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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Lesson Plan
Curated OER

Rounding and Subtracting

For Teachers 6th - 8th Standards
Common Core is all about getting your learners to open their minds and think about the why and how. This problem has them thinking about unknown numbers and their relationship with one another when we round and...
Lesson Plan
Curated OER

Stock Swaps, Variation 3

For Teachers 6th - 8th Standards
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
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Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Lesson Plan
Curated OER

Tangent Lines and the Radius of a Circle

For Teachers 9th - 12th Standards
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution. 
Lesson Plan
California Mathematics Project

Reflections

For Students 8th - 10th Standards
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
Lesson Plan
Curated OER

Consecutive Numbers

For Teachers 5th - 6th
Like all of the Problem Solving units, this one aims to introduce pupils to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. In this unit we see how a...
Lesson Plan
Curated OER

Addition Review

For Teachers 8th - 12th
Students explore the concept of addition as used in the subject of Algebra while reviewing the different methods using a number line. The lesson includes examples for students to use for scaffolding for group work or whole class...
Lesson Plan
Curated OER

Discovering Pi

For Teachers 6th
Sixth graders measure circumference and diameter to the nearest eighth of an inch, record measurements on a spreadsheet, and use the internet to complete a "scavenger hunt" of facts concerning pi.
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 2)

For Students 9th - 10th Standards
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every...
Lesson Plan
Curated OER

Working With Equations

For Teachers 9th - 12th
Students create a mathematical formula to help plan ration supplies for a polar expedition. Using basic algebra skills, students identify the variables in planning for rations. They create an equation to help plan the expedition....
Lesson Plan
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Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Lesson Plan
Curated OER

Addition Stories

For Teachers 1st
First graders incorporate language expressions, such as first, then, and together into a story and write the math equations that they represent. Concepts for the process of addition are developed using manipulatives, modeling, and...
Lesson Plan
Curated OER

Using the Newspaper to Teach Division and Time Conversion

For Teachers 5th - 7th
Students use classified ads to select a career. In this math instructional activity, students convert the listed salary to an hourly, yearly, weekly and monthly rate. Students explain the process they used to find the various rates.
Lesson Plan
Bantam Books

The Tempest: Chalk Talk

For Teachers 9th - 12th Standards
Discussion doesn't always need to be spoken. Before you begin The Tempest by William Shakespeare, have kids connect their ideas and experiences to central questions of the play with a silent discussion activity. Once they have...
Lesson Plan
Curated OER

Graphing Linear Equations

For Teachers 9th
Ninth graders review the information that they have already learned with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...
Lesson Plan
Curated OER

Surface Areas of Prisms, Pyramids and Cylinders

For Teachers 7th - 8th
Students identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use Internet...
Lesson Plan
Curated OER

Application of Graph Theory

For Teachers 9th - 11th
Students investigate different online tutorials as they study graphing. In this graphing lesson, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.
Lesson Plan
Curated OER

Boxing On

For Teachers 3rd - 4th
Students participate in five center activities in which they construct three dimensional objects using cubic centimeter manipulatives such as sugar cubes and toothpaste boxes. They determine the volume of the objects. They build a model...
Lesson Plan
Curated OER

Six Circles

For Teachers 5th - 6th
Students develop the skills of problem solving through looking at situations mathematically. The lesson introduces students to the concepts of theorems and proofs as part of how one looks at mathematical problems.
Lesson Plan
Curated OER

In The Garden

For Teachers 6th - 8th
Learners examine symmetry and transformation concepts. They create patterns that translate, reflect and rotate. Students participate in a variety of activities that explore transformation concepts through the context of a garden.
Lesson Plan
Curated OER

Exponent Power

For Teachers 6th - 8th
Students explore multiplication and division problems using exponents. Students examine positive, negative and zero powers. They relate powers to geometric sequences. Students devise strategies and discover rules of exponents.
Lesson Plan
Curated OER

Building With Triangles

For Teachers 4th
Fourth graders use two different techniques to construct triangles with specific dimensions. They determine how to construct nets for three-dimensional objects focusing on those made with equilateral triangles. They are able to name the...
Lesson Plan
Curated OER

Money for starters

For Teachers 1st - 2nd
Students compare the values of coins and paper money. They read prices, read and write any 2-digit number. They model and explain addition calculations with a sum of up to 20.