Math

Preschool Math

  • Begin to use problem solving

Number Sense

  • Count to 10
  • Begin to recognize written numerals 0-10
  • Begin to write numerals
  • Demonstrate one to one correspondence
  • Begin to recognize the use of ordinal numbers

Operations

  • Begin to demonstrate addition and subtraction

Geometry

  • Recognize shapes
  • Show parts and whole

Measurement

  • Compare and contrast size
  • Use measuring devices
  • Begin to interpret calendar concepts
  • Begin to name days and months
  • Recognize money

Data Analysis

  • Begin to sort by attributes
  • Recognize patterns

Prekindergarten Math

  • Use problem solving

Number Sense

  • Count to 20
  • Begin to count by 10s to 100
  • Recognize written numerals 0-10
  • Begin to recognize written numerals 11-20
  • Write numerals 0-10
  • Demonstrate one to one correspondence
  • Compare numbers
  • Demonstrate the use of ordinal numbers

Operations

  • Begin to demonstrate addition and subtraction
  • Begin to estimate

Geometry

  • Recognize, identify, and create shapes
  • Show parts and whole

Measurement

  • Compare and contrast size
  • Use measuring devices
  • Begin to interpret calendar concepts
  • Begin to name days and months
  • Identify the function of a clock
  • Recognize money
  • Begin to name coins

Data Analysis

  • Sort by and identify attributes
  • Identify and create patterns

Kindergarten Math

  • Use problem solving and logic
  • Recognize symbols
  • Begin to use appropriate vocabulary

Number Sense

  • Count to 100
  • Count by 10s to 100
  • Begin to count by 2s and 5s
  • Identify even and odd numbers
  • Recognize written numerals 0-20
  • Write numerals 0-20
  • Demonstrate one to one correspondence
  • Begin to recognize place value
  • Describe number relationships (before, after, between, greater than, less than, and equal to)
  • Demonstrate the use of ordinal numbers

Operations

  • Demonstrate addition using concrete and abstract methods
  • Begin to demonstrate subtraction using concrete and abstract methods
  • Begin to estimate

Geometry

  • Identify and create shapes
  • Show parts and whole

Measurement

  • Recognize ways to measure an object
  • Use measuring devices
  • Determine dimension using nonstandard units
  • Interpret calendar concepts
  • Name days and months in the correct order
  • Tell time to the hour
  • Name coins
  • Begin to recognize values of individual coins
  • Determine the value of a group of pennies

Data Analysis

  • Gather, organize, display, and interpret data on graphs and charts
  • Identify and sort by attributes
  • Identify, create, and extend patterns

First Grade Math

  • Use problem solving and logic
  • Use appropriate symbols and vocabulary

Number Sense

  • Count by 2s, 5s, 10s, and 100s
  • Identify even and odd numbers
  • Recognize and write numerals 0-100
  • Identify place value
  • Describe number relationships
  • Compare numbers using >, <, and =
  • Identify and use ordinal numbers

Operations

  • Demonstrate addition and subtraction using concrete and abstract methods
  • Begin to solve double-digit addition equations, without regrouping
  • Memorize addition and subtraction facts (+0, -0, +1, -1, +2, -2 and doubles)
  • Solve and create math word problems
  • Estimate

Geometry

  • Identify, manipulate, and create two- and three-dimensional shapes
  • Identify and demonstrate symmetry
  • Recognize, demonstrate, and write 1/2, 1/3, and 1/4

Measurement

  • Recognize ways to measure an object
  • Determine dimension using nonstandard units, inches, and centimeters
  • Interpret calendar concepts
  • Name days and months in correct order
  • Tell time to the hour and half hour
  • Name and recognize the values of coins
  • Determine and write the value of a group of like coins
  • Determine and write the value of simple coin combinations

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend patterns

Second Grade Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Use appropriate symbols and vocabulary

Number Sense

  • Count by 2s, 5s, 10s, 25s, and 100s
  • Recognize and write numerals 0-100
  • Use numbers and number words to represent quantities
  • Identify place value and represent ones, tens, and hundreds
  • Compare and read quantities using >, <, and =
  • Identify and use ordinal numbers

Operations

  • Demonstrate single- and double- digit addition and subtraction, with and without regrouping, using concrete and abstract methods
  • Begin to solve three-digit addition and subtraction
  • Memorize addition and subtraction facts to ten
  • Solve and create math word problems
  • Round and estimate

