This short video and interactive assessment activity is designed to give fourth graders an overview of forming figures with cutouts.
Accuracy of measurement in navigation depends very much on the situation. If a sailor's target is an island 200 km wide, sailing off center by 10 or 20 km is not a major problem. But, if the island were only 1 km wide, it would be missed if off just the smallest bit. Many of the measurements made while navigating involve angles, and a small error in the angle can translate to a much larger error in position when traveling long distances.
Given a scale drawing, students compute the lengths in the actual picture using the scale factor.Given a scale drawing, students compute the lengths in the actual picture using the scale factor.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. The purpose of this first task is to see the relationship between the side-lengths of a cube and its volume.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. In this iteration, we do away with the lines that delineate individual unit cubes (which makes it more abstract) and generalize from cubes to rectangular prisms.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. Here, we are given the volume and are asked to find the height.
The purpose of this series of tasks is to build in a natural way from accessible, concrete problems involving volume to a more abstract understanding of volume. This problem is based on ArchimedesŐ Principle that the volume of an immersed object is equivalent to the volume of the displaced water.
For this lesson, students know how to compute the average rate of change in the height of water level when water is poured into a conical container at a constant rate.
In this lesson, students compute volumes of three-dimensional objects composed of right prisms by using the fact that volume is additive.
This electronic version of Concentration reinforces students' understanding of shapes. Students can play with clear panes or with the windows closed to match shapes with their names. The game can be played with one or two players and can also be used to practice addition and subtration facts, fractions and multiplication.
In this lesson, students know the definition of congruence and related notation. Students know that to prove two figures are congruent there must be a sequence of rigid motions that maps one figure onto the other. Students know the basic properties of congruence are similar to the properties for all three rigid motions (translations, rotations, and reflections).
In this lesson, students construct nets of three-dimensional objects using the measurements of a solid’s edges.
An interactive applet and associated web page that show how to construct a 30 degrees angle with a compass and straightedge. The animation can be single-stepped or run as a continuous movie. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that show how to construct a 45 degrees angle with a compass and straightedge. The animation can be single-stepped or run as a continuous movie. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
An interactive applet and associated web page that show how to construct a 60 degrees angle with a compass and straightedge. The animation can be single-stepped or run as a continuous movie. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
This task is for instruction purposes. Part (b) is subtle and the solution presented here uses a "dynamic" view of triangles with two side lengths fixed. This helps pave the way toward what students will see later in trigonometry but some guidance will likely be needed in order to get students started on this path.
This short video and interactive assessment activity is designed to teach first graders about counting rectangles, squares, and triangles in composite figures.
This short video and interactive assessment activity is designed to teach fourth graders about counting right angles in a turn.
This challenging problem and brainteaser gives first graders an opportunity to compose and decompose squares.
In this task, students are presented shown a square with nine blocks inside. Students are asked to tell the number of squares there are in the picture.