Mathematics Materials Collections Year End Spring 2016

Transcription

1 Mathematics Materials Collections Year End Spring 2016 DLM testlets sometimes call for the use of specific materials or manipulatives. Materials are identified in the Testlet Information Page (TIP) for each testlet. Sometimes materials are required and cannot be substituted, but substitutes are allowed in most cases. Each TIP states whether materials are needed for a testlet. If materials are to be used in a testlet, the TIP will state the specific materials mentioned in the testlet and describe their attributes so that test administrators can find appropriate substitutions. For more information about substituting objects, see the TEST ADMINISTRATION MANUAL section titled Teacher- Administered Tests. Since the DLM system uses dynamic routing to assign a linkage level for each testlet, the TIP is provided when each testlet is assigned. That means the materials needed in order to assess each student are unknown before the test window opens. To give test administrators more opportunity to prepare for the math assessment before the testing window opens, DLM has compiled a list of materials commonly needed in math testlets. The tables in this document summarize lists of materials per grade level for general testlets and, where appropriate, for students who are blind or have visual impairments. When materials are described in parentheses, these are examples of objects that can be used in some of the testlets. Again, materials may be substituted unless the TIP specifically states No substitutions allowed. Hints for using this list: Find things that already exist in the classroom or are easily found somewhere in the building. Pick materials that are familiar to the student. Look at the whole list for each grade and find objects that can meet multiple purposes. What types of objects are mentioned more than once? Remember that in most cases it will be okay to substitute materials as long as they are like the ones on the list. Examples of possible substitutions are found in the table below. Example Materials Description 2 sets of identical objects packaged together (packs of crayons, pencils, markers) 2 objects that are the same size, and one object that is smaller than the other two Possible Substitution use two identical packs of flash cards use two flash cards that are the same size and a playing card DLM Common Mathematics Materials Spring 2016 Page 1 of 9

2 3 2 containers (plastic container, jar, etc.) 2 identical objects separated into parts (pens, markers, etc.) 2 packages of identical objects (crayons, flash cards, gum, etc.) 2 sets of 7 identical objects (buttons, crayons, etc.) 3 objects to measure length 3 sets of 2 identical objects (buttons, crayons, etc.) 3 similar objects that vary by one attribute (buttons, crayons, etc.) 50 counters (plastic chips, checkers, etc.) Ruler Yardstick Grade for Students Who Are Blind or Who Have 3 2 cones (wooden blocks, cardboard, etc.) 2 containers (plastic container, jar, etc.) 2 fraction sets with fractional parts up to tenths (fraction pizzas, fraction circles, etc.)" 2 objects to measure 2 rhombuses (pattern blocks, construction paper, etc.) 2 sets of tactile numbers 0-9 (magnetic, cardboard, etc.) 2 trapezoids (pattern blocks, construction paper, etc.) 3 objects that vary in length 3 stars: 1 whole, 1 divided into 6 parts, 1 divided into four parts (pattern blocks, construction paper, etc.) 11 squares: 2 large, 2 medium, 3 small, 1 of each square divided into 2 equal parts, 4 equal parts, 2 unequal parts, 3 unequal parts (pattern blocks, construction paper, etc.) 13 triangles: 9 equilateral: 3 large, 3 medium, 3 small, 1 scalene triangle divided into parts, 2 right triangles (pattern blocks, construction paper, etc.) 14 rectangles: 3 large, 2 medium, 3 small, 1 of each rectangle divided into 2 equal parts, 3 equal parts, 4 equal parts, 2 of each circle divided into 2 unequal parts, 3 unequal parts, and 4 unequal parts. (pattern blocks, construction paper, etc.) 16 circles: 3 large, 3 medium, 3 small, 1 of each circle divided into 2 equal parts, 4 equal parts, 2 unequal parts, and 3 unequal parts (pattern blocks, construction paper, etc.) 100's grid Material for bundling (string, rubber band, etc.) Materials to create tactile graphs (bar, line, & picture) and charts Scale (2 pan balance, digital, etc.) Tactile clocks: 1 analog, 3 digital Tactile symbols: 6 symbols (3 identical, 3 different) 6 letters (3 identical, 3 different) DLM Common Mathematics Materials Spring 2016 Page 2 of 9

