Examples of translating standards into learning goals into objectives

WHAT STUDENTS NEED TO KNOW
Instructional Guidance / Examples
“Standards”
(a.k.a. essential knowledge and skills, competency goals, learning standards, competencies) / Most general à à à à Most specific / A. Students learn and effectively apply a variety of reading strategies for comprehending, interpreting and evaluating a wide range of texts including fiction, nonfiction, classic and contemporary works.
B. Students will investigate structure and function in living systems.
C. Students demonstrate an understanding of the notion of differentiability.
“Learning Goals”
(a.k.a., benchmarks, essential elements, essential skills, performance standards) / A. Students will be able to use reading strategies such as making inferences and predictions, summarizing, paraphrasing, differentiating fact from opinion, drawing conclusions, and determining the author’s purpose and perspective to comprehend written selections.
B. Students will identify, compare, and contrast levels of organization including cells, tissues, organs, organ systems, and organisms.
C. Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
“Objectives” / A. Students will be able to distinguish fact from opinion.
B. Students will be able to compare and contrast the structure and function of the human circulatory and respiratory systems.
C. Students will be able to calculate the derivative of a second order function.

This example below shows how a broad standard (in bold) can be broken into a bundled list of aligned learning goals.

Georgia Performance Standards: Mathematics 1 (Algebra)[1]

MM1A1. Students will explore and interpret the characteristics of functions, using graphs, tables, and simple algebraic techniques.

a.  Represent functions using function notation.

b.  Graph the basic functions f (x) = xn, where n = 1 to 3, f (x) = x, f (x) = |x|, and f (x) = 1/x.

c.  Graph transformations of basic functions including vertical shifts, stretches, and shrinks, as well as reflections across the x- and y-axes.

d.  Investigate and explain the characteristics of a function: domain, range, zeros, intercepts, intervals of increase and decrease, maximum and minimum values, and end behavior.

e.  Relate to a given context the characteristics of a function, and use graphs and tables to investigate its behavior.

f.  Recognize sequences as functions with domains that are whole numbers.

g.  Explore rates of change, comparing constant rates of change (i.e., slope) versus variable rates of change. Compare rates of change of linear, quadratic, square root, and other function families.

h.  Determine graphically and algebraically whether a function has symmetry and whether it is even, odd, or neither.

i.  Understand that any equation in x can be interpreted as the equation f(x) = g(x), and interpret the solutions of the equation as the x-value(s) of the intersection point(s) of the graphs of y = f(x) and y = g(x).

This example shows how different learning goals can be broken down into objectives

Learning Goal / Objectives
The student will measure distances on a variety of maps / Translates into / ·  The student will be able to use the map’s index and grid to locate two geographical points.
· The student will be able to accurately measure the distance between two points in inches and centimeters.
·  The student will be able to convert the distance on a map to the actual distance between two places using the map scale.
·  The student will be able to calculate distances between two points on 1) a map of Africa and 2) a map of one African nation.
The student will analyze energy of position, including gravitational potential energy and elastic potential energy. / Translates into / ·  The student will be able to explain the difference between gravitational potential energy and elastic potential energy.
·  The student will be able to solve word problems involving gravitational and elastic potential energy.
·  The student will be able to analyze the gravitational potential energy of real objects at different heights.
·  The student will be able to analyze the elastic potential energy of real springs with different spring constants.
The student will develop a topic sentence and supporting sentences. / Translates into / ·  The student will be able to identify the topic sentence and supporting sentences in a paragraph.
·  The student will be able to describe the purpose of a topic sentence and supporting sentence.
·  The student will be able to evaluate a topic sentence to ensure that it represents its paragraph’s main idea.
·  The student will be able to evaluate supporting sentences to ensure that they reinforce the paragraph’s main idea.
·  The student will be able to write a paragraph with a topic sentence and supporting sentences.

[1] Standards HS Math 1 July 2006. http://www.georgiastandards.org/DMGetDocument.aspx/Standards%20HS%20Math%201%20July%202006.pdf?p=6CC6799F8C1371F6A53EDDBCD81AFF25221C13C3F28F0C3131F77C63ACAF4698&Type=D, accessed 12/20/07.