Transcript What in the Heck is Standard 4 (not 5) in Grades K-5?

What in the Heck is Standard 4
(not 5) in Grades K-5?
Eddie Keel
Southwest Jackson-Memphis CORE
Regional Math Coordinator
[email protected]
Important Facts for 2012-2013
• All K-2 math teachers should be using the
Common Core Standards this year.
• Several SPIs have been dropped this year from
the 3-8 math curriculum. These dropped SPIs
will not be on this year’s TCAP exams.
• Constructed Response Assessments (CRA) will
be given three times this year to grade 3-8.
• There are 8 regional math coordinators in TN.
Sample Activities
• Many of these activities are adapted from the one of
the following sites:
• http://illustrativemathematics.org/
• http://www.mathplayground.com/patternblocks.html
• http://www.learner.org/courses/teachingmath/gradesk_2/ses
sion_02/section_01_b.html
• http://www.learningtoday.com/player/swf/Geometry_2DSha
pes_L1_V1_T1a_1.swf
• http://www.k-5mathteachingresources.com/kindergartenmath-activities.html
Kindergarten Common Core
• Identify and describe shapes (squares, circles,
triangles, rectangles, hexagons, cubes, cones,
cylinders, and spheres).
1. Describe objects in the environment using names
of shapes, and describe the relative positions of
these objects using terms such as above, below,
beside, in front of, behind, and next to.
2. Correctly name shapes regardless of their
orientations or overall size.
3. Identify shapes as two-dimensional (lying in a
plane, “flat”) or three dimensional (“solid”).
Kindergarten Common Core
• Analyze, compare, create, and compose shapes.
4. Analyze and compare two- and three-dimensional
shapes, in different sizes and orientations, using informal
language to describe their similarities, differences, parts
(e.g., number of sides and vertices/“corners”) and other
attributes (e.g., having sides of equal length).
5. Model shapes in the world by building shapes from
components (e.g., sticks and clay balls) and drawing
shapes.
6. Compose simple shapes to form larger shapes. For
example, “Can you join these two triangles with full sides
touching to make a rectangle?”
Pattern Block Activity #1
• Choose 2 hexagons, 4 trapezoids, 2 triangles, 5
squares, 1 blue rhombus, 3 beige rhombus
• I am thinking of a bird. Can you make it?
• http://www.mathplayground.com/patternbloc
ks.html
• Ask the children to count and record how
many of each block they used to make the
bird, then how many blocks did they use all
together.
Sample Bird
Sample Recording Sheeet
1st Grade Common Core
• Reason with shapes and their attributes.
1. Distinguish between defining attributes (e.g., triangles
are closed and three-sided) versus non-defining
attributes (e.g., color, orientation, overall size); build
and draw shapes to possess defining attributes.
2. Compose two-dimensional shapes (rectangles, squares,
trapezoids, triangles, half-circles, and quarter-circles)
or three-dimensional shapes (cubes, right rectangular
prisms, right circular cones, and right circular cylinders)
to create a composite shape, and compose new shapes
from the composite shape. (Students do not need to
learn formal names such as “right rectangular prism.” )
1st Grade Common Core
• Reason with shapes and their attributes.
3. Partition circles and rectangles into two and
four equal shares, describe the shares using
the words halves, fourths, and quarters, and
use the phrases half of, fourth of, and quarter
of. Describe the whole as two of, or four of the
shares. Understand for these examples that
decomposing into more equal shares creates
smaller shares.
Composing Shapes
Use 2 pattern blocks to make this shape.
http://nlvm.usu.edu/en/nav/vlibrary.html
Use 2 pattern blocks to make this shape. Can
you use more?
Online Activity
• http://www.learningtoday.com/player/swf/Ge
ometry_2DShapes_L1_V1_T1a_1.swf
2nd Grade Common Core
• Reason with shapes and their attributes.
1. Recognize and draw shapes having specified
attributes, such as a given number of angles or a
given number of equal faces. (Sizes are
compared directly or visually, not compared by
measuring.) Identify triangles, quadrilaterals,
pentagons, hexagons, and cubes.
2. Partition a rectangle into rows and columns of
same-size squares and count to find the total
number of them.
2nd Grade Common Core
3. Partition circles and rectangles into two,
three, or four equal shares, describe the
shares using the words halves, thirds, half of, a
third of, etc., and describe the whole as two
halves, three thirds, four fourths. Recognize
that equal shares of identical wholes need not
have the same shape.
Make a shape!
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Use at least two pattern blocks to make a....
Triangle
Quadrilateral
Pentagon
Hexagon
Note: It does not have to be regular!
Challenge: Can you make a solid red triangle?
http://nlvm.usu.edu/en/nav/vlibrary.html
Introduction to Area and
Multiplication
• Count out twenty squares.
– Make a large rectangle using all of the blocks.
– How many rows and columns do you have?
3rd Grade Geometry SPIs for 20122013
• SPI 0306.4.1 Recognize polygons and be able to
identify examples based on geometric definitions.
• SPI 0306.4.4 Calculate the perimeter of shapes made
from polygons.
• SPI 0306.4.5 Choose reasonable units of measure,
estimate common measurements using benchmarks,
and use appropriate tools to make measurements.
• SPI 0306.4.6 Measure length to the nearest centimeter
or half inch.
• SPI 0306.4.7 Solve problems requiring the addition and
subtraction of lengths.
What pattern block am I?
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All of my sides are congruent (equilateral).
I have an even number of sides.
None of my angles are obtuse.
I am a polygon whose opposite sides are
parallel.
• None of my angles are acute.
What pattern block am I?
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None of my sides are perpendicular.
I am not equiangular.
I am equilateral.
My opposite sides are both parallel and
congruent.
• I can be decomposed into two equilateral
triangles.
• I am blue.
4th Grade Geometry SPIs
• SPI 0406.4.1 Classify lines and line segments as parallel,
perpendicular, or intersecting.
• SPI 0406.4.2 Graph and interpret points with whole number
or letter coordinates on grids or in the first quadrant of the
coordinate plane.
• SPI 0406.4.4 Identify acute, obtuse, and right angles in 2dimensional shapes.
• SPI 0406.4.7 Determine appropriate size of unit of
measurement in problem situations involving length,
capacity or weight.
• SPI 0406.4.8 Convert measurements within a single system
that are common in daily life (e.g., hours and minutes,
inches and feet, centimeters and meters, quarts and
gallons, liters and milliliters).
• SPI 0406.4.9 Solve problems involving area and/or
perimeter of rectangular figures.
Angles in the Pattern Blocks
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Hexagon has 6 ______ angles.
Square has 4 _____ angles
Equilateral Triangle has 3 _____ angles
The blue rhombus has 2 _____ angles and 2 ____
angles
• The skinny rhombus has 2 ____ angles and 2
____ angles.
• The trapezoid has 2 ___ angles and 2 ___ angles.
5th Grade Geometry SPIs for 20122013
• SPI 0506.4.1 Solve contextual problems that require
calculating the area of triangles and parallelograms.
• SPI 0506.4.2 Decompose irregular shapes to find
perimeter and area.
• SPI 0506.4.4 Solve problems involving surface area and
volume of rectangular prisms and polyhedral solids.
• SPI 0506.4.5 Find the length of vertical or horizontal
line segments in the first quadrant of the coordinate
system, including problems that require the use of
fractions and decimals.
Decomposing a Pattern Block to find
area
• Assume the area of a green triangle is 1.
What is the area of these pattern block?
– Hexagon
– Blue Parallelogram
– Trapezoid
• Challenge: The area of the square is S and the
area of the triangle is T. What is the area of
the skinny rhombus?