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Fifth grade students are encouraged to prepare for the
more self-directed, independent environment of middle school. By the end of
fifth grade, students increase their use of the four basic arithmetic
operations as they are applied to numerical situations. They know and use
common measuring units, solve problems involving length, area, and volume.
Students know the concept of angle measurement and use specific tools of
mathematics in solving problems. They use grids, tables, graphs, and charts
to record and analyze data.
CONTENT STANDARD 1
1. Number Sense and Operations
Students will:
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Understand the relationships between numbers and
quantities
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Understand and describe simple addition and subtraction
situations
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Use estimation strategies in computation and problem
solving
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Understand the use of numbers up to 100
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Demonstrate the meaning of addition and subtraction and use the inverse
relationship of addition and subtraction to solve problems
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Make reasonable estimates when comparing numbers
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Understand the relationship among whole numbers up to 1000
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Calculate and solve problems using addition and subtraction
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Model and solve simple problems involving multiplication and division
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Understand that fractions, sets, and subsets refer to parts of a whole
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Model and solve problems by representing, adding and subtracting amounts
of money
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Use estimation strategies in computation and problem solving that
involve numbers that use ones, tens, hundreds and thousands places
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Understand the place value of whole numbers
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Calculate and solve problems that involve addition, subtraction,
multiplication, and division
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Understand the relationship between whole numbers, simple fractions, and
decimals
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Understand the place value of whole numbers and decimals, how these
relate to addition of simple fractions and decimals, and use the concepts of
negative numbers
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Solve problems involving addition, subtraction, multiplication, and
division of whole numbers, including the addition and subtraction of
negative numbers, and understand the relationship among numbers
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Compute with very large and very small numbers, negative and positive
numbers, decimals and fractions and understand the relationship between
fractions, decimals, and percents
Performance Indicators
1.5.1 Develop and apply strategies for mental computation. 1.5.2 Estimate the sums and differences of two numbers up to 6-digits. 1.5.3 Estimate the sums and differences of two decimal numbers
(hundredths) 1.5.4 Divide 3-digit numerals by 2 and 3-digit numerals (remainder/no
remainder). 1.5.5 Divide 4-digit numerals by 2 and 3-digit numerals (remainder/no
remainder). 1.5.6 Identify, read and write mixed numerals and fractions 1.5.7 Multiply two fractions. 1.5.8 Determine the least common multiples of two numbers up to 2-digit
numbers (less than 90). 1.5.9 Subtract fractions from whole numbers. 1.5.10 Verify equivalent ratios. 1.5.11 Estimate, compare and interpret decimal values. 1.5.12 Identify, read and write percentages. 1.5.13 Make conversions between numbers (decimals to mixed
numerals and ratios to percents and vice versa). 1.5.14 Identify, read and write (standard form and expanded notation) and
compare decimals up to the thousandths place. 1.5.15 Add and subtract mixed decimals to thousandths. 1.5.16 Multiply whole numbers by decimals to the thousandths. 1.5.17 Interpret the 24 hour clock. 1.5.18 Recognize and discuss the different time zones. 1.5.19 Solve multi-step problems using a calculator.
CONTENT STANDARD 2 2. Measurement and Geometry Students will:
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Identify common geometric objects and explore properties such as length,
weight, capacity
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Describe, draw and compare the attributes of plane and solid geometric
figures and classify them by common attributes and describe their relative
location and use their understanding to show relationships and solve
problems
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Students explore the concept of time
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Use direct comparison and non-standard units to describe the
measurements of objects
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Understand that measurement is accomplished by identifying a unit of
measure and comparing it to the item to be measured
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Identify and describe the elements that compose common figures in the
plane and common objects in space
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Choose appropriate units and measurement tools to quantify the
properties of objects
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Understand perimeter, area, and volume of objects and measure in English
and Metric units
Performance Indicators
2.5.1 Measure and interpret metric units to millimeters, centimeters,
decimeters, meters and kilometers. 2.5.2 Recognize and measure weights in metric units of milligrams, grams,
and kilograms. 2.5.3 Measure volumes in metric units of millimeters, liters, kilometers. 2.5.4 Define and determine right, acute and obtuse angles. 2.5.5 Define and determine parts of a sphere, radius, diameter, center
and circumference. 2.5.6 Classify by two or more attributes. 2.5.7 Develop patterns by attributes. 2.5.8 Relate radius and diameter.
CONTENT STANDARD 3 3. Algebra Students will:
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Sort and classify objects
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Use number sentences to solve problems
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Model, represent, and interpret number relationships to create and solve
problems involving addition and subtraction
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Select appropriate symbols, operations and properties to represent,
describe, simplify, and solve problems involving number relationships
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Use and interpret variables, mathematical symbols and properties to
write and simplify expressions and equations, compute the value or values of
a specific variable, and plot and interpret the results
Performance Indicators
3.5.1 Determine and generate patterns of numbers. 3.5.2 Differentiate and apply the distributive property.
CONTENT STANDARD 4 4. Probability and Statistics Students will:
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Collect information about objects and events in the environment
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Organize, represent, compare, and interpret categorical data on simple
graphs and charts and communicate their findings
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Collect, record, organize, display, and interpret numerical data on bar
graphs, and other representations
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Display, analyze, compare and interpret different data sets, including
data sets that are not the same size
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Demonstrate an understanding of patterns and how they grow, and describe
them in general ways
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Conduct simple probability experiments by determining the number of
possible outcomes, and make simple predictions
Performance Indicators
4.5.1 Collect, summarize, analyze data. 4.5.2 Create and interpret bar, line, and circle graphs. 4.5.3 Interpret map reading, scale in miles. 4.5.4 Interpret map reading, scale in kilometers.
CONTENT STANDARD 5 5. Problem Solving and Reasoning Students will:
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Make decisions about how to set up a problem, justify their reasoning,
and make connections between problems
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Use strategies, skills and concepts to make decisions about how to
approach problems, find solutions, and make generalizations to other
situations
Performance Indicators
5.5.1 Formulate and write strategies from facts and pictures. 5.5.2 Apply and interpret the processes of visual and logical thinking. 5.5.3 Organize and interpret data. 5.5.4 Determine if information is too much or too little. 5.5.5 Determine and justify correct operation(s) to solve the problem. 5.5.6 Generate alternate solution to the same problem. 5.5.7 Create and solve problems. 5.5.8 Formulate and apply strategies for mental computation.
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