Fifth Grade Math
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A. Whole Numbers and Place Value
- 1 Convert between standard and expanded form
- 2 Place value
- 3 Relationship between place values
- 4 Write numbers in words
- 5 Spell word names for numbers up to one million
- 6 Roman numerals I, V, X, L, C, D, M
Example: $345,678 = 300,000 + 40,000 + 5,000 + 600 + 70 + 8$
View full lesson →B. Addition and Subtraction
- 1 Estimate sums and differences of whole numbers
- 2 Estimate sums and differences: word problems
- 3 Add and subtract whole numbers up to billions
- 4 Add and subtract whole numbers: word problems
- 5 Complete addition and subtraction sentences
- 6 Properties of addition
- 7 Add using properties
Commutative Property: $a + b = b + a$
View full lesson →C. Powers of Ten
- 1 Understanding powers of ten
- 2 Evaluate powers of ten
- 3 Write powers of ten with exponents
$10^3 = 10 \times 10 \times 10 = 1,000$
View full lesson →D. Multiplication
- 1 Multiplication patterns over increasing place values
- 2 Multiply numbers ending in zeros
- 3 Multiply numbers ending in zeros: word problems
- 4 Multiply using the distributive property
- 5 Multiply using expanded form
Distributive Property: $a(b + c) = ab + ac$
View full lesson →E. Division
- 1 Division patterns over increasing place values
- 2 Divide numbers ending in zeros
- 3 Divide numbers ending in zeros: word problems
- 4 Estimate quotients: 2-digit divisors
- 5 Divide multi-digit numbers by 1-digit numbers
- 6 Divide by 1-digit numbers: interpret remainders
Example: $156 \div 12 = 13$ (no remainder)
View full lesson →F. Factors, Multiples, and Divisibility
- 1 Identify factors
- 2 Prime and composite numbers
- 3 Prime factorization
- 4 Divisibility rules
- 5 Divisibility rules: word problems
- 6 Find all the factor pairs of a number
- 7 Least common multiple
G. Mixed Operations: Whole Numbers
- 1 Add, subtract, multiply, and divide whole numbers
- 2 Add, subtract, multiply, and divide whole numbers: word problems
H. Numerical Expressions
- 1 Write numerical expressions: one operation
- 2 Write numerical expressions: two operations
- 3 Evaluate numerical expressions
- 4 Evaluate numerical expressions with parentheses
- 5 Evaluate numerical expressions with parentheses and brackets
Order of Operations: $(3 + 5) \times 2^2 = 8 \times 4 = 32$
View full lesson →I. Multi-step Word Problems
- 1 Write numerical expressions for word problems
- 2 Use numerical expressions to solve multi-step word problems
- 3 Represent multi-step problems using equations
- 4 Multi-step word problems
- 5 Multi-step word problems involving remainders
J. Fractions and Mixed Numbers
- 1 Fractions review
- 2 Equivalent fractions
- 3 Write fractions in lowest terms
- 4 Convert between improper fractions and mixed numbers
- 5 Least common denominator
- 6 Round mixed numbers
- 7 Reciprocals
Mixed Number: $3\frac{1}{2} = \frac{7}{2}$
View full lesson →K. Compare Fractions
- 1 Graph and compare fractions on number lines
- 2 Compare fractions using benchmarks
- 3 Compare fractions and mixed numbers
- 4 Put fractions in order
L. Add and Subtract Fractions
- 1 Estimate sums and differences of fractions using benchmarks
- 2 Add fractions with unlike denominators using models
- 3 Add fractions with unlike denominators
- 4 Subtract fractions with unlike denominators using models
- 5 Subtract fractions with unlike denominators
$\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$
View full lesson →M. Add and Subtract Mixed Numbers
- 1 Add mixed numbers with unlike denominators
- 2 Subtract mixed numbers with unlike denominators
- 3 Add and subtract mixed numbers: word problems
N. Understand Fraction Multiplication
- 1 Fractions of whole numbers using models
- 2 Fractions of whole numbers
- 3 Fractions of a group: word problems
- 4 Multiply unit fractions by whole numbers using models
- 5 Multiply unit fractions by whole numbers