Algebraic Concepts

  • Solve equations with missing components

Geometry

  • Identify, compare, manipulate, and create two- and three-dimensional shapes
  • Identify and demonstrate symmetry
  • Recognize, demonstrate, and write simple fractions

Measurement

  • Identify units of measurement and use the appropriate tool (time, temperature, area, length, weight, volume, and perimeter)
  • Determine and draw dimension using nonstandard units, inches, and centimeters
  • Determine area and perimeter using concrete objects
  • Interpret calendar concepts
  • Name and recognize the value of coins
  • Determine and write the value of groups of coins
  • Tell time to the hour, half, and quarter hour

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend patterns
  • Explore probability

Third Grade Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Use appropriate symbols and vocabulary

Number Sense

  • Count by 2s, 3s, 5s, 10s, 25s, and 100s
  • Use whole numbers, fractions, and number words to represent quantities
  • Identify place value and represent ones, tens, hundreds, and thousands
  • Compare and read quantities using >, <, and =
  • Recognize, demonstrate, and write fractions

Operations

  • Demonstrate and solve up to four-digit addition and subtraction equations with regrouping
  • Demonstrate multiplication and division using concrete and abstract methods
  • Master and apply addition and subtraction facts to ten
  • Memorize multiplication and division facts
  • Solve and create math word problems
  • Round and estimate

Algebraic Concepts

  • Solve equations with missing components

Geometry

  • Identify, compare, manipulate, and create 2- and 3-dimensional shapes
  • Identify and create geometric properties (parallel, perpendicular, similar, congruent, and symmetrical)

Measurement

  • Identify units of measurement and use the appropriate tool (time, temperature, area, length, weight, volume, and perimeter)
  • Determine and draw dimension using standard units
  • Determine area and perimeter using concrete objects
  • Begin to convert units of measurements
  • Count, compare, and make change using a collection of coins and bills
  • Tell time to the minute
  • Determine and compare elapsed time

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend patterns
  • Explore probability

Fourth Grade Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Explain the use of strategies
  • Use appropriate symbols, formulas, and vocabulary

Number Sense

  • Use whole numbers, decimals, fractions, number words, and Roman numerals to represent quantities
  • Begin to use negative numbers
  • Identify and use place value
  • Use expanded notation
  • Compare and read quantities using >, <, and =
  • Recognize, demonstrate, and write fractions

Operations

  • Demonstrate and solve addition and subtraction of whole numbers, fractions, and decimals
  • Identify and use associative, commutative, identity, and zero properties of addition and multiplication
  • Demonstrate multiplication and division using multiple digits
  • Master and apply multiplication and division facts
  • Solve and create math word problems
  • Begin to determine Greatest Common Factor and Least Common Denominator
  • Round and estimate

Algebraic Concepts

  • Solve equations with missing components
  • Graph positive points on a plane

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Identify and create geometric properties (parallel, perpendicular, similar, congruent, symmetrical, line segment, and vertex)
  • Recognize, name, and compare geometric angles
  • Determine area, perimeter, volume, diameter, and radius using concrete and abstract methods

Measurement

  • Identify units of measurement and use the appropriate tool (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement
  • Apply time concepts
  • Determine and compare elapsed time
  • Count, compare, and make change using a collection of coins and bills

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend number and geometric patterns
  • Explore probability
  • Calculate mean, median, mode, and range

Fifth Grade Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Explain the use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use positive and negative numbers, decimals, fractions, number words, and Roman numerals to represent quantities
  • Identify the relationship between fractions and decimals
  • Identify prime and composite numbers
  • Read and use place value
  • Use expanded notation with exponents
  • Compare and read quantities using >, <, and =

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; and fractions, with like and unlike denominators
  • Identify and use the associative, commutative, distributive, identity, zero, and inverse properties of addition and multiplication
  • Calculate percentage
  • Solve square roots
  • Solve and create math word problems
  • Determine Greatest Common Factor and Least Common Denominator
  • Round
  • Estimate by front-end, place value, high, and low methods

Algebraic Concepts

  • Solve equations with missing components
  • Solve equations using order of operations
  • Graph positive and negative points on a plane and create a function table

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Identify and create geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, and vertex)
  • Recognize, name, compare, and measure geometric angles
  • Determine area, perimeter, volume, diameter, and radius using concrete and abstract methods
  • Calculate circumference

Measurement

  • Identify units of measurement and use the appropriate tool (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement
  • Determine and compare elapsed time

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend number and geometric patterns
  • Determine and calculate probability
  • Calculate mean, median, mode, and range

