1St grade math units

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A first grade math curriculum should teach students the fundamentals in a way that is not just effective, but also fun. In addition to giving students a solid foundation, first grade math fluency also arms students with the tools and confidence they need to learn more advanced concepts down the road.

If a child can’t keep up with a first grade math curriculum, not only will they fall behind and, in turn, lose confidence, but they’ll also lose interest in the subject. Additionally, the skills and concepts that students learn in first grade math aren’t just limited to use in their academic studies. First grade math fluency also helps students become better problem solvers and logical thinkers.

What Math Should a 1st Grader Know

Students will acquire tons of new math skills in first grade. This knowledge will serve as a foundation for what they will learn in second grade math and also expand on what they learned in kindergarten. As they go into first grade, students should be familiar with a number of concepts in order for them to be successful and learn more advanced topics and math strategies. These include, but are not limited to:

• Be able to count, identify and write numbers
• Perform one-digit addition and subtraction
• Have an understanding of quantity (more and less)
• Familiarity with patterns and shapes
• Knowledge of place value (ones, tens, etc.)

The ideal math curriculum for first grade should not only build on these skills and ensure mastery of new concepts, but also make learning fun by engaging and motivating students.

Math Objectives for 1st Grade

Once you’ve selected the ideal math curriculum, it is important to set some attainable goals. Below is a sample of what some of these math goals should be:

• Count to 100; county by 5s and 10s to 100; count by 2s to 40
• Represent numbers on a number line
• Add and subtract 2-digit numbers
• Write the date; tell time; read a calendar
• Count and create coin combinations; add and subtract money
• Identify, sort and classify 2-dimensional shapes
• Understanding the value of money

Towards the end of the year, if your child has already achieved most of their first grade math goals you can give them a head start for the next year by having them practice math facts. This will solidify what they learned in first grade and prepare them for their second grade math learning targets.

1st Grade Math Scope & Sequence

Chapter 1: “Number Sense”

Lesson 1: Read Numbers –

Read whole numbers up to 100. Use one-to-one correspondence to count objects up to 100.

Lesson 2: Compare Numbers –

Compare and order whole numbers up to 100 by understanding the concepts of greater than, less than, and equality.

Lesson 3: Ordinal Numbers –

Match ordinal numbers with an ordered set of up to ten items. Identify first, second, and third by name.

Lesson 4: Count Numbers –

Count forward and backward by ones and count forward by tens from any number less than 100.

Lesson 5: Place Value –

Identify the place value of a digit in whole numbers to 100. Identify the value of digits up to the hundreds place.

Lesson 6: Compare with Place Value –

Group objects by tens and ones. Compare and order whole numbers up to 100 using place value.

Lesson 7: Count by Twos and Fives –

Count forward by twos and fives up to 50.

Lesson 8: Odd and Even Numbers –

Model and identify even and odd numbers.

Chapter Test: Number Sense

 Chapter 2: “Fractions”

Lesson 1: Equal and Unequal Parts –

Identify equal and unequal parts of wholes.

Lesson 2: Halves and Fourths –

Identify and demonstrate fractions (1/2, 1/4) as parts of whole and parts of a set using concrete materials and drawings.

Lesson 3: Thirds –

Identify and demonstrate thirds and 1/3 of wholes using concrete materials and objects.

Lesson 4: Equal Fractions –

Identify equivalent fractional parts as a whole.

Chapter Test: Fractions

 Chapter 3: “Operations”

Lesson 1: Adding and Subtracting –

Demonstrate understanding of the meaning of addition and subtraction by using language such as put together, take away, increase, decrease, compare, and find the difference. Relate informal language to mathematical language and symbols.

Lesson 2: Place Value –

When given any number up to 100, identify one more than, one less than, 10 more than, and 10 less than.

Lesson 3: Equal Numbers –

Using diagrams and/or numerical expressions, represent equivalent forms of the same number up to 12.

Lesson 4: One-digit Addition –

Solve one-digit addition problems.

Lesson 5: One-digit Subtraction –

Solve one-digit subtraction problems.

Lesson 6: Sum of Three Addends –

Find the sum of three one-digit numbers.

Lesson 7: Two-digit Addition –

Solve two-digit addition problems.