O. Multiply Fractions and Whole Numbers
- 1 Multiply fractions and whole numbers using number lines
- 2 Multiply fractions by whole numbers using models
- 3 Multiply fractions and whole numbers
- 4 Multiply fractions and whole numbers: word problems
- 5 Scaling by fractions
P. Multiply Fractions
- 1 Multiply two fractions using models
- 2 Multiply two fractions
- 3 Multiply three fractions and whole numbers
- 4 Complete the fraction multiplication sentence
- 5 Understand fraction multiplication and area
- 6 Multiply fractions to find area
$\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$
View full lesson →Q. Multiplication with Mixed Numbers
- 1 Multiply a mixed number by a whole number using a model I
- 2 Multiply a mixed number by a whole number using a model II
- 3 Multiply with mixed numbers using area models
R. Multiply Mixed Numbers
- 1 Estimate products of mixed numbers
- 2 Multiply a mixed number by a whole number
- 3 Multiply a mixed number by a fraction
- 4 Multiply two mixed numbers
- 5 Multiply mixed numbers, fractions, and whole numbers
- 6 Multiply three mixed numbers, fractions, and whole numbers
- 7 Multiplication with mixed numbers: word problems
- 8 Multiply fractions and mixed numbers in recipes
S. Scaling by Fractions
- 1 Multiply to find the total for equal groups
- 2 Understanding scaling by fractions
- 3 Scale whole numbers by fractions: justify solutions
- 4 Scale whole numbers by mixed numbers: justify solutions
T. Understand Fraction Division
- 1 Divide whole numbers by unit fractions using models
- 2 Divide whole numbers by unit fractions using number lines
- 3 Divide unit fractions by whole numbers using models
- 4 Relate division and fractions
- 5 Fractions as division: word problems
U. Divide Unit Fractions and Whole Numbers
- 1 Divide unit fractions by whole numbers
- 2 Divide whole numbers by unit fractions
- 3 Divide unit fractions and whole numbers
- 4 Divide unit fractions and whole numbers: word problems
V. Mixed Operations: Fractions and Mixed Numbers
- 1 Add, subtract, multiply, and divide fractions and mixed numbers
- 2 Add, subtract, multiply, and divide fractions and mixed numbers: word problems
- 3 Multi-step word problems with fractions and mixed numbers
W. Decimal Place Value
- 1 What decimal number is illustrated?
- 2 Place value models for decimal numbers
- 3 Understanding decimals expressed in words
- 4 Place values in decimal numbers
- 5 Relationship between decimal place values
- 6 Convert decimals between standard and expanded form
- 7 Convert decimals between standard and expanded form using fractions
- 8 Compose and decompose decimals in multiple ways
- 9 Round decimals
- 10 Decimal number lines
$3.456 = 3 + 0.4 + 0.05 + 0.006$
View full lesson →X. Compare and Order Decimals
- 1 Equivalent decimals
- 2 Compare decimals using grids
- 3 Compare decimals on number lines
- 4 Compare decimal numbers
- 5 Put decimal numbers in order
- 6 Compare, order, and round decimals: word problems
Y. Convert Between Decimals and Fractions
- 1 Model decimals and fractions
- 2 Convert fractions to decimals
- 3 Convert mixed numbers to decimals
- 4 Convert decimals to fractions
- 5 Convert decimals to mixed numbers
$0.75 = \frac{75}{100} = \frac{3}{4}$
View full lesson →Z. Compare Decimals and Fractions
- 1 Compare decimals and fractions on number lines
- 2 Compare decimals and fractions
- 3 Put a mix of decimals and fractions in order
- 4 Put a mix of decimals, fractions, and mixed numbers in order
AA. Add and Subtract Decimals
- 1 Add decimal numbers using blocks
- 2 Add decimal numbers
- 3 Use properties to add three decimals
- 4 Subtract decimal numbers using blocks
- 5 Subtract decimal numbers
- 6 Add and subtract decimal numbers
- 7 Use compensation to add and subtract decimals
- 8 Add and subtract decimals: word problems
- 9 Choose decimals with a particular sum or difference
- 10 Complete the decimal addition or subtraction sentence
