NYCDOE-APPROVED VENDOR | MATH TUTORING FOR NEW YORK SCHOOLS AND DISTRICTS
Tier 3 live one-on-one math tutoring in New York
NGMLS-aligned lessons
2x expected math growth
Flexible scheduling for your school
Intensively-trained STEM specialist tutors
Approved NYC DOE vendor
“Before our testing season last year, we still had lots of gaps in student understanding and not enough time or resources to fill them all. Now, we have 24 tutors working one-on-one with students at once. We would never have the amount of resources to be able to do that in house. Out of all the students taking part, everyone’s scores have increased!”
Liz Avery, Math Instructional Coach
Renaissance Academy Charter School of the Arts, New York
New York scope and sequence
Whether you have students who would benefit from more opportunities to practice grade level content ahead of NYSA, or who have existing gaps from previous grades, there’s a program to suit their needs.
Click on the program name to view the full scope and sequence.
Whether you have students who would benefit from more opportunities to practice grade level content ahead of NYSA, or who have existing gaps from previous grades, there’s a program to suit their needs.
Click on the program name to view the full scope and sequence.
1st Grade Program
Best for: Students with gaps from 1st grade
Programme goal: Master 1st grade standards
1st Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Solving word problems: result unknown
Solving word problems: change unknown
Solving word problems: start unknown
Solving word problems: total unknown
Solving word problems: addend unknown
Solving word problems: both addends unknown
Solving word problems: difference unknown
Solving word problems: bigger unknown
Solving word problems: smaller unknown
Two-step word problems within 20
Solving word problems: adding multiple numbers
Using properties to add
Adding and subtracting with counting
Making 10 to add or subtract
Using the relationship between addition and subtraction
Understanding the equal sign
Counting within 120
Read and write numbers to 100 using base-ten numerals, number names and expanded form
Understanding a number as tens and ones
Comparing two-digit numbers
Strategies to add within 100
Strategies for adding 2-digit numbers
Adding and subtracting tens
Subtracting with exchanging within 100
Telling the time to hours and half-hours
Representing data
Shape attributes
Partitioning circles and rectangles
About this program
Lessons focus on securing 1st grade standards to enable students to successfully move on to 2nd grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
2nd Grade Program
Best for: Students with gaps from 2nd grade
Programme goal: Master 2nd grade standards
2nd Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Solving two-step word problems involving unknowns in situations
Adding within 20 using mental strategies
Subtracting within 20 using mental strategies
Even and odd numbers using visuals
Using arrays to show grouping
Understanding that a three-digit number represents hundreds, tens, and ones
Knowing that 10 tens are equal to 100
Counting within 1,000
Skip counting by 5s, 10s and 100s
Read and write numbers to 1,000
Comparing two 3-digit numbers
Adding 2-digit numbers
Subtracting 2-digit numbers
Adding strings of 2-digit numbers
Adding within 1,000 using models and drawings
Subtracting within 1,000 using models and drawings
Adding within 1,000 using number lines
Subtracting within 1,000 using number lines
Adding and subtracting 10s and 100s
Understanding units of measurement for length
Measuring objects using different length units
Comparing the lengths of objects
Solving problems related to length
Representing length on a number line
Telling and writing time to nearest 5 minute
Solving problems involving money
Drawing line plots with measurement data
Solving problems including picture graphs
Solving problems including bar graphs
Understanding shapes and their attributes
Partitioning rectangles into rows and columns
Partitioning shapes into equal shares
About this program
Lessons focus on securing 2nd grade standards to enable students to successfully move on to 3rd grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
3rd Grade Program
Best for: Students with gaps from 3rd grade
Programme goal: Master 3rd grade standards
