College Board
2012 AP® Computer Science A Free-Response Questions
There's really no better way to become acquainted with the AP test format than to look at past exams. A set of four free-response questions assesses knowledge of computer science skills. They cover a variety of topics including how to...
College Board
2014 AP® Computer Science A Free-Response Questions
Just because a question was on a previous exam doesn't mean it will show up on a future one, but at least it helps to review. Learners try out some free-response questions for AP Computer Science A. The questions all come from the 2014...
College Board
2015 AP® Computer Science A Free-Response Questions
AP exams don't have to be a mystery. Scholars look at the free-response questions for the 2015 AP Computer Science A exam. They get a chance to see actual AP questions involving one- and two-dimensional arrays of integers and the design...
Curated OER
Shapes Around Us
Students identify basic two-dimensional shapes. They are able to identify the four basic two-dimensional shapes: squares, rectangles, triangles, and circles. Students write/draw in their learning logs a reflection of what they noticed...
Curated OER
Finding Polygons in Cubist Art
Fourth graders explore geometric properties and relationships in a two-dimensional work of art. They first search for and identify polygons in a Cubist painting and then use polygons to create their own Cubist portrait of a classmate.
Curated OER
Three-Dimensional Play Dough
Fourth graders make models of three-dimensional figures and then use these play dough figures to observe and count the vertices, edges, and faces of the figure.
Curated OER
A GREAT SPORT
Students explore how diverse groups and individuals have contributed to the cultural development of Canada, and then produce two-dimensional works of art.
Curated OER
Three-Dimensional Objects
Fourth graders view and identify three-dimensional figures. They analyze and discuss various figures, build three-dimensional figures, and complete various worksheets and worksheet discussion questions.
Curated OER
Numerical Analysis: Dimensional Vectors
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
Curated OER
Where in the World is Hawaii?
Students compare a globe and a two-dimensional world map and explore how they both represent the planet Earth. They locate the Hawaiian Islands on the globe or the world map and describe how the geographical position is unique.
Curated OER
Design Explorations: Frieze Patterns
Students will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
Curated OER
Graphs, Three-Dimensional Coordinates
In this three-dimensional graphing worksheet students identify the coordinates of the vertex of shown figures. The first three shapes show all answers. The following 8 shapes are on coordinate dot paper, with all three axis shown and...
Curated OER
3 dimensional shapes
Students play a bingo game to classify 3 dimensional shapes. In this 3 dimensional shapes lesson plan, students identify, describe, and classify shapes by playing a bingo game.
Curated OER
Complex Analysis: Point Sets in the Complex Plane
In this point set worksheet, students explore definitions describing planar point sets. They use the definitions to describe examples of point sets. This two-page worksheet contains four problems and 15 definitions.
Pennsylvania Department of Education
Creating Polygons
Students describe, make and compare polygons. In this creating polygons instructional activity, students identify properties of quadrilaterals and describe common features of two dimensional shapes.
Curated OER
2D Shapes (1)
In this shape recognition worksheet, students study each of the shapes and then write the names of the two-dimensional polygons on the lines.
Curated OER
Edible Geometry
Middle schoolers examine a chart that lists the main characteristics of polygons and 3 dimensional figures. They make examples of the polygons and figures using pretzels and gum drops showing how the gum drops are vertices and the...
Curated OER
What Can We Measure about Chemicals?
In this measurement and converting learning exercise, students solve ten problems using dimensional analysis to convert from one unit of measurement to another.
Curated OER
WS 4.8-Review
In this chemistry review worksheet, students solve a variety of problems including balancing equations, solving for unknowns using dimensional analysis, finding percent yields, limiting reactants and empirical formulas.
Curated OER
Unit Conversions
In this unit conversion worksheet, students solve six problems where they convert from one metric unit to another using the process of dimensional analysis.
Curated OER
WS 1.9 Review-Calculations
In this calculations review learning exercise, students convert from one metric unit to another, they identify significant figures in numbers, they find density of substances, and they solve problems using dimensional analysis.
Curated OER
Squares
Students identify shapes that are squares. For this square lesson, students identify the square items and then sing songs about squares.
Curated OER
Basic Right Triangles
Elementary schoolers examine the attributes of triangles. In this triangle lesson plan, learners compare regular triangles and right triangles. They explore vertices and angles and investigate obtuse and acute angles. Pupils draw...
Curated OER
Classifying Triangles Based On Properties of Angles
The interactive lesson plan featured here calls for the use of a Smartboard for sorting and classifying shapes. Then, pupils discuss the rules they followed for sorting their shapes, particularly focusing on the properties of angles....
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