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Transcript
Grade 6 – Math –3rd Nine Weeks
Standard(s): Mathematical Processes & Geometry and Measurement
GLE
0606.4.1 Understand and use basic properties of triangles,
quadrilaterals, and other polygons.
 SPI 0606.4.1 Identify, define or describe geometric
shapes given a visual representation or a written
description of its properties.
 0606.4.3 Verify the basic properties of triangles and
quadrilaterals using a protractor and ruler.
 0606.4.4 Classify triangles by side lengths (scalene,
isosceles, and equilateral) and angle measure (acute,
right, obtuse, isosceles and equiangular).
 0606.1.10 Use various methods (such as dynamic
geometry software) to explore properties of triangles
and quadrilaterals.
 SPI 0606.4.2 Find a missing angle measure in problems
involving interior/exterior angles and/or their sums.
 0606.4.1 Investigate the sum of the angles in a
triangle and a quadrilateral using various methods.
 0606.4.2 Relate the sum of the angles in a triangle to
the sum of the angles in polygons.
 0606.4.6 Use the properties of interior and exterior
angles of polygons to solve problems.
 SPI 0606.4.3 Solve problems using the Triangle
Inequality Theorem.
 0606.4.5 Model and use the Triangle Inequality
Theorem.
Activities/Strategies
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“Which nets form a cube” interactive site: “Net Tools”: Illuminations
http://illuminations.nctm.org/activitydetail.aspx?ID=84
Navigating through Geometry Grades 6-8 “Indirect Measurement”
“In Your Shadow” Indirect Measurement Activity Lesson from
http://illuminations.nctm.org/LessonDetail.aspx?ID=L515
Literature: “Measuring Penny” (Standard and nonstandard
measurement)
Navigating Through Geometry Grades 6-8
Patty Paper “Area Activity” Deriving Area Formulas for Trapezoids,
parallelograms, triangles, and circles.
Online Area of a Triangle Practice
http://www.mathgoodies.com/lessons/vol1/area_triangle.html
Triangle Inequality Activities and Lesson Ideas
http://www.deltastate.edu/docs/math/lp3lclark.pdf
http://mathscience.dadeschools.net/geo/pdf/lessons/Triangle_Inequal
ity.pdf
Literature: “Grandfather Tang’s Story” (polygons, tangrams, area)
Literature: “The Warlords Puzzle” (Tangrams- Marilyn Burns Math
and Literature grades 4-6
Literature: “The Greedy Triangle” (polygons)
SpringBoard: “Play Area” (Geometry)
SpringBoard: “What’s My Name” (Geometry, figures, angles, lines)
SpringBoard: “Triangle Trivia” (classification of triangles)
OCS: Sum of Interior & Exterior Angles of Polygons
http://regentsprep.org/Regents/math/mathtopic.cfm?TopicCode=poly
IC Teachers: Shapes - Polygons
http://icteachers.co.uk/children/sats/polygons.htm
Literature: “Shape Up!” By David Adler
Literature: “What’s your Angle Pythagoras? :A math adventure” by
Julie Ellis.
Have students draw their own line diagrams including the notation.
Resources
Chapter 7 Sec 1 pg 322
Chapter 7 Sec 2 pg 326
Chapter 7 Sec 3 pg 332
Chapter 7 Sec 4 pg 336
Chapter 7 Sec 5 pg 344
Chapter 7 Sec 6 pg 348
Chapter 7 Sec 7 pg 352
SuperSource Cuisenaire
Rods and Resource book
SuperSource Tangram and
Resource book
About Teaching Mathematics
by Marilyn Burns
Teaching Student-Centered
Mathematics Grades 5-8 by
John A. Van de Walle
See PortaPortal resources
Grade 6 – Math –3rd Nine Weeks
0606.4.2 Use the concepts of translation, rotation,
reflection, and symmetry to understand congruence in the
plane.
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0606.4.7 Work with transformations in a plane and
explore their meanings through drawings and
manipulatives.
0606.4.8 Understand scaling, dilation and their
relation to similarity.
0606.4.9 Analyze the differences between
congruence and similarity.
0606.4.10 Describe the effect of a transformation on
a 2-dimensional figure and the resulting symmetry.
0606.4.3 Develop and use formulas to determine the
circumference and area of circles, and the area of
trapezoids, and develop strategies to find the area of
composite shapes.
 SPI 0606.4.4 Calculate with circumferences and areas of
circles.
 0606.4.11 Relate the circumference of a circle with
the perimeter of a polygonal figure.
 0606.4.12 Derive the meaning of Pi using concrete
models and/or appropriate technology.
 0606.4.13 Understand the relationships among the
radius, diameter, circumference and area of a circle,
and that the ratio of the circumference to the
diameter is the same as the ratio of the area to the
square of the radius, and that this ratio is called Pi.
 0606.4.14 Relate the area of a trapezoid to the area
of a parallelogram.
