FRCC MAT050 Proportions (Sect 3.3)
•Download as PPTX, PDF•
0 likes•179 views
This document discusses proportions and how they relate to ratios. Proportions are defined as two ratios that are equal to each other. The key property highlighted is that proportions can be represented as equivalent equations through cross multiplication. The document concludes by assigning homework on proportions from the textbook and an online platform.
Report
Share
Report
Share
Recommended
Lesson 4 7 mixed numbers improper fractions
The document provides definitions and examples for proper fractions, improper fractions, and mixed numbers. It gives step-by-step instructions for changing a mixed number to an improper fraction and vice versa. Students are asked to practice these conversions by completing examples in the provided spaces.
Unit 5 lesson 4 mixed numbers & improper fractions
The document provides definitions and examples for proper fractions, improper fractions, and mixed numbers. It gives step-by-step instructions for changing a mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator. It also explains how to change an improper fraction to a mixed number by dividing the numerator by the denominator, with the quotient as the whole number and remainder as the new numerator. Students are provided spaces to practice these conversion methods.
Multimedia student tutorial stacey leeth
This document provides an overview of exponents and examples for solving them. Exponents tell how many times the base number is used as a factor. The exponent also represents the power of the base. Some examples are provided to show calculating 31, 33, -25, 62, 43, -53, 14, and 35. Practice problems are included for the reader to solve.
Prime Factorization
This document discusses using prime factorization to identify perfect squares. It explains that prime factorization is writing a composite number as a product of its prime factors. It then gives examples of finding the prime factors of 12 and 48. The document states that a number is a perfect square if each of its distinct prime factors occurs an even number of times in the prime factorization. It uses prime factorization to show that 64 is a perfect square since the factor 2 appears 6 times.
Calc 5.2a
The document discusses integration rules and techniques for rational functions using the log rule. It provides examples of using the log rule with substitutions, recognizing quotients in disguised forms, using long division to reveal quotients, and changing variables. It emphasizes mastering the "form-fitting" nature of integration to apply the appropriate rules compared to differentiation which is more straightforward. Students are encouraged to memorize the integration and derivative rules.
College algebra -REAL Numbers
This document provides an overview of real numbers and their properties. It defines natural numbers, integers, rational numbers, and irrational numbers. It describes operations on real numbers like addition, subtraction, multiplication, and division. Key properties discussed include the commutative, associative, and distributive properties. It also covers fractions, negatives, and finding a common denominator to add fractions.
Power of Power Exponent Rule
The document discusses exponential population growth and the "power of power" rule. It provides an example of how a population starting at 1 person that doubles each generation through having 4 children per person would grow exponentially from 1 to 4 to 16 to 64 etc. It then explains the rules for expanding exponential expressions using exponents, such as multiplying exponents when the base is the same under multiplication or addition, and subtracting exponents when dividing terms with the same base. Examples are provided to demonstrate simplifying expressions using these exponent rules.
Recommended
Lesson 4 7 mixed numbers improper fractions
The document provides definitions and examples for proper fractions, improper fractions, and mixed numbers. It gives step-by-step instructions for changing a mixed number to an improper fraction and vice versa. Students are asked to practice these conversions by completing examples in the provided spaces.
Unit 5 lesson 4 mixed numbers & improper fractions
The document provides definitions and examples for proper fractions, improper fractions, and mixed numbers. It gives step-by-step instructions for changing a mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator. It also explains how to change an improper fraction to a mixed number by dividing the numerator by the denominator, with the quotient as the whole number and remainder as the new numerator. Students are provided spaces to practice these conversion methods.
Multimedia student tutorial stacey leeth
This document provides an overview of exponents and examples for solving them. Exponents tell how many times the base number is used as a factor. The exponent also represents the power of the base. Some examples are provided to show calculating 31, 33, -25, 62, 43, -53, 14, and 35. Practice problems are included for the reader to solve.
Prime Factorization
This document discusses using prime factorization to identify perfect squares. It explains that prime factorization is writing a composite number as a product of its prime factors. It then gives examples of finding the prime factors of 12 and 48. The document states that a number is a perfect square if each of its distinct prime factors occurs an even number of times in the prime factorization. It uses prime factorization to show that 64 is a perfect square since the factor 2 appears 6 times.
Calc 5.2a
The document discusses integration rules and techniques for rational functions using the log rule. It provides examples of using the log rule with substitutions, recognizing quotients in disguised forms, using long division to reveal quotients, and changing variables. It emphasizes mastering the "form-fitting" nature of integration to apply the appropriate rules compared to differentiation which is more straightforward. Students are encouraged to memorize the integration and derivative rules.
