Explains how to solve two different quadratic equations using the completing the square method. [14:06]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Video tutorial shows how to calculate the area around a circle that is inside a square. [4:22]

Video tutorial uses examples to provide practice solving square root problems.(Part 1) [11:32]

How can you represent the area of a diagram using numerical expressions? Students apply their knowledge of area and order of operations to match area diagrams with numerical expressions.

How can you represent the area of a diagram using numerical expressions? Students connect their knowledge of area and equivalent expressions to the commutative and distributive properties for day 2 of this investigation.

This site provides six practice activities to learn how to partition a rectangle into rows and columns of same-size squares and count to find the total number of them.

This video tutorial describes how to classify quadrilaterals using key characteristics such as parallel sides and right angles. [4:27]

Quadrilaterals are explored in this video lesson. The tutorial describes the characteristics of various quadrilaterals. Students can check their understanding with an assessment. [6:17]

This lesson [8:34] will demonstrate how to use slope, midpoint, and distance formulas to determine, from the coordinates of the vertices, if a quadrilateral is a square in a coordinate plane. It is 1 of 2 in the series titled "Coordinate Geometry of Squares."

Video tutorial discusses 6 types of quadrilaterals: square, rectangle, rhombus, parallelogram, trapezium, and kite. [3:21]

Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.

Through this lesson and its two associated activities, students are introduced to the use of geometry in engineering design, and conclude by making scale models of objects of their choice. The practice of developing scale models is often used in engineering design to analyze the effectiveness of proposed design solutions. In this lesson, students complete fencing (square) and fire pit (circle) word problems on two worksheets—which involves side and radius dimensions, perimeters, circumferences and areas—guiding them to discover the relationships between the side length of a square and its area, and the radius of a circle and its area. They also think of real-world engineering applications of the geometry concepts.

Explains the basic concept of a square inscribed in a circle with step-by-step instructions and methods for solving specific problems on your own relating to this topic.

Explains the basic concept of a square with step-by-step instructions and methods for solving specific problems on your own relating to this topic.

What types of 2D and 3D shapes make up the products all around you? This challenge will explore how different shapes can be put together to create a product. All the products that humans design and produce are a combination of different shapes. To design a product, engineers and designers must understand how combining, subtracting and adding shapes can make new and unique objects. This challenge will have students use a 3D design tool to create a new and unique shape.

This is a 60-minute lesson that includes a self-paced interactive module and classroom activities. The teacher guide includes a challenge sequence (timeline), relevance to standards, materials list, assessment, resources like cut-outs template, and learning extensions.

Lesson objectives: (1) Explore and interact with 3D shapes in a design plane. (2) Compose unique 3D shapes by decomposing other shapes. (3) Build a 3D shape from a 2D net.

Calculate the Area of a Trapezoid This Concept Handheld Software Application reviews the definition and area formula for the rectangle, square, parallelogram, triangle, trapezoid, and circle.

In this 20-day module students explore area as an attribute of two-dimensional figures and relate it to their prior understandings of multiplication. Students conceptualize area as the amount of two-dimensional surface that is contained within a plane figure.  They come to understand that the space can be tiled with unit squares without gaps or overlaps.  They make predictions and explore which rectangles cover the most area when the side lengths differ.  Students progress from using square tile manipulatives to drawing their own area models and manipulate rectangular arrays to concretely demonstrate the arithmetic properties. The module culminates with students designing a simple floor plan that conforms to given area specifications.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

In this video segment [1:55] from Cyberchase, the CyberSquad tessellates hexagons to finish crossing the lava river.

Brush up on your math skills relating to the types of quadrilaterals then try some practice problems to test your understanding.