Roxbury Public Schools
Department of Curriculum and Instruction

Roxbury Public Schools Curriculum
Mathematics

Kindergarten

 ·         Demonstrate the ability to sort, count and classify objects

·         Count by ones to 50

·         Indicate the relative position of objects

·         Recognize and extend a simple pattern

·         Estimate and measure with non-standard units of measurement

·         Demonstrate time awareness; time to the hour and months/days of calendar

·         Join and separate sets using manipulatives to compute with accuracy

·         Demonstrate the ability to transfer knowledge of numerical value from concrete (i.e., manipulative) to the symbolic

Back to Curriculum Page


First Grade

 ·         Understand whole numbers through the hundreds

·         Understand whole number place value

·         Use manipulatives for joining, separating and comparing sets 

·         Recognize numbers through the hundreds

·         Count by multiples of 1s, 2s, 5s and 10s to at least 100

·         Identify ordinal positions

·         Recognize and extend patterns

·         Collect, generate, record and organize data on a graph

·         Add and subtract one digit numbers

·         Have immediate recall of facts to 10

·         Write and solve equations from given or student-generated story problems

·         State the time to the hour and half hour

·         Demonstrate ability to use calendar

·         Combine coins to make various amounts of money

·         Apply problem solving strategies

·         Explain mathematical thinking

Back to Curriculum Page


Second Grade

·         Demonstrate knowledge of grouping patterns for counting and by addition and subtraction of up to 3 digit numbers with regrouping

·         Recognize time to the half-hour, quarter-hour and 5 minute intervals

·         Extend an understanding of combinations of money through problem solving

·         Collect, generate, record and organize data on a graph

·        See the relationship between repeated addition and multiplication

·         Demonstrate understanding of the concept of a fraction of a unit or set

·         Use appropriate units of measurement

·         Write and solve equations

·         Explain mathematical thinking

Back to Curriculum Page


Third Grade

·           Recall addition/subtraction facts through 18

·           Read and write place value through six digits

·           Understand addition/subtraction to three digits with and without regrouping

·           Use multiplication and division facts to 9

·           Demonstrate the ability to multiply using two digit numbers by one digit numbers with and without regrouping

·           Identify fractions and decimals to tenth and hundredths

·           Identify and utilize number operations

·           Compare and contrast numbers

·           Apply estimation strategies to add, subtract, multiply and divide

·           Tell time and count money

·           Use the concept of probability to identify games as fair or unfair

·           Identify, compare and recognize shapes, lines and points

·         Use appropriate units of measurement

·         Recognize and apply a variety of problem-solving strategies (i.e. – mental math, calculators, manipulative, pencil and papers and computers)

·         Collect, record and interpret graphing data

·         Explain mathematical thinking

Back to Curriculum Page


Fourth Grade

·         Read, write and identify whole numbers in the millions

·         Compare and order whole numbers and decimals to hundredths

·         Round whole numbers through the millions

·         Perform addition and subtraction with multi-digit numbers

·         Use multiplication facts through the 12 times table

·         Demonstrate an understanding and ability to multiply and divide multi-digit numbers

·         Demonstrate an understanding of average, mean, mode and median

·         Explain terminology related to fractions

·         Add and subtract fractions and mixed numbers finding the lowest terms

·         Interpret and use math symbols and variables

·         Identify relationships and names of plane figures, lines and points

·         Compute perimeter, area, and volume

·         Understand elapsed time and telling time

·         Perform basic operations dealing with money and making changes

·         Use the concept of probability to record outcomes

·         Recognize and apply a variety of problem-solving strategies (i.e. – mental math, calculators, manipulative, pencil and papers and computers)

·         Collect, record and interpret graphing data

·         Explain mathematical thinking

Back to Curriculum Page


Fifth Grade

·          Use real life experiences, physical materials, and technology to construct meanings for all whole numbers, decimals, and fractions

·          Use whole numbers, fractions and decimals to represent equivalent forms of the same numbers

·          Develop and apply number theory concepts in problem solving situations (primes, factors, multiples)

·          Construct, use, and explain procedures for performing addition and subtraction with fractions and decimals

·          Demonstrate an understanding and ability to divide 3-digit numbers by a 2-digit number

·          Use a variety of estimation strategies for both number and computation

·          Understand and apply concepts involving lines and angles

·          Identify, describe, compare, and classify polygons

·          Select and use appropriate units to measure angles and area

·          Know equivalent measurement units within a system (metric or standard)