Sixth Grade Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Explain and justify the use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use positive and negative numbers, decimals, fractions, number words, and Roman numerals to represent quantities
  • Represent numbers in equivalent form (fractions, decimals, and percents)
  • Identify prime and composite numbers
  • Read and use place value
  • Use expanded notation using exponents
  • Compare and read quantities using >, <, and =

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; and fractions, with like and unlike denominators
  • Identify and use associative, commutative, distributive, identity, zero, and inverse properties of addition and multiplication
  • Calculate percentage
  • Solve square roots
  • Solve and create math word problems
  • Determine and apply Greatest Common Factor and Least Common Denominator
  • Round
  • Estimate by front-end, place value, high, and low methods

Algebraic Concepts

  • Solve equations with variables
  • Solve equations using order of operations
  • Graph positive and negative points on a plane and create a function table

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Create, compare and contrast geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, and vertex)
  • Recognize, classify, compare, and measure geometric angles
  • Determine area, perimeter, capacity, diameter, and radius using concrete and abstract methods
  • Calculate circumference

Measurement

  • Identify units of measurement and use the appropriate tool (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement
  • Determine and compare elapsed time

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attribute
  • Identify, create, and extend number and geometric patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio and proportion

Level 1 Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Explain and justify use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use positive and negative numbers, decimals, fractions, number words, and Roman numerals to represent quantities
  • Represent numbers in equivalent form (fractions, decimals, and percents)
  • Identify prime and composite numbers
  • Read and use place value
  • Use expanded notation using exponents
  • Compare and read quantities using greater than, less than, and equal to

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; and fractions, with like and unlike denominators
  • Identify and use associative, commutative, distributive, identity, zero, and inverse properties of addition and multiplication
  • Calculate percentage
  • Solve square roots
  • Solve and create math word problems
  • Determine and apply Greatest Common Factor and Least Common Denominator
  • Round
  • Estimate by front-end, place value, high, and low methods

Algebraic Concepts

  • Solve equations with variables
  • Solve equations using order of operations
  • Graph positive and negative points on a plane and create function table

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Identify geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, and vertex)
  • Recognize, classify, compare, and measure geometric angles
  • Determine area, perimeter, capacity, diameter, and radius using concrete and abstract methods
  • Calculate circumference

Measurement

  • Identify, determine, and use units of measurement (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement
  • Determine and compare elapsed time

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Compare and contrast by attributes
  • Identify, create, and extend number and geometric patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio and proportion

Level 2 Math

  • Use problem solving and logic
  • Determine if an answer is reasonable
  • Explain and justify use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use positive and negative numbers, decimals, fractions, number words, and expanded notation to represent quantities
  • Represent numbers in equivalent form (fractions, decimals, and percents)
  • Read and use place value
  • Compare and read quantities using greater than, less than, and equal to

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; and fractions, with like and unlike denominators
  • Identify and use associative, commutative, distributive, identity, zero, and inverse properties of addition and multiplication
  • Calculate percentage
  • Solve square root
  • Solve and create math word problems
  • Determine and apply Greatest Common Factor and Least Common Denominator
  • Round
  • Estimate by front-end, place value, high, and low methods

Algebraic Concepts

  • Solve equations with variables
  • Solve equations using order of operations
  • Graph positive and negative points on a plane and create a function table
  • Identify slope

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Identify geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, face, edge, and vertex)
  • Recognize, classify, compare, and measure geometric angles
  • Determine perimeter, volume, diameter, surface area, and radius using concrete and abstract methods
  • Calculate circumference
  • Apply the Pythagorean Theory

Measurement

  • Identify, determine, and use units of measurement (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement
  • Determine and compare elapsed time

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Classify and create by attribute
  • Identify, create, and extend number patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio, rates, and proportion

Level 3 Math

  • Use problem solving and logic
  • Explain and justify use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use positive and negative numbers, decimals, fractions, number words, and expanded notation to represent quantities
  • Represent numbers in equivalent form (fractions, decimals, and percents)
  • Read and use place value
  • Compare and read quantities using greater than, less than, and equal to

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; rational and irrational numbers; and fractions, with like and unlike denominators
  • Identify and use associative, commutative, distributive, identity, zero, and inverse properties of addition and multiplication
  • Calculate percentage
  • Solve and calculate square root
  • Solve and create math word problems
  • Estimate by front-end, place value, high, and low methods
  • Round

