Conditional, Biconditional, and Validity of Arguments_accessible
Converting between percent, decimals, and fractions_accessible
Creating a MyOpenMath Instructor Account
Describing Sets_accessible
Divisibility_accessible
Estimating_accessible
Expanded Form and Place Value_accessible
Exploring decimals_accessible
Exploring Fractions_accessible
Exploring Radical corrected_accessbile
Exponents and Scientific Notation_accessible
GCD and LCM_accessible
Larger Roman Numerals Homework_accessible
MATH 1410 Capstone project_accessible
Modeling Addition Assignment (Group Assignment)_accessible
Modeling Addition of Whole Numbers_accessible
Modeling Division of Whole Numbers Assignment_accessible
Modeling Multiplication Assignment (Group Assignment)_accessible
Modeling Multiplication of Whole Numbers Assignment_accessible
Modeling Numbers Basics_accessible
Modeling Subtraction Assignment (Group Assignment)_accessible
Modeling Subtraction of Whole Numbers_accessible
Operations in Other Base Systems_accessible
Patterns and Critical Thinking_accessible
Prime Numbers, Composite Numbers, and Prime Factorization_accessible
Problem Solving Strategies_accessible
Properties of Real Numbers_accessible
Roman Numerals_accessible
Set Operations_accessible
Set Theory Basics_accessible
Statements and Simple Negations_accessible
Topic 1-Place Value, Rounding, and Operations on Whole Numbers_accessible
Topic 2 - Integers and Absolute Value_accessible
Topic 3 - Fractions and Mixed Numbers_accessible
Topic 4 - Decimals_accessible
Topic 5 - Order of Operations, Exponents, and Roots_accessible
Types of Numbers and their Relationships_accessible
Understanding Other Base Systems and Converting Between Them_accessible
Math 1410 Number Concepts for Teachers
Overview
This course is an introduction to problem solving; logic, sets, and operations on sets; and properties and operations on whole numbers, integers, rational numbers, irrational numbers, and real numbers. Modelling techniques necessary for future elementary educators will also be covered in this course.
Getting Started
MyOpenMath Help Video Playlist
A YouTube playlist has been created to help instructors navigate MyOpenMath. A multitude of videos have been created to help walk new users through everything they need to use MyOpenMath in their courses. Access the playlist at:
https://youtube.com/playlist?list=PL4DaWQ8GB98Q0VLyE9QCmrb697U8UUc4T
Can’t find what you need? Email chambersjh@roanestate.edu to request additional video help.
Hello and welcome to our algebra concepts course developed for teachers. In this course, students will have focus on eight different units of study. The first unit begins with a "boot camp" which allows students to review much needed math skills. The next three units will provide a focus on logic with problem solving and critical thinking, logic and reasoning, and set theory. The following three units will focus on number theory including number systems, base systems, and number theory. The course closes with a study of real numbers and modeling.
Copying the MyOpenMath
Math 1410: Number Concepts for Teachers Template
To copy the MyOpenMath Math 1410: Number Concepts for Teachers course that is to be used in conjunction with the materials in the OER Commons, begin by visiting https://www.myopenmath.com/ and then following these three easy steps:
Step 1: Log in to MyOpenMath by typing in the username and password you selected when creating your MyOpenMath account.
Step 2: Once you are logged in, click the “Add a New Course” button under the section titled “Courses you’re teaching”.
Step 3: To copy the promoted course, Math 1410: Number Concepts for Teachers, select “Copy a template or promoted course”. A box will open with all the available templates and promoted courses. Scroll down until you see Math 1410: Number Concepts for Teachers. To minimize the number of courses you have to scroll through, you can filter by level by selecting “Level” and checking Arithmetic, Prealgebra, Elementary Algebra, Non-STEM Algebra/Math Literacy, and Math for Liberal Arts/Quantitative Reasoning.
Unit 0: Math Boot Camp
Keys
Topic_1-Place_Value_Rounding_and_Operations_on_Whole_Numbers_completed_accessible_1.docx
Topic_2_-_Integers_and_Absolute_Value_complete_accessible_1.docx
Topic_3_-_Fractions_and_Mixed_Numbers_completed_accessible_1.docx
Topic_4_-_Decimals_complete_accessible_1.docx
Topic_5_-_Order_of_Operations_Exponents_and_Roots_complete_accessible_1.docx
Topic List
- Topic 1: Place Value, Rounding, and Operations on Whole Numbers
- Topic 2: Integers and Absolute Value
- Topic 3: Fractions and Mixed Numbers
- Topic 4: Decimals
- Topic 5: Order of Operations, Exponents, and Roots
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 1: Problem Solving and Critical Thinking
Keys
Key_Patterns_and_Critical_Thinking_accessible.docx
Topic List
- Patterns and Critical Thinking
- Problem Solving Strategies
- Estimating Number
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 2: Logic and Reasoning
Keys
Key_Statements_and_Simple_Negations_accessible.docx
Key_Compound_Statements_and_Negations_accessible.docx
Key_Conditional_Biconditional_and_Validity_of_Arguments_accessible.docx
Topic List
- Statements and Simple Negations
- Compound Statements and Negations
- Conditional, Biconditional, and Validity of Reasoning
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 3: Set Theory
Topic List
- Set Theory Basics
- Describing Sets
- Set Operations
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 4: Expanded Form, Place Value, and Roman Numerals
Topic List
- Expanded Form and Place Value
- Roman Numerals
Additional Homework
- Larger Roman Numberals
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 5: Other Base Systems
Topic List
- Understanding Other Base Systems and Converting Between Them
- Operations in Other Base System
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 6: Number Theory
Keys
Key_Divisibility_accessible.docx
Key_Prime_Numbers_Composite_Numbers_and_Prime_Factorization_accessible.docx
Topic List
- Divisibility
- GCD and LCM
- Prime Numbers, Composite Numbers, and Prime Factorization
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 7: Real Numbers and Their Properties
Keys
Key_Exploring_decimals_accessible.docx
Key_Exploring_Fractions_accessible.docx
Key_Converting_between_percent_decimals_and_fractions_accessible.
