Teach Engineering
Boxed In and Wrapped Up
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The last day of...
Curated OER
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
Curated OER
Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
Curated OER
Area & Perimeter Assessment And Practice
Using a pre-test, this instructional activity starts by establishing differentiated learning groups. Each group practices determining area and perimeter using interactive web sites small groups are then pulled aside and given additional...
Curated OER
Math Activity File
Third graders describe the difference between area and volume and also explain how various units of measure relate to one another.
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
EngageNY
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
Insurance Zebra
Insurance Curriculum for Middle and High School Teachers
Liability, deductible, premium ... what do these words mean, and how do they relate to insurance? Scholars complete a pre-test, matching vocabulary activity, and insurance timeline worksheet and become familiar with these terms. Next,...
West Contra Costa Unified School District
Finding the Equation of a Circle
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles they...
Teachers Network
A World of Symmetry: Math-Geometry
Define and identify the three basic forms of symmetry translation, rotation, and glides with your class. They cut out and arrange paper pattern blocks to illustrate symmetry, create a Cartesian graph, and design a rug with a symmetrical...
Curated OER
Area Model of Multiplication Using Base 10 Manipulatives
Explore two-digit multiplication with your class as they work in groups to build models of two-digit multiplication using base 10 manipulatives. They construct rectangles replacing standard numbers with equivalent place values using the...
EngageNY
Decimal Expansion of Pi
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges.
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? In this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition, they...
Mascil Project
Arranging Tables for a Birthday
Planning a party of 45 guests may be more complicated than it would seem. Learners must design the space in accordance with these constraints about the space available in the room. They need to calculate area, circumference, and linear...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
Kentucky Department of Education
Multiplication Grade 3 Formative Assessment Lesson
Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...
Teach Engineering
Energy Efficiency
Using the resource is probably the most efficient way to learn about efficiency. The 18th installment of a 25-part Energy Systems and Solutions unit has pupils investigate energy efficiency through discussions and associated activities....
Curated OER
Comparing Area and Perimeter
Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.
Curated OER
Area
Third graders find areas of rectangles by using square units, apply knowledge to real-life situations, and simplify method of counting square units by multiplying the length times the width.