Understanding the Common Core State Standards for Mathematics: A Parent's Guide

Many parents feel a sense of unease when it comes to maths. It's not uncommon to hear, "I was never good at maths," or "I don't understand this new way of doing things." The Common Core State Standards for Mathematics (CCSSM) may seem daunting, but they are designed to ensure that all children have the opportunity to develop a strong mathematical foundation. This guide aims to demystify the standards, explain their purpose, and offer ways you can support your child’s mathematical journey. 

What are the Common Core State Standards for Mathematics?

The Common Core State Standards (CCSS) for Mathematics were developed to provide a clear and consistent framework to prepare students for college and career success. These standards outline what students should know and be able to do at each grade level, ensuring a cohesive and rigorous math education across states. 

These standards are not a curriculum, but rather a guide for what should be taught. 

Why Were the Common Core Math Standards Created?

Before the Common Core, each state had its own set of math standards, leading to significant discrepancies in student learning and preparedness. The CCSS were designed to: 

  • Ensure that students across all states receive a high-quality math education, no matter where they live. 
  • Set higher expectations for math skills so students are more confident and capable in solving problems. 
  • Equip students with the math knowledge and critical thinking skills they need to succeed in college, careers, and everyday life. 

What does this mean for my child’s maths tests?

Some parents have expressed concerns about Common Core Math, often due to unfamiliar teaching methods. However, these methods are designed to deepen understanding and build a strong mathematical foundation.  

Test questions should reflect real-world applications and involve a degree of problem-solving, rather than just routine calculations. 

Standardized math tests such as the MAP Test, STAR Test, iReady Test, FastBridge Test, and ERB CTP Test commonly assess students' understanding of the CCSSM. 

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Additionally, all standardized state tests incorporate these standards to measure student proficiency and growth in mathematics. These assessments evaluate not just rote memorization but also conceptual understanding and problem-solving abilities. 

How can I support my child with maths at home?

  • Focus on understanding: Encourage your child to explain how they got an answer, and not just what the answer is. Ask them questions like, "Why did you do it that way?" or "Can you explain this to me in your own words?". 
  • Use real-world examples: Connect maths concepts to everyday situations, such as cooking, shopping, or building. This helps make maths more relevant and engaging for children. 
  • Encourage perseverance: Maths problems can be challenging, and that's okay. Teach your child to persevere, try different approaches, and learn from mistakes. 
  • Embrace different methods: Be open to different strategies your child might use, even if they aren’t the methods you're familiar with. The standards promote flexibility in problem-solving. 
  • Use available resources: There are many online and offline resources to support your children's math learning. TestPrep-Online has lots of resources that are aligned with the standards. 
  • Make it a positive experience: Approach maths with a positive attitude. Avoid saying things like, "I was never good at maths." Your attitude can influence your child's perception of maths. 

Specific areas of focus in different grade levels

The standards are organised by grade level and domain (or topic area). Here’s a breakdown of the key areas of focus for each level: 

  • Early Childhood (Kindergarten): Instructional time should focus on representing and operating on whole numbers, initially with sets of objects, and describing shapes and space, with more time devoted to number concepts. Students should use numbers to represent quantities and solve quantitative problems, including modelling simple joining and separating situations. Students will also begin to work with numbers 11–19 to gain foundations for place value. 
  • Grade 1: The focus is on developing an understanding of addition, subtraction, and related strategies. Students learn to represent and solve problems involving addition and subtraction and understand place value. They also learn to measure lengths and tell time. 
  • Grade 2: The emphasis is on extending understanding of base-ten notation and building fluency with addition and subtraction. Students work with multi-digit numbers up to 1000 and learn to measure lengths in standard units. They will also begin to explore the foundations of multiplication with equal groups of objects. 
  • Grade 3: Instruction focuses on developing an understanding of multiplication and division, fractions (especially unit fractions), and the structure of rectangular arrays. Students begin to use place value to perform multi-digit arithmetic and develop an understanding of fractions as numbers. 
  • Grade 4: The critical areas are developing fluency with multi-digit multiplication and understanding division, as well as building an understanding of fraction equivalence and operations. Students will work with multi-digit whole numbers and begin to understand decimal notation for fractions. 
  • Grade 5: The focus is on developing fluency with addition and subtraction of fractions and understanding the multiplication and division of fractions. Students also extend division to 2-digit divisors, integrate decimal fractions, and develop an understanding of operations with decimals. 
  • Grade 6: Students will connect ratio and rate to multiplication and division and use these concepts to solve problems. They will also complete their understanding of division of fractions and extend the notion of number to include negative numbers. Other areas of focus include writing, interpreting, and using expressions and equations. 
  • Grade 7: Instruction time is focused on developing an understanding of proportional relationships and applying them to solve real-world problems. Students will also unify their understanding of numbers, including fractions, decimals, and percentages. They will apply operations to all rational numbers 
  • Grade 8: The focus is on formulating and reasoning about expressions and equations, including modelling an association in bivariate data with a linear equation. Students will also learn about irrational numbers. 
  • High School: The standards focus on Number and Quantity, Algebra, Functions, Modelling, Geometry, and Statistics and Probability, with modelling being a key component across these areas. 