College algebra -REAL Numbers
This document provides an overview of real numbers and their properties. It defines natural numbers, integers, rational numbers, and irrational numbers. It describes operations on real numbers like addition, subtraction, multiplication, and division. Key properties discussed include the commutative, associative, and distributive properties. It also covers fractions, negatives, and finding a common denominator to add fractions.
Power of Power Exponent Rule
The document discusses exponential population growth and the "power of power" rule. It provides an example of how a population starting at 1 person that doubles each generation through having 4 children per person would grow exponentially from 1 to 4 to 16 to 64 etc. It then explains the rules for expanding exponential expressions using exponents, such as multiplying exponents when the base is the same under multiplication or addition, and subtracting exponents when dividing terms with the same base. Examples are provided to demonstrate simplifying expressions using these exponent rules.
Factors And Prime Factorization
Factors are numbers that can be multiplied together to produce another number. The prime factorization of a number breaks it down into a product of prime numbers. For example, the prime factorization of 48 is 2 x 2 x 2 x 3, as 48 can be broken down into its prime factors of 2 and 3. There are two methods for finding the prime factorization of a number: using a factor tree or a ladder.
Fridayweek4
An equation contains an equal sign and is used to represent a relationship between quantities, where setting a variable equal to an expression allows you to solve for the variable. An expression does not contain an equal sign. To solve an equation means to find the solution, or value of the variable that makes the statement true. Solving an equation involves isolating the variable on one side of the equal sign. A variable stands for an unknown number, while a formula is an equation with two or more variables.
Laws of exponents and Power
This document discusses exponents and powers, which provide a simple way to represent large numbers. It outlines 7 rules for working with exponents: 1) Product of powers, 2) Quotient of powers, 3) Power of a power, 4) Power of a product, 5) Power of a quotient, 6) Zero power, and 7) Negative exponent. These rules explain how to simplify expressions involving exponents through distributing, adding, subtracting, multiplying, or dividing the exponents.
Exponents Rules
This document provides rules and examples for operations involving exponents. It explains that when bases are the same, exponents can be added or subtracted. It also discusses the power of a power rule where the outer exponent is multiplied by the inner one. There are warnings that these rules only apply when bases are the same or there is a single base inside brackets. Negative exponents are explained as reciprocals with the base moving above or below the fraction line.
Math 6.2
This document provides examples of solving inequalities using multiplication and division. It contains 5 examples of solving inequalities with these operations as well as references to problem numbers 2 through 32 on an even-numbered page and problems 36, 39 and 40 for additional practice.
Intro to Logs
The document introduces logarithms, defining them as the exponent that a fixed number (the base) must be raised to to equal the value. It provides examples of converting between logarithmic and exponential forms, and covers the key properties of logarithms including product, quotient, power, expanding, condensing, and the change of base formula.
Math chapter 3 dividing exponential expressions
This document discusses how to simplify exponential expressions when dividing numbers with the same base but different exponents. It provides examples of simplifying 37/33 and 53/58. The key rule explained is that when dividing numbers with the same base but different exponents, you copy the base and subtract the denominator's exponent from the numerator's exponent.
Math chapter 3 multiplying exponential expressions
When multiplying exponential expressions with the same base but different exponents, such as 34 * 35, the base is kept the same and the exponents are added. So, 34 * 35 = 39, because it is equivalent to 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3, which is 3 to the power of 9. More generally, when multiplying expressions of the form xm * xn, the result is x(m+n).
The laws of exponents
This document discusses the laws of exponents and operations involving exponents. It explains that an exponent shows the factor of a number and provides examples. It also outlines the following laws of exponents:
(1) When multiplying terms with the same base, add the exponents.
(2) When dividing terms with the same base, subtract the exponents.
(3) When raising a power to a power, multiply the exponents.
(4) When raising a product to a power, raise each factor to that power.
(5) Any number or variable raised to the power of 0 is equal to 1.
Donna g. bautista
The document discusses the eight laws of exponents:
1) Exponential form indicates how many times the base multiplies itself using exponents.
2) When multiplying powers with the same base, add the exponents.
3) When dividing powers with the same base, subtract the exponents.
4) When raising a power to an exponent, multiply the exponents.
