Roxbury Public Schools
Department of Curriculum and Instruction
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Roxbury
Public Schools Curriculum
Mathematics
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· 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 |
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· 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 |
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· 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 |
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· 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 |
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· 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 |
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· 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
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· 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 |
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