Good job no need to resubmit- Your objectives are clear, specific, and worthy. You properly labled (categorized your objectives. However, you forgot about 2 categories of Feel & Believe.
Target: First year elementary education major students
Course: Mathematics Education (MTED) 110: The Real Number System for Elementary and
Middle School Teachers
Description: Intro to problem solving processes and strategies. Development and analysis of structure, properties, and operations of real number system. Concept and process development using appropriate models, manipulative, and activities.
Prerequisite: Entry-Level Math (ELM) Examination (GED knowledge in three content areas:
Numbers and Data, Algebra, and Geometry
Prerequisite for the first three chapters:
Know: Numbers and data; algebra; sets; algebraic symbols; graphs and models (draw, use, interpret); addition, subtraction, multiplication, and division (solve, create, principles, concepts)
Upon the completion of the chapter, the learner will…
1. Sets and Whole-Number Operations and Properties
-P. Do. ...
apply whole numbers and operations involving them to real-life situations such as record keeping, cooking, shopping, and profits calculations.
-P. Decide. Order whole numbers using sets.
-P. Do. Compare whole numbers using sets and one-to-one correspondence (can be inferred from principles)
-S. Know. Identify three different ways to represent numbers.
-P. Create. Draw a Venn diagram that illustrates set A as a proper subset of set B
-S. Know. Cite three examples of an empty set
-S. Know. Describe whole-number comparisons using subsets
-P. Create. Draw a number line that shows ordering of whole numbers.
-P. Do. Find all the subsets of a finite set of whole numbers.
-S. Know. List situations that are described with whole numbers.
-P. Decide. Then, categorize them as discrete or continuous situations.
2. Addition and Subtraction of Whole Numbers
-P. Decide. Differentiate addition and subtraction.
-S. Know. Recall four properties of addition of whole numbers.
-P. Create. Write a story problem that displays the understanding of the operations of addition and subtraction, followed by pictorial or concrete representations.
-P. Create. Draw a Venn diagram to compare and contrast addition and subtraction.
-P. Do. Apply addition and subtraction properties to real-world problems.
-P. Decide. Decide when properties of whole numbers can apply to certain operation but not others.
-S. Know. Define union of two sets, intersection of two sets, and disjoint sets. (pure possession of knowledge)
-P. Create. Formulate subtraction using addition.
-P. Create. Create a word problem with given equations.
-P. Decide. Given the equation, a + b - c + d = e, predict the outcome when a increases or decreases and when c increases or decreases.
3. Multiplication and Division of Whole Numbers
-P. Do. Solve real-world problems using multiplication and/or division
-S. Know. Define multiplication using models and sets.
-S. Know. Recall six properties of multiplication of whole numbers. (pure possession of knowledge)
-P. Do. Solve a division problem using partitioning model and measurement model.
-P. Do. Explain why division by zero is undefined using examples.
-P. Create. Create a Venn diagram to compare and contrast multiplication and division.
-P. Create. Rewrite addition using distributive property of multiplication.
-P. Do. Construct a debate, presenting reasons for and against the approach: the traditional sequence for teaching operations is in the order of addition, subtraction, multiplication, and division. (objective that tries to turn novices into experts)
-P. Create. Write a multiplication equation for given word problems.
-P. Decide. Decide what role multiplication has in base-ten numeration system.
*P for primary, S for secondary
High-valued objectives are in red and unnecessary objectives have a line through in the middle.
I chose some of them as high-value objectives because they enable learners to infer applications, provide basic formulas from which more complex formulas are derived, and guide them to create mental models.