This document provides information about standard-based assessment in mathematics. It discusses what standard-based assessment is, including that it measures student performance according to predetermined educational standards rather than comparing students. It also discusses the components of standard-based assessment, including learning standards, formative and summative assessment, and examples of assessment tools. Performance tasks are presented as an example of authentic assessment.

1. tandard-Based
Assessment in
Mathematics
Prepared by:
E. M. Geronimo
S

2. Let’s Take a Quiz
Remember that the ‘+’
symbol means multiply,
the ‘–‘ symbol means divide,
the ‘’ symbol means add,
and the ‘x’ symbol means
subtract.

3. 1. 10 + 7 6. 16 – 2
2. 15 x 2 7. 18  6
3. 14 – 7 8. 9 x 5
4. 20  5 9. 12 + 3
5. 8 x 3 10. 27 – 9
60
seconds
Time is
up!!!

4. 1. 10 + 70 = 70 6. 16 – 2 = 8
2. 15 x 2 = 13 7. 18  6 = 24
3. 14 – 7 = 2 8. 9 x 5 = 4
4. 20  5 = 25 9. 12 + 3 = 36
5. 8 x 3 = 5 10. 27 – 9 = 3

6. According to whose
standard are you
beautiful?

7. “Do I love you because
you’re beautiful?
Or are you beautiful
because I love you?”

8. tandard-Based
Assessment in
Mathematics
S

9. What is standard-based
assessment?

11. Framework
• Background
• Curriculum Guide and Grading
System
• Formative & Summative
Assessment
• Authentic Assessment
• Sample Rubric

12. What is standard-based
assessment?
An approach that compares
students’ performances to
the standards, rather than
comparing them with other
students.

13. What is standard-based
assessment?
The measurement of students’
learning performance according
to predetermined educational
content and performance
standards (Sana Rafiq, 2008).

15. The standards define the skills
and knowledge content which
will need to be mastered by
each student in a certain time
frame.

16. Learning Area Standard
Key Stage Standards

17. What is standard-based
assessment?
Assessment is aligned to the
attainment of the students’
defined skills or
competencies.

18. x + 3 = 12
y + 3 = 12
x2 + x + 3 = x2 +12
x2 + 3 = 12

19. Grade Level Standards
The learner demonstrates
understanding of key concepts and
principles of patterns and algebra
(sequences, series, polynomial
equations, …)

20. lassroom Assessment
As per DepEd Order #8
Series of 2015
Prepared by:
E. M. Geronimo
C

21. Content
Number
and
Number
Sense
Content
Standards
The learner
demonstrates
understanding
of… the key
concepts of sets,
the real number
system,
estimation, …
Performance
Standards
The learner is
able to… explore
set concepts and
set operations…
Learning
Competencies
The learner..
describes and
illustrates well-
defined sets,
subsets, universal
set and the null
set…

23. Sample Assessment

24. Sample Assessment

25. Sample Rubric

26. Sample Rubric

27. • Classroom assessment is an ongoing
process of identifying, gathering,
organizing, and interpreting
quantitative and qualitative
information of what learners know
and can do.
What is Classroom Assessment?

30. Two Types of Classroom
Assessment
• Formative
• Summative
When the cook tastes the soup,
that’s formative; when the guests
taste the soup, that’s summative.

31. Learning Standards
• Content Standards
• Performance Standards
• Learning Competencies
• Concept Development

32. How are learners assessed in
the classroom?
• Individual & Collaborative Formative
Assessment
• Formative Assessment in Different Parts
of the Lesson
– Before
– During
– After

33. Examples of Formative Assessment
– BEFORE the Lesson

34. Examples of Formative Assessment
– DURING the Lesson

35. Example

36. Example

37. • Use 2, 3, 4, 5, +, and = to form
an equation
• Each ‘character’ must be used
only once
32 = 4 +5

38. Examples of Formative
Assessment – AFTER the Lesson
1. Checklists
2. Discussion
3. Games
4. PeTas that emanate
from the lesson
objectives
5. Practice exercises
6. Short quizzes
7. Written work

40. Solve for x:
4x – 8 = 0
30
seconds
Time is
up!!!

41. Solve for x:
2x – 3 = 11
30
seconds
Time is
up!!!

42. Solve for x:
4x – 2 = 3x + 5
30
seconds
Time is
up!!!

43. Solve for x:
x2 – 4x = 0
30
seconds
Time is
up!!!

44. Solve for x:
x2 – x = 12
30
seconds
Time is
up!!!

45. Summative Assessment
• Individual & Collaborative Summative
Assessment
• Components of Summative Evaluation
– Written Work (WW)
– Performance Task (PT)
– Quarterly Assessment (QA)

46. Components of Summative
Assessment
Component When Given
Written Work (WW) At the end of the
topic or unit
Performance Task
(PT)
At the end of a
lesson focusing on
a topic/skill
Quarterly
Assessment (QA)
Once, at the end of
a quarter

47. Weight of the Components for
Grades 1 to 10

48. List of Summative
Assessment Tools
As indicated in Appendix A
Of DepEd Order #8

49. Mathematics

50. Math
Written Work Performance Task

51. Traditional
• Selecting a
response
• Task is simulated
and contrived
• Recall/Recognition
• Teacher-
structured/teacher-
based
Authentic
• Performing a task
• Real-life task
• Application and
original
construction
• Student-
structured/student-
based

52. ample Performance
Tasks
for Mathematics
S

62. PeTa #1 : “EAT’s an Ellipse!
• You’re part of a group of food technologists and your
objective is to come up with a food or set of foods that
resembles the shape of an ellipse. A client has assigned
a center for each group (Please refer to the table
below). Based on that center, the group will think of
their OWN equation and eventually come up with the
vertices & foci. These important coordinates should
then be made evident in the food to be presented
(using flaglets, or other materials that don’t need to be
edible). Note that there’s no need to show the
Cartesian plane with all its quadrants.

63. Group# Center
1 (-1, 2)
2 (2, -1)
3 (3, 0)
4 (0, -2)
5 (4, 3)
6 (3, 4)
7 (2, -5)
8 (5, -2)
9 (-3, 1)

70. ore ExamplesM

73. JUST 4 FUN

82. “Don’t judge a book by its cover…
but judge a student by the
standards…”

84. Let me hear from you…
• slideshare.net
• Erlyn M. Geronimo (UST
College of Education)
• erlyngeronimo@gmail.com