Lesson 8: Zero as a Placeholder –

Explain the meaning of zero and its function as a placeholder. Explore adding and subtracting zero.

Lesson 9: Addition and Subtraction Strategies –

Solve for basic addition and subtraction facts by using strategies such as counting on, counting back, doubling, doubling plus one, and making ten.

Lesson 10: One-Digit Word Problems –

Solve addition and subtraction one-digit word problems by selecting the proper operation.

Lesson 11: Problem Solving Strategies –

Choose an appropriate method, such as using concrete materials, mental math, or paper and pencil to solve real-world addition and subtraction problems.

Lesson 12: Estimation Language –

Use the appropriate language of estimation such as about, near, closer to, and between to identify and describe numbers in real-world situations.

Lesson 13: Estimate –

Estimate reasonable answers to compare amounts, count objects, and solve basic facts.

Chapter Test: Operations

 Chapter 4: “Money”

Lesson 1: Coin Values –

Identify and name the values of coins (penny, nickel, dime) and show different combinations of coins that equal the same value, up to 75¢. Recognize and use the cents sign.

Lesson 2: Count Money –

Identify and count money to equal an amount using the fewest coins.

Lesson 3: Model Money Amounts –

Identify and count money to equal an amount using the fewest coins.

Lesson 4: Add and Subtract Money –

Solve simple addition and subtraction problems involving the use of pennies, nickels, and dimes up to 50¢.

Chapter Test: Money

 Chapter 5: “Patterns”

Lesson 1: Sort Using One Attribute –

Sort and classify objects by one attribute.

Lesson 2: Sort Using Two Attributes –

Sort and classify objects by two or more attributes.

Lesson 3: Rules for Sorting –

Justify rules for sorting and classifying.

Lesson 4: Build Patterns –

Use one attribute to create a pattern. Identify errors in repeating patterns.

Lesson 5: Classify Patterns –

Classify, describe, and extend patterns of objects using a wide variety of attributes (i.e., size, shape, color).

Lesson 6: Picture and Number Patterns –

Predict and extend pictorial patterns. Identify and generate patterns in number pairs by adding to a T-chart.

Lesson 7: Repeating and Growing Patterns –

Explore and create repeating patterns and growing patterns and generate rule for such patterns.

Lesson 8: Patterns on a Hundreds Chart –

Explore patterns of numbers on a hundreds chart.

Lesson 9: Skip Counting –

Use patterns to skip count by 2s, 5s, and 10s to 100. Understand and identify odd and even numbers.

Lesson 10: Extend Number Patterns –

Predict and extend existing numerical patterns using addition.

Chapter Test: Patterns

 Chapter 6: “Algebra”

Lesson 1: Order Property –

Use the Commutative Property of Addition in solving problems.

Lesson 2: Add and Subtract Numbers –

Using objects and pictures, model situations that involve the addition and subtraction of whole numbers.

Lesson 3: Fact Families –

Identify fact families by understanding the patterns in related addition and subtraction sentences.

Lesson 4: Number Sentences –

Using objects, create models that represent a variety of number sentences including the missing addend.

Lesson 5: Equal and Unequal –

Use concrete objects and pictorial representations to explore equalities and inequalities.

Lesson 6: Greater Than and Less Than –

Use concrete objects to solve number sentences with equalities and inequalities using the symbols <, =, >.

Lesson 7: Solve for Unknown Numbers –

Solve addition and subtraction problems with an unknown number represented by a geometric shape.

Chapter Test: Algebra

 Chapter 7: “Shapes”

Lesson 1: Straight and Curved Lines –

Compare plane figures based on their straight and curved lines.

Lesson 2: Open and Closed Shapes –

Identify open and closed figures.

Lesson 3: Plane and Solid Shapes –

Identify circles, triangles, and rectangles (including squares), and describe the shape of balls, boxes, cans, and cones. Sort shapes by attributes (sides, curves, corners).

Lesson 4: Special Plane Shapes –

Recognize plane shapes such as hexagons, trapezoids, and rhombi.

Lesson 5: Attributes of Plane Shapes –

Describe and compare attributes (sides, vertices, angles) of two-dimensional shapes.

Lesson 6: Name Solid Shapes –

Recognize solid shapes such as spheres, cylinders, cones, and cubes.