3 4 1 pair of identical objects (buttons, blocks, etc.) 1/2 Gallon Pitcher 2 containers (plastic container, jar, etc.) 2 sets of 3 similar objects that vary by one attribute (buttons, blocks, etc.) 2 sets of 7 objects (pattern blocks, toys, etc.) objects to use as weights (cubes, pennies, etc.) 4 C measuring cup 4 objects that can be measured Food coloring Fraction set with fractional parts up to tenths (fraction pizzas, fraction circles, etc.) Scale (2 pan balance, digital, etc.) Water Grade for Students Who Are Blind or Who Have 4 4 Objects to weigh 5 Rectangles: 2 whole, 1 of each rectangle divided into 2 equal parts, 3 equal parts, 4 equal parts, 6 equal parts, 4 unequal parts (paper, cardboard, etc.) 6 containers: 2 large, 2 medium, 2 small (plastic container, jar, etc.) 6 Triangles: 1 right, 4 equilateral, 1 divided into 2 unequal parts (paper, cardboard, etc.) 8 counters (plastic chips, checkers, etc.) 8 Squares: 4 whole, 1 of each divided into 2 equal parts, 4 equal parts, 2 unequal parts, 4 unequal parts (paper, cardboard, etc.) 9 Circles: 4 whole, 1 of each circle divided into 2 equal parts, 3 equal parts, 4 equal parts, 2 unequal parts, 3 unequal parts (paper, cardboard, etc.) 9 unit square tiles Enough unit cubes to fill each container Materials to create tactile symbols: arch, line, point, ray, line segment, line with a square on it, line with a triangle on it, intersecting lines, parallel lines; 11 angles:5 acute (3 identical, 2 different), 3 right, 3 obtuse (paper, straws, etc.) Money (real or play) (1-$10 bill, 1 each Quarter, Dime, Nickel, Penny.) Scale (2 pan balance, digital, etc.) Set of weights (ounces & pounds) DLM Common Mathematics Materials Spring 2016 Page 3 of 9

4 5 2 containers (plastic container, jar, etc.) 2 sets of 2 identical objects (pattern blocks, toys, etc.) 3 rectangular containers of different sizes Enough unit cubes to fill largest container 3 sets of 5 objects (buttons, crayons, etc.) 4 similar objects that vary by one attribute (books, papers, etc.) 10 counters (checkers, plastic chips, etc.) Material to bundle (string, rubber band, etc.) Ruler String cut into different lengths Yardstick Grade for Students Who Are Blind or Who Have 5 3 sets of objects to measure, 1 small, 1 medium, 1 large 4 Tactile Clocks - 2 analog, 2 digital 5 pencils 6 containers: 3 rectangular containers (3x4), (2x3), (2x4), 3 other containers 15 Triangles: 12 whole equilateral triangles - 3 small, 6 medium, 3 large; 1 of each triangle divided into 2 unequal parts, 4 unequal parts, 3 equal parts (paper, cardboard, etc.) 19 Rectangles: 8 whole, 2 small, 6 medium, 2 large; 1 of each rectangle divided into 10 equal parts, 8 equal parts, 6 equal parts, 4 equal parts, 3 equal parts, 2 equal parts, 2 unequal parts (paper, cardboard, etc.) 21 Squares: 15 whole - 5 small, 5 medium, 5 large; 1 of each square divided into 2 equal parts, 3 equal parts, 4 equal parts, 2 unequal parts, 3 unequal parts, 4 unequal parts (paper, cardboard, etc.) 22 Circles: 12 whole, 2 small, 5 medium, 5 large; 2 of each circle divided into 2 unequal parts, 3 unequal parts, 4 unequal parts; 1 of each circle divided into 2 equal parts, 3 equal parts, 4 equal parts, 8 equal parts, 10 equal parts (paper, cardboard, etc.) 25 counters (plastic chips, checkers, etc.) 2 Dimensional Objects: 2 of each - star, ellipse, heart, trapezoid, hexagon, sphere (pattern blocks, construction paper, etc.) 3 Dimensional Objects: 2 of each (1 large, 1 small) - cylinder, cone, cube (wooden blocks, cardboard, etc.) Base 10 pieces Material to bundle (string, rubber band, etc.) Materials to create tactile graphs (bar, line, & picture) and charts Money (real or play) - 1 Quarter, 1 dime, 1 nickel, 20 pennies DLM Common Mathematics Materials Spring 2016 Page 4 of 9

