  # Number Sense and Operations

 Below Basic (30-61) Basic (62-94) Proficient (95-127) Advanced (128-150) Provided supports such as assistive technology, adaptations, and/or modifications, and a skill reduced in complexity (cognitive demand) and difficulty (breadth of knowledge), the student demonstrates inaccurate or minimal knowledge of math content in the following: Number Sense and Operations • Identify the numerals in fractions , decimals and mixed numbers • Identify the numerals in prime or composite numbers • Identify the numerals and/or mathematical symbols for addition , subtraction, multiplication, and division problems with whole numbers, mixed numbers, fractions, decimals, or percentages (+, -, %, =, ., /, etc.). • Estimate to solve problems involving fractions, mixed numbers, decimal or percentages. Patterns, Relations and Algebra • Disaggregate shapes (e.g., Blue squares , Red triangles, Yellow circles) into a simple linear graph • Locate information on graphs • Locate information on graphs that represent the relationship between variables Measurement • Distinguish between pi and other arithmetic /mathematical symbols • Identify appropriate measures for two- and three-dimensional objects • Understand the concept of volume Provided supports such as assistive technology, adaptations, and/or modifications, and a skill that is reduced in complexity (cognitive demand) and difficulty (breadth of knowledge), the student demonstrates a limited understanding of math content in the following:Number Sense and Operations • Identify fractions, decimals, mixed numbers and/or percentages • Identify prime or composite numbers • Solve addition, subtraction, multiplication, and division problems with whole numbers, decimals, or percentages. • Identify exponents Patterns, Relations and Algebra • Locate information on graphs • Locate information on graphs that represent the relationship between variables • Interpret graphs that represent the relationship between variables Measurement • identify pi • Identify, measure describe, classify, or construct various two-dimensional polygons and measure angles • Identify proportional problems and measurement conversion • Understand the concept of volume Provided supports such as assistive technology, adaptations, and/or modifications, and a skill that may be reduced in complexity (cognitive demand) and/or difficulty (breadth of knowledge), the student demonstrates an observable understanding of math content in the following:Number Sense and Operations • Recognize common equivalent fractions, mixed numbers, decimals, and percentages. • Identify prime or composite numbers, factorization, greatest and least common multiples, or divisibility rules • Solve addition, subtraction, multiplication, and division problems with whole numbers, mixed numbers, fractions, decimals, or percentages. • Identify laws of exponents • Identify prime factorization • Add, subtract, multiply, divide and simplify fractions • Identify percentages • Estimate to solve problems involving fractions, mixed numbers, decimal or percentages. Patterns, Relations and Algebra • Identify a linear or proportional relationship • Create and interpret graphs that represent the relationship between variables • Solve equations given x as a variable • Apply order of operations to solve problems Measurement • Identify pi and match to 3.12… • Understand how to find area and perimeter of complex shapes • Find and understand the areas of triangles and parallelograms • Identify formulas to determine volume or surface area • Understand and apply volume formulas Provided supports such as assistive technology, adaptations, and/or modifications, and a skill that may be reduced in difficulty (breadth of knowledge), the student demonstrates an observable understanding and application of math content in the following:Number Sense and Operations • Recognize and understand common equivalent fractions , mixed numbers, decimals and/or percentages. • Use prime or composite numbers, factorization, greatest and least common multiples, or divisibility rules to solve problems. • Select the operation and solve addition, subtraction, multiplication, and division problems with whole numbers, mixed numbers, fractions, decimals, or percentages. • Use laws of exponents to solve problems • Use prime factorization to add and subtract unlike fractions • Estimate to solve problems involving fractions, mixed numbers, decimal or percentages. Patterns, Relations and Algebra • Understand when information suggests a linear or proportional relationship • Simplify and solve equations given x • Understand that adding or subtracting the same number to both sides creates a new equation • Understand that multiplying or dividing both sides by the same nonzero number creates a new equation • Add or subtract the same number to both sides • Multiply or divide both sides by the same nonzero number • Apply order of operations to solve problems Measurement • Use pi to solve problems • Use formulas to find volume or surface area • Use appropriate measures for two- and three-dimensional objects • Find the area or perimeter of complex shapes • Find the area of triangles and parallelograms • Solve proportional problems • Solve measurement conversion
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