3rd Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Interpreting products of whole numbers
Interpreting quotients of whole numbers
Multiplying using arrays and the area model
Using arrays to solve word problems involving multiplication or division
Solving word problems involving multiplication or division within 100
Using pictures to show the inverse
Finding missing numbers using the inverse
Using the commutative property to multiply
Using the associative property to multiply
Using the distributive property to multiply
Using doubling and halving to find multiplication facts
Using known facts to solve other multiplication facts
Using multiplication and division facts up to 12 x 12
Two-step word problems: addition and subtraction
Two-step word problems using all four operations
Assess reasonableness of answers
Identify arithmetic patterns
Rounding whole numbers to the nearest 10
Rounding whole numbers to the nearest 100
Adding whole numbers within 1,000
Adding whole numbers within 1000 using strategies based on place value
Subtracting whole numbers within 1000 using strategies based on place value
Subtracting whole numbers within 1,000
Multiplying whole numbers by multiples of 10
Understanding fractions as parts of a whole
Understanding fractions on a number line
Understanding equivalent fractions
Recognizing and making equivalent fractions
Comparing two fractions with the same numerator
Comparing two fractions with the same denominator
Writing and telling time to nearest minute
Measuring time intervals in minutes
Solving word problems involving time intervals
Solving problems involving liquid volume and mass
Solving word problems based on bar graphs
Solving word problems based on picture graphs
Measuring lengths using rulers marked with halves and fourths
Creating line plots to represent data
Measuring area by counting unit squares
Multiplying to find area
Finding area of rectilinear figures
Solving problems involving perimeters of polygons
Reasoning with shapes and their attributes
Partition shapes into parts with equal areas
About this program
Lessons focus on securing 3rd grade standards to enable students to successfully move on to 4th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
4th Grade Program
Best for: Students with gaps from 4th grade
Programme goal: Master 4th grade standards
4th Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Multiplicative comparisons using bar models
Multiplication & Division word problems involving comparisons
Solving multiplication and division word problems
Multi-step multiplication and division word problems
Interpreting remainders
Multi-step addition and subtraction word problems
Multi-step word problems involving all operations
Estimating Solutions involving all four operations
Justifying answers using estimation
Finding Common Multiples
Finding Common Factors and Factor Pairs
Prime and composite numbers
Number patterns
Geometric patterns
Understanding place value relationships in multi-digit numbers
Reading and writing numbers in numeral, word, and expanded forms
Comparing numbers up to 1,000,000
Rounding multi-digit numbers to any place
Adding 4-digit numbers using the standard algorithm
Adding large numbers using the standard algorithm
Subtracting 4-digit numbers using the standard algorithm
Subtracting large numbers using the standard algorithm
Multiplying 2-digit numbers using the area model
Multiplying 2-digit numbers using the partial product method
Multiplying up to 3-digits using the partial product method
Multiplying up to 4-digits using the partial product method
Using mental strategies to divide
Multiplying and dividing mentally
Dividing using partitioning
Dividing 2-digit numbers using the area model
Dividing using the partial quotient method
Dividing using the partial quotient method with remainders
Recognizing equivalent fractions
Generating equivalent fractions
Comparing fractions using benchmark fractions
Comparing fractions using common denominators
Comparing fractions using common numerators
Composing and decomposing using unit fractions with like denominators
Understanding adding and subtracting fractions with like denominators
Decomposing fractions less than 1
Decomposing fractions and mixed numbers greater than 1
Adding and subtracting fractions with like denominators less than 1
Adding and subtracting fractions and mixed numbers with like denominators.
