Extended Assessments

1
Extended Assessments

• Elementary Mathematics
• Oregon Department of Education and Behavioral
  Research and Teaching
• January 2007

2
Elementary MathematicsTask Names

• Task 1 Numbers
• Task 2 Computation
• Task 3 Measurement of Time/Temperature
• Task 4 Geometry/Shapes
• Task 5 Measurement
• Task 6 Interpret Data and Graphs
• Task 7 Applications
• Task 8 Fractions and Conversions
• Task 9 Probabilities and Predictions
• Task 10 Algebra

3
Administration Big Picture

• Task Content
• Pre-requisite Skills
• Content Prompts
• Materials Preparation
• Scoring
• Anticipations and Possibilities
• Role play

4
Elementary Mathematics Task Content

• Numbers Recognition, ordering, digits placement,
  count-bys
• Computation Simple addition, simple subtraction,
  multiplication, division
• Time/Temperature Telling time, calculating time,
  temperature, season
• Geometry/Shapes Shape recognition, angles,
  perimeter calculation
• Measurement Measuring in units, measurement
  calculations, use of weights and measures in day
  to day life
• Interpret data and graphs Interpreting a simple
  graph
• Application Money recognition, counting money,
  adding money, cost and making change
• Fractions Conversions Recognizing fractions,
  decimals, and percentages
• Probabilities Predictions Coin tosses and
  probability, odds, likelihood
• Algebra Missing values, missing symbols, word
  problem

5
Elementary Mathematics Pre-requisite Skills

• Measure of a students level of independence in
  response to
• Requests for attention
• Requests to interact
• Specific queries regarding numbers, shapes,
  clocks, or coins
• Specific queries regarding symbols, shapes,
  time, graph, tool, bills, coins
• Numbers put the cards into two groups
• Computation put two number cards together
• Time/Temperature show me a picture of a
  thermometer and snow
• Geometry/Shapes show me two objects that are
  similar
• Measurement tell me show me something you can
  measure with a ruler
• Interpret data and graphs show me the tallest
  bar on the graph
• Application put two coins together
• Fractions Conversions show me a fraction
• Probabilities Predictions show me which coin
  shows heads
• Algebra show me a number sentence

6
Elementary Mathematics Materials Preparation
Task Cutting Other materials (Have scratch paper available for all tasks)
1 Item 2 Student materials only (with cover page)
2 Optional Student materials only (with cover page)
3 Optional Student materials only (with cover page)
4 Optional Student materials only (with cover page)
5 Optional Ruler and student materials (with cover page)
6 No Student materials only (with cover page)
7 Optional Coins, dollar bills and student materials (with cover page)
8 Optional Student materials only (with cover page)
9 Optional Student materials. Optional coins, 3-point spinner, jelly beans or manipulative (with cover page)
10 Optional Student materials only (with cover page)
7
Elementary Mathematics Scoring

• Correct and specific answer full credit
• Incorrect answer or refusal inaccurate attempt
  no credit
• General correct answer partial credit
• On the right track to a correct conclusion
  partial credit
• Correct working incorrect final calculation
  partial credit

8
Scoring (Continued)

• Additional querying/prompting may be used if the
  students response suggests that he or she
  misunderstood/misheard the item
• Preamble consistency

9
Elementary Mathematics Anticipations and
Possibilities

• Difficulties
• Some answers have only a right or wrong answer
• Some of the graphics are focal points only
• Tasks are not in order of difficulty
• Opportunities
• Some of the questions lend themselves to the use
  of classroom materials that are familiar to the
  students
• This format provides instructional ideas for
  presenting concepts that students have not yet
  encountered
• Next steps
• Streamlined graphics
• More details regarding partial scoring

10
Extended Assessments

• Middle/High Mathematics
• Oregon Department of Education and Behavioral
  Research and Teaching
• January 2007

