# Programs

## WHY NUMBERS EVOLUTION?

Numbers Evolution brings personalized tutoring services to you on your schedule. No need to waste time going to group centers. Our dedicated and qualified math tutors will design a program for your student based on their needs and school’s curriculum, not a pre-determined program that may not relate at all to what your student is working on in school or trouble areas. Numbers Evolution will also work with your student’s math teacher to be sure your child is on the right track.

## ELEMENTARY MATH

Building math foundation, mastering computation and problem solving with whole and rational numbers, and understanding number sense. Numbers Evolution provides a learning experience that engages minds. Our tutors foster a more interesting and enjoyable learning environment which allows us to tweak math lessons according to your child’s specific abilities and needs.

PROVEN
APPROACH
INSTANT
FEEDBACK
BRAIN-BOOSTING
ACTIVITIES

#### PROVEN APPROACH

Numbers Evolution’s step-by-step technique tailors learning to your child.

#### INSTANT FEEDBACK

Numbers Evolution provides instant feedback which keeps students engaged and motivated.

#### BRAIN-BOOSTING ACTIVITIES

Numbers Evolution focuses on practical problem-solving to help your child understand math in a new way while gaining a stronger grasp of important concepts.

FUN
FORMAT
CHALLENGING
CONTENT

#### FUN FORMAT

Numbers Evolution provides instant feedback which keeps students engaged and motivated.

#### PROVEN APPROACH

Numbers Evolution’s step-by-step technique tailors learning to your child.

## NUMBERS EVOLUTION MATH PROGRAMS

Math is a big part of your child’s day in kindergarten. Your child will be exploring, experimenting, counting, sorting, and explaining. Young children often have trouble with symbolic concepts. For this reason, the early childhood classroom uses manipulatives.

Numbers

• Count and order numbers with understanding
• Count the number of objects in a set
• Begin to match number words to numerals

Shapes

• Identify and describe shapes including squares, triangles, circles and rectangles
• Compare and order objects of different shapes, sizes, heights and/or lengths
Numbers

Numbers

• Count and order numbers with understanding
• Count the number of objects in a set
• Begin to match number words to numerals
Shapes

Shapes

• Identify and describe shapes including squares, triangles, circles and rectangles
• Compare and order objects of different shapes, sizes, heights and/or lengths

In 1st grade, many children are still adjusting to the routine of school, let alone specific topic areas. The good news is by investing in 1st grade math tutoring, you’re giving your child a real edge. With our tutors’ hands-on help, you’ll see your child make visible progress with every math lesson — magical moments when concepts click, your child’s face lights up and learning becomes … fun!

• Understand addition and subtraction concepts using concrete objects and pictorial representation
• Add and subtract two, one-digit numbers without using objects or pictures
• Add a two-digit number to a one- or two-digit number with no regrouping
• Add three or more one-digit numbers
• Identify fact families with sums 0-18
• Subtract a one- and two-digit number from a two-digit number with no regrouping

Fractions

• Identify equal parts of a region using halves, thirds and fourths
• Understand the meaning of “fraction”
• Identify one-half of an object

Geometry

• Identify solid figures: cube, cylinder, cone, rectangular prism and sphere
• Relate plane figures to solid figures
• Classify and sort plane figures
• Complete and interpret simple picture graphs, bar graphs and tables

Measurement

• Measure height and length with nonstandard units
• Determine more capacity or less capacity

Numbers

• Match number words to numerals
• Identify ordinal numbers
• Count, order and write numbers 1-100
• Understand the concept of place value
• Understand “greater than” and “less than”
• Count and write by 2s, 5s and 10s

Problem Solving

• Select the appropriate operation and strategy to solve math problems
• Build and strengthen math skills through problem-solving activities
• Learn how to identify relevant and irrelevant information in a word problem

