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Online Math Tutor

Math Milestones: What To Expect As Kids Grow Up

As a parent, you are likely always looking for ways to help your child succeed. You want to be there to support them as they grow and learn new things. You also want to make sure they are hitting the milestones they should be when learning new skills. But one area that can be especially tricky to navigate is math. 

Math milestones can be confusing, but don’t worry; we’re here to help! This post will outline what to expect as kids grow up regarding math skills. There are many different milestones for each grade, but we will cover some of the most important milestones and when you should expect them from your child. For example, as a parent, you will want to ensure your child understands the difference between 2-dimensional and 3-dimensional shapes in grades 1 and 2. Similarly, in grade 5, some milestones to look out for include being able to use more than one way to solve math problems.

Understanding what lies ahead can better support your child along their journey. So, read on for information on developmental milestones in mathematics and the strategies you can use to help your child excel!

A Strong Math Foundation

Each milestone is an important step in developing a solid math foundation. As a parent, it can be difficult to know where your child should be in terms of their education. But knowing what to expect as children grow up and during each grade can help you recognize if your child is struggling. If your child appears to be behind, math tutoring is a great way to keep them on track to hit their milestones. 

Math builds upon the concepts learned the previous year, so before your child reaches a new milestone, they must first accomplish the task currently at hand. In other words, if your child is going into grade 4, but they haven’t mastered the concepts learned in grade three, they may miss milestones and struggle

Math Milestones

The following guide can be used to monitor if your child is reaching their milestones. Every child is different and may learn at a different pace, so it is crucial to reach out to your child’s teacher if you are concerned about their progress in their math studies. 

Grades 1 – 2

  • Name basic shapes
  • Understand the difference between two- and three-dimensional shapes 
  • Read digital and analog clocks using words such as ‘half-past’ and ‘quarter to’
  • Do basic subtraction and addition up to 20
  • Use mathematical language to convey thought and solution
  • Predict what comes next in a pattern
  • Count to 100 by ones, twos, fives, and tens
  • Right and recognize the numerals 0 to 100
  • Right and recognize the words for numbers from 1 to 20
  • Describe probability in everyday situations

Grade 3

  • Understand money amounts (e.g. four quarters in a dollar)
  • Understand place value and solve problems with decimal points
  • Create a number equation or sentence from a word problem
  • Use mathematical language to convey thought and solution
  • Count forward and backward from various starting points
  • Know how to do division and multiplication with help from fact families
  • Understand how addition and subtraction are inverse operations  (e.g., 3+5= 8 and 8-3=5)

Grade 4 – 5

  • Be able to use more than one way to solve problems
  • Start applying math concepts to the real world
  • Use mathematical language to convey thought and solution
  • Compare numbers using greater and less than symbols
  • Write and compare fractions and decimals and put them in order on a number line
  • Start two-and three-digit multiplication
  • Add, subtract, multiply and divide money amounts
  • think in a multiplicative way (e.g., if a 3 kg dog grows to 6 kg and a 10 kg dog grows to 13 kg – some may see them as growing by the same amount (that is additive thinking), the first dog actually doubled their weight which is multiplicative thinking)
  • Name various types of triangles and quadrilaterals

Grades 6 – 8

  • Use coordinates to find points on a grid
  • Work with basic geometric shapes, including angles, lines, and types of triangles
  • Begin basic algebra with one unknown number
  • Use mathematical language to convey thought and solution
  • Use formulas to integrate math concepts and solve complicated problems
  • Use formulas to calculate and understand the relationships between perimeter, area and volume of shapes
  • Ability to estimate and make sense of answers when using operations with fractions
  • Use proportional reasoning to solve problems involving rates, ratios and percentages
  • Understand that numbers can be represented in various ways like decimals, fractions, bases, and variables

Highschool

  • Use numbers in real-life situations
  • Use algebraic reasoning to estimate, think about, and solve mathematical relationships
  • Use mathematical language to convey thought and solution
  • Begin to understand how math ideas build on one another
  • Use maps, graphs, or other representations to learn and convey information
  • Begin to see that some math problems don’t have real-world solutions

Keeping Your Child On Track

Math milestones are important not just for children but for parents too. By understanding what math skills your child should be mastering at what age, you can ensure that they’re on track and help them if they’re struggling. But keep in mind that these milestones are just a general rule. Math skills can be dependent on visual abilities, working memory, and language. 