4.1 prime factorization
The document discusses divisibility patterns and prime factorization. It provides examples of writing the prime factorization of numbers by decomposing them into prime factors using factor trees. It also discusses factoring monomials by writing them as a product of numbers and variables with exponents. Examples are provided of determining if a number is prime or composite, writing the prime factorization of various numbers, and factoring monomials like 12x2y and 18t2 into prime factors with exponents. Homework problems involve writing factors and prime factorizations.
1 ESO - UNIT 02 - POWERS AND SQUARE ROOTS
1. The document discusses different types of powers and operations involving powers. It defines exponent notation, names of powers, square and cube powers, and properties of powers including multiplication, division, powers of powers, and special powers.
2. Square roots are introduced as the positive number that produces the radicand when squared. Perfect squares are defined as numbers that are the square of another natural number. Estimating square roots using trial and error or the square root algorithm is explained.
3. The square root algorithm is demonstrated by calculating the square root of 105,674 in steps: separating the radicand into pairs, finding the square root of the first pair, multiplying to estimate remaining pairs, and bringing values into
Cross product
The document discusses the cross product of two vectors. Some key points:
- The cross product requires both vectors to be three-dimensional and results in another vector, unlike the dot product which results in a number.
- The formula for the cross product is derived using determinants. Two methods - using cofactors or copying columns - provide the formula.
- The direction of the cross product follows the right-hand rule and is orthogonal to both original vectors, unless they are parallel.
- The cross product can be used to find a vector orthogonal to a plane defined by three points, and to determine if three vectors lie in the same plane.
Law of exponent Teacher slide
The document provides an introduction to exponents including definitions, properties, and examples. It explains how to evaluate exponential expressions using the laws of exponents such as adding and multiplying expressions with the same base. The document also demonstrates how to solve exponential equations by rewriting them so the bases are the same using properties like quotient and power laws.
Law of exponent Lecture Slide
This document provides an introduction to exponents and exponential functions for 9th grade Algebra II students. It defines exponents as the number of times a base is used in multiplication. Exponents make writing repeated multiplication easier. The rules of exponents state that when multiplying terms with the same base, you add the exponents. A negative exponent means to take the reciprocal of the base raised to the positive exponent. The document provides examples of solving exponential equations by rewriting the bases to have a common base or using properties of exponents. It concludes by previewing the next lesson on standard form and graphing of exponential functions.
Heuristics 1
The document describes how to solve a ratio problem involving three people - Alan, Barry, and Cong Min - and their respective quantities of marbles. It gives the ratios of Alan's marbles to Barry's marbles as 3:2 and Barry's marbles to Cong Min's marbles as 6:5. To find the ratio of Alan's marbles to Cong Min's marbles, it uses two methods - treating Barry's quantity as unchanged to find the equivalent ratio of 9:5, and modeling the quantities with bars divided into units. Both methods result in the ratio of Alan's marbles to Cong Min's marbles being 9:5.
Prime Factorization
Prime factorization can be found using a factor tree method. The steps are to start with a composite number, write it as a multiplication problem of factors, and continue breaking numbers down until only prime numbers remain. The prime factorization is the product of the prime factors, and different factor trees for the same number will result in the same prime factorization that can be checked by multiplying the factors.
Exponents and power
The document discusses exponents and powers in mathematics. It defines key terms like base, exponent, and power. It provides examples of exponents like 22 = 4 (two squared) and 23 = 8 (two cubed). It notes rules for exponents like when the exponent is 1 the number is the same as the base, and when the exponent is 0 the answer is 1 except for when the base is 0. The document also discusses properties of exponents like product of powers, power to a power, power of product, and addition/multiplication of exponents.
Detf recommendations jan 2013
The document recommends reforms to developmental education in Colorado community colleges. It proposes shortening remedial math and English sequences to move students more quickly into college-level courses. Recommendations include reducing the number of levels, integrating reading and English, using multiple placement measures, and accelerating course completion through compressed curricula and alternative delivery methods. Implementation would require cross-college collaboration, new professional development for faculty, and administrative changes to testing and student support services. Projected outcomes include increased enrollment, completion rates and cost-effectiveness of the redesigned developmental program.
AEFLA program directors conference july 2013
Presentation to the directors explaining the new design
Math – pathways at the developmental level
Algebra, Non-Algebra (statistics and math for liberal arts), Non-transfer (career math, clinical calculations)
College Composition and Reading (formerly reading and English), Integrated disciplines, Tiers of student support in classrooms
DETF recommendations CMC 2013
The document provides recommendations for redesigning developmental education programs based on research and best practices. It recommends reducing the time and credits needed for remediation through curriculum redesign informed by reverse design principles. Proposed redesigns include accelerating math pathways, integrating reading and English courses, implementing multiple measures for placement, and providing increased academic and student supports. A timeline is outlined for implementation teams to work with faculty and staff over the next year to transition all colleges to the new models by Fall 2014. Standardized measures of success focus on completion of gateway college-level math and English courses.
