77854786Math for Arts
Course Information
Description
This course presents basic mathematics in the context of arts career programs. Students will review and enhance their proficiency in basic arithmetic operations. Whole numbers, decimals, fractions, percent numbers, ratios, proportions, elementary geometry, measurement and conversion of units are included. There is an emphasis on applied math problems, teamwork, communication and critical thinking skills. Group projects are a major focus. Students who successfully complete this course will be prepared to enter their Arts Sector Program, or along with the co-requisite Algebra Workshop for Arts, will be prepared to take College Math, Math Reasoning or Elementary Algebra with Apps.
Total Credits
2
Course Competencies
  1. Perform calculations on whole number and algebraic expressions
    Assessment Strategies
    Written assignments, quizzes/tests (with and without use of calculator)
    Criteria
    Identify various forms of whole numbers
    Round whole numbers to specific place value
    Add, subtract, multiply, and divide whole numbers
    Multiply and divide whole numbers
    Apply order of operations
    Evaluate algebraic expressions
    Use exponential notation
    Add, subtract, multiply, and divide whole number expressions
    Identify and apply algebraic properties
    Simplify algebraic expressions by combining like terms
    Compute positive, whole number exponential expressions
    Translate and English statements into algebraic expressions
    Solve applied/word problems using basic operations
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  2. Use Integers
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Use inequality symbols with integers
    Evaluate absolute value of integers
    Add, subtract, multiply, and divide integers
    Solve multi-step integer problems by applying order of operations
    Apply exponents with integers as bases
    Simplify and evaluate algebraic expressions with integers
    Solve applied/word problems involving integers
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  3. Solve basic equations and algebraic expressions
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Use the additive inverse property to solve equations
    Solve equations using the multiplication and division principles of equality
    Solve equations using several principles of equality
    Translate English statements into equations
    Multiply algebraic expressions with exponents
    Apply the distributive property to multiply a monomial by a polynomial
    Solve applied problems
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  4. Use fractions and fractional expressions
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Factor whole numbers and whole number expressions
    Identify types of fractions and their parts
    Convert between improper fractions, mixed numbers, and whole numbers
    Simplify fractions
    Multiply and divide fractions and mixed numbers with like and unlike denominators
    Add and subtract fractions and mixed numbers with like and unlike denominators
    Reduce fractions to lowest terms
    Simplify fractional expressions with exponents
    List multiples of algebraic expressions
    Determine lowest common multiple (LCM) of numerical and algebraic expressions
    Add and subtract fractional expressions with and without a common denominator
    Simplify complex fractions
    Solve single and multi-step applied problems involving fractions

  5. Perform calculations using decimals
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Identify place value of a digit within a decimal number
    Round decimals to a specific place value
    Convert between decimals and fractions
    Add, subtract, multiply and divide with decimals (with and without a calculator)
    Compute decimal equivalents for ½, ¼, ¾, 1/3, 2/3, 1/5, 2/5, 3/5, 4/5
    Solve applied problems containing decimals
    Estimate reasonableness of an answer
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  6. Perform calculations using percent
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Compare decimal fractions to decimal form of number
    Add, subtract, multiply, and divide decimal expressions
    Estimate with percent
    Convert between decimals, percent, and fractions
    Solve applied problems involving percent using proportions
    Solve applied problems involving percent using equations
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  7. Use ratios, rates, and proportions in applied problems
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Define and distinguish between rates and ratios
    Write ratios and rates from text
    Determine the compliment of a ratio
    Compute unit rates and use unit rates to comparison shop
    Determine if two rates or ratios are equal by checking proportionality
    Solve numerical proportion problems for missing value
    Solve applied/word problems using proportions
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  8. Perform calculations on polynomials
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Identify the terms of a polynomial and the coefficients of the terms
    Find the opposite of a polynomial
    Simplify algebraic expressions by combining like terms
    Add, subtract, and multiply polynomials
    Translate English statements into variable expressions
    Find the greatest common factor (GCF) of numbers and algebraic terms
    Factor the greatest common factor from a polynomial

  9. Solve equations
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Solve equations using one Principle of Equality
    Solve equations using more than one Principle of Equality
    Solve equations needing simplification
    Solve equations containing fractions and decimals
    Verify solutions to equations by evaluation
    Write equations to solve application problems

  10. Graph linear equations
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Plot points on a rectangular coordinate system and identify coordinates on given points
    Find solutions to linear equations with two variables
    Write data from a graph as ordered pairs
    Graph points that lie on horizontal and vertical lines
    Graph linear equations in two variables
    Graph horizontal and vertical lines
    Find slope using rise over run
    Use slope formula
    Graph a line using slope-intercept form of a line
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields

  11. Use formulas to solve application problems
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Identify the correct formula to use for an applied problem
    Solve applied problems using formulas and performing calculations
    Identify unknown variable in applied problems
    Manipulate formulas to solve for different variable
    Solve formulas using algebraic principles of equality
    Use geometric formulas to find perimeter, circumference, and area
    Find the measure of an unknown angle
    Use The Pythagorean Theorem

  12. Convert measurements of English and Metric systems
    Assessment Strategies
    Written assignments, quizzes and/or tests
    Criteria
    Differentiate between the English and Metric Systems
    Convert measurements between English units
    Convert measurements between Metric units
    Convert measurements between English and Metric units
    Identify common abbreviations for the common English units
    Use “unit fractions” (Dimensional Analysis) to convert units within the English and Metric Systems
    Use “unit fractions” (Dimensional Analysis) to convert units between the English and Metric Systems
    Apply knowledge of the prefixes: kilo-, mega-, giga-, centi-, milli-
    Convert between metric units by shifting the decimal point
    Convert between Fahrenheit and Celsius using formulas
    Applied problems use inclusive language and avoid the use of alienating language
    Applied problems illustrate the contributions of historically excluded groups in STEM fields