Time and Money

• Identify the value of a penny, nickel, dime, quarter and one-dollar bill
• Combine and identify the value of a collection of coins
• Combine and identify equivalent values of coins up to \$1.00
• Identify and interpret a calendar
• Tell and write time to the hour and half-hour using analog and digital clocks
• Order periods of time including days of the week and months of the year

• Understand addition and subtraction concepts using concrete objects and pictorial representation
• Add and subtract two, one-digit numbers without using objects or pictures
• Add a two-digit number to a one- or two-digit number with no regrouping
• Add three or more one-digit numbers
• Identify fact families with sums 0-18
• Subtract a one- and two-digit number from a two-digit number with no regrouping
Fractions

Fractions

• Identify equal parts of a region using halves, thirds and fourths
• Understand the meaning of “fraction”
• Identify one-half of an object
Geometry

Geometry

• Identify solid figures: cube, cylinder, cone, rectangular prism and sphere
• Relate plane figures to solid figures
• Classify and sort plane figures
• Complete and interpret simple picture graphs, bar graphs and tables
Measurement

Measurement

• Measure height and length with nonstandard units
• Determine more capacity or less capacity
Numbers

Numbers

• Match number words to numerals
• Identify ordinal numbers
• Count, order and write numbers 1-100
• Understand the concept of place value
• Understand “greater than” and “less than”
• Count and write by 2s, 5s and 10s
Problem Solving

Problem Solving

• Select the appropriate operation and strategy to solve math problems
• Build and strengthen math skills through problem-solving activities
• Learn how to identify relevant and irrelevant information in a word problem
Time & Money

Time and Money

• Identify the value of a penny, nickel, dime, quarter and one-dollar bill
• Combine and identify the value of a collection of coins
• Combine and identify equivalent values of coins up to \$1.00
• Identify and interpret a calendar
• Tell and write time to the hour and half-hour using analog and digital clocks
• Order periods of time including days of the week and months of the year

Second grade math curriculum should rely on many learning tools – lessons with interactive activities, printable worksheets, reinforcement exercises, assessments and math strands.

The major math strands for a second grade curriculum are number sense and operations, algebraic thinking, geometrical figures and objects, measurement of length, weight, capacity, time, and temperature, and data analysis and probability. While these math strands might surprise you, they cover the basics of what a second grader should learn in math.

• Demonstrate the associative, commutative and zero property of addition
Develop computational fluency in addition and subtraction
• Add three two-digit numbers, as well as two- and three-digit numbers with no regrouping
• Subtract two- and three-digit numbers with regrouping, as well as a one-digit number from a two-digit number with regrouping
• Subtract two two-digit numbers with regrouping as well as two- or three-digit numbers with regrouping

Fractions

• Separate regions into parts using halves, thirds and fourths
• Read, shade and write fractional parts of a region and group

Numbers

• Count and write by 3s and 4s
• Write a numeral in hundreds, tens and ones when given an illustration
• Write numbers in short sequence from any point through 999
• Write and match word names to numerals to the thousands
• Understand the concept of equivalence

Geometry

• Identify figures with line symmetry, characteristics of plane figures (sides and corners) and congruent figures
• Name solid figures: the cube, cylinder, cone, rectangular prism

Graphing

• Collect data and create a bar graph
• Solve simple word problems based on data from picture and bar graphs

Measurement

• Length using centimeters and inches
• Capacity using liters, cups and pints
• Temperature in degrees Fahrenheit

Multiplication and Division

• Multiplication and division using concrete objects and pictorial representation
• Division facts are related to multiplication facts

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic pictures, charts and tables
• Identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations

Time and Money

• Identify the value of half-dollar and dollar coins
• Combine and identify the value of a coin collection up to \$5.00
• Make change to \$1.00 by subtraction
• Tell time to the quarter-hour
• Identify time relationships including minutes in an hour, hours in a day, days in a week and weeks in a year
• Tell time to the nearest five minutes

Odd and even numbers

• The number and written word for ordinal numbers
• The value of each digit for numbers through 999
• The greater or lesser of two numerals from 1 to 999