5 6 3 different size rectangular containers Enough unit cubes to fill largest rectangular container 7 familiar objects (pattern blocks, toys, etc.) 2 sets of 5 similar objects that vary by one attribute (buttons, crayons, etc.) 2 sets of 2 identical objects (buttons, crayons, etc.) Grade for Students Who Are Blind or Who Have 6 3 Rectangles: 1 of each (2x4), (3x4), (5x4) (paper, cardboard, etc.) 5 Containers: 1 divided into 8 parts, 1 divided into 10 parts, 1 small, 1 medium, 1 large (plastic container, jar, etc.) 10 Circles: 2 whole, 1 of each circle divided into 2 equal parts, 3 equal parts, 4 equal parts, 6 equal parts, 10 equal parts, 3 unequal parts, 4 unequal parts, 6 unequal parts (paper, cardboard, etc.) 50 counters (plastic chips, checkers, etc.) Enough unit cubes to fill the largest container Materials to create tactile graphs (bar, line, & picture) and charts Set of 17 identical objects, Set of 5 identical objects (erasers, pencils, markers, etc.) DLM Common Mathematics Materials Spring 2016 Page 5 of 9

6 7 2 sets of 2 identical objects (pattern blocks, toys, etc.) Set of 7 identical objects, set of 3 identical objects (pattern blocks, toys, etc.) 2 sets of 3 similar objects that vary by one attribute (buttons, crayons, etc.) 15 counters (plastic chips, checkers, etc.) Grade for Students Who Are Blind or Who Have 7 2 sets of tactile numbers 0-9 (magnetic, cardboard, etc.) 3 containers (plastic container, jar, etc.) 3 Dimensional shapes: 3 of each (1 small, 1 medium, 1 large)- cylinder, pyramid, cube, sphere (wooden blocks, cardboard, etc.) 3 objects to measure weight and length 4 pairs of identical objects (pattern blocks, toys, etc.) 4 Triangles: 2 medium equilateral triangles, 1 large right triangle, 1 small right triangle 6 Circles: 2 large, 2 medium, 2 small (pattern blocks, construction paper, etc.) 6 Rectangles: 1 large; 1 of each (3x2) and (4x2); 1 of each rectangle divided into 2 equal parts, 2 unequal parts, 4 unequal parts (pattern blocks, construction paper, etc.) 12 Squares: 9 whole - 3 small, 3 medium, 3 large; 1 of each (3x3) and (2x2) (pattern blocks, construction paper, etc.) 30 counters (plastic chips, checkers, etc.) Ruler Scale (2 pan balance, digital, etc.) Tactile coordinate grid - 8x8 Tactile symbols: 3 of each - line, ray, line segment, arrow, point; 2 of each angle (acute, right, obtuse), 2 hearts, pentagon (construction paper, straws, etc.) DLM Common Mathematics Materials Spring 2016 Page 6 of 9

