Lower School Curriculum (PK-5)


Pre-Kindergarten (3 years old)
  • Develop number sense, spatial sense, and sense of time by following daily schedules
  • Participate in calendar activities and multi-modal activities including play
  • Identify, extend, and create patterns
  • Sort, classify and compare objects by one attribute, similarities or differences
  • Measure with non-standard units
  • Begin to use positional words in conversation and play (e.g. behind, between, etc.)
  • Use blocks as non-standard units of measurement to measure lengths (carpet, tables, etc.)
  • Count to 10 and identify numerals 0-10
  • Accurately determine how many objects are in a group of 5 or less
  • Begin writing scribbles/forms for numbers
Pre-Kindergarten (4 years old)
  • Demonstrate knowledge of number names, one-to-one correspondence, sequencing while counting and the relationships among written numerals
  • Use objects to understand addition - putting together and adding to
  • Use objects to understand subtraction - taking apart and taking from
  • Sort and classify objects according to their attributes, then compare groups using comparison vocabulary
  • Measure, compare, order and describe objects by a measurable attribute
  • Match, identify, describe and combine two-dimensional and three-dimensional shapes
  • Explore numbers, counting (including skip-counting) and place value in numbers to 100 
  • Develop skills in identification and comparison of patterns, measurement, data collection and analysis
  • Learn coin identification
  • Build an understanding of part to whole relationships and learn to use (+, -, and =) symbols
  • Identify, describe and sort two-dimensional and three-dimensional shapes
  • Solve story problems using pictures, symbols and manipulatives
First Grade 
  • Understand numbers and place value in base 10
  • Perform basic static addition and subtraction
  • Identify, compose and distinguish between defining attributes of two-dimensional and three-dimensional shapes
  • Identify geometric solids
  • Solve word problems that require the use of basic addition and subtraction
  • Collect, classify and interpret data based on given attributes
  • Understand length, linear units and measuring with standard units and inches
  • Construct, describe and extend repeating patterns or number sequences
  • Identify the unit or rule of a repeating pattern or number sequence
  • Tell time to the hour and half hour using analog and digital clocks
  • Understand the concept of written fractions and illustrated fractions
  • Identify and count US coins and dollars
Second Grade 
  • Use US standard and metric to acquire a deeper knowledge of number composition
  • Identify two-dimensional and three-dimensional shapes and their attributes
  • Sort, classify and represent data using graphs
  • Understand place value up to 1,000 and recognize relationships between numbers
  • Solve addition and subtraction problems using multiple strategies
  • Understand that multiplication is repeated addition
  • Understand basic fractions as parts and wholes
  • Read digital and analog clocks and solve elapsed time problems
  • Count coins accurately and make change from $1.00 
  • Solve mathematical problems and explain strategies used
Third Grade 
  • Understand place value up to 10,000
  • Add and subtract with appropriate fluency
  • Understand the meaning of multiplication and division
  • Work on fluency with multiplication facts
  • Understand fractions and decimals as part of a whole
  • Compare and order fractions as well as identify equivalent fractions, mixed numbers and improper fractions
  • Use tables and graphs to describe and display categorical and quantitative data
  • Describe changes in data
  • Build on two-dimensional and three-dimensional geometry vocabulary by learning about angles (right, obtuse, acute), lines (parallel, perpendicular, intersecting) and specific shapes (polyhedral, prisms, pyramids and non-polyhedral) 
  • Develop an understanding of area, perimeter and volume
Fourth Grade 
  • Use the four operations with whole numbers to solve problems
  • Demonstrate fluency with addition, subtraction, multiplication and division facts
  • Gain familiarity with factors and multiples
  • Generate and analyze patterns
  • Understand place value for multi-digit whole numbers
  • Perform multi-digit arithmetic
  • Extend understanding of fraction equivalence and ordering
  • Add and subtract fractions with like denominators
  • Understand decimal notation for fractions
  • Represent and interpret data
  • Understand concepts of angles and measure angles
  • Draw and identify lines and angles and classify shapes by properties of their lines and angles
  • Connect and apply math to everyday situations
  • Solve multi-step word problems
  • Explain thinking during oral and written problem-solving activities
Fifth Grade 
  • Write and interpret numerical expressions
  • Analyze patterns and relationships
  • Understand the place value system
  • Perform operations with multi-digit whole numbers and with decimals to hundredths
  • Identify and represent fractions 
  • Find equivalent fractions
  • Understand and convert mixed numbers to improper fractions and vice versa
  • Represent and compare decimals
  • Convert between fractions, decimals and percents
  • Convert like measurement units within a given measurement system
  • Represent and interpret data
  • Describe and predict the likelihood of events and compare theoretical probabilities with actual outcomes of many trials to develop an understanding of probability
  • Understand concepts of volume and relate volume to multiplication and addition
  • Find the measure of angles of polygons
  • Determine the volume of three-dimensional shapes
  • Work with area and perimeter 
  • Examine the characteristics of polygons
  • Make sense of problems, persevere in solving them and explain (orally and in writing) problem-solving strategies used
  • Reason abstractly, quantitatively and creatively
  • Use appropriate tools strategically
  • Attend to precision

Andrews Osborne Academy

Grades PK - 12, PG
PHONE (440) 942-3600
AX (440) 942-3660
Located In Willoughby, OH, Andrews Osborne Academy is a Private Co-ed Day & Boarding College Preparatory School For Grades PK - 12, PG. Students benefit from a challenging academic program, fine and performing arts, competitive athletics, and a wide selection of extracurricular activities.