• Demonstrate the associative, commutative and zero property of addition
Develop computational fluency in addition and subtraction
• Add three two-digit numbers, as well as two- and three-digit numbers with no regrouping
• Subtract two- and three-digit numbers with regrouping, as well as a one-digit number from a two-digit number with regrouping
• Subtract two two-digit numbers with regrouping as well as two- or three-digit numbers with regrouping
Fractions

Fractions

• Separate regions into parts using halves, thirds and fourths
• Read, shade and write fractional parts of a region and group
Numbers

Numbers

• Count and write by 3s and 4s
• Write a numeral in hundreds, tens and ones when given an illustration
• Write numbers in short sequence from any point through 999
• Write and match word names to numerals to the thousands
• Understand the concept of equivalence
Geometry

Geometry

• Identify figures with line symmetry, characteristics of plane figures (sides and corners) and congruent figures
• Name solid figures: the cube, cylinder, cone, rectangular prism
Graphing

Graphing

• Collect data and create a bar graph
• Solve simple word problems based on data from picture and bar graphs
Measurement

Measurement

• Length using centimeters and inches
• Capacity using liters, cups and pints
• Temperature in degrees Fahrenheit
Multiplication & Division

Multiplication and Division

• Multiplication and division using concrete objects and pictorial representation
• Division facts are related to multiplication facts
Problem Solving

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic pictures, charts and tables
• Identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations
Time & Money

Time and Money

• Identify the value of half-dollar and dollar coins
• Combine and identify the value of a coin collection up to \$5.00
• Make change to \$1.00 by subtraction
• Tell time to the quarter-hour
• Identify time relationships including minutes in an hour, hours in a day, days in a week and weeks in a year
• Tell time to the nearest five minutes
Odd & Even Number

Odd and even numbers

• The number and written word for ordinal numbers
• The value of each digit for numbers through 999
• The greater or lesser of two numerals from 1 to 999

3rd graders are natural doers, always ready for exciting challenges. It’s natural to want to see your child carry that adventurous spirit into 3rd grade math, particularly if math just isn’t clicking with your child. Our 3rd grade math tutors make math engaging and exciting, not frustrating.

Area, Perimeter & Volume

• Find a perimeter of a figure using units
• Estimate and verify the area of a figure using square units by counting
• Develop concept of volume using unit cubes

Decimals

With our 3rd grade math tutoring, your child will learn how to model and write a decimal:

• For a shaded region representing tenths and/or wholes plus tenths
• For a shaded region representing hundredths

Relate fractions to decimals

• Add or subtract decimals to the hundredths place with the same number of decimal places

• Add two-, three- and four-digit numbers with regrouping
• Subtract a three- or four-digit number from a four-digit number with regrouping

Fractions

• Model and write numerical fractions
• Compare two fractions with like denominators using greater than, less than or equal to
• Compare two fractions with unlike denominators represented by shaded regions
• Find a fraction of a number
• Add fractions with like denominators
• Model and write a mixed number

Numbers

• Identify the place value of each digit through the hundred thousands
• Write numerals in expanded form through the hundred thousands
• Write or match word names to numerals through the hundred thousands
• Identify the greater or lesser of two numbers through 999,999
• Identify the numeral that comes before, between or after
• Order numbers from least to greatest and greatest to least
• Round two- and three-digit numbers to the nearest ten or hundred
• Complete simple number patterns including multiples

Geometry

• Identify point, lines, line segments, rays and angles
• Identify faces, edges and corners on solid figures
• Describe and identify right angles
• Recognize transformations of plane figures including slides, flips and turns

Graphing

• Using information from a bar graph
• Using information from a picture graph where symbols may represent more than one

Measurement

• Length to the nearest millimeter, centimeter, meter, inch, foot or yard
• Weight to the nearest gram, kilogram, ounce or pound
• Capacity to the nearest liter, cup, pint, quart or gallon