- 11 Compare sums and differences of decimals
- 12 Number sequences involving decimals
- 13 Estimate sums and differences of decimals using rounding
- 14 Estimate sums and differences of decimals using benchmarks
Example: $12.45 + 8.67 = 21.12$
View full lesson →BB. Multiply Decimals by Powers of Ten
- 1 Multiply a decimal by a power of ten
- 2 Multiply a decimal by a power of ten: with exponents
- 3 Multiply by 0.1 or 0.01
- 4 Multiply by a power of ten with decimals: find the missing number
$3.45 \times 10^2 = 345$
View full lesson →CC. Multiply Decimals by Whole Numbers
- 1 Estimate products of whole numbers and decimals
- 2 Multiply a decimal by a one-digit whole number: tenths or hundredths
- 3 Multiply a decimal by a one-digit whole number using blocks
- 4 Multiply a decimal by a one-digit whole number using the distributive property
- 5 Multiply a decimal by a one-digit whole number
- 6 Multiply a decimal by a two-digit whole number using area models
- 7 Multiply a decimal by a multi-digit whole number
DD. Multiply Decimals
- 1 Estimate products of decimals
- 2 Multiply two decimals using grids
- 3 Multiply decimals
- 4 Multiply decimals: word problems
$2.5 \times 1.2 = 3.0$
View full lesson →EE. Divide Decimals
- 1 Estimate decimal quotients
- 2 Divide decimals by whole numbers
- 3 Divide decimals by whole numbers: word problems
- 4 Divide by decimals
- 5 Divide decimals: word problems
FF. Divide Decimals by Powers of Ten
- 1 Divide by powers of ten
- 2 Divide by powers of ten: with exponents
- 3 Divide by 0.1 or 0.01
$34.5 \div 10 = 3.45$
View full lesson →GG. Mixed Operations: Decimals
- 1 Add, subtract, multiply, and divide decimals
- 2 Add, subtract, multiply, and divide decimals: word problems
- 3 Add, subtract, multiply, and divide decimals: multi-step word problems
- 4 Equations with mixed operations: true or false
HH. Money and Time
- 1 Add and subtract money amounts
- 2 Add and subtract money: word problems
- 3 Add and subtract money: multi-step word problems
- 4 Multiply money amounts
- 5 Multiply money amounts: word problems
- 6 Multiply money amounts: multi-step word problems
- 7 Divide money amounts
- 8 Divide money amounts: word problems
- 9 Price lists
- 10 Unit prices
- 11 Find the number of each type of coin
- 12 Convert time units
Example: $\$12.50 \times 4 = \$50.00$
View full lesson →II. Customary Units of Measurement
- 1 Compare and convert customary units of length
- 2 Compare and convert customary units of weight
- 3 Compare and convert customary units of volume
- 4 Compare and convert customary units
- 5 Conversion tables - customary units
1 foot = 12 inches, 1 yard = 3 feet, 1 mile = 5,280 feet
View full lesson →JJ. Metric Units of Measurement
- 1 Compare and convert metric units of length
- 2 Compare and convert metric units of weight
- 3 Compare and convert metric units of volume
- 4 Compare and convert metric units
- 5 Conversion tables - metric units
1 meter = 100 centimeters, 1 kilometer = 1000 meters
View full lesson →KK. Number Patterns
- 1 Use a rule to complete a number pattern
- 2 Compare patterns
- 3 Complete an increasing number pattern
- 4 Complete a multiplication number pattern
- 5 Number patterns: word problems
- 6 Number patterns: mixed review
LL. Coordinate Plane
- 1 Describe the coordinate plane
- 2 Objects on a coordinate plane
- 3 Graph points on a coordinate plane
- 4 Graph triangles and quadrilaterals
- 5 Graph points from a table
- 6 Use a rule to complete a table and a graph
- 7 Analyze graphed relationships
- 8 Coordinate planes as maps
- 9 Follow directions on a coordinate plane
Point: $(x, y)$ where $x$ is horizontal, $y$ is vertical
View full lesson →MM. Variable Expressions
- 1 Write variable expressions
- 2 Write variable expressions: word problems
- 3 Evaluate variable expressions
- 4 Write variable equations: word problems
- 5 Find a value using two-variable equations