Converting mixed numbers and improper fractions
Word problems involving adding and subtracting of fractions with like denominators
Word problems involving adding and subtracting of mixed numbers with like denominators
Understanding multiplication of a whole number by a unit fraction
Understanding multiplication of a whole number by a non-unit fraction
Solving word problems involving multiplication of a whole by fraction
Finding equivalent fractions with denominators 10 and 100
Adding fractions with unlike denominators 10 & 100
Decimal notation for fractions with denominators of 10
Decimal notation for fractions with denominators of 100
Locating fractions and decimals on a number line
Comparing two decimals to the hundredths place
Identifying acute, right, and obtuse angles
Identifying parallel and perpendicular lines
Drawing lines and angles
Classifying quadrilaterals
Classifying triangles
Recognize lines of symmetry
Customary measurement conversions
Metric measurement conversions
Solving problems involving measurement
Finding the missing side length
Solving problems with area and perimeter
Composite area with missing sides
About this program
Lessons focus on securing 4th grade standards to enable students to successfully move on to 5th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
5th Grade Program
Best for: Students with gaps from 5th grade
Programme goal: Master 5th grade standards
5th Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Expressions involving parentheses
Evaluating expressions using the order of operations
Interpreting expressions without solving them
Generating numerical patterns given two rules in a real-world situation
Identifying, recording and graphing ordered pairs
Interpreting data using coordinate plane
Reading and writing decimals in numeral, word, and expanded forms
Reading and writing decimals to the thousandths place
Comparing decimals to the hundredths place
Comparing and ordering decimals to the thousandths place
Rounding numbers to the nearest tenth
Rounding numbers to the nearest hundredth
Understanding place value relationships in multi-digit numbers
Multiplying and dividing whole numbers and decimals by 10 and 100
Multiplying and dividing whole numbers and decimals by powers of 10
Finding number pairs that equal 1
Adding and subtracting decimals using known facts
Adding and subtracting tenths and hundredths
Using mental methods to add and subtract whole numbers and decimals
Adding decimals using the standard algorithm
Adding whole numbers and decimals using the standard algorithm
Subtracting whole numbers and decimals using the standard algorithm
Multiplying and dividing decimals using known facts
Multiplying using the partial product method
Multiplying using the standard algorithm
Multiplying whole numbers using the standard algorithm
Dividing using the partial quotient method
Solving problems involving remainders
Solving mixed multiplication and division problems
Finding like denominators to add and subtract fractions
Adding and subtracting fractions with unlike denominators
Adding mixed numbers
Subtracting mixed numbers
Solving word problems involving adding and subtracting fractions with unlike denominators
Using benchmark fractions to estimate and assess reasonableness
Remainders as fractions
Solving word problems with answers as fractions
Finding fractions of a whole number
Multiplying a fraction by a fraction
Multiplying a fraction by a mixed number
Representing fraction products as rectangular areas
Interpreting multiplication as scaling
Solving word problems involving multiplication of fractions and mixed numbers
Solving word problems involving division of a unit fraction by a whole number
Solving word problems involving division of a whole number by a unit fraction
Converting metric units
Converting customary units
Solve problems from a line plot
Finding volume of rectangular prisms
Finding volume of composite shapes
Graphing points on a coordinate plane
Solving problems with points on a coordinate plane
About this program
Lessons focus on securing 5th grade standards to enable students to successfully move on to 6th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
6th Grade Program
Best for: Students with gaps from 6th grade
Programme goal: Master 6th grade standards
6th Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Defining and writing ratios
Writing and defining rate and unit rate
Comparing ratios to solve problems
Solving unit rate problems
Using tape diagrams and double number lines ratios
Solving percent problems
Using tables to compare ratios
Converting percents to fractions and decimals
Interpreting quotients of fractions (models)
Finding quotients of fractions using the algorithm
Using the algorithm for division
Adding and subtracting decimals with the algorithm
Multiplying decimals with the algorithm
Dividing decimals with the algorithm
Using models to understand the algorithm
Estimating solutions
Finding GCF of two whole numbers less than or equal to 100
Finding the LCM of two whole numbers less than or equal to 12
Rewriting numerical expressions using distributive property
Interpreting a number and its opposite through real world application
Representing and interpreting rational numbers on the number line
Writing comparison statements for rational numbers
Identifying and interpreting absolute value of rational numbers
Graphing ordered pairs on the coordinate plane
Writing and evaluating expressions with exponents
Reading and writing algebraic expressions
Evaluating algebraic expressions
Identifying and creating equivalent expressions
Using the distributive property
Combining like terms
Interpreting and writing equations
Solving one-step equations
Interpreting and writing inequalities
Solving one-step inequalities
Modeling to solve equations
Using number line to solve equations and inequalities