Multiplication and Division

• Master the multiplication facts 0-9
• Multiply a two- or three-digit number by a one-digit number with and without regrouping
• Identify the associative, commutative, identity and zero properties of multiplication
• Multiply a one- or two-digit number by two one-digit numbers
• Understand that division facts are related to multiplication facts
• Develop independence with division facts
• Divide a one-digit or two-digit number by a one-digit number with and without a remainder
• Divide a three-digit number by a one-digit number with no remainder

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Solve basic, one-step equations

Time and Money

• Combine and identify the value of a collection of coins and bills up to \$20.00
• Compute and count change up to and including \$5.00
• Round monetary amounts to the nearest single coin or bill up to \$20.00
• Compute simple conversions using units of time including seconds, minutes, hours, days, weeks, months and years
• Tell time to the nearest minute
Area, Perimeter & Volume

Area, Perimeter & Volume

• Find a perimeter of a figure using units
• Estimate and verify the area of a figure using square units by counting
• Develop concept of volume using unit cubes
Decimals

Decimals

With our 3rd grade math tutoring, your child will learn how to model and write a decimal:

• For a shaded region representing tenths and/or wholes plus tenths
• For a shaded region representing hundredths

Relate fractions to decimals

• Add or subtract decimals to the hundredths place with the same number of decimal places

• Add two-, three- and four-digit numbers with regrouping
• Subtract a three- or four-digit number from a four-digit number with regrouping
Fractions

Fractions

• Model and write numerical fractions
• Compare two fractions with like denominators using greater than, less than or equal to
• Compare two fractions with unlike denominators represented by shaded regions
• Find a fraction of a number
• Add fractions with like denominators
• Model and write a mixed number
Numbers

Numbers

• Identify the place value of each digit through the hundred thousands
• Write numerals in expanded form through the hundred thousands
• Write or match word names to numerals through the hundred thousands
• Identify the greater or lesser of two numbers through 999,999
• Identify the numeral that comes before, between or after
• Order numbers from least to greatest and greatest to least
• Round two- and three-digit numbers to the nearest ten or hundred
• Complete simple number patterns including multiples
Geometry

Geometry

• Identify point, lines, line segments, rays and angles
• Identify faces, edges and corners on solid figures
• Describe and identify right angles
• Recognize transformations of plane figures including slides, flips and turns
Graphing

Graphing

• Using information from a bar graph
• Using information from a picture graph where symbols may represent more than one
Measurement

Measurement

• Length to the nearest millimeter, centimeter, meter, inch, foot or yard
• Weight to the nearest gram, kilogram, ounce or pound
• Capacity to the nearest liter, cup, pint, quart or gallon
Multiplication & Division

Multiplication and Division

• Master the multiplication facts 0-9
• Multiply a two- or three-digit number by a one-digit number with and without regrouping
• Identify the associative, commutative, identity and zero properties of multiplication
• Multiply a one- or two-digit number by two one-digit numbers
• Understand that division facts are related to multiplication facts
• Develop independence with division facts
• Divide a one-digit or two-digit number by a one-digit number with and without a remainder
• Divide a three-digit number by a one-digit number with no remainder
Problem Solving

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Solve basic, one-step equations
Time & Money

Time and Money

• Combine and identify the value of a collection of coins and bills up to \$20.00
• Compute and count change up to and including \$5.00
• Round monetary amounts to the nearest single coin or bill up to \$20.00
• Compute simple conversions using units of time including seconds, minutes, hours, days, weeks, months and years
• Tell time to the nearest minute

When your 4th grader brings home a backpack (or computer) filled with textbooks, it’s a not-so-subtle reminder your child is working his or her way towards middle school. Every math lesson in 4th grade builds on the next, so helping your child keep up or get ahead is a great investment. Our 4th grade math tutors use your child’s personal learning plan and the coolest digital tools to accelerate your child’s skill mastery and do what we do best — inspire success!

