Putting Manipulatives to Work Developing Geometric Measurement in

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Putting Manipulatives to Work: Developing Geometric Measurement in Grades 3 -4: Area, Perimeter, Angle

Putting Manipulatives to Work: Series Overview • June 2: Developing Number Sense K-5 with

Send out a search party! • Are there manipulatives hiding in THAT closet? •

Geometric Measurement • Provides context for operations – Area as a measurement connects to

Learning about Area with Color Tiles • Unit square tiles (often 1” square) used

Traditional Area Problem $25 Area = Length x Width • Diana’s living room is

More Interesting Problems 15 feet ? feet • Brandon needs to find the area

Going Further Tommy & Tessa want to fence in a play area for their

Learning About Ang. Legs • All legs the same color are the same length.

Estimating & Measuring Angle Size 60° How does the angle compare to a right

Angles and Shapes • Classifying Triangles – By sides – By angles 110° 30°

Angles and Shapes • Classifying quadrilaterals » All figures have two pairs of parallel

Join us for the next webinar Tuesday, August 4 th – 12 PM Eastern

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Putting Manipulatives to Work Developing Geometric Measurement in Grades 3 -4 with Color Tiles & Ang. Legs Tuesday, July 7, 2015 Presented by Sara Delano Moore, Ph. D. Director of Mathematics and Science at ETA hand 2 mind Join our community on ed. Web. net Building Understanding in Mathematics www. edweb. net/math

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Putting Manipulatives to Work: Developing Geometric Measurement in Grades 3 -4: Area, Perimeter, Angle Measure with Color Tiles and Ang. Legs Sara Delano Moore, Ph. D. Director of Mathematics & Science ETA hand 2 mind 7 July 2015

Putting Manipulatives to Work: Series Overview • June 2: Developing Number Sense K-5 with Cuisenaire Rods, Rekenreks, and Place Value Chips • July 7: Developing Geometric Measurement in Grades 3 -4 – Area, Perimeter, Angle Measure with Color Tiles and Ang. Legs • August 4: Developing Expressions & Equations Grades 6 -8 with Algebra Tiles and Algeblocks

Send out a search party! • Are there manipulatives hiding in THAT closet? • Have you received new tools as part of new programs and you aren’t sure how to use them?

Geometric Measurement • Provides context for operations – Area as a measurement connects to an area model for multiplication – Angles in a circle relate to fractions of the circle • Supports problem solving – Area and perimeter problems from the real world

Learning about Area with Color Tiles • Unit square tiles (often 1” square) used to tile a shape to show the area of the shape • In rectangular regions, area can be calculated by repeated addition or multiplication. • Area is additive; complex shapes can be 2 + 2 + 2 = partitioned into simpler ones. 4 + 4 = 2 x 4 = • The unit of measure changes when calculating area, from length units to square units.

Traditional Area Problem $25 Area = Length x Width • Diana’s living room is 5 meters wide and 4 meters long. What is the area of the room? • The carpet she selected costs $25 per square meter. How much will the carpet for the room cost?

More Interesting Problems 15 feet ? feet • Brandon needs to find the area of his rectangular bedroom. The length of the room is 15 feet. The perimeter of the room is 50 feet. 15 feet ? feet

Going Further Tommy & Tessa want to fence in a play area for their dog, Moose is a big dog, and they want to give him as much room as they can. They have 64 feet of fence. They can use up to 36 feet of the side of the barn as one side of the play area. The area must be rectangular and each side must be a whole number of feet. Determine the best size for Moose’s play area. BARN

Learning About Ang. Legs • All legs the same color are the same length. • Legs snap together and rotate freely. • Place the protractor on top of a figure. Snap together and use the grooves to measure. video

Measuring Angles 60°

Estimating & Measuring Angle Size 60° How does the angle compare to a right angle? 120° How does the angle compare to a straight angle?

Angles and Shapes • Classifying Triangles – By sides – By angles 110° 30° 60° 40°

Angles and Shapes • Classifying quadrilaterals » All figures have two pairs of parallel sides – By angles

Angle Relationships in Polygons A B

Join us for the next webinar Tuesday, August 4 th – 12 PM Eastern Time Putting Manipulatives to Work Developing Expressions & Equations in Grades 6 -8 with Algebra Tiles & Algeblocks Presented by Sara Delano Moore, Ph. D. , Director of Mathematics and Science at ETA hand 2 mind For an invitation to the next webinar Join Building Understanding in Mathematics www. edweb. net/math

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