Welcome to the Make Math MeaningfulAudio-Web Conference

Feb. 25, 2004

Sheryl Beglinger

Comprehensive Center Region VI

smbeglinger@wisc.edu

Measurement

Emphasis of these Content Standards by Grade Levels

(Principles and Standards for School Mathematics, National Council of Teachers of Mathematics, pg. 30)

Instructional programs for prek through grade 12 should enable all students to:

• Understand measurable attributes of objects and the units, systems, and processes of measurement

• Apply appropriate techniques, tools, and formulas to determine measurements

• Understand measurable attributes of objects and the units, systems, and processes of measurement

– Need to be able to select units appropriate to the attribute being measured

• feet, ounces, square yards, etc.

– Know the common units of the English and metric systems

• Have mental images of benchmarks for judging and comparing size

– paper clips weighs about a gram, width of their forefinger is about a centimeter

• Understand measurable attributes of objects and the units, systems, and processes of measurement

– Express measurements in equivalent forms• 150 centimeters = 1.5 meters or 3 feet = 1 yard• Cadbury Maths• Animal Weigh In

– Understand, select, and use units of approximate size and type to measure angles, perimeter, area, surface area, and volume

• Shape Explorer• Geoboards in the Classroom• Don’t Fence Me In• Mini-metric Olympics• Home Improvement WebQuest

• Understand measurable attributes of objects and the units, systems, and processes of measurement

– Realize that measurements in the real world are approximate

• Footprints: Take a Step into Estimation

– Explore how measurements are affected when one attribute to be measured is held constant and the other is changed

• Spaceship Builder• Perimeter Explorer

• apply appropriate techniques, tools, and formulas to determine measurements

– Develop strategies for estimating the perimeters, areas, and volume of irregular shapes

Students can use their knowledge of the area of a rectangle to generate a formula for the area of a parallelogram (a) and for the area of a triangle (b).

• apply appropriate techniques, tools, and formulas to determine measurements

– Develop strategies for estimating the perimeters, areas, and volume of irregular shapes

An isosceles trapezoid can be decomposed and rearranged or duplicated in order to find a formula for its area.

• apply appropriate techniques, tools, and formulas to determine measurements

– Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of an angle

• Measure It!• Shape, Space, and Measure: Measures• Clock Wise• Elapsed Time• Triangle Explorer

• apply appropriate techniques, tools, and formulas to determine measurements

– Develop, understand, and use formulas to find the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more complex shapes.

• Area Formula Lab• Module Math

– Solve problems involving scale factors, using ratio and proportion

• California Here We Come!

• apply appropriate techniques, tools, and formulas to determine measurements

– Develop strategies to determine the surface areas and volume of prisms, pyramids, and cylinders

Students can determine the surface area of a cylinder by determining the area of its net.

Measurement Resources

• NASA Explores National Standards – Measurement part 1

• NASA Explores National Standards – Measurement part 2

• Measurement

• PBS TeacherSource: Math