• Add two or more multi-digit numbers with regrouping
• Subtract multi-digit numbers with regrouping
• Use estimation strategies for addition and subtraction

Fractions

• Write equivalent fractions using pictorial representation
• Subtract fractions with like denominators
• Write improper fractions using pictorial representation
• Add and subtract fractions with like denominators
• Change improper fractions to mixed numbers
• Compare and order simple fractions and mixed numbers

Geometry

• Identify lines, rays, line segments and planes
• Identify polygons: triangle, quadrilateral, pentagon, hexagon and octagon
• Identify quadrilaterals: square, rectangle, parallelogram, trapezoid and rhombus
• Identify right, obtuse, and acute angles and label vertex and sides
• Identify intersecting, parallel and perpendicular lines
• Identify congruent figures, angles and line segments

Graphing

• Construct and interpret line graphs
• Solve multistep word problems with picture graphs, bar graphs or line graphs

Multiplication and Division

• Use a rounding strategy for multiplication and division
• Multiply a multi-digit number by a one-digit number; and a two- or three-digit number by a two-digit number with and without regrouping
• Divide a two-, three-, or 4-digit number by a one-digit number with or without a remainder; and a two-digit number by a two-digit number with or without a remainder
• Place zeros accurately in a quotient
• Use multiplication as a check for division

Measurement

• The length and weight of an object to the nearest metric and customary measure
• The capacity of a container using metric and customary measure
• Your child also will learn how to read a Fahrenheit or Celsius thermometer to the nearest degree.

Numbers

• Identify the place value and value of each digit in numerals through the millions
• Write numerals in expanded form through the millions
• Write or match word names to numerals through the millions
• Identify the greater or lesser of two numbers through the millions
• Round four- and five-digit numbers to the nearest ten, hundred, thousand or ten thousand
• Identify the value of Roman numerals using I, V and X

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations
• Solve problems using a given formula

Time and Money

• Compute and count change up to and including \$100.00
• Round monetary amounts to the nearest \$10.00, \$100.00, or \$1,000.00
• Determine elapsed clock time using addition and subtraction with no renaming
• Determine elapsed clock time using any operation with renaming

Decimals

• Understand the place value and identify the value of each digit for decimals to the hundredths place
• Read and write decimals to the hundredths place
• Identify the greater or lesser of two decimals
• Compare and order decimals to the hundredths place
• Write the decimal equivalent of a fraction with a denominator of 100
• Round decimals to the nearest whole number
• Add and subtract decimals to the hundredths place

Area, Perimeter & Volume

• Find the perimeter of a polygon with five or fewer sides
• Find the area of irregular shapes using square units
• Find the area of a rectangle by multiplying
• Find the volume of a figure using cubic units

• Add two or more multi-digit numbers with regrouping
• Subtract multi-digit numbers with regrouping
• Use estimation strategies for addition and subtraction
Fractions

Fractions

• Write equivalent fractions using pictorial representation
• Subtract fractions with like denominators
• Write improper fractions using pictorial representation
• Add and subtract fractions with like denominators
• Change improper fractions to mixed numbers
• Compare and order simple fractions and mixed numbers
Geometry

Geometry

• Identify lines, rays, line segments and planes
• Identify polygons: triangle, quadrilateral, pentagon, hexagon and octagon
• Identify quadrilaterals: square, rectangle, parallelogram, trapezoid and rhombus
• Identify right, obtuse, and acute angles and label vertex and sides
• Identify intersecting, parallel and perpendicular lines
• Identify congruent figures, angles and line segments
Graphing

Graphing

• Construct and interpret line graphs
• Solve multistep word problems with picture graphs, bar graphs or line graphs
Multiplication & Division

