RCPS Math Curriculum - Grade 5

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Fifth Grade Math Benchmarks

*These Benchmarks were revised in September 2011. References are to the 2009 SOL.

A Guide for Parent Involvement

Note:  Chapters referenced are from the adopted text, Scott Foresman: Mathematics

1st Nine Weeks

Chapter 1: Place Value, Adding, and Subtracting*
Related SOLs:

5.1         The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.

5.4         The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.



Chapter 2: Multiplying Whole Numbers and Decimals*

Related SOLs:

5.1         The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.

5.2         The student will

a)   recognize and name fractions in their equivalent decimal form and vice versa; and

b)   compare and order fractions and decimals in a given set from least to greatest and greatest to least.


5.4         The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

5.5         The student will

a)   find the sum, difference, product, and quotient of two numbers expressed as decimals through thousandths (divisors with only one nonzero digit); and

b)   create and solve single-step and multistep practical problems involving decimals.

5.17         The student will describe the relationship found in a number pattern and express the relationship.

5.18         The student will

a)   investigate and describe the concept of variable;

b)   write an open sentence to represent a given mathematical relationship, using a variable;

c)   model one-step linear equations in one variable, using addition and subtraction; and

d)   create a problem situation based on a given open sentence, using a single variable.

5.19         The student will investigate and recognize the distributive property of multiplication over addition.
 


Chapter 3: Dividing with One-Digit Divisors*
Related SOLs:

5.3         The student will

a)   identify and describe the characteristics of prime and composite numbers; and

b)   identify and describe the characteristics of even and odd numbers.

5.4         The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

5.7         The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division.


 

2nd Nine Weeks

Chapter 4: Dividing With Two-Digit Divisors *
Related SOLs:

5.4         The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

5.7         The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division.



Chapter 5: Data, Graphs, and Probability*
Related SOLs:

5.14         The student will make predictions and determine the probability of an outcome by constructing a sample space.

5.15         The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphs.

5.16         The student will

a)   describe mean, median, and mode as measures of center;

b)   describe mean as fair share;

c)   find the mean, median, mode, and range of a set of data; and

d)   describe the range of a set of data as a measure of variation.



Chapter 6: Geometry*
Related SOLs:

5.12         The student will classify

a)   angles as right, acute, obtuse, or straight; and

b)   triangles as right, acute, obtuse, equilateral, scalene, or isosceles.

5.13         The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will

a)   develop definitions of these plane figures; and

b)   investigate and describe the results of combining and subdividing plane figures.


3rd Nine Weeks

Chapter 7: Fraction Concepts*
Related SOLs:

5.2         The student will

a)   recognize and name fractions in their equivalent decimal form and vice versa; and

b)   compare and order fractions and decimals in a given set from least to greatest and greatest to least.

 


Chapter 8: Fraction Operations*
Related SOLs:

5.6         The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers and express answers in simplest form.


Chapter 9: Measurement*
Related SOLs:

5.8         The student will

a)   find perimeter, area, and volume in standard units of measure;

b)   differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation;

c)   identify equivalent measurements within the metric system;

d)   estimate and then measure to solve problems, using U.S. Customary and metric units; and

e)   choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric units.

5.9         The student will identify and describe the diameter, radius, chord, and circumference of a circle.

5.10         The student will determine an amount of elapsed time in hours and minutes within a 24-hour period.

5.11         The student will measure right, acute, obtuse, and straight angles.

 

4th Nine Weeks

Chapter 10: Measuring Solids*
Related SOLs:

5.8         The student will

a)   find perimeter, area, and volume in standard units of measure;

b)   differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation;

c)   identify equivalent measurements within the metric system;

d)   estimate and then measure to solve problems, using U.S. Customary and metric units; and

e)   choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric unit


Chapter 12: Algebra:  Integers, Equations, and Graphing
Related SOLs:
 
5.17         The student will describe the relationship found in a number pattern and express the relationship.

5.18         The student will

a)   investigate and describe the concept of variable;

b)   write an open sentence to represent a given mathematical relationship, using a variable;

c)   model one-step linear equations in one variable, using addition and subtraction; and

d)   create a problem situation based on a given open sentence, using a single variable.

5.19         The student will investigate and recognize the distributive property of multiplication over addition.


 
 
 
 

*Certain skills and concepts from these topics are taught throughout the year.