South Carolina High School Employability Credential: Essentials of Math I
Skills available for South Carolina Essentials of Math I math standards
Strand
Print skill plan
N
Whole Numbers, Number Theory, Numeration/Real World Math, Arithmetic & Calculation
Standards
Standard 1 Interpret the meanings of coefficients, factors, terms, and expressions based on their real-world contexts. Interpret complicated expressions as being composed of simpler expressions.
Standard 1 Interpret the meanings of coefficients, factors, terms, and expressions based on their real-world contexts. Interpret complicated expressions as being composed of simpler expressions.
Standard 2 Write a function that describes a relationship between two quantities.
Standard 2 Write a function that describes a relationship between two quantities.
Standard 2a: Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.
Standard 2a: Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication and division to build new functions.
Standard 2b: Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real-world situations.
Standard 2b: Combine functions using the operations addition, subtraction, multiplication, and division to build new functions that describe the relationship between two quantities in mathematical and real-world situations.
Competency Goals
1 Identify place value through 100,000 and decimals through .01.
Whole numbers
Decimals
1 Identify place value through 100,000 and decimals through .01.
Whole numbers
Decimals
2 Recognize, read, and write numbers 0-100.
Recognize numbers
Read and write numbers
2 Recognize, read, and write numbers 0-100.
Recognize numbers
Read and write numbers
3 Read, write, and compare whole numbers.
Numbers up to 1,000
Numbers up to 100,000
3 Read, write, and compare whole numbers.
Numbers up to 1,000
Numbers up to 100,000
4 Identify the place value of a digit in a number.
Whole numbers
Decimals
4 Identify the place value of a digit in a number.
Whole numbers
Decimals
5 Compute with whole numbers to solve word problems.
Addition and subtraction
Multiplication and division
Mixed operations
5 Compute with whole numbers to solve word problems.
Addition and subtraction
Multiplication and division
Mixed operations
6 Demonstrate understanding of greater than, less than, and equal concepts.
6 Demonstrate understanding of greater than, less than, and equal concepts.
7 Count by multiples (Use patterns and sequences to establish concepts of patterns in math).
7 Count by multiples (Use patterns and sequences to establish concepts of patterns in math).
8 Identify prime and composite numbers.
8 Identify prime and composite numbers.
9 Factor numbers.
9 Factor numbers.
10 Find the least common multiple for pairs of numbers.
10 Find the least common multiple for pairs of numbers.
11 Find the greatest common factor for pairs of numbers.
11 Find the greatest common factor for pairs of numbers.
12 Distinguish between odd and even numbers.
12 Distinguish between odd and even numbers.
13 Read and write whole numbers, fractions, decimals, and percents.
Whole numbers
Fractions
Decimals
Percents
13 Read and write whole numbers, fractions, decimals, and percents.
Whole numbers
Fractions
Decimals
Percents
14 Develop and use order relations for whole numbers, fractions, and decimals.
Whole numbers
Fractions and decimals
14 Develop and use order relations for whole numbers, fractions, and decimals.
Whole numbers
Fractions and decimals
15 Understand and apply the rules governing how the basic math operations relate to each other.
Addition and subtraction
Addition and multiplication
Multiplication and division
15 Understand and apply the rules governing how the basic math operations relate to each other.
Addition and subtraction
Addition and multiplication
Multiplication and division
16 Apply mathematical skills to daily living activities in the household.
16 Apply mathematical skills to daily living activities in the household.
17 Apply mathematical skills to entertainment and leisure activities.
17 Apply mathematical skills to entertainment and leisure activities.
18 Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.
18 Recognize symbols/signs used for basic arithmetic operations of subtraction, addition, multiplication, and division.
19 Demonstrate the knowledge of 4 basic arithmetic operations with whole numbers.
19 Demonstrate the knowledge of 4 basic arithmetic operations with whole numbers.
DM
Decimals and Money
Standards
Standard 1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
Linear equations
Exponential equations
Quadratic equations
Standard 1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
Linear equations
Exponential equations
Quadratic equations
Standard 2 Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.
Radical equations
Rational equations
Standard 2 Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.
Radical equations
Rational equations
Competency Goals
1 Identify names and values of coins and currency.
1 Identify names and values of coins and currency.
2 Write money amounts in words and numbers.
2 Write money amounts in words and numbers.
3 Round money values to nearest dollar and dime.
3 Round money values to nearest dollar and dime.
4 Add and subtract money.
4 Add and subtract money.
5 Find sums and differences with money.
5 Find sums and differences with money.
6 Write numbers in word form and in standard notation.
6 Write numbers in word form and in standard notation.
7 Order numbers.
7 Order numbers.
8 Round decimals.
8 Round decimals.
9 Compute with decimals and whole numbers.
9 Compute with decimals and whole numbers.
10 Express fractions as decimals.
10 Express fractions as decimals.
11 Express numbers in scientific notation.
11 Express numbers in scientific notation.
P
Percentages
Standards
Standard 1 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations and translate between two forms.
Evaluate sequence formulas
Write formulas
Convert between forms
Standard 1 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations and translate between two forms.
