apply knowledge of whole number facts to assist in recognizing patterns when operating with fractions.create arrays representing a product of two whole numbers.Understanding and recalling math facts, using a variety of strategies. recognize that the commutative and associative properties apply to the addition and multiplication of fractions.relate multiplication to a fraction "of" a number.relate multiplication to repeated addition.Understanding how numbers behave in operations and drawing on that understanding to master math facts and perform calculations. Recognizing and applying understanding of number properties: relate fractions, decimals, percents and ratios.demonstrate and explain the concept of equivalent fractions.compose and decompose shapes and relate to numerical measurements and operations (e.g., one-sixth of a hexagon plus one-third of a hexagon is equal to one-half of a hexagon).order fractions by considering the area of a block representation.identify different shapes as the whole and relate other shapes to that whole (e.g., what fraction of the white pentagon is the double hexagon?).represent fractions and decimals using area and set models.Understanding and using numbers (e.g., being able to read, represent, count, order, estimate, compare, compose, decompose, and recompose numbers). fractions and decimals (including representing, comparing, ordering, equivalence, and operations)Ĭonnecting Fundamental Math Concepts with Pattern Blocks+ Fundamental Concepts and Skills ( Link #1).transformations (translations, reflections, rotations and dilatations).properties of polygons and angles (including symmetry).measurement of lengths and areas (including perimeter, and the use of non-standard units).patterns (including repeating patterns, linear growing patterns and patterns involving 1 or 2 attributes).geometric relationships (including composing and decomposing shapes).Pattern Blocks can be used to develop understanding of: Take a screenshot to use as part of a portfolio, presentation, web page, etc. The file will contain all solution steps from start to finish. Ī saved file can be shared with peers or submitted to a teacher. Work created in a mathies tool can be saved and opened. The Pattern Blocks+ workspace shows an isometric grid of small equilateral triangles, which is unique when so many area activities use a square grid (see the discussion of length and area units in the Measurement and Geometry section below).Īccess a wide variety of Annotation tools to communicate thinking. Students can make designs and develop numerous mathematical concepts. The colour of each type of block can be changed. Once in the workspace they can be moved, copied, reflected, or rotated, individually or in groups. Eighteen different shapes can be dragged into the workspace from the scrollable selection panel at the left. The Pattern Blocks+ Tool is a virtual manipulative similar to the physical ones commonly available in classrooms. Length and Area Units used with Pattern Blocks.Connecting Fundamental Math Concepts with Pattern Blocks+.Try to fill in as many as you can and then compare and discuss the different solutions. Some of the templates have several copies of a single puzzle on the page. With practice, they may recognize that there are many ways that different shapes can be formed. These puzzles are designed to push children's thinking about how to put together and take apart shapes. Then, if needed, you can make suggestions about different blocks to try. Give children plenty of time to try on their own. You can also notice whether children are able to shift, rotate, and flip the blocks to make them fit. An 'upside down' triangle is still a triangle, and a square tilted on its corner is still a square! As children fill in their shape outlines, notice whether they know right away which block to get or if they use trial and error with a few different blocks to see which ones fit. Help children learn to identify shapes even as the orientation of the shapes change. Spatial reasoning is our ability to think about objects and shapes and to move them around into new and different positions. Observing children as they play with pattern block puzzles is a great way to see their spatial reasoning skills develop.
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