Enhancing Math Instruction with Virtual Manipulatives Mathematics Goals

Enhancing Math Instruction with Virtual Manipulatives

Mathematics Goals • Improve math instruction. • Make high level math content accessible to all students. • Provide multiple pathways for students to learn and demonstrate understanding. • Increase the math proficiency of all students.

The selected resources are: • aligned to national standards • sponsored by organizations such as NCTM, NSF, Shodor Education Foundation • organized by strand grade span • supported with high-quality teacher materials • advertisement free • regularly updated • no cost

http: //matti. usu. edu/nlvm/nav/vlibrary. html http: //www. shodor. org/interactivate/ http: //illuminations. nctm. org/

How does the technology enhance instruction and learning? Consider • • Curriculum Standards Diversity of Learners Instructional Strategies Technology Skills

List and count the number of possible combinations of objects from three sets, e. g. , how many different outfits can one make from a set of three shirts, a set of two skirts, and a set of two hats? NCTM Illuminations MCAS Question

MCAS Question Identify three dimensional figures by their physical appearance, distinguishing attributes, and spatial relationships. Mei Ling gave the following description of a threedimensional figure. • The solid has 6 faces. • The solid has 8 vertices. • The solid has 12 edges. Which of the following figures matches Mei Ling’s description? National Library of Virtual Manipulatives

Represent real situations and mathematical relationships with concrete models, tables, graphs and rules in words and with symbols, e. g. , input-output tables. Project Interactivate MCAS Question In the input output table below, what will be the value of y when x=5?

Standard 3. G. 5 MCAS Question Using ordered pairs of whole numbers and/or letters, locate and identify points on a grid. The ordered pair (1, 5) shows where the duck pond is on the grid. Project Interactivate Write the ordered pair that shows where Kyle’s house is.

MCAS Question Find, describe, and interpret appropriate measures of central tendency (mean, median and mode) and spread (range) that represent a set of data. The line plot below represents the number of raisins that Janika’s class counted in each of 20 boxes of cereal. What was the medium number of raisins in a box? A. 27 B. 29 C. 30 Project Interactivate D. 31

Standard 6. P. 5 MCAS Open Response Question Solve linear equations using concrete models, tables, graphs, and paper-pencil The pictures below show two scales that are balanced. methods. a. Using Scale A, how many pyramids balance one cube? Show or explain your work. b. Using your answer in part a and using Scale B, how many pyramids balance 1 sphere? Show or explain your work. National Library of Virtual Manipulatives c. Using your answer in parts a and b, which weighs more? 3 spheres or 5 cubes? Show or explain your work.

Find volumes and surface areas of rectangular prisms. MCAS Question Mattias has a rectangular prism with the dimensions shown below a. What is the area, in square centimeters, of the shaded face of the rectangular prism? Show or explain how you got your answer. b. What is the volume, in cubic centimeters, of the rectangular prism? Show or explain how you got your answer. c. What is the total surface area, in square centimeters, of the rectangular prism? Show or explain how you got your answer. Project Interactivate

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