Building and Scaling Bar Graphs

Identify and name common two-dimensional shapes including circles, polygons, and curved figures.

Analyze, compare, sort, and construct 2D shapes based on their sides, vertices, lines, and angles.

Identify and name common three-dimensional solid shapes in geometric models and everyday objects.

Examine, sort, and construct with 3D solids based on their faces, edges, vertices, and physical movement properties.

Explore how single shapes and shape pairs fit together edge-to-edge without gaps or overlaps to form continuous tessellations.

Combine simpler geometric pieces to build composite figures, solve tangram puzzles, and analyze why shapes fit together.

Build foundational spatial awareness by identifying left/right, executing fractional turns, and using relative positional vocabulary.

Follow, communicate, record, and program multi-step journeys using directional symbols, mazes, and simple maps.

Use simple grid systems, coordinates, and pictorial maps to locate, describe, and plot positions.

Introduce line symmetry and reflective balance, helping learners identify vertical, horizontal, and multiple lines of symmetry in shapes and the real world.

Apply understanding of symmetry to complete drawings, craft paper cutouts, and build balanced patterns using blocks and art materials.

Collect objects and sort them by appearance, function, color, size, and shape using simple, single-attribute rules.

Classify items using multiple criteria, Venn diagrams, and Carroll diagrams, and record data using tallies and drawings.

Collect and organize data using concrete manipulatives, tally marks, and labeled pictographs with one-to-one correspondence.

Draw, scale, and verify horizontal and vertical bar graphs on grid paper and using digital tools.

Read, interpret, compare categories, and answer questions about information presented in charts, graphs, and tables.

Introduce and apply chance vocabulary—impossible, unlikely, equal chance, likely, and certain—to describe everyday events and order them along a likelihood line.

Make predictions, conduct simple chance experiments using manipulatives like spinners and colored cubes, and explore the concept of fair and unfair games.