Detf recommendations feb 13 board presentation
This document summarizes recommendations from a developmental education taskforce in Colorado. It finds that traditional multi-level developmental education pipelines have high attrition rates and prevent many students from completing college-level math and English courses. The taskforce recommends reducing developmental education levels, redesigning curricula based on college readiness benchmarks, implementing student supports, and measuring success based on college course completion rather than course grades. A timeline is proposed for curriculum development, pilot programs, and statewide implementation over two years to accelerate students through developmental requirements into college-level courses.
More Related Content
What's hot
Factors And Prime Factorization
Factors are numbers that can be multiplied together to produce another number. The prime factorization of a number breaks it down into a product of prime numbers. For example, the prime factorization of 48 is 2 x 2 x 2 x 3, as 48 can be broken down into its prime factors of 2 and 3. There are two methods for finding the prime factorization of a number: using a factor tree or a ladder.
Fridayweek4
An equation contains an equal sign and is used to represent a relationship between quantities, where setting a variable equal to an expression allows you to solve for the variable. An expression does not contain an equal sign. To solve an equation means to find the solution, or value of the variable that makes the statement true. Solving an equation involves isolating the variable on one side of the equal sign. A variable stands for an unknown number, while a formula is an equation with two or more variables.
Laws of exponents and Power
This document discusses exponents and powers, which provide a simple way to represent large numbers. It outlines 7 rules for working with exponents: 1) Product of powers, 2) Quotient of powers, 3) Power of a power, 4) Power of a product, 5) Power of a quotient, 6) Zero power, and 7) Negative exponent. These rules explain how to simplify expressions involving exponents through distributing, adding, subtracting, multiplying, or dividing the exponents.
Exponents Rules
This document provides rules and examples for operations involving exponents. It explains that when bases are the same, exponents can be added or subtracted. It also discusses the power of a power rule where the outer exponent is multiplied by the inner one. There are warnings that these rules only apply when bases are the same or there is a single base inside brackets. Negative exponents are explained as reciprocals with the base moving above or below the fraction line.
Math 6.2
This document provides examples of solving inequalities using multiplication and division. It contains 5 examples of solving inequalities with these operations as well as references to problem numbers 2 through 32 on an even-numbered page and problems 36, 39 and 40 for additional practice.
Intro to Logs
The document introduces logarithms, defining them as the exponent that a fixed number (the base) must be raised to to equal the value. It provides examples of converting between logarithmic and exponential forms, and covers the key properties of logarithms including product, quotient, power, expanding, condensing, and the change of base formula.
Math chapter 3 dividing exponential expressions
This document discusses how to simplify exponential expressions when dividing numbers with the same base but different exponents. It provides examples of simplifying 37/33 and 53/58. The key rule explained is that when dividing numbers with the same base but different exponents, you copy the base and subtract the denominator's exponent from the numerator's exponent.
Math chapter 3 multiplying exponential expressions
When multiplying exponential expressions with the same base but different exponents, such as 34 * 35, the base is kept the same and the exponents are added. So, 34 * 35 = 39, because it is equivalent to 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3, which is 3 to the power of 9. More generally, when multiplying expressions of the form xm * xn, the result is x(m+n).
The laws of exponents
This document discusses the laws of exponents and operations involving exponents. It explains that an exponent shows the factor of a number and provides examples. It also outlines the following laws of exponents:
(1) When multiplying terms with the same base, add the exponents.
(2) When dividing terms with the same base, subtract the exponents.
(3) When raising a power to a power, multiply the exponents.
(4) When raising a product to a power, raise each factor to that power.
(5) Any number or variable raised to the power of 0 is equal to 1.
Donna g. bautista
The document discusses the eight laws of exponents:
1) Exponential form indicates how many times the base multiplies itself using exponents.
2) When multiplying powers with the same base, add the exponents.
3) When dividing powers with the same base, subtract the exponents.
4) When raising a power to an exponent, multiply the exponents.