Lesson 7: Attributes of Solid Shapes –

Describe and compare attributes (edges, vertices, faces) of three-dimensional shapes.

Lesson 8: Congruent Shapes –

Identify congruent two- and three-dimensional shapes.

Chapter Test: Shapes

 Chapter 8: “Positions”

Lesson 1: Positions of Objects –

Describe relative positions of objects or shapes using words such as top, middle, on, inside, and outside.

Lesson 2: Direction Words –

Interpret directional words such as left, right, up, and down.

Lesson 3: Position Words –

Identify, locate, and move objects according to positional words such as to the left, above, and behind.

Lesson 4: The Number Line –

Locate, plot, and identify known and unknown numbers on a number line from 0 to 20 by ones and from 1 to 100 by tens.

Chapter Test: Positions

 Chapter 9: “Using Shapes”

Lesson 1: Slides and Turns –

Identify slides and turns with objects.

Lesson 2: Congruent Shapes –

Identify matching pairs of congruent figures that have been turned or flipped.

Lesson 3: Symmetry –

Identify lines of symmetry in two-dimensional shapes.

Chapter Test: Using Shapes

 Chapter 10: “Spatial Sense”

Lesson 1: Build Shapes –

Create two-dimensional and three-dimensional shapes using other shapes (e. g., two squares make a rectangle).

Lesson 2: Plane and Solid Shapes –

Recognize two- and three-dimensional shapes from various perspectives.

Lesson 3: Perimeter and Area –

Compare perimeter and area of two-dimensional shapes in terms of less than, equal to, or greater than.

Lesson 4: Shapes Around Us –

Recognize geometric shapes in the environment.

Lesson 5: Pattern Blocks –

Use pattern blocks to form shapes. Identify combined shapes in nature, art, and architecture.

Chapter Test: Spatial Sense

 Chapter 11: “Time”

Lesson 1: Calendar –

Identify the names of the week and months of the year using a calendar.

Lesson 2: Passage of Time –

Identify the keywords that name the passage of time such as yesterday, afternoon, night, and day.

Lesson 3: Tools for Telling Time –

Identify tools for measuring time such as clocks and calendars and name parts of each tool.

Lesson 4: Time to the Hour and Half-hour –

Tell time on analog and digital clocks to hour and half hour, and relate time events using shorter/longer.

Lesson 5: Time to the Hour and Half-hour –

Tell time on analog and digital clocks to hour and half hour, and relate time events using shorter/longer.

Lesson 6: Elapsed Time –

Solve simple real-world problems involving elapsed time to the hour and half hour and minutes.

Chapter Test: Time

 Chapter 12: “Length”

Lesson 1: Non-standard Units –

Use nonstandard units to estimate and measure lengths.

Lesson 2: Compare Lengths –

Compare the length of two or more objects by using direct comparison or by using nonstandard units.

Lesson 3: Customary Units –

Use customary units to measure, compare, and order objects according to lengths, in inches and feet.

Lesson 4: Tools and Units –

Choose the appropriate unit and tool to measure length.

Lesson 5: Metric Units –

Use metric units to measure, compare, and order objects according to lengths.

Chapter Test: Length

 Chapter 13: “Weight”

Lesson 1: Non-standard Units –

Use nonstandard units to estimate and measure weights.

Lesson 2: Compare Weights –

Compare the weight of two or more objects by using direct comparison or by using nonstandard units.

Lesson 3: Customary Units –

Compare the weight of two or more objects using customary units and identify the tools for measuring weight.

Lesson 4: Metric Units –

Use metric units to measure, compare, and order objects according to weights.

Chapter Test: Weight

 Chapter 14: “Capacity”

Lesson 1: Non-standard Units –

Use nonstandard units to estimate and measure capacity.

Lesson 2: Compare Capacity –

Compare the capacity of two or more containers using direct comparison.

Lesson 3: Customary Units –

Compare the capacity (in cups, pints, and quarts) of two or more containers. Identify the tools for measuring capacity.

Lesson 4: Metric Units –

Use metric units to measure, compare, and order objects according to capacity.

