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Activity
Illustrative Mathematics

Comparing Products

For Teachers 5th Standards
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
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Lesson Plan
Illustrative Mathematics

Converting Square Units

For Teachers 5th - 7th Standards
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
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Lesson Plan
University of Houston

Volume for Rectangular Prisms

For Teachers 4th - 6th Standards
Upper graders define perimeter and area of a rectangle, estimate numbers of cubes and determine the maximum amount that will fit in a given space. In this math lesson, pupils complete related worksheet, build prisms and find volume and...
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Lesson Plan
Curated OER

Area of Composite Figure.

For Teachers 10th
Tenth graders predict the shape of a geometric figure in 3D. In this geometry lesson, 10th graders construct 3D shapes to perfect their knowledge of measuring and predicting. This assignment is also available as an online interactive...
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Lesson Plan
Texas Instruments

The Determinant of a Matrix

For Teachers 9th - 12th Standards
Students calculate the determinant. In this algebra lesson, students find the determinant and use to calculate the area of a triangle. They calculate the area of a quadrilateral in a plane.
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Lesson Plan
Curated OER

Riemann Sums

For Teachers 10th - 12th Standards
Learners calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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Lesson Plan
Curated OER

Pick's Theorem

For Teachers 9th - 11th
Learners investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
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Lesson Plan
Curated OER

Graphing Data

For Teachers 8th - 9th
Students graph lines in a coordinate plane. In this geometry lesson, students graph lines on a coordinate plane, and identify the slope. They calculate the volume, area and perimeters of the shapes created on a coordinate plane.
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Lesson Plan
Curated OER

Volume of Prisms

For Teachers 9th - 10th
Students calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
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Lesson Plan
Curated OER

Measurement Investigations 1

For Teachers 5th
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
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Lesson Plan
Curated OER

Circling the Square: Boxing Ring Match

For Teachers 9th - 12th
High schoolers analyze the specifications and construction of modern boxing rings. They calculate the area of circles and rectangles by different methods. They compare and contrast different areas in the ring used for attack and defense.
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Lesson Plan
Curated OER

Parachutes: Is it Surface Area or Shape?

For Teachers 6th - 7th
Students investigate how to make a good parachute. For this physics lesson, students observe the motion of parachutes as it falls and measure the time. They collect data and calculate the average descent time for each canopy shape.
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Lesson Plan
Curated OER

Trapezoid and Midpoint Rule

For Teachers 9th - 11th
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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Lesson Plan
Curated OER

Review of Triangles

For Teachers 8th - 10th
Students investigate the Pythagorean Theorem. In this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
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Lesson Plan
Curated OER

Pythagorean Circles

For Teachers 9th - 10th
Students solve problems using smaller steps. In this geometry lesson, students find the diagonals of rectangles and the area of the annulus between two circles. They are given the starting point and the radius.
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Lesson Plan
Curated OER

Data-gathering Activities Relating to Trees in Their Environment

For Teachers 4th - 6th
Students gather data relating to trees in their environment. In this biology lesson plan, students determine heights of trees and their ages. A canopy map will indicate optimal growing areas for the tree.
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Lesson Plan
Curated OER

Fun with Ecology

For Teachers 2nd - 5th
Students explore their environment. Given a question and a scenario, they conduct a field study of a designated area. In that area, they count and tally the number of insects that are present.
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Lesson Plan
Curated OER

Which container holds a larger amount of popcorn?

For Teachers 6th - 7th
What does popcorn have to do with math?  Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
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Lesson Plan
Curated OER

The Golden Ratio

For Teachers 9th - 11th
Young scholars solve problems using ratios and proportions. In this algebra lesson plan, students verify proportions, solve for the unknown and use real life scenario to model proportion.
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Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
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Lesson Plan
NY Learns

Investigation - Looking at Polygons

For Teachers 6th - 8th Standards
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
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Lesson Plan
Curated OER

Pythagorean Theorem by Graphic Manipulation

For Teachers 7th - 9th
There are many different ways to show a proof of the Pythagorean Theorem.  Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
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Lesson Plan
Curated OER

I Can Build It.....Yes I Can!

For Teachers K
Kindergartners listen to a story read by their teacher, then use magnetic shape pieces to construct simple designes. They "build" their own house using pre-cut paper shapes. This age-appropriate lesson would be an excellent choice for...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 7 Mathematics Module 3

For Students 7th Standards
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...

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