4.1 prime factorization
The document discusses divisibility patterns and prime factorization. It provides examples of writing the prime factorization of numbers by decomposing them into prime factors using factor trees. It also discusses factoring monomials by writing them as a product of numbers and variables with exponents. Examples are provided of determining if a number is prime or composite, writing the prime factorization of various numbers, and factoring monomials like 12x2y and 18t2 into prime factors with exponents. Homework problems involve writing factors and prime factorizations.
1 ESO - UNIT 02 - POWERS AND SQUARE ROOTS
1. The document discusses different types of powers and operations involving powers. It defines exponent notation, names of powers, square and cube powers, and properties of powers including multiplication, division, powers of powers, and special powers.
2. Square roots are introduced as the positive number that produces the radicand when squared. Perfect squares are defined as numbers that are the square of another natural number. Estimating square roots using trial and error or the square root algorithm is explained.
3. The square root algorithm is demonstrated by calculating the square root of 105,674 in steps: separating the radicand into pairs, finding the square root of the first pair, multiplying to estimate remaining pairs, and bringing values into
Cross product
The document discusses the cross product of two vectors. Some key points:
- The cross product requires both vectors to be three-dimensional and results in another vector, unlike the dot product which results in a number.
- The formula for the cross product is derived using determinants. Two methods - using cofactors or copying columns - provide the formula.
- The direction of the cross product follows the right-hand rule and is orthogonal to both original vectors, unless they are parallel.
- The cross product can be used to find a vector orthogonal to a plane defined by three points, and to determine if three vectors lie in the same plane.
Law of exponent Teacher slide
The document provides an introduction to exponents including definitions, properties, and examples. It explains how to evaluate exponential expressions using the laws of exponents such as adding and multiplying expressions with the same base. The document also demonstrates how to solve exponential equations by rewriting them so the bases are the same using properties like quotient and power laws.
Law of exponent Lecture Slide
This document provides an introduction to exponents and exponential functions for 9th grade Algebra II students. It defines exponents as the number of times a base is used in multiplication. Exponents make writing repeated multiplication easier. The rules of exponents state that when multiplying terms with the same base, you add the exponents. A negative exponent means to take the reciprocal of the base raised to the positive exponent. The document provides examples of solving exponential equations by rewriting the bases to have a common base or using properties of exponents. It concludes by previewing the next lesson on standard form and graphing of exponential functions.
Heuristics 1
The document describes how to solve a ratio problem involving three people - Alan, Barry, and Cong Min - and their respective quantities of marbles. It gives the ratios of Alan's marbles to Barry's marbles as 3:2 and Barry's marbles to Cong Min's marbles as 6:5. To find the ratio of Alan's marbles to Cong Min's marbles, it uses two methods - treating Barry's quantity as unchanged to find the equivalent ratio of 9:5, and modeling the quantities with bars divided into units. Both methods result in the ratio of Alan's marbles to Cong Min's marbles being 9:5.
Prime Factorization
Prime factorization can be found using a factor tree method. The steps are to start with a composite number, write it as a multiplication problem of factors, and continue breaking numbers down until only prime numbers remain. The prime factorization is the product of the prime factors, and different factor trees for the same number will result in the same prime factorization that can be checked by multiplying the factors.
Exponents and power
The document discusses exponents and powers in mathematics. It defines key terms like base, exponent, and power. It provides examples of exponents like 22 = 4 (two squared) and 23 = 8 (two cubed). It notes rules for exponents like when the exponent is 1 the number is the same as the base, and when the exponent is 0 the answer is 1 except for when the base is 0. The document also discusses properties of exponents like product of powers, power to a power, power of product, and addition/multiplication of exponents.
What's hot (18)
Math chapter 3 multiplying exponential expressions
Math chapter 3 multiplying exponential expressions
Viewers also liked
Detf recommendations jan 2013
The document recommends reforms to developmental education in Colorado community colleges. It proposes shortening remedial math and English sequences to move students more quickly into college-level courses. Recommendations include reducing the number of levels, integrating reading and English, using multiple placement measures, and accelerating course completion through compressed curricula and alternative delivery methods. Implementation would require cross-college collaboration, new professional development for faculty, and administrative changes to testing and student support services. Projected outcomes include increased enrollment, completion rates and cost-effectiveness of the redesigned developmental program.
