Tactile Graphics Skills by Grade in Math (This is based on the Iowa Core. There may be additional skills based on the teacher and textbook) Kindergarten Counting the number of items in a graphic Noticing groupings of 10 in a graphic The same number of objects represented in different arrangements are still the same Counting objects in a vertical line, horizontal line, array, circle, or scattered Compare quantities in a picture Recognize decompositions of a group of objects (i.e. 1+4, 2+3, 3+2, 4+1 as all being 5 together) Graphics representing addition and subtraction problems Using pictures of ten frames Using pictures of base ten blocks Using the hundreds chart Compare length of two tactile objects Compare size of two tactile objects Naming shapes regardless of orientation or size Relative position Grade 1 (in addition to what is mentioned in earlier grades) Pictures of scales with objects on them to relate equals, more, or less Compare length of three or more tactile objects Compare size of three or more tactile objects Finding length by counting the number of tactile objects that equal the length of another object Telling time to the hour and half-hour Using bar graphs o Number of categories, names of categories, number in a category, and how many more or less in one category than another Tactile pictures of halves, fourths, and quarters Grade 2 (in addition to what is mentioned in earlier grades) Odd or even represented as a picture with pairings Arrays with up to 5 rows and up to 5 columns Using a tactile ruler or tactile image of a ruler Telling time to the 5-minutes Money Line plots Bar graphs Picture graphs Partitioned rectangle into rows and columns of same-size squares and count to find the total number of them Tactile pictures of halves, thirds, fourths, and quarters Grade 3 (in addition to what is mentioned in earlier grades) Finding products by noticing groups of the same number of objects by counting the number of groups and the number of objects in one of the groups Finding products in an array by counting the number of rows and the number of columns only Finding patterns in the addition table and the multiplication table Fractions on number lines Telling time to the minute Drawings that represent liquid volume and mass Measuring to the halves or fourths of an inch Pictures involving area that can be filled in with squares Area stays the same even if an object is tilted Finding area of non-rectangular areas that can be cut into rectangles Perimeter of polygons Attributes of shapes Partitioning areas into fractions of the whole (equal parts) Grade 4 (in addition to what is mentioned in earlier grades) Representing fractions using shading, etc. Equivalent fractions Angles and protractors Lines, line segments, rays Perpendicular and parallel Right angles Symmetry Grade 5 (in addition to what is mentioned in earlier grades) Multiplication and division fraction models Volume of solid figures Points on the coordinate plane (xy-graphs) Grade 6 (in addition to what is mentioned in earlier grades) Tape diagrams Double number line diagrams Positive and negative number represented on pictures such as number lines and thermometers Rational numbers on the coordinate plane (fractions on the xy-graphs) Tables and graphs of equations Area of non-rectangular figures Nets of 3-D figures Dot plots, histograms, and box plots Grade 7 (in addition to what is mentioned in earlier grades) Scale drawings Slicing 3-D figures Area and circumference of circles Supplementary, complementary, vertical, and adjacent angles Volume and surface area of 3-D figures Grade 8 (in addition to what is mentioned in earlier grades) Distance-time graphs and slope Rotations, reflections, and translations of graphs Congruent and similar figures Interior and exterior angles of triangles Scatter plots