Mathematics
Manipulatives
John Marallo
Marlboro Central School District
September 13, 2013
Where did the new materials
come from?
• Mathematics Materials List from EngageNY
• Story of Units (K-5)
• Story of Ratios (6-8)
• Story of Functions (9-12)
• Ordered through our Curriculum & Instruction
OfficeArrived in July
• Ready for use for 2013-2014
Fraction Tiles
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6th Grade Manipulative
Equivalent Fractions
Comparing Fractions
Operations with Fractions
Video #1
Common Denominators with Fraction Tiles
Video #2
Divide Mixed Numbers by Fractions Using Models
Two-Color Counters
• 6th and 7th Grade Manipulative
• Comparing Integers
• Adding & Subtracting Integers
Video
Zero Pairs, Manipulatives, and a Real-World Scenario
Base Ten Blocks
• 6th Grade Manipulative
• Operations with Decimals
Video #1
Adding Decimals with Base Ten Blocks
Video #2
Dividing Decimals with Base Ten Blocks
Interlocking (Unifix) Cubes
• 6th and 7th Grade Manipulative
• Number Sense
• Fractions
• LOOK FOR ELEM VIDEO
Pattern Blocks
• 6th Grade Manipulative
• Foundational Concepts Associated with Fractions
• Operations with Fractions
Video #1
What Fraction of This Shape is Red?
Video #2
Adding Fractions Using Pattern Blocks
GeoModel Folding Shapes
• 6th, 7th, and 8th Grade Manipulative
• Three-Dimensional Figures
• Vocabulary
• Surface Area
• Volume
Video
GeoModel Folding Nets
Double Number Lines
• Useful when comparing two different quantities
• Useful for ratio problems
Video
Solve Ratio Problems Using Double Number Lines
Tape Diagrams
• Can be used in the primary grades, all the way through
high school mathematics courses.
• Useful for helping students dissect word problems
• Can be used as a way to provide a concrete
representation for algebraic equations and
simultaneous equations.
• Fractions can also be incorporated into tape diagrams.
Tape Diagrams
Basic Example
Jose has 4 paper clips. Harry has twice as many paper clips as
Jose. How many paper clips do they have altogether?
Tape Diagrams
With Fractions #1
David spent 2/5 of his money on a game. The game costs $40.
How much did he have at first?
Tape Diagrams
With Fractions #2
Alex bought some chairs. One-third of them were red and onefourth of them were blue. The remaining chairs were yellow.
What fraction of the chairs were yellow?
Tape Diagrams
Simultaneous Equations
Two pears and a pineapple cost $2. Two pears and three
pineapples cost $4.50. Find the cost of a pineapple.