5TH GRADE SYLLABUS
MATH
PLACE VALUE OF WHOLE NUMBERS AND DECIMALS
Place value through hundred thousands
Place value and exponents
Place value through hundred billions
Compare, order, and round whole numbers
Place value through thousandths
Compare, order, and round decimals
ADD AND SUBTRACT WHOLE NUMBERS
Expressions and addition properties
Estimate sums and differences
Add and subtract whole numbers
Add and subtract greater numbers
Addition and subtraction equations
MULTIPLY WHOLE NUMBERS
Expressions and multiplication properties
Distributive Property
Multiply by one-digit numbers
Patterns in multiples of 10
Multiplying by two-digit numbers
DIVIDE BY ONE-DIGIT NUMBERS
Estimate quotients
One-digit divisors
Divisibility
Zeros in the quotient
Solve equations
DIVIDE BY TWO-DIGIT NUMBERS
Divide by multiples of 10, 100, and 1000
Two-digit divisors
Adjusting quotients
Division with greater numbers
Order of operations
UNITS OF MEASURE
Measurement concepts
Customary units of length
Customary units of weight and capacity
Metric units of length
Metric units of mass and capacity
Adding and subtracting measurements
GRAPH DATA
Double bar graphs
Histograms
Line and double line graphs
Choose an appropriate graph
Misleading graphs
DATA AND STATISTICS
Collect and organize data
Mean, median, mode, and range
Make and use a stem-and-leaf plot
Draw conclusions and make predictions
NUMBER THEORY AND FRACTION CONCEPTS
Prime and composite numbers
Prime factorization
Greatest Common Factor
Least Common Factor
Fractions and mixed numbers
Equivalent fractions and simples form
Relate fractions, mixed numbers, and decimals
ADD AND SUBTRACT FRACTIONS
Estimate with fractions
Add with like denominators
Add fractions with unlike denominators
Add mixed numbers with unlike denominators
Subtract fractions with like denominators
Subtract fractions with unlike denominators
Subtract mixed numbers with unlike denominators
ADD AND SUBTRACT DECIMALS
Explore addition and subtraction with decimals
Add decimals
Subtract decimals
Estimate decimals sums and differences
MULTIPLY AND DIVIDE FRACTIONS
Model multiplication
Multiply fractions
Multiply with mixed numbers
Model division
Divide fractions
Divide mixed numbers
MULTIPLY DECIMALS
Explore multiplication
Multiply whole numbers and decimals
Estimate products
Multiply decimals
Zeros in the product
DIVIDE DECIMALS
Explre division with decimals
Estimate quotients
Multiply and divide by powers of 10
Divide a decimal by a whole number
Write zeros in the dividend
Repeating decimals
Divide a decimal by a decimal
PLANE FIGURES AND GEOMETRIC CONCEPTS
Points, lines, and rays
Measure, draw, and classify angles
Triangles
Congruence
Quadrilaterals and other polygons
Rotations, reflections, and translations
Circles
Symmetry
PERIMETER, AREA, AND CIRCUMFERENCE
Perimeter
Area of a parallelogram
Area of a triangle
Perimeter and area of irregular figures
Circumference of a circle
SOLID FIGURES, SURFACE AREA, AND VOLUME
Solid figures
Two-dimensional views of solid figures
Nets
Surface area
Volume
RATIO AND PROPORTION
Ratios
Equivalent ratios
Rates
Proportions
Similar figures and scale drawings
PERCENT
Understand percent
Relate fractions, decimals, and percents
Find 10% of a number
Percent of a number
PROBABLILITY
Make choices
Probability concepts
Theoretical probability
Experimental probability
Compound events
EQUATIONS AND FUNCTIONS
Model equations
Write and solve equations
Variables and functions
Patterns and functions
INTEGERS
Integers and absolute value
Compare and order integers
Model of addition of integers
Model of subtractions integers
Add and subtract integers
COORDINATE GRAPHING
Integers and the coordinate plane
Integers and functions
Use functions and graphs
Transformations in the coordinate plane