Algebraic Concepts

  • Solve equations with multiple variables
  • Solve equations using order of operations
  • Graph linear equations on a plane and create a function table
  • Determine slope
  • Use slope intercept form to solve equations

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Identify geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, face, edge, and vertex)
  • Recognize, classify, compare, and measure geometric angles
  • Determine perimeter, volume, diameter, surface area, and radius using concrete and abstract methods
  • Calculate circumference
  • Apply the Pythagorean Theory

Measurement

  • Identify, determine, and use units of measurement (time, temperature, area, length, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Convert units of measurement

Data Analysis

  • Gather, organize, display, and interpret data on graphs, charts, and diagrams
  • Classify and create by attribute
  • Identify, create, and extend number patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio, rates, and proportion

Pre-Algebra

  • Use problem solving and logic
  • Explain and justify use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Number Sense

  • Use integers, variables, decimals, fractions, and scientific notation to represent quantities
  • Represent numbers in equivalent form (fractions, decimals, and percents)

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; rational and irrational numbers; and fractions, with like and unlike denominators
  • Apply the associative, commutative, distributive, identity, zero, and inverse properties to algebraic expressions and equations
  • Calculate percentage
  • Solve and calculate square root
  • Solve and create math word problems

Algebraic Concepts

  • Distinguish between algebraic expressions, equations, and inequalities
  • Solve inequalities
  • Solve equations with multiple variables
  • Solve equations using order of operations
  • Use slope intercept form to solve equations
  • Graph linear and nonlinear equations on a plane and create a function table
  • Graph quadratic equations by factoring
  • Determine absolute value

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Use geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, face, edge, and vertex)
  • Recognize, classify, compare, and measure geometric angles
  • Determine perimeter, volume, diameter, surface area, and radius
  • Determine and apply circumference
  • Apply the Pythagorean Theorem
  • Use tangent, sine, cosine
  • Use transformations and discuss the application to real life

Measurement

  • Identify, determine, and use units of measurement (area, length, distance, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Calculate simple and compound interest

Data Analysis

  • Gather, organize, display, and analyze data on graphs, charts, and diagrams
  • Translate information between graphs, charts, and diagrams
  • Classify and create by attribute
  • Identify, create, and extend number patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio, rates, and proportion

Algebra I

  • Use problem solving and logic
  • Explain and justify use of strategies
  • Use appropriate symbols, formulas, and vocabulary
  • Use a calculator and protractor

Operations

  • Demonstrate and solve addition, subtraction, multiplication, and division of whole numbers; decimals; rational and irrational numbers; and fractions, with like and unlike denominators
  • Apply the associative, commutative, distributive, identity, zero, and inverse properties to algebraic expressions and equations
  • Represent numbers in equivalent form
  • Calculate square root
  • Solve and create math word problems

Algebraic Concepts

  • Use integers, variables, decimals, fractions, and scientific notation to represent quantities
  • Distinguish between algebraic expressions, equations, and inequalities
  • Solve inequalities
  • Solve equations with multiple variables
  • Solve multi-step equations using order of operations
  • Use slope intercept form to solve equations and relate to algebraic expressions
  • Solve and graph quadratic equations by factoring
  • Graph linear and nonlinear equations on a plane and create a function table
  • Determine absolute value
  • Calculate percent and create percent equations
  • Identify and use the properties of exponents
  • Simplify radicals and solve non-quadratic radical expressions

Geometry

  • Identify, compare, define, manipulate, and create two- and three-dimensional shapes
  • Use geometric properties (parallel, perpendicular, similar, congruent, symmetrical, plane, point, ray, line segment, face, edge, and vertex)
  • Use, classify, compare, and measure geometric angles
  • Determine perimeter, volume, diameter, surface area, and radius
  • Determine and apply circumference
  • Apply the Pythagorean Theorem
  • Use tangent, sine, cosine
  • Use transformations and discuss the application to real life

Measurement

  • Calculate units of measurement (area, length, distance, weight, volume, and perimeter), both metric and US customary
  • Determine and draw dimension using standard units
  • Calculate simple and compound interest

Data Analysis

  • Gather, organize, display, and analyze data on graphs, charts, and diagrams
  • Translate information between graphs, charts, and diagrams
  • Classify and create by attribute
  • Identify, create, and extend number patterns
  • Determine and calculate probability
  • Calculate and apply mean, median, mode, and range
  • Use statistics to solve problems
  • Determine and use ratio, rates, and proportion

Comments are closed.