·          Develop and apply strategies and formulas for finding perimeter and area

·          Recognize, describe, extend, and create patterns involving whole numbers

·          Describe arithmetic operations as functions

·          Use number sentences to model situations

·          Collect, generate, organize, read and interpret displays of data

·          Determine probability using intuitive, experimental and theoretical methods

·          Learn mathematics through problem solving, inquiry, and discovery

·          Use computer-based laboratory technology for mathematical applications

 

 

Back to Curriculum Page


Sixth Grade

·          Use real life experiences, physical materials, and technology to construct meanings for all whole numbers, decimals, fractions, and integers

·          Explore the use of ratios and proportions

·          Develop and apply number theory concepts in problem solving situations (primes, factors, multiples, common multiples and factors

·          Find squares and cubes of numbers

·          Understand & apply the standard algebraic order of operations for the four basic operations, including use of parentheses

·          Use a variety of estimation strategies and determine the reasonableness and whether it is an over or underestimate

·          Identify, describe, compare, and classify polygons & circles

·          Compare properties of cylinders, prisms, cones, pyramids and spheres

·          Identify a 3-D shape with given projections or with a given net

·          Know approximate equivalents between the standard and metric systems

·          Develop & apply strategies and formulas for finding surface area, and volume or rectangular prisms, and cylinders and circumference and area of a circle

·          Recognize, describe, extend and create patterns involving whole numbers and rational numbers including formal iterative formulas and recursive patterns

·          Describe the general behavior of functions

·          Solve simple equations with variables on one or both sides of an equation

·          Collect, generate, organize, read and interpret displays of data

·          Determine probability using intuitive, experimental and theoretical methods

·          Learn mathematics through problem solving, inquiry, and discovery

·          Use technology to gather, analyze and communicate mathematical information

 

Back to Curriculum Page


Seventh Grade

  •  Understand and use ratios, proportions, and percents in   a variety of situations.
     

  • Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.
     

  • Understand and apply properties of polygons.
     

  • ·Use logic and reasoning to make and support conjectures about geometric objects.
     

  • Select and use appropriate units and tools to measure quantities to the degree of precision needed in a particular problem-solving situation.
     

  • Develop and apply strategies for finding perimeter and area
     

  • Use coordinates in four quadrants to represent geometric concepts.
     

  • Use approximate equivalents between standard and  metric systems to estimate measurements.
     

  • Develop and apply strategies and formulas for finding the surface area and volume of a three-dimensional figure.
     

  • Recognize, describe, extend, and create patterns involving whole numbers, rationale numbers, and integers.
     

  • Use patterns, relations, symbolic algebra, and linear functions to model situations.
     

  • Select and use appropriate representations for sets of data and measures of central tendency.
     

  • Interpret probabilities as rations, percents, and   decimals.
     

  • Apply the multiplication principal of counting.
     

  • Use vertex-edge graphs to represent and find solutions to practical problems.
     

  • Use Venn Diagrams to organize information and solve problems.
     

  • Emphasize on using the mathematical process in problem solving.

Back to Curriculum Page


Eighth Grade

  • Understand and use ratios, proportions, and percents in  a variety of situations.
     

  • Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.
     

  • Understand and apply properties of polygons.
     

  • Use logic and reasoning to make and support conjectures about geometric objects.
     

  • Select and use appropriate units and tools to measure quantities to the degree of precision needed in a particular problem-solving situation.
     

  • Develop and apply strategies for finding perimeter and area
     

  • Use coordinates in four quadrants to represent geometric concepts.
     

  • Use approximate equivalents between standard and  metric systems to estimate measurements.
     

  •  Develop and apply strategies and formulas for finding the surface area and volume of a three-dimensional figure.
     

  • Recognize, describe, extend, and create patterns involving whole numbers, rationale numbers, and  integers.
     

  • Use patterns, relations, symbolic algebra, and linear functions to model situations.
     

  • Select and use appropriate representations for sets of data and measures of central tendency.
     

  • interpret probabilities as rations, percents, and   decimals.
     

  • Apply the multiplication principal of counting.
     

  • Use vertex-edge graphs to represent and find solutions to practical problems.
     

  • Use Venn Diagrams to organize information and solve problems.
     

  • Emphasis on using the mathematical process in problem solving.

Back to Curriculum Page

Curriculum Home
 
District Overview 
 
Essential Learnings
 
Curriculum
 
Resources
 
Extra Curricular  Accomplishments S.H.A.R.E. Calendar Supervisors