Evaluate sequence formulas
Write formulas
Convert between forms
Competency Goals
1 Rename a percent as a decimal and a fraction in simplest form.
1 Rename a percent as a decimal and a fraction in simplest form.
2 Rename a decimal and a fraction as a percent.
2 Rename a decimal and a fraction as a percent.
3 Find the missing terms in a percent sentence.
3 Find the missing terms in a percent sentence.
4 Use a proportion to find the missing term in a percent sentence.
4 Use a proportion to find the missing term in a percent sentence.
5 Solve work problems involving percentages and tax, commissions, interest, and tips.
5 Solve work problems involving percentages and tax, commissions, interest, and tips.
6 Calculate monthly payments on an installment plan.
6 Calculate monthly payments on an installment plan.
M
Measurement - Time, Temperature, Linear Metric and Traditional Measurement
Standards
Standard 1 Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.
Customary and metric units
Word problems
Standard 1 Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.
Customary and metric units
Word problems
Standard 2 Label and define appropriate quantities in descriptive modeling contexts.
Standard 2 Label and define appropriate quantities in descriptive modeling contexts.
Standard 3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.
Precision
Greatest possible error
Percent error
Standard 3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.
Precision
Greatest possible error
Percent error
Competency Goals
1 Identify vocabulary associated w/ time (i.e., noon, midnight, daylight savings time, am, and pm).
1 Identify vocabulary associated w/ time (i.e., noon, midnight, daylight savings time, am, and pm).
2 Tell and record time using digital and analog clocks.
2 Tell and record time using digital and analog clocks.
3 Recognize and read times given using analog and digital clocks.
3 Recognize and read times given using analog and digital clocks.
4 Write time using numerical notations
4 Write time using numerical notations
5 Identify units of time (hr. = 60 min.; 24 hrs. = 1 day; 12 months = 1 yr.; 7 days = 1 wk.; 52 wks. = 1 yr.).
5 Identify units of time (hr. = 60 min.; 24 hrs. = 1 day; 12 months = 1 yr.; 7 days = 1 wk.; 52 wks. = 1 yr.).
6 Locate day, date, and month on calendar.
6 Locate day, date, and month on calendar.
7 Identify abbreviations for units of time (i.e., day, week, month, hour, minute, and year).
7 Identify abbreviations for units of time (i.e., day, week, month, hour, minute, and year).
8 Relate daily, weekly, and monthly events to clock and calendar.
8 Relate daily, weekly, and monthly events to clock and calendar.
9 Select and use appropriate units of measurement (e.g., linear and temperature).
9 Select and use appropriate units of measurement (e.g., linear and temperature).
10 Select and use appropriate tools for measurement.
10 Select and use appropriate tools for measurement.
11 Solve 1- and 2-step math applications involving 4 basic arithmetic processes (measurements, money, time, and temperature), using problem-solving techniques.
Measurement
Money
Time and distance
11 Solve 1- and 2-step math applications involving 4 basic arithmetic processes (measurements, money, time, and temperature), using problem-solving techniques.
Measurement
Money
Time and distance
12 Measure line segments to the nearest tenth of a centimeter (nearest millimeter).
12 Measure line segments to the nearest tenth of a centimeter (nearest millimeter).
13 Estimate accurately the best unit for measuring a distance.
13 Estimate accurately the best unit for measuring a distance.
14 Change from one metric unit to another.
14 Change from one metric unit to another.
15 Find area measured in square units.
15 Find area measured in square units.
16 Find volume measured in cubic units.
16 Find volume measured in cubic units.
17 Find volume, or capacity, measured in liters.
17 Find volume, or capacity, measured in liters.
18 Convert units of liquid capacity.
18 Convert units of liquid capacity.
19 Convert units of weight.
19 Convert units of weight.
20 Use a ruler to help measure line segments.
20 Use a ruler to help measure line segments.
21 Convert units of length and distance.
21 Convert units of length and distance.
22 Find the perimeter of a given shape.
22 Find the perimeter of a given shape.
23 Calculate the area within a shape.
Rectangles and squares
Irregular shapes
Triangles
Parallelograms and trapezoids
23 Calculate the area within a shape.
Rectangles and squares
Irregular shapes
Triangles
Parallelograms and trapezoids
24 Compute the volume within a prism.
24 Compute the volume within a prism.
F
Fractions
Standards
Standard 1 Rewrite expressions involving simple radicals and rational exponents in different forms.
Rational exponents
Radical expressions
Convert between forms
  • •
    Coming soon: Convert between rational exponents and radicals
Standard 1 Rewrite expressions involving simple radicals and rational exponents in different forms.
Rational exponents
Radical expressions
Convert between forms
  • •
    Coming soon: Convert between rational exponents and radicals
Standard 2 Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.
Radical equations
Rational equations
Standard 2 Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.
Radical equations
Rational equations
Competency Goals
1 Recognize fractional parts and equivalent fractions.
1 Recognize fractional parts and equivalent fractions.
2 Compare and order fractions.
2 Compare and order fractions.
3 Add and subtract fractions with like denominators.
3 Add and subtract fractions with like denominators.
4 Multiply and divide fractions.
Multiply fractions
Divide with fractions
4 Multiply and divide fractions.
Multiply fractions
Divide with fractions
5 Simplify fractions.
5 Simplify fractions.
6 Compare fractions, and determine which is more than or less than.
6 Compare fractions, and determine which is more than or less than.
7 Rename mixed numbers and improper fractions.
7 Rename mixed numbers and improper fractions.
8 Compute with fractions and mixed numbers.
Addition and subtraction
Multiplication
8 Compute with fractions and mixed numbers.
Addition and subtraction
Multiplication