Natural numbers
·
Operations
with natural numbers: addition,
subtraction, multiplication, division facts
mixed operations, sequences,
patterns . Write numbers in words
·
Ordinal numbers to 100th
·
Roman numerals I, V, X, L, C, D, M
·
Complete the addition,
subtraction, multiplication, or division sentence
·
Addition, subtraction, multiplication, and
division word problems
·
Interpret data in tables
·
Multi-step word problems
·
Missing operators
·
Even and odd I
·
Even and odd II
·
Skip-counting puzzles
·
Number sequences
·
Put numbers in order
·
Which number is greatest/least?
·
Comparing numbers
·
Comparing - with addition and subtraction
·
Multi-step inequalities
·
Convert between
standard and scientific notation
·
Compare numbers written
in scientific notation
·
Prime or composite
·
Identify factors
·
Prime factorization
·
Prime factorization
with exponents
·
Greatest common factor
·
Least common multiple
·
GCF and LCM: word
problems
Mixed operations
· Add, subtract, multiply, divide
· Addition, subtraction, multiplication, and division word
problems
· Estimate sums, differences, products, and quotients: word
problems
· Multi-step word problems
· Word problems with extra or missing informatio
Solve word problems using guess-and-check
· Choose numbers with a particular sum, difference, product, or
quotient
· Mentally add and subtract numbers ending in zeroes
· Inequalities involving addition, subtraction, multiplication and
division
Real numbers
· Operations whith numbers from N, Z, Q,I, R: sums,
decreases, products, quotients,
powers, radicals.
·
Addition: fill in the
missing digits
·
Properties of addition
·
Add 3 or more numbers
up to millions
·
Addition patterns over
increasing place values
·
Choose numbers with a
particular sum
·
Estimate sums
·
Estimate sums: word
problems
·
Subtract numbers up to
millions
·
Subtract numbers up to
millions: word problems
·
Subtraction: fill in
the missing digits
·
Subtraction patterns
over increasing place values
·
Choose numbers with a
particular difference
·
Estimate differences
· Estimate differences: word problems
· Multiplication facts to 12
· Missing factors - facts to 12
· Choose the multiples of a given number up to
12
· Identify factors
· Multiply 1-digit numbers by larger numbers
· Multiplication patterns over increasing
place values
· Properties of multiplication
· Estimate products
· Estimate products: word problems
·
Multiply
a 2-digit number by a 2-digit number: complete the missing steps
·
Multiply
a 2-digit number by a 2-digit number
·
Multiply
a 2-digit number by a 2-digit number: word problems
·
Choose
numbers with a particular product
·
Multiply
a 2-digit number by a larger number: complete the missing steps
·
Multiply
a 2-digit number by a larger number
·
Multiply
a 2-digit number by a larger number: word problems
·
Multiply
numbers ending in zeroes
·
Multiply
numbers ending in zeroes: word problems
·
Multiply
3 numbers up to 2 digits each
·
Inequalities
with multiplication
·
Division
facts to 12
·
Division
facts to 12: word problems
·
Properties
of division
·
Divide
larger numbers, one-digit divisors
·
Divide
larger numbers, one-digit divisors: word problems
·
Divide
by 1-digit numbers: complete the table
·
Divide
by 1-digit numbers: interpret remainders
·
Choose
numbers with a particular quotient
·
Divide
numbers ending in zeroes, one-digit divisors
·
Estimate
quotients, one-digit divisors
·
Divisibility
rules
·
Division
patterns over increasing place values
·
Divide
numbers ending in zeroes, multi-digit divisors
·
Divide
numbers ending in zeroes, multi-digit divisors: word problems
·
Divide
2-digit numbers by multiples of 10
·
Divide
by 2-digit numbers
·
Divide
by 2-digit numbers: word problems
·
Divide
larger numbers by 2-digit numbers
·
Divide
larger numbers by 2-digit numbers: word problems
·
Inequalities
with division
·
Estimate
quotients
·
Write
multiplication expressions using exponents
·
Evaluate
exponents
·
Exponents:
solve for the variable
·
Exponents
with decimal bases
·
Exponents
with fractional bases
·
Understanding
negative exponents
·
Evaluate
negative exponents
·
Advanced
exponents
·
Square
roots of perfect squares
·
Estimate
square roots
·
What decimal number is
illustrated?
