Power Strategies

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Power Strategies
Informal assessments continually
check for understanding
Im ready for the power.. strategy, that is!
Lets make take our own!
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• Identifying similarities and differences
  might be the core of all learning.
• It enhances students understanding of and
  ability to use knowledge.
• -Marzano, 2001

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3 highly effective forms to identify
similarities and differences

• Comparing
• Classifying
• Creating analogies

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Graphic Organizers for Comparing
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Two things are DIFFERENT from the others in some
way. Circle them and explain why they are
different.
Cube
Rectangle
Triangle
Square
Pyramid
Hexagon
Trapezoid
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Rhombus
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Card
Sorts
in
Mathematics
Roger Ray Teaching and Learning Consultant East
Riding of Yorkshire School Improvement Service.
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Matching Card Activity
Teaching Reading in Mathematics by Mary Lee Barton
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Write the number 1 in each box that represents a
one-dimensional (1-D) concept Write the number 2
in each box that represents a two-dimensional
(2-D) concept Write the number 3 in each box that
represents a three-dimensional (3-D) concept
cm3 Cd?

Distance around the bases on a baseball field in2 Number of cubic yards of concrete needed to pave a driveway
Perimeter is to Polygon as Circumference is to
_______
Side of a square (m) Area of a square (m2)
1 1
2 4
3 9
4 16
5 25
Volume of a cylinder
Analogy
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Place a ? in each box that represents a positive
trend. Place a ? in each box that represents a
negative trend. Place a ? in each box that
represent no trend.
As one set of values increases, the other set tends to increase. Persons age and shoe size
As one set of values increases, the other set tends to decrease.
Outdoor temperature and layers of clothing The points show no relationship.
Gas (gal) Miles
5 150
4 112
7 217
6 192
3 87
Mosquito population and the sale of insect
repellent.
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3 highly effective forms to identify
similarities and differences

• Comparing
• Classifying
• Creating analogies

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Graphic Organizers for Classification
Place Categories in column headings
-most useful when all categories are equal in
generality
-more useful when all categories are not equal in
generality
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Semantic Feature Analysis
Equation has a positive slope has a negative slope has a slope of zero has an undefined slope has a non-zero x-intercept has a non-zero y-intercept passes through the origin





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Self-Assess Prior Knowledge
Yes or No
I can define I can give an example I can find on the graph or I can graph it I can find on a table using my graphing calculator
Coordinate pairs
x intercept
y intercept
Linear equation
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Which one is NOT related to the other four?
Identify it and explain your reasoning.
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Frayer Model example

• Parallel lines lie in the same plane
• Parallel lines have the same slope
• Parallel lines NEVER meet.
• The symbol for parallel lines is

Parallel lines are lines that lie in the same
plane but do not intersect.
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Sorting things into categories

• Use big picture ideas
• Use to assess prior knowledge
• Use after learning to assess new knowledge

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3 highly effective forms to identify
similarities and differences

• Comparing
• Classifying
• Creating Analogies

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Creating Analogies
Examples, Carpenter is to hammer as painter is
to brush. Hot is to cold as night is to
day. Oxygen is to humans as carbon dioxide is to
plants. Core is to earth as nucleus is to atom.

• Analogies help us to see how seemingly
  dissimilar things are similar.
• They increase our understanding of new
  information.
• -Marzano,2001

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Teacher vs. Student Directed Analogy

• Student-directed analogy task
• Sphere is to circle
• As
• _____ is to ______.

• Teacher-directed analogy task
• Eighty is to eight
• As
• Dime is to ______.

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Vocabulary Notation
There is no more single important factor that
effects student achievement than vocabulary
notation.
Leading the Way to Accelerating Math Achievement
by Bill Hanlon
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Symbol Meaning Sentence with symbols / Complete Sentence Picture
? Perpendicular AB ? CD Line AB is perpendicular to line CD
Floor ? Wall The classroom floor is perpendicular to the wall.
?

?
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Foldables example
SLOPE SLOPE SLOPE SLOPE

positive slope
negative slope
zero slope
undefined slope
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What are you talking about?!?! ?
Draw an isosceles right triangle. Include all markings to indicate both that it is isosceles and right.
Draw . k passes through B and is a perpendicular bisector of
Draw and label a pair of parallel lines (a b) with the transversal (c ) cutting through them. Label the angles created with the numbers 1-8. List all 4 pairs of corresponding angles.

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Define Solution of a system of linear equations.
Word Bank helper words
Line or Linear
satisfies
Ordered pair

• Write a system of linear equations whose solution
  is (6, 2).
• Fill in the table below 3. Sketch
  a graph (include the
  solution) label the solution

x
y1
y2
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Use Mental Models
Square Numbers X X X X X X X X X
AVID
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Obj 6 The student will demonstrate an
understanding of geometric relationships and
spatial reasoning.
G04A The student is expected to select an
appropriate representation (concrete, pictorial,
graphical, verbal, or symbolic) in order to solve
problems.
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• Consider each of the following regular polygons
• Triangle Pentagon
• Quadrilateral Hexagon
• Which one could disprove Alanas theory?
• Draw pictures to support your solution choice.

Alana claims that the exterior angle for any
regular polygon is either an acute angle or an
obtuse angle.
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Probes Informal Assessments

• Used to informally assess before and throughout
  instruction.
• Analyze misconceptions
• Make better instructional decisions

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How can we use them?

• Differentiated Instruction
• Assessing Point of Entry
• Analyzing trends in student thinking
• Giving student interviews
• Promoting student-to-student dialogue
• Allowing for individual think time
• Developing Vocabulary
• Improving students process skills
• Assessing effectiveness of instructional
  activities
• Moving beyond the individual classroom

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Types of Probes

• Selected Response
• Multiple Selections Response
• Opposing Views/Answers (Concept Cartoons)
• Examples and Non-Examples List
• Justified List
• Strategy Elicitation

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Before creating a Probe consider the following
questions

• What knowledge will students need to complete
  this probe?
• What mistakes might students make that will lead
  to incorrect answers?
• How will this probe assist in diagnosing student
  learning?
• What percentage of students could respond
  correctly to the initial problem if the
  misconceptions addressed in this probe were
  corrected?

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Other Formative Assessment Strategies

• Sticky Bars
• Ring of Truth
• Chain Note and Pass the Question
• Justified list
• P-E-O
• Paint the Picture
• Concept Cartoons
• Exit Tickets
• Friendly Talk
• Traffic Light Dots
• I Used to Thinkbut Now I Know