The Ultimate NYSTCE Grades 1-6 Math (222) Course (+FREE Worksheets & Tests)
NYSTCE Grades 1-6 Math Study Course
The Ultimate NYSTCE Grades 1-6 Math (222) Course (+FREE Worksheets & Tests) brings the key topics into one organized review page, with lessons, worksheets, and practice links in one place.
Start here: This free lesson library supports review for NYSTCE Multi-Subject: Teachers of Childhood, Part Two: Mathematics (222). Use it with the official framework, printable topic practice, and written-response preparation. It is an independent study resource.
- Review calculations, representations, and the reasoning behind each method.
- Use the lesson links below to revisit weak skills.
- Open the hub’s free printable worksheet collection for topic practice.
- Practice explaining student thinking as well as finding answers.
Free NYSTCE Math practice tool
Use the tool below for an initial skills check. This is an unofficial practice activity, not an official 222 exam simulation. Its score display does not convert to an official NYSTCE score or predict passing. Add written-response preparation separately.
A practical review routine for teacher candidates
Start with a short set of mixed problems. For each error, record whether the issue was the calculation, the representation, the wording, or the explanation. Choose the next lesson from that record rather than repeating topics you already understand.
- Rebuild one weak skill. Read the lesson, work an example without looking, then explain why the method works.
- Practice on paper. Open the free NYSTCE topic worksheet collection. Choose a matching topic and check the title before printing.
- Explain student thinking. After solving a problem, describe a possible misconception and how a drawing, number line, or concrete model could clarify it.
- Return to mixed review. Revisit the skill in a different context and keep an error log. Increase the challenge when your reasoning is consistent.
For example, when reviewing fraction addition, explain why the parts need a common size before adding their counts. Connect the calculation to a visual model rather than memorizing a rule alone. This is a study habit, not a sample official exam question.
Use the official assessment framework to check content priorities and written-response expectations. The lesson groups below are a review library, not an assertion that every topic has equal test weight or that all official requirements are covered.
NYSTCE Math topic lesson library
Fractions and Decimals
- Simplifying Fractions
- Adding and Subtracting Fractions
- Multiplying and Dividing Fractions
- Adding Mixed Numbers
- Subtracting Mixed Numbers
- Multiplying and Dividing Mixed Numbers
- Dividing Mixed Numbers
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Comparing Decimals
- Rounding Decimals
- Factoring Numbers
- Greatest Common Factor
- Least Common Multiple
Real Numbers and Integers
- adding and Subtracting Integers
- Multiplying and Dividing Integers
- Order of Operations
- Ordering Integers and Numbers
- Integers and Absolute Value
Proportions, Ratios, and Percent
- Simplifying Ratios
- Proportional Ratios
- Similarity and Ratios
- Percentage Calculations
- Percent Problems
- Discount, Tax and Tip
- Percent of Increase and Decrease
- Simple Interest
Algebraic Expressions
- Simplifying Variable Expressions
- Simplifying Polynomial Expressions
- Translate Phrases into an Algebraic Statement
- The Distributive Property
- Evaluating One Variable Expressions
- Evaluating Two Variables Expressions
- Combining like Terms
Equations and Inequalities
- One-Step Equations
- Multi-Step Equations
- Graphing Single, Variable Inequalities
- One-Step Inequalities
- Multi-Step Inequalities
- Systems of Equations
Linear Functions
- Finding Slope
- Graphing Lines Using Standard From
- Graphing Lines Using Slope-Intercept From
- Writing Linear Equations
- Graphing Linear Inequalities
- Finding Midpoint
- Finding Distance of Two Points
Exponents and Radicals
- Multiplication Property of Exponents
- Division Property of Exponents
- Zero and Negative Exponents
- Powers of Products and Quotients
- Negative Exponents and Negative Bases
- Scientific Notation
- Radicals
Polynomials
- Writing Polynomials in Standard Form
- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying Monomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Operations with Polynomials
Geometry and Solid Figures
Statistics and Probability
- Mean, Median, Mode, and Range
- Histograms
- Pie Graph
- Probability Problems
- Combinations and Permutations
Functions
- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions
Choosing your next study resource
Use the free lessons and topic worksheets first to identify what you need. If you want a longer study sequence, visit the NYSTCE Grades 1–6 learning hub to compare the available resources and book options. Check the exact 222 audience, format, and preview on the product page before choosing.
Frequently Asked Questions
How long is the official math test, and what is its format?
Part Two (222) has 40 selected-response items and one constructed-response item, with 2 hours and 15 minutes of testing time.
What score is required, and is a calculator provided?
The official passing score is 520 for each part. A standard four-function calculator is provided on-screen for Mathematics.
How should I prepare for the written response?
Practice using student work as evidence: identify the mathematical idea, explain the reasoning or misconception, and propose a specific teaching response. Compare your practice with the guidance in the official preparation materials.
Where should I check registration and certification requirements?
Check the official NYSTCE test information and your certification program for the correct test parts and current policies. This page focuses on Mathematics 222 for Teachers of Childhood, Grades 1–6.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
- How to solve fraction word problems
- How to find the area of a triangle
- How to find percent of a number
- Order of operations (PEMDAS)
- How to use the Pythagorean theorem
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