·
Understanding decimals
expressed in words
·
Place values in decimal
numbers
·
Equivalent decimals
·
Decimal number lines
·
Convert fractions and
mixed numbers to decimals
·
Convert decimals to
fractions and mixed numbers
·
Compare decimals and
fractions
·
Round decimals
·
Compare decimal numbers
·
Repeating decimals
·
Put assorted decimals,
fractions, and mixed numbers in order
·
Put decimal numbers in
order
·
Number sequences
involving decimals
·
Solve decimal problems
using diagrams
·
Add decimal numbers
·
Subtract decimal
numbers
·
Add and subtract
decimals: word problems
·
Choose decimals with a
particular sum or difference
·
Add 3 or more decimals
·
Add 3 or more decimals:
word problems
·
Complete the addition
or subtraction sentence
·
Inequalities with
addition and subtraction
·
Estimate sums and
differences of decimals
·
Add and subtract whole
numbers up to billions
·
Add and subtract whole
numbers: word problems
·
Add and subtract money
amounts
·
Add and subtract money:
word problems
·
Complete addition and
subtraction sentences
·
Fill in the missing
digits
·
Choose numbers with a
particular sum or difference
·
Properties of addition
·
Inequalities with
addition and subtraction
·
Estimate sums and
differences of whole numbers
·
Estimate sums and
differences: word problems
·
Multiply by 1-digit
numbers
·
Multiply by 1-digit
numbers: word problems
·
Multiplication patterns
over increasing place values
·
Multiply numbers ending
in zeroes
·
Multiply numbers ending
in zeroes: word problems
·
Properties of
multiplication
·
Choose numbers with a
particular product
·
Estimate products
·
Estimate products: word
problems
·
Multiply by 2-digit
numbers: complete the missing steps
·
Multiply a 2-digit
number by a 2-digit number
·
Multiply a 2-digit
number by a larger number
·
Multiply by 2-digit
numbers: word problems
·
Multiply three or more
numbers up to 2 digits each
·
Multiply by 3-digit
numbers
·
Multiply three numbers
up to 3 digits each
·
Multiply three or more
numbers: word problems
·
Inequalities with
multiplication
·
Estimate products of
decimals
·
Multiply a decimal by a
power of ten
·
Multiply a decimal by a
one-digit whole number
·
Multiply a decimal by a
multi-digit whole number
·
Multiply decimals and
whole numbers: word problems
·
Multiply money amounts:
word problems
·
Multiply three or more
numbers, one of which is a decimal
·
Multiply two decimals
using grids
·
Multiply two decimals
·
Inequalities with
decimal multiplication
·
Division facts to 12
·
Division facts to 12:
word problems
·
Divide multi-digit
numbers by 1-digit numbers
·
Divide multi-digit
numbers by 1-digit numbers: word problems
·
Divide by 1-digit
numbers: interpret remainders
·
Estimate quotients:
word problems
·
Division patterns over
increasing place values
·
Divide numbers ending
in zeroes
·
Divide numbers ending
in zeroes: word problems
·
Divide by 2-digit
numbers
·
Divide by 2-digit
numbers: word problems
·
Divide money amounts:
word problems
·
Estimate quotients
·
Choose numbers with a
particular quotient
·
Divide by powers of ten
·
Decimal division
patterns over increasing place values
·
Division with decimal
quotients
·
Division with decimal
quotients and rounding
·
Division with decimal
quotients: word problems
·
Understanding integers
·
Absolute value and
opposite integers
·
Number lines with
integers
·
Compare and order
integers
·
Integer addition and
subtraction rules
·
Add integers - using
counters
·
Add integers
·
Subtract integers -
using counters
·
Subtract integers
·
Add and subtract
integers - input/output tables
·
Add three or more
integers
·
Integer multiplication rules
·
Multiply integers
·
Integer division rules
·
Divide integers
·
Compare rational
numbers
·
Put rational numbers in
order
·
Absolute value of
rational numbers
·
Add and subtract
rational numbers
·
Multiply and divide
rational numbers
·
Equations and inequalities
with solutions in
N, Z, Q,I, R.