While these are just general milestones to watch for, there are some “tried and tested” tips for helping children achieve them, including: 

A Different Type Of Math Tutor

Dropkick Math understands where children should be with their understanding of mathematics. We are a tutoring company that differs from others by getting to the root of any misunderstandings your child may have about math. All of our instructors are certified Ontario teachers who know how to assess children to ensure they hit the milestones with their peers. Other traditional tutors tend to only work on the problem at hand, but this will not help the child progress in their math skills.

If you are searching for math help online, look no further. We offer fun and engaging programs your child will look forward to each week. Our programs aim to build confidence and teach children to enjoy math while hitting those important milestones.

Check out our programs today!

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Online Math Tutor

How To Know If Your Child Is Struggling With Math

If you’re a parent, there’s a good chance that you’ve experienced the following situation: You’re helping your child with their math homework, and they just can’t seem to get it. They don’t understand what they’re doing, they can’t remember how to do basic operations, and everything seems to be a struggle. It’s frustrating for both of you – and it may leave you wondering if your child is struggling with math. So, how can you tell if this is the case? 

As frustrating as this experience can sometimes be, there are some simple ways to know if your child is struggling with math. One of the best ways to tell if your child is struggling is when they bring home their report card. Report cards often mention milestones they should be reaching, and if a teacher is reporting that they are missing milestones, it is a sure sign that your child is struggling with math. Grades don’t lie, and teacher remarks can help you understand where your child may fall behind.  

Also, if your child is exhibiting signs of math anxiety, it could be a sign that they are having trouble. This well-documented condition can manifest in various ways, so it is important to understand math anxiety and how to notice any signs. 

In this blog post, we’ll discuss these signs and more to help if you are wondering if your child may be struggling with math. We will also cover some simple tips for how to help them overcome these struggles. Keep reading for more information!

What Causes Children To Struggle?

A common complaint among children is that math is too complicated or that they are not smart enough. Unfortunately, this belief can severely impact any child’s success in mathematics. Math is a subject that requires focus and concentration, two things that are often in short supply for young kids. In addition, math requires a certain amount of abstraction, which can be difficult for children who are still learning to think in concrete terms. However, math is also a subject that rewards effort and perseverance. With time and practice, any child can learn to master math basics. The key is to keep trying, even when it seems difficult. Any child can succeed in math with a positive attitude and a willingness to persevere.

Report Cards

Report cards offer an excellent view of your child’s education. There is no better way to check if they are struggling than by looking at their grades. It should be a warning sign if your child appears to perform well in every subject except math. Lower grades in math that go unnoticed may lead a child to focus more on subjects they are already succeeding in and spend less time studying math. 

The key is not just to look for a failing grade in math. A lower grade than usual can signal that your child is struggling along with teacher remarks about missing concepts or misunderstandings of core components of the curriculum. By catching these signs early, you can get your child the extra help they may need to keep up with their peers. 

Math Anxiety

Math anxiety is a genuine phenomenon that can be frightening and deter many children from learning math. Chances are that if your child is showing any signs of math anxiety, they are struggling. But what does math anxiety look like in children? For some children, math anxiety manifests as a physical response, such as a racing heart or sweating palms. For other children, math anxiety manifests itself as more of an emotional response, such as feeling overwhelmed or anxious. In either case, math anxiety can significantly hinder a child’s ability to learn math. If your child is showing any of these symptoms, such as saying things like “I hate math” or “I’m not good at math,” or if they are trying to avoid math-related activities, it’s usually a sign that they have math anxiety and are struggling with the subject. 

