Fifth grade math

A. Place value and whole numbers

  1. Identify the value of each digit in a number
  2. Write numbers in standard and expanded form
  3. Write whole numbers in word form
  4. Read and write Roman numerals

B. Addition and subtraction

  1. Estimate sums and differences of whole numbers
  2. Estimate sums and differences in word problems
  3. Add and subtract whole numbers
  4. Add and subtract whole numbers: word problems
  5. Properties of addition and subtraction

C. Powers of ten

  1. Understand powers of ten
  2. Find the value of powers of ten

D. Multiplication

  1. Recognize multiplication patterns with increasing place value
  2. Multiply whole numbers ending with zeros
  3. Multiply whole numbers ending with zeros: word problems
  4. Multiply whole numbers by powers of ten
  5. Estimate products of whole numbers
  6. Estimate products of whole numbers: word problems
  7. Multiply whole numbers by 1-digit numbers
  8. Multiply whole numbers by 1-digit numbers: word problems
  9. Multiply whole numbers by 2-digit numbers
  10. Multiply whole numbers by 2-digit numbers: word problems
  11. Multiply whole numbers by 3-digit numbers

E. Division

  1. Recognize division patterns with increasing place value
  2. Divide numbers ending in zeros
  3. Divide numbers ending in zeros: word problems
  4. Divide whole numbers by 1-digit numbers
  5. Divide whole numbers by 1-digit numbers: word problems
  6. Divide whole numbers by 2-digit numbers
  7. Divide whole numbers by 2-digit numbers: word problems

F. Divisibility rules

  1. Review divisibility rules
  2. Divisibility rules: word problems

G. Factors and multiples

  1. Identify factors
  2. Prime and composite numbers
  3. Prime factorization
  4. Least common multiple

H. Mixed operations: whole numbers

  1. Perform operations with whole numbers
  2. Perform operations with whole numbers: word problems

I. Numerical expressions

  1. Write numerical expressions using one operation
  2. Write numerical expressions using two operations
  3. Evaluate numerical expressions

J. Multi-step word problems

  1. Write numerical expressions for word problems
  2. Multi-step word problems: without remainders
  3. Multi-step word problems: with remainders

K. Fractions and mixed numbers

  1. Identify fractions and mixed numbers
  2. Simplify fractions
  3. Convert between mixed numbers and improper fractions
  4. Least common denominator

L. Adding and subtracting fractions

  1. Add fractions with unlike denominators
  2. Subtract fractions with unlike denominators
  3. Add and subtract fractions with unlike denominators: word problems
  4. Complete addition and subtraction sentences with fractions
  5. Compare fraction sums and differences

M. Adding and subtracting mixed numbers

  1. Estimate sums and differences of mixed numbers
  2. Add and subtract mixed numbers
  3. Add and subtract mixed numbers: word problems
  4. Complete addition and subtraction sentences with mixed numbers

N. Understand fraction multiplication

  1. Use models to multiply fractions by whole numbers
  2. Multipy fractions by whole numbers
  3. Multipy fractions by whole numbers: word problems

O. Multiplying fractions

  1. Multiply two proper fractions
  2. Multiply two fractions: word problems
  3. Multiply three fractions
  4. Complete Fraction Multiplication Sentences

P. Understand multiplication with mixed numbers

  1. Use models to multiply mixed numbers by whole numbers

Q. Multiplying mixed numbers

  1. Estimate products of mixed numbers
  2. Multiply mixed numbers, fractions, and whole numbers
  3. Multiply with mixed numbers: word problems

R. Understand fraction division

  1. Relate division and fractions

S. Dividing unit fractions and whole numbers

  1. Divide unit fractions by whole numbers
  2. Divide whole numbers by unit fractions

T. Mixed operations: fractions

  1. Add, subtract, multiply, and divide fractions and mixed numbers
  2. Add, subtract, multiply, and divide fractions and mixed numbers: word problems

U. Decimals place value

  1. Identify decimal numbers from visual models
  2. Identify decimal numbers from place value models
  3. Word names for decimal numbers
  4. Place values in decimal numbers
  5. Compose and decompose decimal numbers
  6. Round decimals

V. Comparing decimals

  1. Identify equivalent decimals
  2. Compare decimals using place value grids
  3. Put decimal numbers in order

W. Convert between decimals and fractions

  1. Convert fractions to decimals
  2. Convert mixed numbers to decimals
  3. Convert decimals to fractions
  4. Convert decimals to mixed-numbers

X. Comparing decimals and fractions

  1. Compare decimals and fractions using signs

Y. Adding and subtracting decimals

  1. Learn to add decimal numbers
  2. Learn to subtract decimal numbers
  3. Add and subtract decimals: word problems
  4. Complete addition and subtraction sentences with decimals
  5. Find missing numbers in decimal sequences
  6. Estimate sums and differences of decimals

Z. Multiplying decimals

  1. Multiply decimals by powers of ten
  2. Use exponents to multiply decimals by powers of ten
  3. Multiply by 0.1, 0.01, or 0.001
  4. Complete decimal multiplication sentences
  5. Multiply decimals by whole numbers
  6. Estimate products of decimals
  7. Multiply two decimals
  8. Multiply decimals: word problems

AA. Dividing decimals

  1. Divide decimals by powers of ten
  2. Use exponents to divide decimals by powers of ten
  3. Divide by 0.1, 0.01, or 0.001
  4. Divide decimals by whole numbers
  5. Divide decimals by decimals
  6. Divide decimals: word problems

BB. Mixed operations: decimals

  1. Add, subtract, multiply, and divide decimals

CC. Money

  1. Add and subtract money
  2. Add and subtract money: word problems
  3. Multiply and divide money
  4. Multiply and divide money: word problems

DD. Customary units of measurement

  1. Convert and compare customary units of length
  2. Convert and compare customary units of weight
  3. Convert and compare customary units of volume

EE. Metric units of measurement

  1. Convert and compare metric units of length
  2. Convert and compare metric units of mass
  3. Convert and compare metric units of volume

FF. Patterns and sequences

  1. Complete number patterns using rules
  2. Complete number patterns

GG. Coordinate plane

  1. Understand the coordinate plane
  2. Identify the coordinates of given points

HH. Variable expressions

  1. Write variable expressions
  2. Evaluate variable expressions
  3. Evaluate variable equations

II. Data and graphs

  1. Interpret data on line plots with whole numbers
  2. Interpret bar graphs

JJ. Statistics

  1. Find the mean
  2. Find the mode
  3. Find the median
  4. Find the range

KK. Triangles

  1. Acute, right, and obtuse triangles
  2. Equilateral, isosceles, and scalene triangles

LL. Quadrilaterals

  1. Identify parallel sides in quadrilaterals
  2. Classify quadrilaterals

MM. Polygons

  1. Identify polygons
  2. Properties of polygons

NN. Area and perimeter

  1. Area of squares and rectangles
  2. Perimeter with side lengths

OO. Volume

  1. Find the volume of composite figures made of unit cubes
  2. Find the volume

PP. Financial literacy

  1. Understand income and payroll taxes
  2. Understand gross and net income

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