Chapter Test: Capacity

 Chapter 15: “Temperature”

Lesson 1: Measure Temperature –

Using a Fahrenheit thermometer, tell temperature to the nearest 10 degrees. Match temperature in degrees Fahrenheit to the feeling outside of a warm or cold day.

Lesson 2: Compare Temperature –

Compare temperatures in degrees Fahrenheit of two or more objects. Identify tools for measuring temperature.

Chapter Test: Temperature

 Chapter 16: “Graphing”

Lesson 1: Tally Table –

Sort objects into categories and create a tally table.

Lesson 2: Pictographs –

Organize and record data in pictographs.

Lesson 3: Bar Graphs –

Organize and record data in bar graphs.

Chapter Test: Graphing

 Chapter 17: “Using Data”

Lesson 1: Compare Data –

Interpret data and explore range and mode in simple graphs.

Lesson 2: Make Predictions –

Use data to make predictions about events or situations.

Chapter Test: Using Data

 Chapter 18: “Probability”

Lesson 1: Certain or Impossible –

Identify whether an event is certain, possible, or impossible.

Lesson 2: Most and Least Likely –

Identify the likelihood of a given event.

Chapter Test: Probability

Why Choose Time4Learning First Grade Math Homeschool Curriculum

Without a thorough understanding of foundational math skills, students will find it difficult to keep up with a first grade math curriculum. As we all know, in order to keep a young child engaged and to instill a lifelong love of learning they need to enjoy the lessons.

Time4Learning makes learning fun for first graders through interactive, multimedia-based lessons that feature colorful animations, funny characters, and catchy songs — all of which help children learn, retain information, and have fun. With a simple-to-follow format that builds on previous material, students are able to expand their knowledge and build their first grade math fluency in order to master concepts in number sense, addition, subtraction, estimation, money, patterns, and more.

In addition to providing an award-winning curriculum for students, Time4Learning can help your student achieve all their first grade math goals and objectives with our flexible, student-paced curriculum. It also offers convenient tools for parents that help you save time and homeschool with confidence. Learn more about our online first grade homeschool curriculum, designed to help your child learn and master their fundamental concepts.

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

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

Table of digits and classes of numbers in mathematics

Numbers and figures

Numbers are counting units. With the help of numbers, you can count the number of objects and determine various values.

Special characters are used to write numbers - numbers . There are ten of them in total: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0.

The natural numbers are the numbers that we use when counting. Here they are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, …

• One (1) is the smallest number, and there is no largest number.
• Zero (0) means no item. Zero is not a natural number.

The name of the number depends on the number of digits.

A number that consists of one character is called single digit . The smallest single-digit is 1, the largest is 9.

A number that consists of two digits is called two-digit . The smallest two-digit is 10, the largest is 99.

Numbers written with two, three, four or more digits are called two-digit , three-digit , four-digit or multi-digit . The smallest three-digit number is 100, the largest is 999.

Each digit in a multi-digit number takes a certain place - position .

Math Demo Lesson

Find out which topics are “lame” for you, and then analyze them without cramming formulas and boring lectures.

Classes of numbers

The digits in the notation of multi-digit numbers are divided from right to left into groups of three digits each. These groups are called classes . In each class, the numbers from right to left represent the units, tens, and hundreds of that class.

Class table:

Names of classes of multi-digit numbers from right to left:

• the first is the class of units,
• second - thousand class,
• third - million class,
• fourth - billion class,
• fifth - trillion class,
• sixth - quadrillion class,
• seventh - quintillion class,
• the eighth is the sextillion class.

To make it convenient to read a multi-digit number entry, a small gap is left between the classes. For example, to read the number 125911723296, it is convenient to first highlight the classes in it:

• 125 911 723 296.

And now read the number of units of each class from left to right:

• 125 billion 911 million 723 thousand 296.

When reading a class of units, there is no need to add the word "units" at the end.

Digits of numbers

The position of a digit in a number entry determines its value. For example:

• 1 123 contains: 3 units, 2 tens, 1 hundred, 1 thousand.

We can put it another way and say that in a given number 1123, the number 3 is in the ones place, 2 is in the tens place, 1 is in the hundreds place, and 1 is the value of the thousands place.

Let's clarify what a discharge is in mathematics. Digit is the position or location of a digit in a natural number notation.

