Fifth Grade Math

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FIFTH GRADE MATH
Goal
Students in the fifth grade mathematics program will increase their ability to work the four
operations when applied to whole numbers, fractions, decimals, and negative numbers. Students will
apply patterns, relations, and algebraic thinking to solve a wide variety of problems. They will use
common measuring units to determine length, area, mass, and volume. By the end of fifth grade,
students will use formulas to determine area, perimeter, and volume of basic geometric shapes. In
addition, students will use grids, tables, graphs, and charts to record and analyze data.
While learning mathematics, students should be actively engaged and using concrete
materials. Students should correctly use the concepts, skills, symbols, and vocabulary associated with
mathematics.
Number Sense and Operations
1. The student will compute with whole numbers, fractions, decimals, and percents.
a. Read, write, and compare numbers very large (billions) and very small (thousandths) numbers.
b. Identify and order decimals, fractions, and mixed numbers.
c. Identify equivalent decimals, fractions, and percents.
d. Identify prime and composite numbers through 50.
e. Determine the greatest common factor and the least common multiple of given numbers.
2. The student will solve problems involving addition, subtraction, multiplication, and division of
fractions and decimals.
a. Demonstrate commutative and associative properties of addition and multiplication and the
distributive property of multiplication.
b. Identify, and use, the rules for divisibility.
c. Explain the inverse nature of multiplication and division.
d. Find the least common denominator of fractions with unlike denominators.
e. Add, subtract, and multiply fractions and mixed numbers with like and unlike denominators.
f.
Add, subtract, and multiply with decimals. Divide decimals by whole numbers.
g. Solve multi-step word problems and equations with more than one operation.
Patterns, Relations, and Algebra
1. The student will solve basic equations using variables.
a. Use information taken from a graph or equation to solve problems.
b. Write and evaluate simple algebraic expressions with one variable.
c. Write and solve equations for word problems.
Geometry
1. The student will identify and classify the properties of and relationships between geometric
figures.
a. Compare/contrast and classify geometric figures (e.g. polygons, circles, three-dimensional
shapes) by their attributes.

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