76854795HSED 5.09 - Math
Course Information
Description
Basic math skills for advanced level (9.0 - 12.9 grade equivalent) students offered in a lab setting.
Total Credits
2

Course Competencies
  1. Calculate with whole numbers
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you calculate quotients with single and double digit divisors
    you demonstrate mastery of multiplication facts from 0-12
    you estimate reasonableness of answer
    you add multiple digit whole numbers with and without regrouping
    you subtract multiple digit whole numbers with and without regrouping
    you solve word problems using sums and differences, multiplication and division

  2. Calculate with fractions
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you write fractions from pictures and word
    you identify forms of fractions
    you reduce fractions
    you raise fractions to higher terms
    you determine the least common denominator
    you change improper fractions to whole numbers or mixed numbers
    you change mixed numbers to improper fractions
    you determine what part one number is of another
    you add and subtract, multiply and divide whole numbers, fractions, and mixed numbers
    you solve word problems using addition, subtraction, multiplication and division of fractions

  3. Calculate with decimals
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you identify the place value of decimals by reading and writing decimals
    you convert mixed numbers to decimal forms
    you compare decimals
    you round decimals to the specified place value
    you add, subtract, multiply and divide decimals and whole numbers
    you solve word problems using addition, subtraction, multiplication, and division of decimals

  4. Calculate with ratio and proportions
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you write ratios and proportions
    you simplify ratios and proportions
    you compare ratios and proportions
    you solve problems using proportions and rations

  5. Calculate with percents
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you determine the value of percent
    you identify the percent, the whole, and the part
    you change decimals to percents
    you change percents to decimals
    you change fractions to percents
    you change percents to fractions
    you solve problems using percent
    you solve word problems using percent

  6. Calculate with integers
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you define integers
    you add, subtract, multiply and divide integers
    you solve word problems using integers

  7. Calculate with exponents
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you compute powers of numbers
    you compute square roots of perfect squares
    you compute roots of real numbers
    you solve word problems using roots

  8. Calculate with rational numbers
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you simplify rational expressions
    you add/subtract and multiply/divide rational terms
    you solve rational equations
    you solve word problems using rational equations

  9. Calculate using the order of operations
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you identify order of operations
    you apply order of operations
    you solve word problems applying order of operations
    you apply commutative property of addition and multiplication
    you apply associative property of addition and multiplication
    you solve word problems using the order of operations

  10. Calculate with radical numbers (square roots)
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you compute powers of numbers
    you compute square roots of perfect squares
    you solve word problems using square roots

  11. Use calculators in problem solving
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you calculate whole numbers using a calculator
    you calculate fractions using a calculator
    you calculate decimals using a calculator
    you estimate reasonableness of answer
    you solve problems using calculators

  12. Use measurement tools
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you identify common measurement tools
    you read common measurements (whole, half, quarter, etc.)
    you use common measurement tools
    you solve word problems using measurement tools

  13. Demonstrate use of measurement systems
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you identify units of length
    you identify units of weight
    you identify units of capacity
    you identify units of time
    you compare units of measurement
    you change larger units of measurement to smaller units of measurement (including within and between Metric and US Customary Systems)
    you change smaller units of measurement to larger units of measurement (including within and between Metric and US Customary Systems)
    you convert from one unit of measurement to another (proportion and/or dimensional analysis)
    you change mixed measurements to specific units of measurement
    you add and subtract measurements
    you multiply and divide measurements
    you solve word problems using measurement systems

  14. Use rectangular co-ordinate system
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you solve word problems using rectangular co-ordinate systems
    you identify parts and points of coordinate planes
    you find distance on a coordinate plane
    you create x/y tables of values
    you graph linear equations
    you solve linear equations using graphs
    you find slopes and intercepts
    you label solution using correct units
    you use level appropriate terminology  
    you estimate reasonableness of answer

  15. Interpret tables, charts and graphs
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you locate a point on a map
    you interpret tables
    you interpret bar, line and circle graphs
    you solve word problems involving visual data
    you organize information to construct tables and graphs
    you extract information from graphs to solve problems
    you solve word problems using tables and graphs

  16. Analyze data using basic statistics
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you compute range
    you compute mean
    you compute median
    you determine mode
    you solve word problems involving basic statistical data

  17. Predict outcomes using probability
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you calculate probabilities
    you calculate odds
    you use probability to predict outcomes
    you solve problems using probability
    you solve word problems using probability
    you estimate reasonableness of answer

  18. Solve problems using geometric figures
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you identify common geometric formulas
    you identify angle relationships (parallel and perpendicular lines, vertical angles, supplementary, complementary, acute, obtuse, right, straight line and reflex angle)
    you identify plane and solid geometric figures
    you compute area, volume, perimeter, and circumference problems
    you solve area, volume, perimeter, and circumference word problems
    you solve triangle problems (similar, congruent, etc.)
    you solve problems using the Pythagorean Theorem
    you solve 30-60 and 45-45 triangles

  19. Simplify algebraic equations
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you simplify expressions using order of operations
    you use number operations to simplify polynomial expressions (+, -, x, /, FOIL)
    you factor polynomials

  20. Solve algebraic equations
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you substitute values for variables in expressions and equations
    you evaluate expressions and equations with substituted values
    you solve basic equations with variables
    you solve basic inequalities
    you write basic algebraic equations
    you use algebra to solve word problems
    you solve linear equations
    you rearrange formula to solve for specific variable

  21. Calculate with scientific notation
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you compute powers of real numbers
    you use number operations with powers of real numbers
    you write numbers in scientific notation
    you convert between scientific notation and numeric form
    you perform number operations with scientific notation
    you identify rules of significant digits
    you solve problems using rules of significant digits