Chelsea Cutting from Mount Gambier, South Australia, tells us about the
realworld 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
Pamela Olmstead has
been a middle school math and science teacher for 15 years at Chehalis
Middle
School (Chehalis, WA). One lesson that she has referred to all year long
is Balancing Shapes, which uses the online applet Pan Balance—Shapes.
Success Story
Anthony
incorporates Illuminations lessons into her curriculum, but she also
expands, tweaks and creates new materials to ensure these lessons are
meeting the needs of her students.
Success Story
Jessica Woolard, a graduate of the Ontario Institute for
Studies in Education of the University of Torontoher, spent part of
her summer interning for NCTM before she returned to Canada to complete
her degree in education. During that time, she helped to create and edit
lessons for Illuminations.
Success Story
In this unit, students use the area formula
for a rectangle to discover the area formulas for triangles,
parallelograms, and trapezoids. Students also consider irregular figures
whose areas can be determined by estimation or decomposition.
Prerequisite Knowledge

Students need to have a conceptual understanding of area, as well as some familiarity with the area formula for rectangles.
 Students need to have a conceptual understanding of area, as well as some familiarity with the area formula for rectangles.
Lesson Plan
In the following lessons, students
participate in activities in which they focus on connections between
mathematics and children’s literature. Three pieces of literature are
used to teach geometry and measurement topics in the mathematics
curriculum, from using and describing geometric figures to estimating
volume of figures.
These lessons were adapted from "Ideas: Mathematics
and Children’s Literature," by Martha H. (Marty) Hopkins, which appeared
in The Arithmetic Teacher, May 1993, pp. 512‑519.
Lesson Plan
Count, add, and subtract by grouping cows.
Web Interactive
Grades: Pre K to 2nd, PreK to 2nd
Number & Operations
Algebraic Thinking
Counting & Cardinality
Understand place value.
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.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
Count to tell the number of objects.
Know number names and the count sequence.
K.CC.A.1, K.CC.B.4a, K.CC.B.4b, K.CC.B.5, K.OA.A.1, K.OA.A.2, K.OA.A.5, 1.OA.B.4, 1.OA.C.6, 1.NBT.C.4, 2.OA.B.2, 2.NBT.B.7, 2.NBT.A.2
By yourself or against a friend, match whole numbers, shapes,
fractions, or multiplication facts to equivalent representations.
Practice with the clear panes or step up the challenge with the windows
closed.
This activity is now available for your phone or tablet in Google Play or App Store.
Web Interactive
Grades: 3rd to 5th, Pre K to 2nd, PreK to 2nd
Num & Ops Fractions
Measurement & Data
Geometry
Algebraic Thinking
Num & Ops Base Ten
Number & Operations
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
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.
Classify twodimensional figures into categories based on their properties.
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 multidigit arithmetic.
Generalize place value understanding for multidigit whole numbers.
Develop understanding of fractions as numbers.
Multiply and divide within 100.
Understand place value.
Analyze, compare, create, and compose shapes.
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.A.2, K.G.B.4, 2.NBT.A.3, 2.G.A.1, 3.OA.C.7, 3.NF.A.1, 3.NF.A.3c, 3.G.A.2, 4.NBT.A.2, 4.NBT.B.5, 4.NF.B.4a, 5.G.B.3, 5.G.B.4, 1.G.A.3, 2.OA.C.4, 2.G.A.2, 2.G.A.3, 3.MD.C.7b, 5.NF.B.3
Use pattern blocks to create polygon "chains" and calculate the perimeter of the trains as they get longer.
Lesson Plan
Grades: 3rd to 5th
Measurement & Data
Algebraic Thinking
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Generate and analyze patterns.
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
3.MD.D.8, 4.OA.C.5, 4.MD.A.3
Make decisions using surface area.
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.
Represent and interpret data.
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
3.MD.A.2, 3.MD.B.4, 3.MD.C.5a, 3.MD.C.5b, 3.MD.C.6, 3.MD.C.7a, 4.MD.A.2, 3.MD.C.7b, 4.MD.A.3
Students will explore theoretical
and experimental probability and the relationship between them. Students will
also graph an experiment to further explore the relationship according to the
Law of Large Numbers.
Lesson Plan
Terry Johanson, learning support facilitator for Prairie Spirit School
Division, and Kirsten Dyck, physics teacher at Saskatchewan High School,
worked together to team plan and teach an Illuminations lesson.
Success Story
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
Practice counting and adding by 10s.
Web Interactive
Grades: PreK to 2nd, Pre K to 2nd
Algebraic Thinking
Number & Operations
Counting & Cardinality
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.
Count to tell the number of objects.
Know number names and the count sequence.
K.CC.A.2, K.CC.B.4a, K.CC.B.4b, K.CC.B.4c, K.CC.B.5, K.OA.A.1, K.OA.A.2, K.OA.A.5, 1.OA.B.4, 1.OA.C.6, 1.NBT.C.4, 2.OA.B.2
Design a pattern using geometric shapes.
Web Interactive
Grades: 3rd to 5th, PreK to 2nd, Pre K to 2nd
Geometry
Algebraic Thinking
Classify twodimensional figures into categories based on their properties.
Generate and analyze patterns.
Reason with shapes and their attributes.
Analyze, compare, create, and compose shapes.
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.A.2, K.G.B.4, K.G.B.6, 1.G.A.2, 2.G.A.1, 4.OA.C.5, 5.G.B.4
Create dynamic drawings on an isometric dot grid.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th
Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Plot and connect the points, label a graph, and then create a short story that could describe the graph.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Geometry
Use properties of operations to generate equivalent expressions.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Apply and extend previous understandings of numbers to the system of rational numbers.
Graph points on the coordinate plane to solve realworld and mathematical problems.
5.G.A.1, 5.G.A.2, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.EE.A.3, 7.EE.A.2
Enlighten students about how to calculate percent of calories from fat, carbohydrates, and protein.
Lesson Plan
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