The good news is that there are ways to help children overcome math anxiety. Parents and teachers can help children see math more positively by providing encouragement and positive reinforcement. Additionally, there are many helpful resources available that can provide children with the tools they need to succeed in math. With a little bit of effort, math anxiety can be overcome.

Hitting Milestones

Generally, children hit certain milestones in math around the same age. However, sometimes they have trouble developing these skills at the same rate and end up falling behind. For example, an expected milestone for children in grades 1 and 2 may include counting to 100 by ones to twos, fives, and tens. While others pick it up without any problems, some children may struggle with the concept. This noticeable milestone should be corrected before the child moves on to the next concept. 

Similarly, in grades 4 and 5, your child should start being able to apply math concepts to the real world and be able to solve a problem in more than one way. If they don’t quite grasp that yet, they may be struggling with math. (For more math milestones, see our blog “Math Milestones: What To Expect As Kids Grow Up”)

If you feel like your child is not hitting their milestones, you may want to speak with their teacher. By addressing the issue early, your child can catch up and not get left behind the other children in their class. 

The Building Blocks of Math

Math can be a challenging subject for some children because it is cumulative. In other words, each year builds upon the concepts learned the previous year. If a child falls behind, it can be difficult to catch up. For parents, it is important to understand that this does not necessarily mean their child is lacking in intelligence or motivation. In fact, kids who struggle with math are often working very hard – both mentally and physically. 

Researchers from the University of Akron recently published a study called “The Importance of a Strong Mathematical Foundation,” where they tested 39 ninth and tenth graders. Each student had to complete questions ranging from third to seventh grade on fractions, proportions, and ratios. Only seven students were able to pass the assessment.

Researchers were able to conclude that students were simply being taught math concepts matched with their current grade level and not based on the mathematical knowledge they brought to class. Because of this, students were falling behind at each grade level. This was due to them not mastering the concepts before continuing on to higher-level instruction. These education gaps can create misunderstanding, hindering students from making the necessary content connections and gaining conceptual understanding.

If your child shows signs of a gap in learning, it may explain why they are struggling. Try returning to concepts they would have learned in the previous grades and test their knowledge. It is also important to talk with them about how math is essential and that everyone struggles with it at some point or another. 

By providing them with resources, such as a math tutor or supplemental math activities, children can catch up and excel in math. With patience and understanding, math can be mastered by any child.

Disruptions In Education

After two years of educational disruptions caused by the pandemic, many students are behind in mathematics. This is causing children to exhibit signs that they are struggling to keep up with what they are learning in math class. 

At Dropkick Math, we offer math online tutoring programs that can help children who may be struggling. We start by assessing children so they can be placed in the appropriate programs, not based on their grade level but on their current understanding of math concepts. This allows our certified Ontario teachers to work with children to build upon their knowledge and help with any misunderstandings they may have. 

If you are looking for math help online for your child, Dropkick Math can help! Check out our programs today!

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Pillars of Math

What Are The Four Pillars Of Math?

The Four Pillars of Math are four concepts that are essential for students to understand in order to be successful in math. These pillars are: number sense, operational sense, proportional reasoning, and algebraic reasoning. By mastering these four fundamental concepts,  students will be able to solve any problem they encounter in math. In addition, the four pillars of math provide a strong foundation for students to build upon as they move on to more advanced concepts.

The Foundation Of Our Program

At Dropkick Math Academy, the foundation of our math tutoring program focuses on the four pillars of math. These four pillars are essential building blocks for understanding higher-level math concepts. We focus on one or more of these pillars throughout our program in each module. For example, in our first module, Operations, Whole Numbers, and Pirates, we focus heavily on developing a conceptual understanding of both number and operational sense. Without a strong understanding of these operations, it would be impossible to move on to more complex topics like algebra. However, we also touch on the other three pillars in this module. For instance, we use proportional reasoning to explore place value. By the end of the module, students have a well-rounded foundation in arithmetic and are prepared to move on to more advanced modules.

