The+Michele+and+Jessicas'+Pre-K+through+2nd+grade+page

> What exactly did we do with these programs ? >> Nothing about 3D
 * Geometry**
 * **Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships**
 * Recognize, name, build, draw, compare,and sort two- and three-dimensional shapes.
 * *** Using programs on the calculator** and computer
 * Sketchpad
 * Smilemath
 * Exploredraw
 * Scratch?
 * Recognizing and sorting different shapes by their differences and similarities.
 * Polygon- A simple closed curve with straight sides.
 * Triangle- A polygon that has three sides and three angles that equal 180 degrees. What kinds of triangles?
 * Quadrilateral- A polygon with four sides What kinds of quads?
 * Using Venn diagrams to relate shapes to one another. For example?
 * Describe attributes and parts of two- and three-dimensional shapes.
 * Side
 * length
 * degree at which two sides meet
 * amount
 * Knowing what the difference between a line, ray and line segment is. How does this connect?
 * A line goes on forever.
 * A ray has a start point but no end point.
 * A line segment has two endpoints.
 * Investigate and predict the results of putting together and taking apart two- and three-dimensional shapes.
 * Transforming shapes to create other polygons. These other polygons include
 * Triangles can be reflected into kites, rhombus, squares, and parallelograms.
 * Breaking a shape down into other shapes to help find area or to discover area formulas How did we do this? You were to include how these ideas were developed?
 * What happened to the tangram?


 * Specify locations and describe spatial relationships using coordinate geometry and other representational system
 * **Describe, name, and interpret relative positions in space and apply ideas about relative position.**
 * **Direction of angles This is not an expectation of NCTM. What is it then? **
 * **The box placed in the corner of a right angle signifies that it is a right angle.**
 * **The Arc mark tells you what angle you want to measure. (outside or inside.)**

>> ** A listing but no reference to anything we did in class **
 * Describe, name, and interpret relative positions in space amd apply ideas about relative position.
 * Using a coordinate grid system to place points or shapes. ** In what activity did we do this? Describe. **
 * Describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance.
 * Using slope (rise over run)
 * Directions-Left, right, forward, backward, up, down
 * Distance-ft, in, cm, mm, yrds, meters
 * Following the arrow and length of the arrow when translating a figure
 * Find and name locations with simple relationships such as "near to" and in coordinate systems such as maps
 * **Apply transformations and use symmetry to analyze mathematical situations**
 * **Recognize and apply slides, flips, and turns**
 * Slides
 * ** when a figure moves horizontally the x coordinates will change but not the y coordinates. **
 * when a figure moves horizontally the x coordinates will change but not the y coordinates.
 * when a figure moves horizontally the y coordinates will change but not the x coordinate
 * when a figure moves diagonally along the (x,y) the x and y coordinate will change the same amount
 * **Flips**
 * when reflecting over line y = x the number value of the x and y coordinates flip. So (x, y) --> (y, x)
 * when reflecting over the y-axis y coordinates stay the same and x coordinates become opposite. So (x, y) --> (-x, y)
 * when reflecting over the x-axis x coordinates stay the same and y coordinates become opposite. So (x, y) --> (x, -y)
 * **Turns**
 * two reflections make a rotation
 * to turn an object 90 degrees (x,y) --> (-y,x)
 * to turn an object 180 degrees (x,y) --> (-x,-y)
 * to turn an object 270 degrees (x,y) --> (y,-x)
 * to turn an object 270 degrees (x,y) --> (y,-x)

>> Apply appropriate techniques, tools, and formulas to determine measurements **
 * **Recognize and create shapes that have symmetry.**
 * Using Sketchpad to rotate and reflect triangles to form quadrilaterals and triangles that have symmetry.
 * Folding to compare angles and/or side lengths.
 * Using patty paper to measure a shape.
 * Use visualization, spatial reasoning, and geometric modeling to solve problem
 * Create mental images of geometric shapes using spatial memory and spatial visualization.
 * Recognize and represent shapes from different perspectives.
 * **Relate ideas in geometry to ideas in number and measurement**
 * You don't have all of the expectations listed from the Standard. **
 * Measurement
 * Understand measurable attributes of objects and the units, systems, and processes of measurement
 * Recognize the attributes of length, volume, weight, area, and time
 * Length- what we want to measure.
 * Compare and order objects according to these attributes.
 * Understand how to measure using nonstandard and standard units.
 * Wedges
 * * Select an appropriate unit and tool for the attribute being measured.
 * Angles-protractor/turn
 * Sides-ruler/length
 * **Recognize geometric shapes and structures in the environment and specify their location.
 * **Recognize geometric shapes and structures in the environment and specify their location.
 * Measure with multiple copies of units of the same size.
 * Patty paper folded into a wedge shape to measure the size of an angle.
 * Use repetition of a single unit to measure something larger than the unit, for instance, measuring the length of a room with a single meterstick.
 * Use tools to measure
 * Rulers- Measures length or distance.
 * Protractors- Measures the degree of an angle.
 * Mirras- Used to reflect a figure.
 * Angle rulers- Measures both the size of an angle and lengths.


 * * Develop common referents for measures to make comparisons and estimates
 * Using any form of meters to measure the length or distance.
 * Using degrees to measure the size of an angle.
 * You logged on but there are no additions related to similarity, area, 3D shapes, nets, surface area, not much of anything we discussed in the last 3 weeks. **