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Mathematics for 1st graders


1st Grade Math Skills, What Your Child Will Learn, Komodo Math

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Your child is heading to first grade! After the year in kindergarten, your first grader will be ready for some amazing growth. For many children, first grade is the year that they bloom as readers and mathematicians. Get ready to support your child’s mathematical growth by learning about first grade math skills. 

In first grade, you can expect your child to learn about: 

1. Addition and subtraction facts to 20 

Now that your child has mastered the idea of adding and subtracting, they’re ready to practice math facts. This means getting faster when answering addition and subtraction problems to 20. 

Help your child develop fluency by asking basic addition and subtraction problems - we find that using treats can help keep kids interested! If your first grader needs support, encourage the use of physical objects or fingers as problem-solving tools.  

2. Addition and subtraction as inverse operations 

Your child probably understands the concept of addition as “putting together” and subtraction as “taking apart.” In first grade, children are encouraged to see the connections between addition and subtraction. Your child will learn how addition and subtraction are inverse operations, or that one is the opposite of the other, and create “fact families” of related addition and subtraction problems. 

When working with addition and subtraction, ask your child to see connections. For example, if your child has four dolls and three cars, ask how many toys there are in all. Then ask how many toys there would be if the four dolls are taken away. 

3. Count and write within 120 

Your child has probably mastered counting to 20. But in first grade kids will learn to count all the way up to 120! That’s not all. Kids will be expected to not only count, but write, the numbers. This is great practice for understanding multi-digit numbers. 

At home: Encourage your child to write numbers whenever possible. Talk about how two-digit numbers are made up of tens and ones and how three-digit numbers are made up of hundreds, tens, and ones. Just looking closely at multi-digit numbers together can be a great learning opportunity. 

4. Add within 100 

Now that your child has an understanding of numbers past 100 as well as basic addition and subtraction facts, it’s time to practice adding within 100. Children will practice adding one-digit numbers to two-digit numbers using strategies like counting on and number charts. Children can practice adding larger numbers with the help of a 1-100 chart. 

First graders are also ready to practice adding and subtracting 10s to and from two digit numbers. 

At home: Help your child see patterns when adding and subtracting 10s. For example, after solving a problem like 59 - 10 = 49, point out to your child that 49 has one less 10 than 59. This is another great way to learn about place value. 

5. Measure objects

In first grade, kids learn how to measure using rulers and more unusual things like paper clips. After taking measurements, children compare and order objects by length.

At home: Kids love measuring things around the house, so keep a couple of rulers handy. Pay attention to how your child is using a ruler and taking measurements. Sometimes kids don’t quite measure from end to end, so they might need a bit of help...  

6. Tell time to hour and half hour 

One of the trickiest concepts first graders will learn is to tell time. Using analog clocks is confusing, especially when kids are more used to seeing digital clocks. In first grade, your child will learn about the big and little hands of a clock and will practice telling time to the hour and half hour.  

At home: Get hold of an analog clock for your home (either a real one or one made just for learning). Talk with your child about the time and how the hands move around the clock. Remember to just focus on telling time to the hour and half hour to start! 

7. Understand basic fractions

First graders also get an introduction to fractions as equal shares. They will learn how to divide into equal groups and learn basic fractions like ½, ⅓, and ¼. First graders usually have a good understanding of fairness,  so practicing making equal shares should be a relatively easy task for them!

At home: Help your child to divide pizzas, pies, and sandwiches into equal shares. As you do, talk about the fractions of the whole that you created. 

First graders are ready to dive deep into mathematical concepts. Find time to connect with your child about classroom learning and get ready to have some fun! 

Found this useful? Check out our grade by grade math guides from Kindergarten to 5th grade

Written by Lily Jones, Lily loves all things learning. She has been a kindergarten & first grade teacher, instructional coach, curriculum developer, and teacher trainer. She loves to look at the world with curiosity and inspire people of all ages to love learning. She lives in California with her husband, two kids, and a little dog.