The Four Pillars Of Math

Let’s take a closer look at each of the four pillars:

Number Sense

Number sense is understanding the quantity represented by a number. It is not the same as numeracy, which is the ability to do calculations. Number sense develops gradually. For example, a baby starts by recognizing that they see one person or two people. By the time they start school, they can count up to 20 or more. They learn what numbers mean in terms of amounts and quantities. This knowledge forms the foundation for learning more complex math concepts later on. 

Fractions are an excellent example of a concept that builds on number sense. In order to understand fractions, students need to be able to visualize the quantity represented by a number. For example, if there are four pieces of candy and I eat two of them, then I have eaten half of the candy. Fractions are a way of representing numbers that are not whole numbers, and understanding fractions requires a strong foundation in number sense. 

Operational Sense

Operational sense is a critical math concept that refers to a child’s ability to make sense of addition, subtraction, multiplication, and division and use them in problem-solving situations. When a child is able to develop a strong understanding of the operations, they can recognize the relationships among them and develop systems for computing numbers. This understanding helps to form the basis for the four pillars of math.

Operational sense is not just about being able to do the computations but about understanding when and how to use them. For example, a child who knows that addition can be used to find out how many objects are in a group but does not understand that it can also be used to put together two groups of objects has not yet developed operational sense. Operational sense is a critical foundation for success in math, and children who develop a strong understanding of the operations are well on their way to becoming math problem-solvers.

Proportional Reasoning

Proportional reasoning is a unifying theme in mathematics and is often considered the foundation of abstract mathematical understanding. All four pillars connect to proportional reasoning. For example, in whole numbers, students learn about place value which is based on 10s. In decimals, place value is based on 10s with an added number after the decimal point. In fractions, there are different parts of a whole, and students use visual representations to help understand the relationships between those parts. Lastly, in percentages, there are hundredths and relationships are represented out of 100. 

By making connections to prior learning, students see that proportional reasoning is everywhere in mathematics! Proportional reasoning is not just a process but rather it’s a way of looking at the world and solving problems. In essence, proportional reasoning is the consideration of numbers in relative terms compared to absolute terms.

Algebraic Reasoning

Patterns are all around us. They can be found in the seasons, the way leaves grow on a tree, and the numbers we use every day. Understanding patterns is an essential mathematical skill that helps us to make sense of the world around us. 

Algebraic reasoning is a way of thinking that uses mathematics to solve problems and understand relationships. It is an essential skill that is introduced in the early years of learning and continues to play an increasingly important role through grades 4 to 9.

Algebraic reasoning can be used to solve problems in a variety of ways, including by using algebraic equations, graphing, and creating tables and charts. It is a powerful tool that can help us to understand complex ideas and make predictions about the future. By understanding algebraic reasoning, we can better understand the world around us and our place within it.

Learning Skills

The approach used in Dropkick Math Academy teaches children certain skills along with the four pillars to set them up for success in their future education. These include:

Concepts – Concepts are the building blocks of math. If students don’t understand the basic concepts, they’ll struggle to progress. That’s why we focus on teaching concepts in a way that is clear and easy to understand. We want students to really grasp the material so they can build on it later.

Fluency – Fluency is about being able to do math accurately. It’s important for students to be able to recall math facts and equations quickly so they can focus on solving problems. We use a variety of techniques to help students improve their fluency, including games and practice with real-world applications.

Problem-solving – Problem-solving is an essential skill for all students, not just those interested in math or science. Breaking down a problem and finding a solution is a valuable life skill that will serve students well no matter what path they choose. We encourage students to approach problem-solving with confidence and to persevere when they find themselves stuck.

Mastering The Four Pillars

The Dropkick Math team is committed to helping students master the Four Pillars of Math. We believe that this is the best way to set students up for success in their math education. We have created a variety of resources, such as articles, videos, and games, that all focus on helping students understand and master these four concepts and better understand math operations. Visit our website today to start exploring these resources and learn more about our math help services. By taking our FREE assessment, your child can begin to build a strong foundation in math!