Identifying and analyzing independent and dependent variables
Using tables to analyze independent and dependent variables
Using graphs to analyze independent and dependent variables
Finding area of triangles
Finding area of quadrilaterals and triangles on the coordinate plane
Finding area of quadrilaterals by decomposing into triangles and rectangles
Finding volume of rectangular prisms with fractional edges
Finding the surface area of prisms and pyramids
Visualizing surface area through nets
Defining and writing statistical questions
Describing the center and spread of dot plot
Calculating mean and median
Creating box plots
Interpreting box plots
Interpreting histograms
Creating histograms
About this program
Lessons focus on securing 6th grade standards to enable students to successfully move on to 7th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
7th Grade Program
Best for: Students with gaps from 7th grade
Programme goal: Master 7th grade standards
7th Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Calculating unit rates with fractions
Understanding proportional relationships
Finding the constant of proportionality in tables
Representing proportions with equations
Understanding graphs of proportional relationships
Solving percent of change problems
Solving multi-step proportion problems
Interpreting quantities that combine to zero
Adding integers using number lines
Subtracting integers using integer addition understanding
Adding rational numbers
Subtracting rational numbers
Understanding multiplying by a negative integer using a number line
Applying integer multiplication rules
Understanding integer division by using integer chips
Applying integer division rules
Multiplying rational numbers
Dividing rational numbers
Converting fractions to decimals
Adding and subtracting rational numbers with word problems
Multiplying and dividing rational numbers with word problems
Adding and subtracting linear expressions
Factoring linear expressions
Expanding linear expressions
Identifying equivalent linear expressions
Evaluating numerical expressions involving positive and negative rational numbers
Solving two-step equations
Solving two-step word problems
Comparing solutions
Solving and graphing two-step inequalities
Solving word problems with two-step inequalities
Scaling drawings of polygons
Evaluating changes in scale with perimeter and area related to scale factor
Constructing triangles
Describing cross sections of three-dimensional figures
Understanding measurements of a circle
Using formulas to solve problems with circles
Solving word problems with circles
Solving problems using angle relationships
Evaluating areas of composite shapes
Calculating volume of right prisms and pyramids
Solving real world problems with areas of polygons
Solving real world problems with volume and surface area
Understanding random sampling
Drawing inferences with sample simulations
Informally comparing graphical representations of two populations
Understanding probability of a chance event
Understanding probability through relative frequency
Calculating the theoretical probability of a simple event
Using experimental probability models for unfair events
Creating the sample space of compound events
Finding the probability of a compound event
Creating and using a simulation to generate estimations for compound events
About this program
Lessons focus on securing 7th grade standards to enable students to successfully move on to 8th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
8th Grade Program
Best for: Students with gaps from 8th grade
Programme goal: Master 8th grade standards
8th Grade Program
Learning objectives covered in this program:
Third Space Learning lessons are available for all state standards and for Common Core.
Identifying rational and irrational numbers
Approximating the value of irrational numbers
Solving with square roots and cubes
Understanding the properties of integer exponents for multiplication and division
Using properties of integers exponents with negative exponents
Understanding properties of integer exponents raised to another exponent
Understanding scientific notation
Multiplying and dividing with scientific notation
Understanding slope of proportional relationships in graphs and tables
Comparing representations of proportional relationships
Deriving the equations y = mx and y = mx + b
Solving linear equations with rational coefficients in one variable
Graphing to solve systems of linear equations
Solving systems of linear equations algebraically
Solving real world problems with systems of linear equations
Identifying functions
Comparing two functions
Identifying linear functions
Constructing an equation to model a linear function using coordinates
Describing the behavior of a function by analyzing its graph
Interpreting the context of a function by analyzing its graph
Understanding translations
Understanding reflections
Understanding rotations
Understanding dilations
Understanding compositions of transformations
Using transformations to test for congruence and similarity
Finding angles formed by parallel lines and a transversal
Finding interior and exterior angles of a triangle
Understanding the Pythagorean theorem
Understanding the converse of the Pythagorean theorem
Solving problems using the Pythagorean theorem
Using the Pythagorean theorem to calculate distance
Finding the surface area of cylinders, cones and spheres
Finding the volume of cylinders, cones and spheres
Constructing scatter plots for bivariate data and identifying the association
Informally fitting bivariate data with a line of best fit
Interpreting the line of best fit within a real world context
Reading two way tables and identifying variable percentages
Interpreting association in two way tables
About this program
Lessons focus on securing 8th grade standards to enable students to successfully move on to 9th grade.