About Komodo – Komodo is a fun and effective way to boost K-5 math skills. Designed for 5 to 11-year-olds to use in the home, Komodo uses a little and often approach to learning math (15 minutes, three to five times per week) that fits into the busy family routine. Komodo helps users develop fluency and confidence in math – without keeping them at the screen for long.

Find out more about Komodo and how it helps thousands of children each year do better at maths – you can even try Komodo for free. 

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The Most Important Math Concepts Kids Learn In 1st Grade

Your child has progressed from kindergarten to first grade. That’s exciting news! There is so much learning to come their way, especially from their first grade math class.

Math skills and concepts build on each other from grade to grade, which is why children need to get a firm foundation so they can handle the more complex challenges as they progress in school.

As a concerned parent, you might be wondering what some of these mathematical concepts will be and, more importantly, how you can help your child master them. You don’t have to figure it out on your own.

Here, we will give you a breakdown of what to expect from your child’s math class. We’ll also add a few tips on how to help your young learner thrive through it all.

Let’s get started!

Why Is Math Important?

Math is taught in the classroom, but that doesn’t mean that’s the only place it’s relevant. We use it every day!

From the hexagonal bee combs to the circles, semi-circles, and crescents of the phases of our moon, mathematics is an essential part of the world we live in, and learning it helps us make sense of everything around us.

Did you know that math skills can also be linked to music? Children who play musical instruments use the same part of the brain when doing math. This is why studies have shown that music students do better in mathematics than their non-musical peers.

Sports and mathematics also have an interesting connection. Just think about all the coordination involved in performing well in certain sports. Research has shown that these skills can also be used to learn math.

In addition, mathematics helps us be stronger logical thinkers. Since most young kids tend to enjoy math time, it’s essential to foster this natural love for the subject just as much as we want to encourage children’s love for reading.

Helping children develop a love for mathematics generally works well when approached actively as a problem-solving skill rather than a rote memory task. Math helps children thrive in various aspects of their lives.

So, how do we get there? It all starts with the foundation.

Below are the key first grade math concepts your child will soon learn and some tips on how you can support them on their journey.

8 Important First Grade Math Concepts

1) Numbers And Counting

At first grade level (and for the next few years in school), learning different numbers and counting will form a significant part of your child’s mathematics lessons.

By the end of the first grade, your child will have learned to:

  • Count and write numbers from 1 to 100
  • Count by 1s, 2s, 5s, and 10s
  • Count backward
  • Count onward from any number
  • Count backward from any number

There are different ways to help your child grasp numbers and counting at home, and hands-on activities work best.

An effective strategy is to help your child visualize what all these numbers mean. For example, instead of just memorizing the numbers, they can count bears, large dried beans, or even craft sticks.

2) Addition And Subtraction

In first grade math, your young learner will start adding and subtracting numbers up to 30. They will also solve basic word problems with the help of drawings, objects, and equations.

By the end of the first grade, your child will have been shown how to:

  • Add three one-digit numbers
  • Write and show an understanding of the mathematical symbols (+, -, =)
  • Solve problems involving one and two-digit numbers
  • Solve problems involving an unknown. For example, 1 + _ = 4

Addition and subtraction are two math skills that can be demonstrated in everyday life situations. This makes it relatively easy to practice at home!

For instance, you might ask, “If you have two teddy bears and granny buys you three more, how many teddy bears will you have in total?” Or, “There were six strawberries in the fridge. Daddy ate some strawberries. There are now four left. How many did daddy eat?”



3) 2-D Shapes

During pre-k, children get introduced to different shapes. In first grade, they will continue to extend their understanding of them.

By the end of the first grade, your child may be able to:

  • Examine the attributes of different shapes (number of sides, faces, etc.)
  • Name the 2-D shapes

To help your child grasp these shapes at home, continue to point out and name the 2-D shapes in the world around you (circles, triangles, pentagons, etc.).

When doing so, remember to always highlight the attributes (e.g., this book has four equal sides, so it’s a square).