Properties
·
Solve problems using
the properties of: addition, subtraction, multiplication, division terms
·
Understanding
parentheses
Place values and number sense
·
Place values
·
Convert between place values
·
Word names for numbers
·
Compare numbers up to
billions
·
Roman numerals
·
Prime and composite numbers
·
Rounding
·
Even and odd arithmetic
patterns
·
Understanding integers
·
Compare integers
·
Put integers in order
·
Scientific notation
·
Inequalities with number
lines
·
Compare numbers up to
billions
Logical reasoning
·
Guess
the number
·
Largest/smallest
number possible
·
Find
the order
·
Age
puzzles
·
Guess
two numbers based on sum and difference
·
Guess
two numbers based on sum, difference, product, and quotient
Fractions
·
Halves,
thirds, and fourths
·
Equal
parts
·
Simple
fractions: what fraction does the shape show?
·
Simple
fractions: parts of a group
·
Fractions
- word problems
·
Compare
fractions Equivalent
fractions
·
Reduce
fractions to simplest form
·
Convert
between improper fractions and mixed numbers
·
Least
common denominator
·
Compare
fractions and mixed numbers
·
Put
fractions in order
·
Arithmetic
sequences with fractions
·
Geometric
sequences with fractions
·
Round
mixed numbers
·
Reciprocals
·
Simple
fractions: which shape matches the fraction?
·
Add
and subtract fractions with like denominators
·
Add
and subtract fractions with like denominators: word problems
·
Add
3 or more fractions with like denominators
·
Add
fractions with unlike denominators
·
Subtract
fractions with unlike denominators
·
Add
and subtract fractions with unlike denominators: word problems
·
Add
3 or more fractions with unlike denominators
·
Add
3 or more fractions with like and unlike denominators: word problems
·
Find
the missing numerator or denominator in addition and subtraction sentences
·
Add
and subtract mixed numbers with like denominators
·
Add
and subtract mixed numbers with unlike denominators
·
Add
and subtract mixed numbers with like and unlike denominators: word problems
·
Inequalities
with addition and subtraction of fractions
·
Recipes
·
Multiply
fractions by whole numbers I
·
Multiply
fractions by whole numbers II
·
Multiply
fractions by whole numbers: word problems
·
Multiply
three or more fractions and whole numbers
·
Complete
the fraction multiplication sentence
·
Estimate
products of mixed numbers
·
Multiply
a mixed number by a whole number
·
Multiply
a mixed number by a fraction
·
Multiply
two mixed numbers
·
Multiply
three or more mixed numbers, fractions, and/or whole numbers
·
Multiplication
with mixed numbers: word problems
·
Complete
the mixed-number multiplication sentence
·
Divide
fractions by whole numbers
·
Divide
fractions by whole numbers: word problems
·
Divide
whole numbers by fractions
·
Divide
two fractions
·
Divide
fractions and mixed numbers
·
Complete
the division sentence
·
Divide
fractions and mixed numbers: word problems
·
Add,
subtract, multiply, and divide whole numbers
·
Add,
subtract, multiply, and divide whole numbers: word problems
·
Add,
subtract, multiply, and divide decimals
·
Add,
subtract, multiply, and divide decimals: word problems
·
Add,
subtract, multiply, and divide fractions and mixed numbers
·
Add,
subtract, multiply, and divide fractions and mixed numbers: word problems
·
Recipes
with fractions
Ratios, proportions, and percents
·
Determine
the ratio
·
Ratio
tables
·
Ratios:
word problems
·
Equivalent
ratios
·
Proportions
·
Unit
rates and equivalent rates
·
Scale
drawings
·
What
percentage is illustrated?