- 6 Complete a table for a two-variable relationship
- 7 Complete a table from a graph
- 8 Graph patterns using rules
- 9 Graph a two-variable relationship
- 10 Write a two-variable equation
Example: If $x = 5$, then $3x + 2 = 17$
View full lesson →NN. Data and Graphs
- 1 Interpret line plots with whole numbers
- 2 Create line plots with decimals
- 3 Create line plots with fractions
- 4 Create and interpret line plots with fractions
- 5 Interpret line plots with fractions: multi-step problems
- 6 Create line graphs
- 7 Interpret line graphs
- 8 Create bar graphs
- 9 Interpret bar graphs
- 10 Interpret bar graphs: multi-step problems
- 11 Create frequency tables
- 12 Interpret frequency tables: one-step problems
- 13 Interpret frequency tables: multi-step problems
- 14 Create stem-and-leaf plots
- 15 Interpret stem-and-leaf plots
- 16 Create scatter plots
- 17 Interpret scatter plots
- 18 Predictions and trends in scatter plots
OO. Statistics
- 1 Find the mode
- 2 Find the mean
- 3 Find the median
- 4 Find the range
- 5 Mean: find the missing number
- 6 Median: find the missing number
- 7 Range: find the missing number
- 8 Interpret charts and graphs to find the mode
- 9 Interpret charts and graphs to find the mean
- 10 Interpret charts and graphs to find the median
- 11 Interpret charts and graphs to find the range
Mean = $\frac{\text{Sum of all values}}{\text{Number of values}}$
View full lesson →PP. Triangles
- 1 Acute, obtuse, and right triangles
- 2 Scalene, isosceles, and equilateral triangles
- 3 Classify triangles
Sum of angles in a triangle = $180°$
View full lesson →QQ. Quadrilaterals
- 1 Parallel sides in quadrilaterals
- 2 Identify parallelograms
- 3 Identify trapezoids
- 4 Identify rectangles
- 5 Identify rhombuses
- 6 Classify quadrilaterals
- 7 Pick all the names for a quadrilateral
- 8 Draw quadrilaterals
- 9 Identify the relationships between quadrilaterals
- 10 Describe relationships among quadrilaterals
RR. Polygons
- 1 Is it a polygon?
- 2 Number of sides in polygons
- 3 Regular and irregular polygons
- 4 Sort polygons into Venn diagrams
- 5 Properties of polygons
SS. Perimeter
- 1 Perimeter with whole number side lengths
- 2 Perimeter with decimal side lengths
- 3 Perimeter with fractional side lengths
- 4 Find the missing side length of a rectangle
- 5 Perimeter: word problems
- 6 Perimeter of polygons on the coordinate plane
Perimeter of Rectangle = $2(l + w)$
View full lesson →TT. Volume
- 1 Volume of cubes and rectangular prisms
- 2 Volume of irregular figures made of unit cubes
- 3 Volume of cubes and rectangular prisms: word problems
- 4 Volume of rectangular prisms made of unit cubes
- 5 Volume of rectangular prisms with fractional edge lengths
- 6 Volume of composite figures
Volume = $l \times w \times h$
View full lesson →UU. Area
- 1 Area of squares and rectangles
- 2 Area of squares and rectangles with fractions
- 3 Area of parallelograms and triangles
- 4 Area of composite figures
- 5 Area: word problems
- 6 Area between two shapes
- 7 Area and perimeter: word problems
- 8 Area of rectangles on the coordinate plane
Area of Rectangle = $l \times w$
Area of Triangle = $\frac{1}{2} \times b \times h$
View full lesson →Area of Triangle = $\frac{1}{2} \times b \times h$
VV. Financial Literacy
- 1 Calculate profit and loss
- 2 Simple interest
- 3 Calculate tax, tip, and commission
- 4 Sale prices and discounts
- 5 Percent of a number: word problems
- 6 Multi-step problems with percents
- 7 Unit price with unit conversions
- 8 Compare prices with different units
Simple Interest = $P \times r \times t$
where P = principal, r = rate, t = time
View full lesson →where P = principal, r = rate, t = time
This comprehensive 5th grade math curriculum covers all essential topics aligned with common core standards. Each section includes practice problems, video tutorials, and interactive exercises to help students master the concepts.