99854795HSED 5.09 - Math
Course Information
Description
Learners will apply math concepts in real-world context.
Total Credits
0

Course Competencies
  1. Solve problems with whole numbers
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    use vocabulary related to whole numbers (sum, difference, quotient, etc.)
    demonstrate the concepts of addition
    demonstrate the concepts of subtraction
    demonstrate the concepts of multiplication
    demonstrate the concepts of division
    explain relationships among the four operations
    solve application problems using sums and differences, multiplication and division
    estimate reasonableness of an answer
    use applicable calculator functions to solve problems

  2. Solve problems with fractions
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    write fractions from pictures and word
    simplify fractions
    reduce fractions
    convert fractions to equivalent forms
    solve application problems using sums and differences, multiplication and division
    use applicable calculator functions to solve problems

  3. Solve problems with decimals
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    identify the place value of digits in decimal numbers
    convert between fractions and decimals
    compare decimals
    round decimals to the specified place value
    add, subtract, multiply and divide decimals and whole numbers
    solve application problems using addition, subtraction, multiplication, and division of decimals
    use applicable calculator functions to solve problems

  4. Solve problems with ratio, rates, and proportions
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    write ratios and proportions
    simplify ratios
    compare ratios
    solve problems using proportions and ratios
    determine unit rates
    compare unit rates
    solve application problems using ratios and proportions
    use applicable calculator functions to solve problems

  5. Solve problems with percents
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    define percent
    identify the percent, the whole, and the part
    convert among decimals, fractions, and percents
    show how an amount can be expressed as a decimal, fraction, and percent
    use mental math to find common percents (10%, 25%, 50%)
    solve application problems using percent
    use applicable calculator functions to solve problems

  6. Solve problems with integers
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    define integers
    add, subtract, multiply and divide integers
    solve application problems using integers
    use applicable calculator functions to solve problems

  7. Solve problems with exponents and roots
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    compute powers of numbers
    compute square roots of perfect squares
    compute roots of real numbers
    solve application problems using exponents and roots
    use applicable calculator functions to solve problems
    convert between standard form and scientific notation

  8. Solve problems using the order of operations
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    identify order of operations
    apply order of operations
    solve application problems applying order of operations
    apply properties of real numbers of addition and multiplication
    use applicable calculator functions to solve problems

  9. Solve problems involving measurement systems
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    identify common measurement tools
    read common measurements (whole, half, quarter, etc.)
    use common measurement tools
    solve application problems using measurement tools
    identify units of length
    identify units of weight
    identify units of capacity
    identify units of time
    compare units of measurement
    convert units of measurements (within and between the Metric and US Standard)
    convert from one unit of measurement to another
    solve application problems using measurement systems

  10. Use rectangular co-ordinate system
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    identify parts and points of coordinate planes
    find distance on a coordinate plane
    create x/y tables of values
    graph linear equations
    find slopes and intercepts
    use graphing terminology

  11. Interpret tables, charts and graphs
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    locate a point on a map
    interpret tables
    interpret bar, line and circle graphs
    organize information to construct tables and graphs
    solve application problems using tables and graphs

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

  13. Predict outcomes using probability
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    calculate probabilities
    calculate odds
    solve application problems using probability
    estimate reasonableness of answer

  14. Solve problems using geometric figures
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    identify common geometric formulas
    identify angle relationships (parallel and perpendicular lines, vertical angles, supplementary, complementary, acute, obtuse, right, straight line and reflex angle)
    identify plane and solid geometric figures
    compute area, volume, perimeter, and circumference problems
    solve area, volume, perimeter, and circumference word problems
    solve problems using triangles, including Pythagorean Theorem, similar triangles, and application problems

  15. Apply algebraic concepts to formulas, expressions and equations
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    evaluate formulas, expressions and equations using substituted values for the variable(s)
    solve basic equations
    translate words into algebraic formulas, expressions and equations
    use algebra to solve application problems