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Origami fold Activities
Alphabet Transformations with Virtual Practice
http://www.misterteacher.com/abc.html
Literature: “A Cloak for the Dreamer” (Properties of Shapes,
tessellations)
SpringBoard: “The Dot Game” (Area and Perimeter)
InterMath: Angle of Rotation
http://intermath.coe.uga.edu/dictnary/descript.asp?termID=35
PBS Kids-Cyberchase: Vortex
http://pbskids.org/cyberchase/games/timelapse/timelapse.html
Regents Prep: Working with Reflections
http://regentsprep.org/Regents/math/coreflec/Prac1.htm
Chapter 7 Sec 9 pg 362
Chapter 7 Sec 10 pg 365
Chapter 7 Sec 11 pg 369
Chapter 12 Sec 3 pg 610
Chapter 12 Sec 4 pg 613
Chapter 12 Sec 5 pg 616
Area of a circle with Wikki Stix Activity
Literature: “Sir Cumference and the Dragon of Pi” SERIES books
Literature: “ Spaghetti and Meatballs for All” (Area & perimeter)
http://www.baylor.edu/content/services/document.php/27178.ppt
Circumference of A Circle
http://www.aaamath.com/geo612-circumference-circle.html#pgtp
NCTM: Circle String - Circumference
http://illuminations.nctm.org/ActivityDetail.aspx?ID=115
Chapter 10 Sec 1 pg 500
Chapter 10 Sec 2 pg 504
Chapter 10 Sec 3 pg 508
Chapter 10 Sec 4 pg 511
Chapter 10 Sec 5 pg 516
SuperSource Geoboards
Grade 6 – Math –3rd Nine Weeks
0606.4.4 Develop and use formulas for surface area and
volume of 3-dimensional figures.
 SPI 0606.4.5 Determine the surface area and volume of
prisms, pyramids and cylinders.
 SPI 0606.4.6 Given the volume of a cone/pyramid, find
the volume of the related cylinder/prism or vice versa.
 0606.3.4 Generate data and graph relationships
concerning measurement of length, area, volume,
weight, time, temperature, money, and information.
 0606.4.15 Find lengths given areas or volumes, and
vice versa.
 0606.4.16 Solve contextual problems involving area
and circumference of circles, surface areas and
volumes of prisms, pyramids, cones, and cylinders.
 0606.4.17 Use manipulatives to discover the volume
of a pyramid is one-third the volume of the related
prism (the heights and base areas are equal).
 0606.4.18 Use manipulatives to discover the volume
of a cone
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Navigating Through Geometry in Grades 6-8 “Constructing ThreeDimensional Figures”
Navigating through Measurement in Grades 6-8 “Ratios –Surface
Areas and Volumes”
Hangman Puzzles on Nets and 3-D Figures
http://www.compasslearningodyssey.com/sample_act/math3_4/MA3
CA05a-package_preloader.swf
Literature: “Counting on Frank” (Proportional Reasoning, volume Marilyn Burns Math & Literature grades 4-6)
Math Central: Irregular Surface Area Exercise
http://mathcentral.uregina.ca/RR/database/RR.09.97/hermsmeier1.ht
ml
Compare Volumes of 3D Shapes
http://www.analyzemath.com/Geometry/compare_volume_3D.html
Chapter 10 Sec 6 pg 524
Chapter 10 Sec 7 pg 530
Chapter 10 Sec 8 pg 534
Chapter 10 Sec 9 pg 538
SuperSource Snap Cubes and
resource book
3-D Solid Figures
Suggested Integrated Activities
Social Studies:
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Geography Link – Map making/line relationships (Math textbook pg 325)
Social Studies Link – African Culture/geometric patterns (Math textbook pg 359)
Social Studies Link – Map skills/estimating area (Math textbook pg 507)
Social Studies Textbook Geography handbook pgs GH11-GH13
Science:
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Earth Science Link – Space exploration/algebraic expressions (Math textbook pg 55)
Physical Science Link – Density & Mass/Volume (Math textbook pg 537)
Science Textbook Appendix pg 483-489
Reading and Language:
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Focus on Problem-Solving “Solve” pg 343
Focus on Problem-Solving “Make a Plan” pg 361
Math Journals Chapter 7 pg 325 (diagrams), pg 329 (angles), pg 335 (angles), pg 339 (lines), pg 347 (triangles), pg 351 (quads), pg 355 (polygons), pg 359 (geometric
patterns), pg 368 (transformations), pg 372 (symmetry)
Write about It: last page of each lesson
Focus on Problem-Solving “Solve” pg 521
Math Journals Chapter 10 pg 503 (polygons), 507 (area), 519 (compass), 527 (vertex), 533 (surface area), 537 (formulas), 541 (cylinders)
Focus on Problem-Solving “Solve” pg 609
Math Journals Chapter 12 pg 601 (functions), pg 607 (functions), pg 619 (coordinate grids), pg 623 (grid)