How are lessons ordered?
The default order has been set by our academic team to align with your state standards. Schools can pick one of our alternative sequences to re-prioritize domains, or send us their assessment data for us to pick the most appropriate sequence.
Want to speak to our friendly team? Book a call.
Evidence-based lesson materials
Math tutors in New York use NGMLS-aligned lessons, developed by expert math teachers with years of teaching experience. Every lesson follows an ‘I do, you do, we do’ teaching style designed to improve student achievement and act as test prep for NYSA.
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2nd grade
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3rd grade
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4th grade
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5th grade
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6th grade
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7th grade
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8th grade
Knowing that 10 tens are equal to 100
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Subtracting whole numbers within 1,000
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Multiplying 2-digit numbers using the area model
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Multiplying and dividing whole numbers and decimals by powers of 10
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Using the algorithm for division
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Understanding proportional relationships
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
Identifying functions
Let’s learn
The first question introduces each concept and helps students feel ready to learn
Follow me + your turn
Students work through a scaffolded example with their tutor before trying a similar question on their own
You do
A carefully sequenced next question ensures students can apply knowledge to different contexts
Go further
This gives students an opportunity to apply their knowledge to problem solving and reasoning questions
See the lessons for yourself
Each Third Space Learning lesson has been created to scaffold content, allowing for review, direct instruction, guided practice, independent practice, and enrichment.
NYCDOE-approved Vendor
The New York City Department of Education has approved Third Space Learning as a vendor based on a variety of components:
Methodology and approach: lessons built by former math teachers and pedagogy experts
Evidence of experience: 170,000 students supported since 2013
High quality tutor training: tutors receive extensive training and ongoing PD to deliver effective and engaging instruction
High-quality instruction materials: all tutoring lessons and math resources are designed to help students develop deep conceptual understanding
Team and experience: Third Space Learning math specialist tutors have delivered over 2 million tutoring sessions
Proven to boost progress
Schools see results after just one lesson as students feel more secure with the concept they’ve been learning.
After just a few weeks, students make accelerated progress and report increased confidence in math.
Advancing equity in math
According to the New York State Comptroller’s Office, fourth-grade average math scores dropped 10 points between 2019 and 2022, equating to approximately 30 weeks of learning loss.
Third Space Learning helps schools provide crucial learning opportunities to combat this learning loss.
Scheduled sessions with full flexibility
Sessions are as flexible as your school day requires, easily fitting into math blocks or other available time slots.
You choose your preferred session length and frequency.
New York state funding for tutoring
The Foundation Aid Allocation for High-Impact Tutoring is earmarked for high-impact tutoring programs, designed to boost math proficiency.
Schools in New York state can utilize this funding to develop their math tutoring initiatives.
Request a demo for your school or district
Explore the online classroom, preview lessons aligned to your state’s standards and see for yourself why 4,000+ schools like yours have chosen high impact one-on-one math tutoring from Third Space Learning:
Proven to 2x math growth for every student
60% cheaper than the average cost of one-on-one tutoring
Scalable and easy-to-implement across multiple grade levels and schools
Flexible scheduling according to your school and district’s needs