·
Convert
between percents, fractions, and decimals
·
Percent
of a number
·
Percent
of a number: word problems
·
Compare
percentages
Estimation and
rounding
·
Estimate
to the nearest ten
·
Round
to the nearest ten
·
Round
to the nearest ten or hundred
·
Round
to the nearest ten, hundred, or thousand
·
Estimate
sums, decreases, products, quotients, powers, radicals
·
Round
money amounts
·
Rounding
puzzles
·
Solve
inequalities using estimation
Algebra
·
Write
variable expressions
·
Write
variable expressions: word problems
·
Evaluate
variable expressions
·
Simplify
expressions using order of operations and parentheses
·
Write
variable equations to represent word problems
·
Solve
variable equations
·
Simplify
expressions using order of operations and parentheses
·
Write
equations to represent word problems
·
Solve
equations I
·
Solve
equations II
·
Function
tables
·
Convert
graphs to input/output tables
·
Write
linear functions
·
Graph
linear functions
·
Evaluate
functions
·
Write
multiplication expressions using exponents
·
Evaluate
exponent expressions
·
Complete
the exponent expression
Functions
·
Input/output
tables with addition, subtraction, multiplication, and division
·
Function
tables
·
Write
linear functions
·
Graph
linear function
Geometry
· Identify 2-dimensional shapes
· Identify 3-dimensional figures
· Identify planar and solid shapes
· Geometry of everyday objects
· Relate planar and solid figures
· Open and closed shapes
· Flip, turn, and slide
· Same shape
· Similar and congruent
· Open and closed shapes and qualities of polygons
· Which 2-dimensional shape is being described?
· Which 3-dimensional shape is being described?
· Count and compare sides, edges, faces, and
vertices
· Number of sides in polygons
· Is it a polygon?
· Regular and irregular polygons
· Lines, line segments, and rays
· Parallel, perpendicular, intersecting
· Types of angles
· Acute, right, obtuse, and straight angles
· Angles of 90, 180, 270, and 360 degrees
· Measure angles with a protractor
· Estimate angle measurements
· Adjacent angles
· Complementary and supplementary angles
· Transversal of parallel lines
· Angles: greater than, less than, or equal to a
right angle
· Find the unknown angle in triangles and
quadrilaterals
· Types of triangles . Triangles: equilateral,
isosceles, and scalene
· Triangles: acute, right, and obtuse
· Classify quadrilaterals
· Symmetry
· Reflection, rotation, and translation
· Perimeter
· Perimeter: find the missing side length
· Area of figures made of unit squares
· Area of rectangles
· Area of squares and rectangles: word problems
· Area of complex figures (with all right angles)
· Area of parallelograms and trapezoids
· Area of compound figures
· Area and perimeter of irregular figures
· Area and perimeter: word problems
· Compare area and perimeter of two figures
· Use area and perimeter to determine cost
· Relationship between area and perimeter
· Parts of a circle
· Central angles of circles
· Calculate radius, diameter, circumference and
area of a circle
· Area of squares and rectangles
· Area of complex figures (with all right angles)
· Nets of 3-dimensional figures
· Three-dimensional figures viewed from different
perspectives
· Surface area and volume
· Volume of rectangular prisms made of unit cubes
· Volume of irregular figures made of unit cubes
· Volume of cubes and rectangular prisms
· Rotational symmetry
· Lines of symmetry
Problem
solving
· Multi-step word problems
· Word problems with extra or missing information
· Guess-and-check problems
· Find the order
· Use Venn diagrams to solve problems
Data
and graphs
·
Record data with tally
charts, picture graphs, tables
·
Interpret data in tally
charts, picture graphs, tables
·
Read a table
·
Interpret line graphs
·
Create line graphs
·
Interpret bar graphs
·
Create bar graphs
·
Interpret pictographs
·
Create pictographs
·
Interpret histograms
·
Create histograms
·
Interpret line plots
·
Create line plots
·
Frequency charts
·
Stem-and-leaf plots
·
Circle graphs
·
Choose the best type of
graph
·
Which bar graph is
correct?