AEFLA program directors conference july 2013
Presentation to the directors explaining the new design
Math – pathways at the developmental level
Algebra, Non-Algebra (statistics and math for liberal arts), Non-transfer (career math, clinical calculations)
College Composition and Reading (formerly reading and English), Integrated disciplines, Tiers of student support in classrooms
DETF recommendations CMC 2013
The document provides recommendations for redesigning developmental education programs based on research and best practices. It recommends reducing the time and credits needed for remediation through curriculum redesign informed by reverse design principles. Proposed redesigns include accelerating math pathways, integrating reading and English courses, implementing multiple measures for placement, and providing increased academic and student supports. A timeline is outlined for implementation teams to work with faculty and staff over the next year to transition all colleges to the new models by Fall 2014. Standardized measures of success focus on completion of gateway college-level math and English courses.
Detf recommendations feb 13 board presentation
This document summarizes recommendations from a developmental education taskforce in Colorado. It finds that traditional multi-level developmental education pipelines have high attrition rates and prevent many students from completing college-level math and English courses. The taskforce recommends reducing developmental education levels, redesigning curricula based on college readiness benchmarks, implementing student supports, and measuring success based on college course completion rather than course grades. A timeline is proposed for curriculum development, pilot programs, and statewide implementation over two years to accelerate students through developmental requirements into college-level courses.
March 2013 detf overview
This document summarizes recommendations for redesigning developmental education in the Colorado Community College System. It proposes reducing the time and credits needed to complete remedial requirements through curriculum redesign, co-requisite courses, and math pathways tailored to students' majors. Recommendations also include uniform placement testing, consistent student supports, and faculty training. The goal is to move students more quickly into college-level courses and completion of developmental prerequisites in one semester. A task force will oversee implementation teams to transition all colleges to the new models by Fall 2014. Success will be measured by completion of gateway math and English courses.
Rysavy june 2012 pipeline presentation
This document analyzes developmental education pass rates in Colorado community colleges from 2007-2009. It examines pass rates for English, reading, and math courses at levels such as 030, 060, 090 and 100. Overall pass rates increased from the 030 to higher course levels. For example, the English 030 pass rate was 69% while the English 121 pass rate was 17%. The document also compares pass rates across different community colleges, finding some variation between institutions.
Post apocalyptic ethical theory adventure game
Presentation on the game as an ePortfolio for the Colorado Community College System's Immersive and Game-Based Learning Grant
Viewers also liked (7)
More from cccscoetc
NROC Digital Badge Webinar Presentation june 2016
This document discusses Colorado's digital badging initiative to credential technical skills. It provides background on the fragmented traditional credentialing system and outlines attributes of a new, learning-based system using digital badges. Badges provide portable, transparent credentials for skills obtained in various learning environments. Colorado's initiative aims to issue badges in technical areas like math, machining, and engineering based on industry-defined competencies. The badges provide evidence of skills to help learners and employers. Challenges to digital badges becoming mainstream include lack of awareness, but many institutions and companies now issue or accept badges.
CCCS-Advanced Manufacturing badge presentation WCET june-2016
This document discusses the use of digital badges to recognize skills and competencies in the workforce. It notes that today's credentialing system is complex and difficult to understand for employers, individuals, and educators. Digital badges can provide a learning-based alternative that is learner-centered, competency-based, and industry-driven. The Colorado Community College System is piloting the use of digital badges in several technical areas like math, machining, and engineering graphics. Badges can help provide transparent, portable credentials that map to specific skills and allow learners to showcase competencies across different programs and throughout their careers.
CCCS and CSU Digital Badge presentation at Aurora Badge Summit June 2016
Colorado State University Online and the Colorado Community College System are working to create a digital badge ecosystem across higher education institutions and industry in Colorado. The ecosystem is intended to provide transparent, portable credentials for learners through competency-based micro-credentials. It began in 2013 in response to needs from industry for shorter training turnarounds and a more credentialed workforce. Early collaborations established principles of learner-focused, community-centered and industry-driven badges, and a structure was developed to connect competencies, curriculum maps and badge graphics. Pilot programs issued over 130 badges from 2014-2015. Efforts continue to expand industry recognition of badges and connect badges to credit-bearing pathways and degrees.
CCCS Digital Badging Taskforce Whitepaper BMP 1130
The document discusses establishing a digital badge system within the Colorado Community College System (CCCS). It proposes that CCCS can leverage digital badges or micro-credentials to document skills and provide a portable verification of competencies. The document outlines challenges in selecting a badge platform, developing processes and frameworks, and increasing demand. It recommends implementing a pilot program within 6 months using $5,000 in funding to select one of the top badge platforms and develop a pilot for Technical Math for Industry digital badges.