Multiplication and Division

• Use a rounding strategy for multiplication and division
• Multiply a multi-digit number by a one-digit number; and a two- or three-digit number by a two-digit number with and without regrouping
• Divide a two-, three-, or 4-digit number by a one-digit number with or without a remainder; and a two-digit number by a two-digit number with or without a remainder
• Place zeros accurately in a quotient
• Use multiplication as a check for division
Measurement

Measurement

• The length and weight of an object to the nearest metric and customary measure
• The capacity of a container using metric and customary measure
• Your child also will learn how to read a Fahrenheit or Celsius thermometer to the nearest degree.
Numbers

Numbers

• Identify the place value and value of each digit in numerals through the millions
• Write numerals in expanded form through the millions
• Write or match word names to numerals through the millions
• Identify the greater or lesser of two numbers through the millions
• Round four- and five-digit numbers to the nearest ten, hundred, thousand or ten thousand
• Identify the value of Roman numerals using I, V and X
Problem Solving

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations
• Solve problems using a given formula
Time & Money

Time and Money

• Compute and count change up to and including \$100.00
• Round monetary amounts to the nearest \$10.00, \$100.00, or \$1,000.00
• Determine elapsed clock time using addition and subtraction with no renaming
• Determine elapsed clock time using any operation with renaming
Decimals

Decimals

• Understand the place value and identify the value of each digit for decimals to the hundredths place
• Read and write decimals to the hundredths place
• Identify the greater or lesser of two decimals
• Compare and order decimals to the hundredths place
• Write the decimal equivalent of a fraction with a denominator of 100
• Round decimals to the nearest whole number
• Add and subtract decimals to the hundredths place
Area, Perimeter & Volume

Area, Perimeter & Volume

• Find the perimeter of a polygon with five or fewer sides
• Find the area of irregular shapes using square units
• Find the area of a rectangle by multiplying
• Find the volume of a figure using cubic units

In 5th grade, math curriculum picks up speed, and it’s natural to wonder, “How can I make sure my child keeps up or gets ahead?” Our 5th grade math tutors know the local math curriculum inside and out, so the 5th grade math skills we teach at Sylvan lead to success in the classroom (and beyond). We adjust your child’s lessons to match his or her pace and skill level, so learning stays a fun challenge and is never frustrating. The result? You have a 5th grader who feels confident, ready and excited for the opportunities ahead.

• Add and subtract multi-digit numbers without using a calculator
• Subtract multi-digit numbers without using a calculator

Fractions

• Express a fraction in lowest terms
• Add or subtract fractions with like denominators
• Find the least common denominator for a pair of fractions
• Find equivalent fractions using multiples and factors
• Compare and order fractions and mixed numbers
• Add and subtract fractions having unlike denominators
• Express mixed numbers as improper fractions and improper fractions as mixed numbers
• Add and subtract mixed numbers with like denominators and unlike denominators
• Add and subtract whole numbers, fractions and mixed numbers

Your child will also learn how to multiply:

• A fraction by a fraction
• A whole number by a fraction
• Mixed numbers

Geometry

• Identify the center, radius, diameter and circumference of a circle
• Construct a circle with a given radius
• Measure angles using a protractor

Graphing

• Construct and solve word problems involving line graphs and bar graphs
• Draw circle graphs and solve related word problems

Multiplication and Division

• Identify and use the inverse operation for multiplication
• Use the distributive property to find products
• Identify and use the rules of divisibility for 2, 3, 4, 5, 6, 8, 9, and 10

Your child also will learn how to multiply:

• A three- or four-digit number by a two- or three-digit number with zeros
• Multi-digit numbers using a calculator
• By multiples of 10 and 100 without a calculator

Your child also will learn how to divide:

• A three-digit number by a multiple of 10
• A three-digit number by a two-digit number with no zeros in the divisor
• A four-digit number by a two-digit number

Measurement

• Linear metric units, including related addition or subtraction problems
• Metric units of capacity, including related addition or subtraction problems
• Metric units of mass
• Customary linear units, units of capacity, and units of mass
• Your child will also select the appropriate unit of measure for length, area, and mass.

