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
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Calculate with whole numbersAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou calculate quotients with single and double digit divisorsyou demonstrate mastery of multiplication facts from 0-12you estimate reasonableness of answeryou add multiple digit whole numbers with and without regroupingyou subtract multiple digit whole numbers with and without regroupingyou solve word problems using sums and differences, multiplication and division
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Calculate with fractionsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou write fractions from pictures and wordyou identify forms of fractionsyou reduce fractionsyou raise fractions to higher termsyou determine the least common denominatoryou change improper fractions to whole numbers or mixed numbersyou change mixed numbers to improper fractionsyou determine what part one number is of anotheryou add and subtract, multiply and divide whole numbers, fractions, and mixed numbersyou solve word problems using addition, subtraction, multiplication and division of fractions
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Calculate with decimalsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou identify the place value of decimals by reading and writing decimalsyou convert mixed numbers to decimal formsyou compare decimalsyou round decimals to the specified place valueyou add, subtract, multiply and divide decimals and whole numbersyou solve word problems using addition, subtraction, multiplication, and division of decimals
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Calculate with ratio and proportionsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou write ratios and proportionsyou simplify ratios and proportionsyou compare ratios and proportionsyou solve problems using proportions and rations
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Calculate with percentsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou determine the value of percentyou identify the percent, the whole, and the partyou change decimals to percentsyou change percents to decimalsyou change fractions to percentsyou change percents to fractionsyou solve problems using percentyou solve word problems using percent
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Calculate with integersAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou define integersyou add, subtract, multiply and divide integersyou solve word problems using integers
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Calculate with exponentsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou compute powers of numbersyou compute square roots of perfect squaresyou compute roots of real numbersyou solve word problems using roots
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Calculate with rational numbersAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou simplify rational expressionsyou add/subtract and multiply/divide rational termsyou solve rational equationsyou solve word problems using rational equations
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Calculate using the order of operationsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou identify order of operationsyou apply order of operationsyou solve word problems applying order of operationsyou apply commutative property of addition and multiplicationyou apply associative property of addition and multiplicationyou solve word problems using the order of operations
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Calculate with radical numbers (square roots)Assessment StrategiesOral, Written or Graphic AssessmentCriteriayou compute powers of numbersyou compute square roots of perfect squaresyou solve word problems using square roots
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Use calculators in problem solvingAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou calculate whole numbers using a calculatoryou calculate fractions using a calculatoryou calculate decimals using a calculatoryou estimate reasonableness of answeryou solve problems using calculators
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Use measurement toolsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou identify common measurement toolsyou read common measurements (whole, half, quarter, etc.)you use common measurement toolsyou solve word problems using measurement tools
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Demonstrate use of measurement systemsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou identify units of lengthyou identify units of weightyou identify units of capacityyou identify units of timeyou compare units of measurementyou 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 measurementyou add and subtract measurementsyou multiply and divide measurementsyou solve word problems using measurement systems
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Use rectangular co-ordinate systemAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou solve word problems using rectangular co-ordinate systemsyou identify parts and points of coordinate planesyou find distance on a coordinate planeyou create x/y tables of valuesyou graph linear equationsyou solve linear equations using graphsyou find slopes and interceptsyou label solution using correct unitsyou use level appropriate terminologyyou estimate reasonableness of answer
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Interpret tables, charts and graphsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou locate a point on a mapyou interpret tablesyou interpret bar, line and circle graphsyou solve word problems involving visual datayou organize information to construct tables and graphsyou extract information from graphs to solve problemsyou solve word problems using tables and graphs
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Analyze data using basic statisticsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou compute rangeyou compute meanyou compute medianyou determine modeyou solve word problems involving basic statistical data
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Predict outcomes using probabilityAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou calculate probabilitiesyou calculate oddsyou use probability to predict outcomesyou solve problems using probabilityyou solve word problems using probabilityyou estimate reasonableness of answer
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Solve problems using geometric figuresAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou identify common geometric formulasyou 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 figuresyou compute area, volume, perimeter, and circumference problemsyou solve area, volume, perimeter, and circumference word problemsyou solve triangle problems (similar, congruent, etc.)you solve problems using the Pythagorean Theoremyou solve 30-60 and 45-45 triangles
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Simplify algebraic equationsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou simplify expressions using order of operationsyou use number operations to simplify polynomial expressions (+, -, x, /, FOIL)you factor polynomials
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Solve algebraic equationsAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou substitute values for variables in expressions and equationsyou evaluate expressions and equations with substituted valuesyou solve basic equations with variablesyou solve basic inequalitiesyou write basic algebraic equationsyou use algebra to solve word problemsyou solve linear equationsyou rearrange formula to solve for specific variable
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Calculate with scientific notationAssessment StrategiesOral, Written or Graphic AssessmentCriteriayou compute powers of real numbersyou use number operations with powers of real numbersyou write numbers in scientific notationyou convert between scientific notation and numeric formyou perform number operations with scientific notationyou identify rules of significant digitsyou solve problems using rules of significant digits