Each category has its own name. The higher digits always live on the left, and the lower digits always live on the right. To remember faster, you can use a table.

The number of digits always corresponds to the number of digits in the number. This table has the names of all the digits for a number that consists of 15 characters. The following digits also have names, but they are rarely used.

The lowest (lowest) digit of a multi-digit natural number is the units digit.

The highest (highest) digit of a multi-digit natural number is the digit corresponding to the leftmost digit in the given number.

Bit units are designated as follows:

• Units are units of the first digit (or simple units) and are written in the first place on the right.
• Tens - units of the second digit and are written in the number in second place from the right.
• Hundreds are units of the third digit and are written in third place from the right.
• Thousand units are units of the fourth digit and are written in fourth place from the right.
• Tens of thousands are units of the fifth digit and are written in fifth place from the right.
• Hundreds of thousands - units of the sixth digit and are written in the number in the sixth place from the right, and so on.

Every three consecutive digits constitute a class. The first three digits: units, tens and hundreds, form a class of units (first class). The next three digits: units of thousands, tens of thousands and hundreds of thousands - form the class of thousands (second class). The third class will be units, tens and thousands of millions and so on.

Let's practice

Example 1. Write down the number containing:

1. 55 units of the second class and 100 units of the first class;


2. 110 units of the second class and 5 units of the first class;


3. 7 second class units and 13 first class units.

Answer:

1. 55 100;


2. 110 005;


3. 7013.

All bit units other than simple units are called compound units . Every ten units of any digit equals one unit of the next higher digit:

• 10 units equals 1 ten;
• 10 tens equals 1 hundred;
• 10 hundreds equals 1 thousand;
• 10 thousand equals 1 ten thousand;
• 10 tens of thousands equals 1 hundred thousand;
• 10 hundred thousand equals 1 million.

To find out how many units of any digit are in a number, you need to discard all the digits denoting units of the lowest digits and read the number that is expressed by the remaining digits.

Example 2. How many hundreds are there in 6284?

As we argue:

In the number 6284, the third place in the class of units is the number 2, which means that there are two hundred in the number.

The next digit from the left is 6, meaning thousands. Since every thousand contains 10 hundreds, there are 60 in 6 thousand of them.

This means that this number contains 62 hundreds.

The number 0 in any digit means the absence of units in this digit.

Simply put, the number 0 in the tens place means the absence of tens, in the hundreds place - the absence of hundreds, etc. In the place where 0 stands, nothing is said when reading the number:

• 11 627 - eleven thousand six hundred and twenty seven.
• 31 502 - thirty one thousand five hundred two.

To help you understand this topic, you can print out the Year 4 Grade Chart and refer to it if you have any problems.

Open mathematics lesson in grade 1 "Counting by tens and ones"

Open mathematics lesson in grade 1 "A"

Subject: Counting in tens and ones. (54-55)

Lesson objectives: 1. Create conditions for applying knowledge and skills in familiar and new situations.

2. Learn to add and subtract tens and ones.

3. Improvement of computing skills.

4. Development of interest in mathematics.

1. Personal UUD

2. Foreign UUD

Pupil develops skills:

• Take and maintain a given educational goal,

• Consider the duties of the teacher, the guidelines in the educational material,

• carry out final and step-by-step control over the result,

• make the necessary adjustments to the action after its completion based on its assessment and taking into account the nature of the mistakes made,

• adequately understand the assessment of an adult,

adequately understand the assessment of an adult,

9026 interact with adults and with peers in learning activities.

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to exercise educational and cognitive interest in learning at school,

4. Communicative UUD

A student is studying:

• listen to the interlocutor,

• ask questions,

• key words

• Forms of work: independent work, individual work, frontal work, in pairs, multi-level work.

• Type of lesson: ONZ ("discovery" of new knowledge)

Methods: problematic, partially exploratory, reflective.