Numbers

• Identify the place value and value of each digit in numerals through the billions
• Compare and order numbers through the billions
• Round to the nearest millions and billions
• Use estimation strategy of compatible numbers and computational strategy of compensations
• List the prime and composite numbers less than 50
• List the factors of two whole numbers each of which is less than 100
• Find the least common multiple of two whole numbers
• Write roman numerals through 2,000
• Complete a complex picture or number pattern

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations
• Solve problems using a given formula

Time and Money

• Compute basic operations with units of time including the basic concept of time zones

Decimals

• Identify the place value for decimals for tenths, hundredths, and thousandths
• Write the word name for a decimal and vice versa
Order decimals to the thousandths
• Write the decimal equivalent of a fraction with a denominator of 1,000
• Round decimals to the nearest whole number, tenth, or hundredth
• Add decimals to the thousandths with and without regrouping
• Your child also will learn how to multiply:
• A decimal by a whole number; by multiples of 10, 100, and 1,000; and by a decimal
• A whole number by a fraction
• Mixed numbers

Area, Perimeter & Volume

• Find the perimeter, area, and volume of a square or rectangle using formulas

• Add and subtract multi-digit numbers without using a calculator
• Subtract multi-digit numbers without using a calculator
Fractions

Fractions

• Express a fraction in lowest terms
• Add or subtract fractions with like denominators
• Find the least common denominator for a pair of fractions
• Find equivalent fractions using multiples and factors
• Compare and order fractions and mixed numbers
• Add and subtract fractions having unlike denominators
• Express mixed numbers as improper fractions and improper fractions as mixed numbers
• Add and subtract mixed numbers with like denominators and unlike denominators
• Add and subtract whole numbers, fractions and mixed numbers

Your child will also learn how to multiply:

• A fraction by a fraction
• A whole number by a fraction
• Mixed numbers
Geometry

Geometry

• Identify the center, radius, diameter and circumference of a circle
• Construct a circle with a given radius
• Measure angles using a protractor
Graphing

Graphing

• Construct and solve word problems involving line graphs and bar graphs
• Draw circle graphs and solve related word problems
Multiplication & Division

Multiplication and Division

• Identify and use the inverse operation for multiplication
• Use the distributive property to find products
• Identify and use the rules of divisibility for 2, 3, 4, 5, 6, 8, 9, and 10

Your child also will learn how to multiply:

• A three- or four-digit number by a two- or three-digit number with zeros
• Multi-digit numbers using a calculator
• By multiples of 10 and 100 without a calculator

Your child also will learn how to divide:

• A three-digit number by a multiple of 10
• A three-digit number by a two-digit number with no zeros in the divisor
• A four-digit number by a two-digit number
Measurement

Measurement

• Linear metric units, including related addition or subtraction problems
• Metric units of capacity, including related addition or subtraction problems
• Metric units of mass
• Customary linear units, units of capacity, and units of mass
• Your child will also select the appropriate unit of measure for length, area, and mass.
Numbers

Numbers

• Identify the place value and value of each digit in numerals through the billions
• Compare and order numbers through the billions
• Round to the nearest millions and billions
• Use estimation strategy of compatible numbers and computational strategy of compensations
• List the prime and composite numbers less than 50
• List the factors of two whole numbers each of which is less than 100
• Find the least common multiple of two whole numbers
• Write roman numerals through 2,000
• Complete a complex picture or number pattern
Problem Solving

Problem Solving

• Select the appropriate operation and strategy to solve word problems
• Solve problems using basic graphs, charts and tables
• Learn how to identify relevant and irrelevant information in a word problem
• Begin to solve basic, one-step equations
• Solve problems using a given formula
Time & Money

Time and Money

• Compute basic operations with units of time including the basic concept of time zones
Decimals