4) Sorting And Patterns

Understanding and sorting patterns also forms a part of first grade math.

Your first grader will learn to:

  • Sort different objects by attributes such as color, shape, and function. For example, sorting a mixed group of blocks so that the red, blue, green, and yellow blocks are separated.
  • In addition, if these blocks are placed in a pattern (e.g., green, yellow, green, yellow, etc.), your child should be able to both predict which color will come next and create their own identical pattern. This skill will help develop your child’s logical thinking.

Continue to allow your young learner to play with fun building blocks and create their own patterns to help them master this skill.

5) Fractions

Montessori material. Children’s hands. The study of mathematics School and kindergarten. Whole and part. Fractions

As a first-grader, your child will be introduced to fractions as equal shares and basic fractions such as ½, ⅓, and ¼. For children to fully grasp these concepts, it’s essential to keep things intuitive.

For example, you can start by helping them understand that a half is two equal parts, a third is three equal parts, and so forth. They also need to understand that although three is bigger than two, ⅓ is smaller than ½.

Fractions can be tricky for kids to learn, which is why it’s important to use practical and everyday items.

For example, you can help your young learner examine the fractions of a full pizza. Then, as you divide the pizza into different slices, talk about the parts that you’ve created from the whole.

The concept of equal shares can also be demonstrated from one object and a group. For instance, you can have ½ of a single item (e.g., ½ of a cookie), or you can have ½ of a group of objects (e.g., ½ of four cookies is two cookies).

6) Number Place Values

With all the counting in first grade math, your child will naturally be introduced to the concept of place values. For instance, understanding that in the number 288, the 2 is worth 2 “hundreds” (or 200).

There are various activities you can do at home to help your young learner with this concept, including:

  • Using number lines
  • Base ten blocks

For more ideas to help with number place values and other 1st grade math concepts, take a look at the book Games for Math: Playful Ways to Help Your Child Learn Math, From Kindergarten to Third Grade by HOMER’s very own Peggy Kaye.

7) Time

Telling time (both digital and analog) is an important life skill that kids learn from first grade. The concept of elapsed time will also be introduced at this stage.

In first grade math, your child will learn to:

  • Tell time to the nearest hour, half-hour, and quarter-hour (sometimes even to five minutes)
  • Make the connection between time and events (e.g., shorter, longer, after, before)

Understanding the analog clock can be tricky for a child who’s only exposed to digital clocks. So help your young learner by buying one (or making one for learning) to hang up at home.

You can then speak to your child about what it means when the hands move. To make things easier, start by helping them tell time to an hour and half-hour before progressing to quarter-hours.

8) Measurements And Comparisons

First grade math also involves some measuring and unit comparisons.

Your child will learn how to measure using a ruler and, after taking measurements, compare and order objects by length. First-graders will also learn how to compare the weights and volumes of different objects.

To help your young learner at home, keep rulers nearby and take measurements together of some of the objects they love (e.g., stuffed toys, cookies, etc.).

Bonus tip: If you’re a regular baker, why not help them see how you use measuring tools to create their favorite treats? Yum!

Helping Your Child With First Grade Math

We’ve already mentioned a few ways in which you can help your first grader with math at home. In addition to the above, playing math games is a fun and easy way to practice math at home!

Here are some examples of more math activities your young learner will enjoy at home:

  • Fill in a number grid puzzle
  • Build objects with legos and measure
  • Number Hunt, Hopscotch, Is It A Number, and Find A Number

Math Is All Around Us

Helping your child grasp first grade math concepts at home is easier when you focus on the fact that mathematics is a part of our everyday lives. It is in the shape of road signs, the parts of sliced pizza, and even the watches on our wrists!

Sometimes kids (and parents) forget that math can be lots of fun. So whenever you can, incorporate games and activities to bring a little excitement to all the learning.

Will this help your child become our next best mathematician? Only time will tell. But one thing is for sure — all of the great mathematicians started somewhere. Even Isaac Newton had to master first grade math!

