Measurement & Geometry
Dena McElligott demonstrates a manipulative that helps students see the relationships among the customary units of liquid measure.
Karen Cribbs, Hanover County Public School secondary mathematics specialist, demonstrates a hands-on introduction to volume and surface area.
PERIMETER & AREA:
1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m2), square kilometer (km2), square inch (in2), square yard (yd2), or square mile (mi2).
1.2 Recognize that rectangles that have the same area can have different perimeters.
1.3 Understand that rectangles that have the same perimeter can have different areas.
1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
A visual approach to the concepts of linear, square and cubic units.
TWO-DIMENSIONAL COORDINATE GRID:
2.1 Draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3 x and connect them by using a straight line).
Click on the arrow keys to guide Billy to the coordinates of the hidden grub ten times.
Find the Hurkle in as few guesses as possible.
On-line math workseet generator.
2.2 Understand that the length of a horizontal line segment equals the difference of the x- coordinates.
2.3 Understand that the length of a vertical line segment equals the difference of the y- coordinates.
Sample video from linear equations and inequalities in two variables
PLANE GEOMETRIC FIGURES:
Classify each triangle by the relative lengths of its sides.
Summary of figures and polygons
Drag all of the polygons to the left and any non-polygons to the right.
Take this quiz on the various shapes.
ANGLES:
3.5 Know the definitions of each kind of angle, including a right angle, an acute angle, and an obtuse angle. Understand that 90°, 180°, 270°, and 360° are associated, respectively, with 1/4, 1/2, 3/4, and full turns.
Summary of angles and angle terms.
Calculate to get as many hole-in-ones as possible.
Identify and classify angles as right, obtuse, or acute.
Sort (click and drag) the angles into the appropriate containers.
Use the figures to answer the questions.
Take this quiz on measuring turns.
SOLID GEOMETRIC FIGURES:
3.6 Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids, cylindars, cones, cubes, spheres, and tetrahedrons) in terms of the number and shape of faces, edges, and vertices; interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.
Identifying speres, cylindars, cones and cubes.
Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices.
Use nets to recognize the relationship between planes and solids.
Interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.
Click on the solid figure created when the net is folded.
Rotate the building until you get the right side view (see the same shape).
NutShell Math
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