Lesson steps

Lesson content	Comments on the lesson
Inclusion of students in educational activities at a personally significant level; definition of the content of the lesson.	- Guys, I'm glad to welcome you to the math lesson. I enjoy looking at your cute faces. Shake off the dream! We have a lot of interesting work. We will again learn new things, prove, argue, rejoice in successes, and we will cope with failures together. Let's all say the words together: I enjoy going to school. I want to learn, I really want to learn! Read the motto of the lesson: "If you know - speak, if you don't know - listen." So, what will our lesson be about? (Opening of new knowledge.	Slide No. 1 “You know, don’t know - listen.”
2. Enerived and fixing individual difficulties in the trial educational action. ( Including the inclusion students into learning activities at a personally significant level )	1.-What groups can they be divided into? Justify your decision (children come to the decision to combine all numbers into one group, models into another. -What groups can all numbers be divided into? (one-digit, round, two-digit) - What numbers can you work with? - What actions did you perform with them?0230 (add, subtract, expressed in tens and units)	Slide No. 2 Cards with single-digit, round, double-digit numbers expressed in tens and units, number models are scattered in disorder on the board.
3. Identification of the place and cause of the difficulty. (Fixing by children the place and causes of difficulties, development of communication skills).	Work in pairs. 1. You have cards with dots on your desk. (46) -Remember how to express a large number of items by increasing the counting units. -Who did the task cause difficulty? Why? - Don't you know how to express numbers in enlarged units? (we can). - What was the difficulty? - What is our goal? Learn how to draw two-digit numbers in a convenient way. Build a rule for addition and subtraction. -Record graphically using triangle models. -What did you get? - What do triangles mean, and dots? (tens, ones) - Is it convenient to use such a cumbersome notation? (no) - How can we write it down? (46) 2. Independent work (each student has cards with tasks 1) + = 2) - = 3) 3 + 5 =) -What did you notice? - Who has difficulties.	Slide #3 On the board: 46 scattered dots. Pupils: individual cards with dots
4. Building a project to get out of the difficulty "Discovery" of new knowledge. Learn how to represent numbers expressed in tens and units in a convenient way; construct a rule for their addition and subtraction	3- Let's open the textbook to p. 54, No. 1 - Review the notes, - Work in pairs - Complete the tasks under the letters "a", "b". - Operation check. (Children go out in pairs and write down the result on the board, prove their solution)	Slide No. 4 54 №1
Physical Minute The sun looked into the bed, One, two, three, four, five. We all do exercises, We need to sit down and stand up. Arms outstretched, One, two, three, four, five. Bend over - three, four. And jump on the spot. On the toe, then on the heel. We all do exercises.
5. Implementation of the constructed project. (Learn to fix new knowledge in external speech; apply them in solving examples.	3. - Now we will try to perform addition and subtraction operations using a graphical scheme and numerical expressions. – Review the Addition and Subtraction Sample #2 (Working on the interactive whiteboard) - Let's return to the example that caused difficulties. 2 = 7 4 - 3 = 1 3D 5E + 1D 2E = 4 D7 E 5D 4E - 2D 3E = 3D 1E
6. Primary consolidation with pronouncing in external speech.	4. Work in pairs No. 2 "a", "b" - Who did it on his own? -Who needs help guys? Verification of operation with speaking. - Who has done the task, can do it under "c", "g" - Who has done everything, can help his friend. - Function test . -What conclusion can you draw: We add tens to tens, units to units
7. Independent work with self-test according to the standard. ( Self-checking one’s own work, identifying gaps and ways to solve them.	Independent work No. 3 p.55 Checking work according to the standard. Fixing correct and incorrect solutions in work. Analysis of errors. Self assessment. - What succeeded, what did not succeed, what is the reason, what needs to be sorted out, who to ask for help) =2e 0e 3e 5e +2e 4e =5e 9e 7e 2e +2e 0e =9 e 2e
8. Inclusion in the knowledge system and repetition. (Ability for oral calculations based on knowledge of the rules for adding and subtracting numbers expressed in tens and ones).	Solution of examples 2d 4e + 3d1e – 2d3e = 3d 2e Verification of work with pronunciation.
9. Reflection of learning activities in the classroom. (Fix new content learned in the lesson; evaluate your work in the lesson, outline ways to solve problems).	- What did you learn in the lesson? -What was your goal? (Learn to draw two-digit numbers in a convenient way. Learn more Lesson plans for syllables Long nursery rhyme Dramatic play areas for preschool Why is emergent literacy important Fun lessons for kindergarten How to help your child with reading Helping reading comprehension Trick word games Word with long a sound list Colour activities for kindergarten Teach baby colors