Develop mental images and spatial sense of quantity, shape, location and orientation to make estimates, distinguish patterns and reason with relationships. Apply concepts and properties of space, tools of representation, processes of reasoning and communicate solutions.
Anchor Standard 8 emphasizes spatial reasoning.
Students will visualize, describe, and sketch a variety of geometric shapes, including triangles, quadrilaterals, and 3D shapes. They will draw and recognize the nets of cubes. Students will also apply translations, rotations, and reflections to geometric shapes.
Finally, students will visualize and sketch fractions and decimals using a variety of models.
Describe various 3D shapes using four different color cubes up to 10 cubes.
Sketch front, top and side views of 3D shapes of more complex shapes.
Determine the number of cubes in a 3D object where not all cubes are visible.
Visualize, describe and sketch with a straight edge, protractor and/or technology, quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms and kites.
Describe and sketch triangles, including equilateral, right, obtuse and acute triangles.
Draw and recognize the nets of cubes.
Use the concept of orientation to apply translations, rotations 90 degrees clockwise and counterclockwise and reflections.
Visualize and model relative size of quantities up to 1,000,000 using number lines and other tools, using 1, 10, 100, 1,000, 10,000, 100,000 and 1 million.
Visualize and represent multiplication as a comparison up to 10x10.
Sketch halves, thirds, fourths, fifths, sixths, eighths, tenths and twelfths on number lines, circles and rectangles.
Use mental images to estimate sums and differences of fractions.
Visualize and sketch decimals in tenths and hundredths on number lines and 10x10 grids.
Send students on a search for their favorite leaf (or another natural object, but leaves work best!). Set up an XY plane for each student/team: you can use chalk, draw in the snow, or print them ahead of time. Prompt students to practice rotations, translations, and reflections with their leaf of choice on the XY plane.
This lesson could serve as introduction or review. To introduce, model each transformation for your students before their independent practice. To review, challenge students to work on their own!
Nature is made out of 3D shapes! Go on a hike or walk around your school to search for 3D shapes in nature. Students might bring their notebooks to refer to their notes, or you may want to bring a container with 3D models on your walk for easy reference.
This activity could easily be utilized as a game: teams of students can earn points for each type of 3D shape that they find! Bonus points if they can justify how a natural object consists of multiple 3D shapes.