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The Importance of Mathematical Understanding

The Common Core State Standards are not just about getting the right answers; they're about developing the ability to think critically, solve problems creatively, and apply mathematical knowledge to real-world situations. This kind of mathematical understanding will be essential for your children’s success in college, careers, and life. 

By understanding the goals of the CCSSM and working with your children to develop mathematical understanding, you can make maths a less intimidating and more rewarding subject for the whole family. 

For additional support, consider purchasing a test prep pack from TestPrep Online. Practicing together with your child can help you both understand the format of standardized tests and assess how well they fare on different types of questions. This can be a great way to build confidence and identify areas where additional focus is needed. 


Here are some practical guidelines for parents who want to help their children with math, organized by grade level: 

Kindergarten:

  • Help your child count to 100 by ones and tens. 
  • Practice counting forward from a given number. 
  • Use written numerals to represent quantities, going up to 20. 
  • Count objects in a set and compare sets. 
  • Ask "how many?" questions about up to 20 objects arranged in a line, array, or circle, or up to 10 scattered objects. 

  • Use objects, fingers, drawings, and acting out to represent addition as putting together and adding to, and subtraction as taking apart and taking from. 
  • Solve simple addition and subtraction word problems within 10. 
  • Help your child decompose numbers less than or equal to 10 into pairs and find the number that makes 10 when added to a given number. 
  • Practice addition and subtraction facts within 5, aiming for fluency. 

  • Help your child identify and describe shapes. 
  • Compare two objects with a measurable attribute (e.g., length, weight). 
  • Classify objects into categories and count the number of objects in each category. 
  • Model shapes by building and drawing them and compose simple shapes to form larger shapes. 

  • Use everyday situations to practice counting, comparing, and problem-solving. 
  • Encourage your child to explain their thinking when solving math problems. 

Grade 1:

  • Develop strategies for adding and subtracting within 20 using models like objects and length-based models. 
  • Help your child understand the relationship between addition and subtraction. 
  • Solve addition and subtraction word problems with unknowns in all positions. 

  • Extend the counting sequence to 120. 
  • Help your child understand that the two digits of a two-digit number represent amounts of tens and ones. 
  • Use place value understanding to add and subtract within 100. 

  • Help your child understand the meaning and process of measurement, including iterating length units. 
  • Practice measuring lengths indirectly. 

  • Discuss the attributes of geometric shapes, including building and drawing shapes. 

  • Use physical objects to demonstrate math concepts. 
  • Relate math to real-world situations whenever possible. 

Kindergarten Counting Question - Read Aloud Version

Let's listen carefully to this question and think about the right answer.

Samantha has 4 apples.

She picks 3 more apples from the tree.

How many apples does Samantha have in total?

I'll read the choices for you. Listen carefully

Wrong

Correct!

Wrong

Wrong

View Explanation

Think about it! Samantha starts with 4 apples. She picks 3 more apples. Now, let's count together: 4... 5... 6... 7!

The correct answer is... B) 7 apples!

Let's talk about why the other answers are not correct.

  • A) 5 is incorrect because 4 + 3 is not 5.

  • C) 6 is incorrect because 4 + 3 is not 6.

  • D) 8 is incorrect because 4 + 3 is not 8.

For more practice questions, try our Rennaissance Star sample question page before you buy the early years test prep pack.

Grade 2:

  • Practice counting in fives, tens, and multiples of hundreds, tens, and ones. 
  • Help your child understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones. 
  • Compare two three-digit numbers. 

  • Work on addition and subtraction within 100, using mental strategies. 
  • Help your child memorize all sums of two one-digit numbers. 
  • Use drawings and equations to represent problems. 

  • Use rulers and measurement tools, recognizing that smaller units require more iterations. 
  • Measure and estimate lengths in standard units such as inches, feet, centimeters, and meters. 
  • Tell and write time to the nearest five minutes using a.m. and p.m.. 
  • Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies. 

  • Work with equal groups of objects, laying the groundwork for multiplication. 
  • Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns. 

  • Practice telling time and working with money. 
  • Incorporate measurement into daily activities, such as cooking or building. 