7 8 2 pairs of identical objects (buttons, crayons, etc.) 2 pattern blocks 3 sets of 3 objects (buttons, crayons, etc.) 4 similar objects that vary by one attribute (buttons, crayons, etc.) 7 familiar objects (pattern blocks, toys, etc.) Grade for Students Who Are Blind or Who Have 8 1 Cube (wooden block, cardboard, etc.) 3 containers: 1 small, 1 medium, 1 large 5 Rectangles: 1 of each rectangle (3x5), (5x10), (12x9), (18x9), (6x5) (paper, cardboard, etc.) 9 Squares: 3 large, 3 medium, 3 small (pattern blocks, construction paper, etc.) 13 Circles: 2 large, 2 medium, 2 small; 1 of each circle divided into 3 unequal parts, 3 equal parts, 4 unequal parts, 4 equal parts (pattern blocks, construction paper, etc.) 18 Triangles: 2 of each small, medium and large right triangles, 2 of each small, medium and large equilateral triangles, 2 of each small, medium and large scalene triangles (pattern blocks, construction paper, etc.) 50 counters (plastic chips, checkers, etc.) Enough unit cubes to fill the largest container Materials to create tactile graphs (bar, line, & picture) and charts Objects to measure length, height, and volume Tactile symbols: 2 of each - line, ray, line segment, pentagon, hexagon, ellipse, star, oval; 2 of each angle (acute, right, obtuse) (construction paper, straws, etc.) DLM Common Mathematics Materials Spring 2016 Page 7 of 9

8 9 2 pairs of identical objects (pattern blocks, buttons, etc.) 3 sets of 7 objects (pattern blocks, toys, etc.) 3 similar objects that vary by one attribute (buttons, crayons, etc.) 6 straws 25 paperclips Grade for Students Who Are Blind or Who Have 9 2 Dimensional Shapes: 1 octagon, 1 hexagon (pattern blocks, construction paper, etc.) 3 Dimensional Shapes: 1 rectangular prism, 1 pyramid, 1 cone, 1 cylinder (wooden blocks, cardboard, etc.) 6 Circles: 2 small, 2 medium, 2 large (pattern blocks, construction paper, etc.) 6 Squares: 2 small, 2 medium, 2 large (pattern blocks, construction paper, etc.) 9 Rectangles: 3 small, 3 medium, 3 large (pattern blocks, construction paper, etc.) Base Ten Pieces 's, 17 1's Materials to create tactile graphs (bar, line, & picture), grids and charts Money (real or Play) - 30 pennies Tactile symbols: 2 of each - parallel line, intersecting line, perpendicular line, ray, line segment, arrow, different size angles (construction paper, straws, etc.) Grade 10 2 sets of 7 objects (pattern blocks, buttons, etc.) 4 sets of 3 similar objects that vary by one attribute (buttons, crayons, etc.) Grade for Students Who Are Blind or Who Have 10 2 Dimensional Shapes: 2 pentagons (pattern blocks, construction paper, etc.) 2 sets of tactile letters (magnetic, cardboard, etc.) 2 sets of tactile numbers 0-9 (magnetic, cardboard, etc.) 3 Dimensional Shapes: 1 cone, 1 cube, 1 cylinder (wooden blocks, cardboard, etc.) 4 Circles: 2 small, 2 large (pattern blocks, construction paper, etc.) 4 Triangles: 2 right, 2 equilateral (pattern blocks, construction paper, etc.) 6 Rectangles: 2 small, 2 medium, 2 large (pattern blocks, construction paper, etc.) 6 Squares: 2 small, 2 medium, 2 large (pattern blocks, construction paper, etc.) Materials to create tactile graphs (bar, line, pie, & picture), coordinate planes, & charts DLM Common Mathematics Materials Spring 2016 Page 8 of 9

9 11 2 pairs of identical objects (pattern blocks, buttons, etc.) 2 sets of 7 objects (pattern blocks, buttons, etc.) 4 set of 3 objects (pattern blocks, buttons, etc.) 4 similar objects that vary by one attribute (pattern blocks, crayons, etc.) Grade for Students Who Are Blind or Who Have 11 3 Dimensional Shapes: 1 cone, 1 cube, 1 cylinder, 1 rectangular prism (wooden blocks, cardboard, etc.) 6 Squares: 2 small, 2 medium, 2 large (pattern blocks, construction paper, etc.) 9 Rectangles: 3 small, 3 medium, 3 large (pattern blocks, construction paper, etc.) 9 Triangles: 3 scalene, 3 right, 3 equilateral (pattern blocks, construction paper, etc.) Materials to create tactile graphs (bar, line, pie, & picture), coordinate planes, & charts DLM Common Mathematics Materials Spring 2016 Page 9 of 9