Decimals

• Identify the place value for decimals for tenths, hundredths, and thousandths
• Write the word name for a decimal and vice versa
Order decimals to the thousandths
• Write the decimal equivalent of a fraction with a denominator of 1,000
• Round decimals to the nearest whole number, tenth, or hundredth
• Add decimals to the thousandths with and without regrouping
• Your child also will learn how to multiply:
• A decimal by a whole number; by multiples of 10, 100, and 1,000; and by a decimal
• A whole number by a fraction
• Mixed numbers
Area, Perimeter & Volume

Area, Perimeter & Volume

• Find the perimeter, area, and volume of a square or rectangle using formulas

• Multiply and divide multi-digit numbers
• Use estimation to solve problems involving mixed numbers
• Add and subtract positive and negative integers
• Evaluate numerical expressions using the order of operations
• Solve algebraic equations with one variable using addition and subtraction
• Select the appropriate unit of measure for length, area, mass and volume
• Begin to explore concepts of area, perimeter and volume
• Choose an appropriate strategy for solving one- and two-step word problems

Algebra

• Translate a phrase into numerical or algebraic expression
• Write an equation to represent a given situation
• Solve an equation that contains one variable
• Construct an input-output table from an equation
• Write an equation from an input-output table
• Graph points from positive input-output values in a table

Geometry

• Identify similar figures
• Analyze solid figures and circles
• Classify polygons by sides and angles, as well as supplementary and complementary angles

Integers

• Understand the meaning of integers
• Order a set of integers
• Identify the greater or lesser of two integers as well as the absolute value of integers
• Add integers with like and unlike signs as well as several integers together
• Subtract integers with both a positive and negative integer

Probability & Statistics

• Use a tree diagram to determine the number of possible outcomes on an event
• Determine the probability of independent events
Interpret a stem and leaf plot

Problem Solving

• Write and solve equations using ratios in word problems
• Solve one and two step word problems
• Determine the discount price and sales price
• Choose and use an appropriate problem-solving strategy

• Multiply and divide multi-digit numbers
• Use estimation to solve problems involving mixed numbers
• Add and subtract positive and negative integers
• Evaluate numerical expressions using the order of operations
• Solve algebraic equations with one variable using addition and subtraction
• Select the appropriate unit of measure for length, area, mass and volume
• Begin to explore concepts of area, perimeter and volume
• Choose an appropriate strategy for solving one- and two-step word problems
Algebra

Algebra

• Translate a phrase into numerical or algebraic expression
• Write an equation to represent a given situation
• Solve an equation that contains one variable
• Construct an input-output table from an equation
• Write an equation from an input-output table
• Graph points from positive input-output values in a table
Geometry

Geometry

• Identify similar figures
• Analyze solid figures and circles
• Classify polygons by sides and angles, as well as supplementary and complementary angles
Integers

Integers

• Understand the meaning of integers
• Order a set of integers
• Identify the greater or lesser of two integers as well as the absolute value of integers
• Add integers with like and unlike signs as well as several integers together
• Subtract integers with both a positive and negative integer
Probability & Statistics

Probability & Statistics

• Use a tree diagram to determine the number of possible outcomes on an event
• Determine the probability of independent events
Interpret a stem and leaf plot
Problem Solving

Problem Solving

• Write and solve equations using ratios in word problems
• Solve one and two step word problems
• Determine the discount price and sales price
• Choose and use an appropriate problem-solving strategy

## HOMEWORK ASSISTANCE

Numbers Evolution brings personalized tutoring services to you on your schedule. No need to waste time going to group centers. Our dedicated and qualified math tutors will design a program for your student based on their needs and school’s curriculum, not a pre-determined program that may not relate at all to what your student is working on in school or trouble areas. Numbers Evolution will also work with your student’s math teacher to be sure your child is on the right track.

## SUMMER PROGRAM

Summer is the perfect time to catch up or get ahead on math skills! Numbers Evolution’s summer math program is designed to prevent summer learning loss and will give your child the math skills needed to succeed in their upcoming school year.