Northeastern Junior College-Nacelle Wind Power Generation Lab
A wind turbine nacelle donated to NJC was assembled on site to create a lab environment simulating an actual turbine. With donations of gearboxes, generators, and other components from industry partners like GE and Infigen, as well as funding from NJC and a grant, students designed electrical and pitch control systems to automate functions like lubrication and temperature control. By winter 2015, students had completed schematics and begun building automated control panels to operate mechanical systems that will provide hands-on experience for the wind technician program.
Results are (coming) in: First Look at Colorado’s Scorecard for Developmenta...
Results are (coming) in: First Look at Colorado’s Scorecard for Developmental Education Redesign Presentation at NADE by Marilyn Smith
HVAC First-Person Gaming Simulation presentation
This document describes an HVAC gaming simulation project between Red Rocks Community College and Pikes Peak Community College. The project aims to gamify an existing HVAC simulation software to motivate students and allow for hybrid HVAC courses. A gamification engine would add badges students can earn for completing different equipment tasks and a leaderboard to track earnings. The schedule outlines developing and testing a prototype in 2013, with the goal of expanding its use in additional HVAC courses through 2014.
LERN remedial seminar, Washington DC 7 29 14
Presentation by Bitsy Cohen on Colorado's redesign of community colleges' developmental education at the LERN remedial seminar, Washington DC 7 29 14
Jumping Into the Deep End: CCCS' Success At Moving CTE Courses to Blended Cou...
CCCS successfully moved many Career and Technical Education (CTE) courses to blended/hybrid formats. Originally only 15 of 122 relevant courses were hybrid, but a deadline of December 2013 required all 122 be hybrid. CCCS developed a plan with the following steps:
1) Analyze certificates and courses, identifying high-enrollment and certifiable courses for hybrid conversion.
2) Create a course development plan with benchmarks and incentives for colleges to share hybrid courses.
3) Work with faculty through onsite instructional designers to "chunk" content into online and hands-on activities, and assess quality.
4) Publish hybrid courses openly online to increase enrollment in certificate programs and meet industry demands within
Faculty voices presentation at ALP Baltimore June 2014
Presentation given at ALP annual conference in Baltimore, MD, June 2014 on the publication "Faculty Voices". Faculty Voices is funded through a TAACCCT 1 grant. The grant focused on energy course redesign and the redesign of all developmental education courses in the Colorado Community College System.
Morgan Community College's Hybrid-Electric Simulator Portfolio
Morgan Community College's portfolio showcases simulation equipment automotive students learn about vehicle systems and in particular hybrid automobiles.
FRCC MAT050 Intro
This document provides information about a quantitative literacy course called MAT 050. It is a hybrid course designed for students planning to take other math courses. Students will spend about 12 hours per week on course material, including 2-3.5 hours in class and the remaining hours outside of class. The course uses an online learning platform called D2L and online homework system called My Math Lab. Students will have access to course resources like power point presentations, online tutoring, and help centers. Assessment includes group activities, homework, quizzes, tests, and a final exam. Students are expected to complete practice problems, activities, and homework each week.
FRCC MAT050 Unit 2 Changes
The document outlines several changes and updates to instructional methods. Scaffolding is described as a learning process that provides support tailored to student needs to help them achieve learning goals, with supports gradually removed as students develop independent strategies. Note-taking no longer requires template collection. Videos replace textbooks and will not have associated problems collected. Group work will still be collected but allows selecting two assignments weekly. Homework can also select two assignments weekly but does not require complete sentences. Online homework will now be graded directly rather than collecting printouts.
FRCC MAT050 Unit 3 Changes
Unit 3 focuses on getting students ready for transfer level courses through flipped teaching with math videos students must watch before class. The instructor will check that students watched videos and took notes in each class, no longer providing note templates. Group work will now be graded in class with students earning points for participating, and cannot be made up if absent. Homework from the textbook and online platform will no longer be collected, though similar questions may appear on exams.
FRCC MAT050 Factoring (Sect 3.11)
This document provides instructions and examples for factoring trinomials and binomials. It begins with an introduction to factoring trinomials of the form ax^2 + bx + c. It then gives examples of factoring different types of expressions, including factoring out negatives, dealing with two variables, and factoring completely. It concludes with a list of homework problems from the textbook for further practice factoring expressions.
FRCC MAT050 Dividing by a Monomial (Sect 3.10)
This document discusses dividing polynomials by monomials. It provides examples of dividing terms with variables by monomials, including factoring out negatives. The homework assignments are to complete odd problems from pages 297 and 303 of the textbook, with no additional problems from an online system.