For more ideas and inspiration, visit the HOMER Learn & Grow app.

Author

GDZ in mathematics Grade 1 Moro textbook 1, part 2

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Part 2.

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Additional GDZ Moro

  • Mathematics workbook Grade 1 Moro, Volkova
  • Testing work in mathematics Grade 1 Volkova

See also

  • Workbook on the world around 1st grade Pleshakov
  • Russian language textbook Grade 1 Kanakina, Goretsky
  • Russian language workbook Grade 1 Kanakina, Goretsky

Description

Collection of ready-made homework according to M. I. Moro, S.I. Volkova, S. V. Stepanova "Mathematics Grade 1" demonstrates the principles for performing basic numbers.

For convenience, the material is divided into two parts. GDZ pages strictly correspond to the textbook. There are necessary explanations for analytical tasks, brief notes of tasks for addition, subtraction, drawings, inequalities.

The advantage of the manual is that it presents solutions to exercises under the line, which is not always found in the authors of other GDZ.

High-quality illustrations look crisp and legible. A visual explanation of the algorithms helps to understand the principles of solution, step-by-step recording, final design. This allows you to quickly transfer the skills of work to children.

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Mathematics Grade 1 entertaining tasks and examples

Contents:

  • Acquaintance with numbers from 1 to 10
  • Preparation for learning numbers
  • Spatial representations
  • Temporary representations
  • Comparison of the amount of
  • figures
  • Length
  • from 1 to 10
  • Add, subtraction up to 10
  • Symmetry
  • from 11 to 20
  • Add to 20 9,0006
  • Sequences of figures

Introducing numbers from 1 to 10

Numbers from 1 to 10

After the child has mastered counting to 10, we introduce him to even and odd numbers. In this task, the child will complete the row with even / odd numbers.

Preparing to learn numbers

Counting from 1 to 10

Our goal is to reinforce the child's ideas about the numbers from 1 to 10. If he performs similar buildings with you, the result will be much better!

Spatial representations

Left, right

We offer the child to practice the concepts of "right" and "left" with the help of the game. Join him and you - it will be a real pirate adventure!

Left, right: continued

With the help of this exercise, your child will continue to work out the concepts of "right" and "left" in an interesting way, as well as repeat the figures known to him.

Location of objects

We have prepared a set of fox cards for you and your child. Cut them out, ask the child to describe the pictures, naming where the fox is.

Temporal representations

First, then, after

In this exercise, the child deepens his temporary representations, improves thinking skills, and also learns to determine the sequence of actions.

Comparing the number

More and less

We offer an exercise in which the child is tasked with counting objects, then comparing their number.

More, less, the same

Working on developing critical thinking and math skills. We repeat numbers from 1 to 10 by comparing the number of items.

We consider: what is more?

In this task, the child is asked to compare the number of candies in the jars and color them. Then you can try to complete this task for a while.

Figures

Figures

The child gets acquainted with simple flat figures, paints and counts them. Let learning shapes be fun!

Learning to recognize shapes

With this exercise, the child will learn to recognize the basic shapes in various objects. Do the same in everyday life!

Polygon

Children get acquainted with the concept of "polygon", learn to distinguish shapes, sort them and recognize them.

Sides of a polygon

Children learn about the concept of "polygon", learn to distinguish shapes, sort them and recognize them.

Properties of shapes

The child fills in a table about shapes: the number of sides, vertices, straight and curved lines. The goal is to expand ideas about figures and the concept of "symmetry".

Cutting out the shapes

In this exercise, the child is asked to cut out the shapes under your guidance and paste them next to the appropriate descriptions.

Length

Which is longer?

The child gets acquainted with the concept of length and learns to compare objects by their length, using comparative adjectives.

Centimeter

In this exercise, the child will learn to measure objects with a ruler and record the result.

Numbers from 1 to 10

Number and number 5

The child already knows about counting up to 10 and numbers. This exercise in an entertaining way will allow the child to consolidate ideas about the number 5.