·
Coordinate graphs
·
Graph points on a
coordinate plane
·
Relative coordinates
·
Coordinate graphs as maps
·
Interpret Venn diagrams
·
Coordinate graphs with
decimals and negative numbers
·
Graph points on a
coordinate plane
·
Relative coordinates: follow
directions
·
Quadrants
Measurement
·
Read a thermometer
·
Compare objects: length
and height
·
Which customary unit of
length is appropriate?
·
Customary units of
length: word problems
·
Which customary unit of
weight is appropriate?
·
Compare and convert cups,
pints, and quarts
·
Which metric unit of
length is appropriate?
·
Metric units of length:
word problems
·
Which metric unit of
weight is appropriate?
·
Which customary unit of
volume is appropriate?
·
Which metric unit of
volume is appropriate?
·
Choose the appropriate
measuring tool
·
Which customary unit is
appropriate?
·
Compare and convert
customary units of length
·
Compare and convert
customary units of weight
·
Compare and convert
customary units of volume
·
Conversion tables -
customary units
·
Compare customary units
by multiplying
·
Compare and convert
metric units of length
·
Compare and convert
metric units of weight
·
Compare and convert
metric units of volume
·
Conversion tables -
metric units
Money
·
Money names and values
·
Count bani, lei, euro
cents, euro
·
Count pennies, nickels,
dimes and quarters
·
Equivalent coins I
·
Equivalent coins II
·
Money - word problems
·
Least number of coins
·
Purchases: do you have
enough money?
·
Compare money amounts
·
Round money amounts
·
Add, subtract, multiply,
and divide money amounts
·
Multiply money by whole
numbers and decimals
·
Multiply money: word
problems
·
Divide money amounts
·
Divide money amounts: word
problems
·
Making change
·
Price lists with
addition, subtraction, multiplication, division
·
Unit price
Consumer
math
·
Price lists
·
Unit prices
·
Sale prices
Patterns
Recognize patterns
·
Describe patterns
·
Repeating patterns
·
Growing patterns
·
Geometric growth patterns
·
Increasing growth
patterns
·
Numeric patterns: word
problems
·
Patterns involving
addition and multiplication
·
Mixed patterns review
Probability
and statistics
·
More, less, and equally
likely
·
Certain, probable,
unlikely, and impossible
·
Mode and range
·
Data, charts, and graphs
·
Read a table
·
Interpret line graphs
·
Create line graphs
·
Interpret bar graphs
·
Create bar graphs
·
Interpret line plots
·
Create line plots
·
Frequency charts
·
Stem-and-leaf plots
·
Circle graphs
·
Choose the best type of
graph
·
Calculate probability
·
Make predictions
·
Calculate mean, median,
mode, and range
·
Mean, median, mode, and
range: find the missing number
·
Interpret charts to find
mean, median, mode, and range
·
Make predictions
·
Probabilities of compound
·
Interpret charts to find
mean, median, mode, and range
·
Combinations
Sorting,
ordering, and classifying
·
Venn diagrams
·
Put numbers in order
Time
·
Days of the week
·
Reading clocks
·
Time words: o'clock,
half, quarter
·
Match clocks and times
·
Times of everyday events
·
Match analog and digital
clocks
·
A.M. or P.M.
·
Compare clocks
·
Time and clocks: word
problems
·
Choose the appropriate
time units
·
Seasons of the year
·
Read a calendar
·
Months of the year
·
Number of days in each
month
·
Relate time units
·
Convert time units
·
Add and subtract mixed
time units
·
Fractions of time units
·
Time zones
·
Elapsed time
·
Find start and end times:
multi-step word problems
·
Schedules and time lines
·
Transportation schedules
·
Time patterns
Selected by, Teodora
Cosma
This list will be revised and completed. This is the first form of editing in order to guide the project activities.
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