FRCC MAT050 Linear Inequalities (Sect 3.9)
This document discusses linear inequalities and their properties. A linear inequality is any relationship of the form ax + b, where a is not equal to 0. The key points covered include:
- Linear inequalities can use the symbols <, >, ≤, or ≥ to represent relationships.
- When multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality symbol flips.
- Graphing linear inequalities results in solutions represented by regions on a number line.
- Compound inequalities involving AND or OR statements can be solved by evaluating each inequality separately and combining the solutions appropriately.
FRCC MAT050 Solving Formulas (Sect 3.8)
This document outlines the steps to solve formulas in Section 3.8, including group work to explore problems on page 272 numbers 1-8, a class discussion of how it works using problems on page 274 numbers 9-11, and homework assignments of problems on page 279 numbers 1-12 and the My Math Lab Section 3.8.
FRCC MAT050 Equations of Lines (Sect 3.7)
This document provides instructions for group work and homework on equations of lines. Students are asked to explore examples of writing equations of lines and describe how it connects to group work. For homework, students should complete selected problems from the textbook on how to write equations of lines without using the online system My Math Lab.
FRCC MAT050 Writing Equations of Lines II (Sect 3.6)
This document provides instructions on writing equations of lines. It gives examples of writing equations for vertical and horizontal lines passing through given points. It also gives examples of writing equations for lines parallel to given lines and passing through a specified point. Students are assigned homework problems writing equations of lines in various configurations from their textbook.
More from cccscoetc (20)
CCCS-Advanced Manufacturing badge presentation WCET june-2016
CCCS-Advanced Manufacturing badge presentation WCET june-2016
CCCS and CSU Digital Badge presentation at Aurora Badge Summit June 2016
CCCS and CSU Digital Badge presentation at Aurora Badge Summit June 2016
CCCS Digital Badging Taskforce Whitepaper BMP 1130
CCCS Digital Badging Taskforce Whitepaper BMP 1130
Northeastern Junior College-Nacelle Wind Power Generation Lab
Northeastern Junior College-Nacelle Wind Power Generation Lab
Results are (coming) in: First Look at Colorado’s Scorecard for Developmenta...
Results are (coming) in: First Look at Colorado’s Scorecard for Developmenta...
Jumping Into the Deep End: CCCS' Success At Moving CTE Courses to Blended Cou...
Jumping Into the Deep End: CCCS' Success At Moving CTE Courses to Blended Cou...
Faculty voices presentation at ALP Baltimore June 2014
Faculty voices presentation at ALP Baltimore June 2014
Morgan Community College's Hybrid-Electric Simulator Portfolio
Morgan Community College's Hybrid-Electric Simulator Portfolio
FRCC MAT050 Writing Equations of Lines II (Sect 3.6)
FRCC MAT050 Writing Equations of Lines II (Sect 3.6)
Recently uploaded
A Visual Guide to 1 Samuel | A Tale of Two Hearts
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh
skeleton System.pdf (skeleton system wow)
🔥🔥🔥🔥🔥🔥🔥🔥🔥
إضغ بين إيديكم من أقوى الملازم التي صممتها
ملزمة تشريح الجهاز الهيكلي (نظري 3)
💀💀💀💀💀💀💀💀💀💀
تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
🔥🔥🔥🔥🔥🔥🔥🔥🔥
Wound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
Benner "Expanding Pathways to Publishing Careers"
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneGeography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as discipline
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf
مصحف أحرف الخلاف للقراء العشرةأعد أحرف الخلاف بالتلوين وصلا سمير بسيوني غفر الله له
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Whether you're new to SEO or looking to refine your existing strategies, this webinar will provide you with actionable insights and practical tips to elevate your nonprofit's online presence.
Stack Memory Organization of 8086 Microprocessor
The stack memory organization of 8086 microprocessor.
How to Predict Vendor Bill Product in Odoo 17
This slide will guide us through the process of predicting vendor bill products based on previous purchases from the vendor in Odoo 17.
Recently uploaded (20)
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf
مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
Elevate Your Nonprofit's Online Presence_ A Guide to Effective SEO Strategies...
FRCC MAT050 Proportions (Sect 3.3)
- 2. Proportions – What are they? Proportions are two ratios that are equal to each other. You can cross multiply to get an equivalent equation. d c b a cbda
- 3. Homework Slide 2 Explore page 227#1-8 and 9b
- 4. Homework Sec 3.3 page 234#1, 2, 5, 6, 7 My Math Lab section 3.3