11
Middle/High MathematicsTask Names

• Task 1 Computation Calculation (C C)
  Numbers, Computation, Estimation
• Task 2 C C Numbers, Problem Solving,
  Rational Numbers, and Equivalence
• Task 3 CC Fractions and Numbers
• Task 4 Statistical Measures and Probabilities
• Task 5 Probability (Representation) and Algebra
  (Patterns)
• Task 6 Algebra Variables, Equations, and
  Relationships
• Task 7 Algebra Graphing and Change
• Task 8 Measurement Determining Measurement
• Task 9 Geometry Properties, Transformation,
  and Symmetry
• Task 10 Geometry Coordinate Graphing Modeling

12
Administration Big Picture

• Task Content
• Pre-requisite Skills
• Content Prompts
• Materials Preparation
• Scoring
• Anticipations and Possibilities
• Role play

13
Middle/High Mathematics Task Content

• Task 1 Recognition of equality, equality in
  fractions, reduction of fractions
• Task 2 prime numbers, creating fractions,
  recognizing relative size in fractions/decimals
• Task 3 Recognizing fractions in shapes,
  fractions in day to day life
• Task 4 calculating averages, medians,
  combinations and patterns, likelihood with coin
  tosses
• Task 5 Representing data, likelihood, patterns
  of numbers in sequence
• Task 6 Missing variables, number patterns
• Task 7 identifying growth on a graph, points on
  a graph, value of y given x
• Task 8 measuring, perimeter of a triangle, speed
  (miles per hour), selecting correct units of
  measurement
• Task 9 Recognizing shapes (equilateral
  triangles, parallel lines, radius of a circle,
  lines of symmetry), applying the Pythagoras
  theorum.
• Task 10 Properties of shapes (rectangles),
  measurement of a shape

14
Middle/High Mathematics Pre-requisite Skills

• Measure of a students level of independence in
  response to
• Requests for attention
• Requests to interact
• Specific queries regarding numbers, graphs,
  shapes
• Specific queries regarding percents, decimals,
  math problems, general knowledge, various
  objects, graphs and axes, specific shapes, and
  properties of shapes

• Task 1 show me a fraction
• Task 2 show me a fraction
• Task 3 show me a sequence of numbers
• Task 4 show me which coin shows heads
• Task 5 show me a pattern of numbers
• Task 6 show me a table on the paper
• Task 7 show me a point on the graph
• Task 8 show me a length
• Task 9 show me an angle
• Task 10 show me the long side of a rectangle

15
Middle/High Mathematics Materials Preparation
Task Cutting Other materials (Have scratch paper available for all tasks)
1 Optional Student materials only (with cover page)
2 Optional (but recommended) Student materials only (with cover page
3 Optional Student materials only (with cover page)
4 Optional Coin to flip (optional) Student materials only (with cover page)
5 Item 1 Photo-copy table for item 1 and provide student materials (with cover page) for remainder
6 Optional Student materials only (with cover page)
7 Optional Student materials only (with cover page)
8 Optional Student materials (with cover page), ruler (optional)
9 Optional Student materials only
10 Optional Ruler, Student materials, cover page
16
Middle/High Mathematics Scoring

• Correct and specific answer full credit
• Incorrect answer or refusal inaccurate attempt
  no credit
• General correct answer partial credit
• On the right track to a correct conclusion
  partial credit
• Correct working incorrect final calculation
  partial credit

17
Middle/High Mathematics Anticipations and
Possibilities

• Difficulties
• Some answers have only a right or wrong answer
• Some of the graphics are focal points only
• Tasks are not in order of difficulty
• Opportunities
• Some of the questions lend themselves to the use
  of classroom materials that are familiar to the
  students
• This format provides instructional ideas for
  presenting concepts that students have not yet
  encountered
• If students are more comfortable with familiar
  manipulatives they may be substituted as
  appropriate
• Next steps
• Streamlined graphics
• More details regarding partial scoring

18
Standard and Scaffold Administration

• Materials
• Exercises