KP Ten-Frame Tiles
U.S. Patent 8,529,266
KP Ten-Frame Tiles is a system of ten-frame platforms and tiles through which students physically and visually experience the structure and applications of the base-10 number system.
Invented at KP Mathematics, KP Ten-Frame Tiles are the latest advance in base-ten manipulatives. As students group the tiles into increasingly larger groups of ten (ten ones become one group-of-ten, ten tens become one group-of-one-hundred, etc.), they are able to explore the full range of base-ten concepts — from counting to 10 to decimal concepts and operations.
KP Ten-Frame Tiles bring physical representation to many math concepts, including the properties of operations, relationships among operations, and applications of the base-ten number system. As students continue to use KP Ten-Frame Tiles to represent numbers and operations, they develop a deep, connected understanding of the base-ten system as they build reasoning skills, problem-solving skills, and computational accuracy and fluency.
Compare KP Ten-Frame Tiles to Base Ten Blocks
Build-to-1000 Set (10 Build-to-100 Sets)
- 1000 orange tiles
- 100 small ten-frames
- 100 yellow grouping tiles
- 10 large ten-frames
- 10 blue grouping tiles
Build-to-500 Set (5 Build-to-100 Sets)
- 500 orange tiles
- 50 small ten-frames
- 50 yellow grouping tiles
- 5 large ten-frames
- 5 blue grouping tiles
- 100 orange tiles
- 10 small ten-frames
- 10 yellow grouping tiles
- 1 large ten-frame
- 1 blue grouping tile
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KP Ten-Frame Tiles consist of five components:
- Small ten-frames
- Large ten-frames
- Orange tiles
- Yellow grouping tiles
- Blue grouping tiles
- Because the pieces are “groupable” and build tens of tens of tens, no trading, as with base-ten blocks, is necessary.
- Students put components together and take them apart in groups of 10 at different magnitudes.
- Students use five and ten as benchmarks for gauging quantity.
- Every quantity 0-10 has a unique look on the ten-frame (0-10 ones, 0-10 tens, 0-10 hundreds, 0-10 tenths, 0-10 hundredths, etc.)
- Formations on the ten-frame become visual memories associated with number name and numeral.
- Students develop a sense of “ten-ness,” an awareness that builds mental-math and estimation skills.
- As students build tiles-of-10 with orange tiles and tiles-of-100 with tiles-of-10, they discover how the base-ten system works.
- The tile-of-10 has two identities: it can be simultaneously viewed as 1 ten and 10 ones.
- The tile-of-100 has three identities: it can be simultaneously viewed as 1 hundred, 10 tens, and 100 ones.
- Since each tile contains its grouping-by-10s history, students begin counting with a single orange tile and still have that original orange tile in their tile-of-1000.
- Students build computational fluency through direct connections between their number work with tiles and written methods.
- Students connect number and operation concepts to each other, developing reasoning skills.
- Students connect number and operation concepts to problem solving situations