Key_Exponents_and_Scientific_Notation_accessible.docx
Key_Exploring_Radical_corrected_accessbile.docx
Key_Types_of_Numbers_and_their_Relationships_accessible.docx
Topic List
- Exploring Decimals
- Exploring Factions and Mixed Numbers
- Converting between Percent, Decimals, and Fractions
- Exponents and Scientific Notation
- Exploring Radicals
- Types of Numbers and their Relationships
- Properties of Real Numbers
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Homework is available in the accompanying MyOpenMath course
Unit 8: Modeling
Suggest Videos for Modeling Assignments:
Modeling whole numbers: https://www.youtube.com/watch?v=gBQV4LttpBI
Modeling decimals numbers: https://www.youtube.com/watch?v=ibR_iBxnITE and https://www.youtube.com/watch?v=yDa0ytNgbJI
Count - on (10 frame) model: https://www.youtube.com/watch?v=8f8bDaxe-Ls
Partial Sums Addition: https://youtu.be/dP2ISPW1aoE
or https://www.youtube.com/watch?v=yzdUIOJAEpI
Opposite-Change Algorithm:
Base 10-blocks: https://www.youtube.com/watch?v=7FIwPGoaMzg
Chip Model: https://youtu.be/KQwvjE7eypE
Area Model: https://youtu.be/wv8GxBcmd40
and https://youtu.be/x33Xylme2_Y
Number line: https://youtu.be/0Y7XD2-0sYQ
Addition Decimals:
100’s Grids https://youtu.be/U7TNcp-T1CQ
Base 10 Blocks https://youtu.be/Ov9ky123rBU or https://www.youtube.com/watch?v=jjvyB4zj_lQ&t=99s
Missing Addends Method:https://youtu.be/UPJruYaFnG8
Comparison Model: https://youtu.be/AtwNV7M19PE
Base 10 Blocks for Whole Numbers: https://www.youtube.com/watch?v=vQC9DXmoKt4
Chip Model: https://www.youtube.com/watch?v=_77vO0uzBfA
Number line Model for Integers: https://www.youtube.com/watch?v=Dfytkh_lYME
Number line Model for Fractions: https://youtu.be/c8uVU6QzKGM
Area model for Mixed Numbers: https://youtu.be/SuSat5kkamA
100's grid: https://www.youtube.com/watch?v=9yI45amCNNE
Base 10 Blocks for Decimals: https://youtu.be/VfkgHq4jmyA
Multiplying Whole Numbers: https://youtu.be/6fvIRlgEoUo
Area Model https://youtu.be/zujhbT5deoA
Partial Products Algorithm https://youtu.be/4QXfymhSQzA
Distributive Property: https://www.youtube.com/watch?v=Q3wfb0CPhIY
Multiplying Integers: https://youtu.be/I2I0Nd_X_RA
Chip Model https://www.youtube.com/watch?v=yVwbaEPedys&t=10s
Number Line Model https://www.youtube.com/watch?v=fW3FWuLfpFc
Multiplying Fractions and Mixed Numbers
Area Model https://youtu.be/B366S2aYgzU
Number Line Model https://youtu.be/sENA3Wc6c18
Area Model https://youtu.be/K_Uv7tvYu9g
Multiplying Decimals
Grids https://youtu.be/IWTC4hYAz7M
Dividing Whole Numbers: https://youtu.be/aIJ-Eg9lW5Y
Repeated-Subtraction Model https://youtu.be/M0YHpVigG8M
Set Model https://youtu.be/dcisBh8zZ8E
Chip Model https://youtu.be/OoIMagblT5Q
Dividing Integers: https://youtu.be/QGWkw0Z5Ulg
Chip Model https://youtu.be/sk0hmctyUJ8
Dividing Decimals:
100’s Grids https://youtu.be/pyQf8uaSirw
https://www.youtube.com/watch?v=RDkvKI0AD5s
Base 10 Blocks https://youtu.be/LmWzhGvDt58
Homework List
- Modeling Whole Number and Decimals Homework
- Modeling Addition Homework
- Modeling Subtraction Homework
- Modeling Multiplication Homework
- Modeling Division Homework
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .
Group Activities and Capstone Project
Projects and Group Activities
- Capstone Project
- Group Modeling
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All equations have been rendered in EquatIO: https://www.texthelp.com/products/equatio/ .