Grade 3:

We have a comprehensive 3rd Grade Math Test Prep Pack. You will find study guides and hundreds of questions to keep your 3rd grader engaged.

  • Use drawings and equations with a symbol for the unknown number to represent problems. 
  • Practice multiplication and division within 100. 
  • Help your child understand division as an unknown-factor problem. 
  • By the end of Grade 3, ensure your child knows from memory all products of two one-digit numbers. 

  • Begin to understand fractions, especially unit fractions (fractions with a numerator of 1). 
  • Compare two fractions with the same numerator or the same denominator. 
  • Compare fractions by using visual fraction models. 

  • Round whole numbers to the nearest 10 or 100. 
  • Add and subtract within 1000 using strategies and algorithms based on place value. 
  • Multiply one-digit whole numbers by multiples of 10. 

  • Solve problems involving measurement of time, liquid volumes, and masses of objects. 

  • Use real-world scenarios to practice multiplication and division. 
  • Incorporate measurement into daily activities. 

This is the type of skill tested by the 3rd grade MAP Test.

3rd Grade Multiplication Question:

A farmer has 6 rows of corn, with 4 corn plants in each row. How many corn plants does the farmer have in total? 

Wrong

Wrong

Correct!

Wrong

View Explanation

Correct Answer: C) 24 

Explanation: To find the total number of corn plants, multiply 6 rows by 4 plants per row: 6 x 4 = 24. 

  • A) 10 is incorrect because 6 x 4 is not 10. 
  • B) 20 is incorrect because 6 x 4 is not 20. 
  • D) 30 is incorrect because 6 x 4 is not 30.

You can also find this type of question in the iReady Math test

Grade 4:

  • Apply place value understanding to 1,000,000. 
  • Use the four operations to solve problems. 
  • Develop fluency with multi-digit multiplication. 
  • Understand division to find quotients involving multi-digit dividends. 

  • Develop an understanding of fraction equivalence. 
  • Add and subtract fractions with like denominators. 
  • Multiply fractions by whole numbers. 
  • Help your child understand fractions as multiples of unit fractions. 

  • Introduce decimal notation for fractions, and compare decimal fractions. 

  • Analyze and classify two-dimensional shapes. 
  • Help your child draw and identify lines and angles. 

  • Solve word problems using the four operations. 
  • Encourage your child to explain their reasoning. 

Grade 5:

  • Develop fluency with addition and subtraction of fractions. 
  • Understand multiplication of fractions and division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions). 

  • Extend division to 2-digit divisors. 
  • Integrate decimal fractions into the place value system. 
  • Develop an understanding of operations with decimals to hundredths. 

  • Develop an understanding of volume. 
  • Learn to measure volume. 

  • Help your child to write and interpret numerical expressions. 
  • Encourage them to analyze patterns and relationships. 

  • Use real-world problems to practice operations with fractions and decimals. 
  • Incorporate volume measurements into daily activities. 

5th Grade Order of Operations Question:

What is the result of the expression: 8 + (6 × 2) - 4 ÷ 2? 

Wrong

Wrong

Correct!

Wrong

View Explanation

Correct Answer: C) 17

Explanation: Follow the order of operations (PEMDAS):

  • Parentheses: 6 × 2 = 12
  • Division: 4 ÷ 2 = 2
  • Addition and subtraction from left to right: 8 + 12 - 2 = 17

A) 16 is incorrect due to a miscalculation in subtraction.

B) 20 is incorrect due to ignoring division.

D) 18 is incorrect due to incorrect order of operations.
This question reinforces PEMDAS.

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General Math Study Tips for All Grades

  • Be Positive and Encouraging: A positive attitude toward math can greatly influence a child's confidence and learning. 
  • Make it Fun: Use games, puzzles, and real-world examples to make learning math enjoyable. 
  • Focus on Understanding: Help your child understand the "why" behind the math, not just the "how". 
  • Use Visual Aids: Visual models such as drawings and diagrams can help children grasp concepts. 
  • Encourage Mathematical Practices: Promote problem-solving, reasoning, and using appropriate tools. 
  • Communicate Clearly: Encourage your child to use clear definitions and precise language when explaining math concepts. 
  • Connect Math to Other Subjects: Show how math is connected to science, art, and other areas of learning. 
  • Be Patient: Learning takes time and practice. Celebrate progress, and be patient with challenges. 
  • Use Technology: Explore educational apps and websites for extra practice and fun learning experiences. 

These guidelines are based on the math standards for elementary school. They emphasize building a strong foundation in number sense, operations, geometry, measurement, and problem-solving. Remember to adapt these guidelines to your child's specific needs and learning style.