estimate dinosaur running velocities.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Ratio & Proportion
Stats & Probability
Functions
Expression/Equation
Measurement & Data
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Summarize and describe distributions.
Represent and analyze quantitative relationships between dependent and independent variables.
Reason about and solve one-variable equations and inequalities.
Represent and interpret data.
3.MD.B.4, 6.EE.B.6, 6.EE.C.9, 6.SP.B.5b, 8.F.B.4, 8.SP.A.1, 8.SP.A.2, 8.SP.A.3, 7.RP.A.2c
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 class schedules to create time-distance graphs.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Stats & Probability
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Summarize and describe distributions.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.5, 8.EE.B.6, 8.F.B.4, 8.F.B.5, 6.SP.B.5b, 7.RP.A.2b, 7.RP.A.2d
Develop understanding of the terms quadrilateral, parallel, and right angle.
Lesson Plan
Grades: 3rd to 5th
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Classify two-dimensional figures into categories based on their properties.
Reason with shapes and their attributes.
3.G.A.1, 4.G.A.2, 5.G.B.3, 5.G.B.4, 4.G.A.1
Manipulate and fold three paper circles to explore four circle theorems.
Lesson Plan
Grades: 9th to 12th
Geometry
Circles
HSG-C.A.2
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