Numbers from 1 to 10

After the child has mastered counting up to 10, we introduce him to even and odd numbers. In this task, the child will complete the row with even / odd numbers.

Numbers from 1 to 10 in letters

Writing numbers in letters can be difficult for first graders. In order to remove possible difficulties, we recommend that you perform this exercise.

Ordinal counting from 1 to 10

The child learns ordinal numbers from 1 to 10. The more often he counts objects, the faster his mathematical skills will be formed.

What is the order?

We offer you an exercise that will help your child practice the numbers from 1 to 10 and will also help develop math skills.

Addition, subtraction up to 10

Addition, subtraction of the form +/- 1

The child names, writes numbers from 1 to 10 and mathematical symbols (+, - and =). The child learns to perform addition and subtraction operations with the number 1.

Addition, subtraction of the form +/- 2

The child names, writes numbers from 1 to 10 and mathematical symbols (+, - and =). The child learns to perform addition and subtraction operations with the number 2.

Addition problems with pictures

The purpose of this exercise is to introduce addition using pictures and objects in order to better understand the meaning of this action.

Subtraction problems with pictures

The purpose of this exercise is to introduce subtraction using pictures and objects in order to better understand the meaning of this action.

Addition, subtraction of the form +/- 3

The child names, writes numbers from 1 to 10 and mathematical symbols (+, - and =). The child learns to perform addition and subtraction with the number 3.

Addition, subtraction of the form +/- 4

This activity in an interesting way will give your child the opportunity to practice solving simple mathematical problems.

Addition, subtraction of the form +/- 5

In this exercise, the child practices addition and subtraction with the number 5, and also repeats the learned methods of arithmetic operations.

Addition of numbers 5, 6, 7, 8, 9

Child names, writes numbers from 1 to 10 and mathematical symbols (+, - and =). The child learns to perform addition and subtraction with the numbers 5, 6, 7, 8, 9.

Adding numbers up to 10

The child repeats the learned methods of adding numbers within 10, compares them, chooses the most convenient one and practices in solving problems of the studied types.

Adding numbers with pictures

The child solves problems and examples of various types. In this exercise, he will strengthen his addition and subtraction skills by solving problems with pictures.

Sum of the same terms

In this exercise, we invite the child to practice addition and solve addition examples with the same terms of an unusual form.

Identical terms

In this exercise, we invite the child to practice addition and solve addition examples with the same terms of an unusual form.

Mass

Purpose - to introduce the child to a new quantity - mass and its unit of measurement - kilogram; develop the ability to solve problems and examples of the studied species.

Symmetry

The child gets acquainted with the concept of symmetry, learns to create symmetrical figures according to the model, compare the result.

Numbers from 11 to 20

Numbers up to 20

The child gets acquainted with the formation of numbers of the 2nd ten, their names and the order in which they are counted. He learns to compare them and solve problems of the studied species.

Reading numbers from 10 to 20

The child learns to form, read and write the numbers of the second ten, compare numbers within 20, based on their order in counting.

Addition, subtraction up to 20

Addition, subtraction up to 20

Our goal is to teach you how to perform addition and subtraction of numbers up to 20, how to use mathematical terminology when compiling and reading equalities.

Addition with numbers 2 and 3

The child will learn how to simulate the method of performing addition with numbers 2 and 3, use mathematical terminology when compiling and reading equalities.

Addition with the number 4

The child will learn how to model the methods of performing the addition action with the number 4, use mathematical terminology when compiling and reading equalities.

Addition with the number 5

The child will learn how to model the methods of performing addition with the number 5, use mathematical terminology when compiling and reading equalities.

Addition with the number 6

The child will learn how to simulate the methods of performing the addition action with the number 6, use mathematical terminology when compiling and reading equalities.

Addition with the number 7

The child will learn how to model the methods of performing the addition action with the number 7, use mathematical terminology when compiling and reading equalities.

Addition tasks up to 20

Our goal is to consolidate knowledge of the addition table, subtraction techniques, numbering and composition of numbers.

Learn more