Edison School District

Developing a desire for lifelong learning

By the end of fifth grade students will have increased their knowledge with the four basic arithmetic operations applied to whole numbers, fractions and decimals.  They know and use common measuring units to determine length and area; they can determine the volume of simple     geometric objects.  They explore the concept of angle measurement by   using a protractor.

Number Sense

Þ   Students understand and compute with very large and very small  numbers, positive & negative numbers and the relationship between  decimals, fractions and percentages

Þ   Estimate and round very large and very small numbers

Þ    Find decimal and percent equivalents for common fractions and compute a given percent of a whole number

Þ   Determine the prime factors of all numbers through 51

Þ   Explain the relationships between odd/even, positive/negative, prime/composite, multiple/divisor/ factor, square number/non-square number

Þ   Identify positive and negative   integers, decimals, fractions and mixed numbers on a number line

Þ   Understand and compute positive exponents; compute examples as  repeated multiplication

Þ   Estimate, calculate and solve    problems involving addition ,subtraction and simple multiplication and division of fractions and decimals

 

Þ   Add, subtract, multiply and divide with whole numbers and decimals (both positive and negative numbers) and verify the reasonableness of the answers

Þ   Add, subtract, multiply and divide  fractions and mixed numbers and put    answers in the simplest form

Þ   Estimate answers

Þ   Determine the least common multiple and greatest common divisor of whole numbers

Þ   Uses division proficiently, including division with positive decimals and long division with multiple digit divisors (three place divisors)

Algebra & Functions

Þ   Students solve simple algebraic     equations

Þ   Use information taken from a graph or equation to answer questions about a problem situation

Þ   Model, describe and use the distributive property in equations

Þ   Identify and graph ordered pairs

Measurement & Geometry

Þ   Students compute the concepts of   volume and surface area

Þ   Model and compute the volume of    geometric solids using appropriate units in both metric and customary systems (cubic centimeter, cubic meter, cubic inches, cubic yard)

Þ   Calculate perimeter, area and volume

Þ   Students identify, describe, draw and classify properties of plane and solid    geometric figures

Þ   Estimate, measure, identify and draw angles, perpendicular and parallel lines, rectangles and triangles using tools such as a straight edge, ruler, compass,  protractor and drawing software

Statistics, Data Analysis

& Probability

Þ   Students display, analyze, compare and interpret different data sets

Þ   Know the concepts of mean, median and mode

Þ   Organize and display single-variable data in appropriate graphs

Þ   Use fractions and percentages to  compare data sets of different size

Þ   Identify ordered pairs of data from a graph

 

 

Þ   Know how to write ordered pairs correctly

Problem Solving &

Mathematical Reasoning

Þ   Students make decisions about how to approach problems

Þ   Analyze problems by identifying relationships, discriminating relevant from irrelevant information, sequencing and prioritizing and observing patterns

Þ   Determine when and how to break a problem into simpler parts

Þ   Use strategies, skills and concepts in finding solutions

Þ   Predict and calculate outcomes and use estimation to verify the reasonableness of the answer

Þ   Explain mathematical reasoning in solutions using a variety of ways,  including words, numbers, symbols, pictures, charts, graphs, tables,       diagrams and models

Þ   Express solutions clearly and   logically and support solutions with     evidence

Þ   Make precise calculations and check the validity of the answers from the content of the problem

Þ   Look for patterns in answers

Þ   Make connections between  mathematical solutions, concepts, other school subjects and the real world