## Math textbook for first grade. Basic Level

### Comparing

1. What are they similar to? What are the differences?

2. Find seven differences.

3. Look and place the chips: girl – G, boy – B.

How many girls? How many chips G?

How many children? How many chips B?

4. Into which groups can objects be divided?

Name each toy.

Show as many fingers as there are pieces of furniture.

### Comparing

- Make sentences with the words
**above, below, thicker, thinner.**

The spruce is **below** the birch.

The birch is **above** the spruce.

2. Name the colors of the pencils in order, starting with the shortest.

Which pencils are **longer** than green?

Which pencils are **shorter** than blue?

Which pencils are **between** yellow and blue ?

3. Take the shapes, name them.

Compare the shapes. Use the words **shape, color, size**.

4. Distribute the shapes into three groups; into two groups.

5. Look and point with your fingers. How many?

6. Listen and point with your fingers. How many?

There are three fish in the aquarium.

Ben has five toy cars.

There are seven little rabbits in the cage.

### Call them in order. From left to right. From right to left

- The trolleybus is going
**from right to left**. In which direction are the other cars going?

The trolleybus is going **from right to left**, and the cars are going **from left to right**.

Create other sentences.

2. Name the colors of the balls from left to right.

Name the color of each ball, starting with the largest one.

3. What groups of things can be distinguished?

Show as many fingers as you can draw summer clothes

4. Did the characters of the fairy tale pull the turnip in the correct order? Name the correct order.

How many characters pulled the turnip? How to count?

### Introducing the table

- In the top row of the table pear and apple. What is in the bottom row?

In the left column pear and tomato. What is in the right column?

2. Arrange the figures in the big table like this:

Where is each of the figures located? Use the words **row, column, top left, bottom left, top right, bottom right.**

How are the figures in the bottom row similar and different?

3. Look and show your fingers. How many fingers? How many boys?

4. Listen and show your fingers. How many?

In the bouquet: poppy, bellflower, cornflower.

Ben has toys: two dinosaurs and a robot.

In the box with chicks: three black and two yellow.

5. Who is running **in front** of the bear? Name each one.

Who is running first; second; last?

Who runs **between** a cat and a wolf? Between a hare and a bear? And does anyone run between a wolf and a fox?

### Comparing

**Inside**or**outside**the “ring” is a paratrooper in a blue suit?

Where is the paratrooper in a red suit?

2. Show and name each figure inside the “ring”, outside the “ring”.

3. Which cars are driving from right to left? How many of them?

Show the same number of fingers.

How many cars are driving from left to right? Show the same number of fingers.

Which cars are more?

4. Show as many fingers as candles; candies; apples.

How many apples will be left on the plate, if Ben eats two apples; Maria takes three yellow apples and puts one green apple on the plate?

5. Maria and Jhon have Show the same number of fingers as shown in the picture.

6. How are the cubes arranged? Use the words **above, below**.

The “car” **only** changes **the size** of the figures. Lay out the figures on the right that will come out of the “car”. Name the figures in pairs.

### Working with numbers from 1 to 5

- How many?

2. Count the fruits again.

3. Between which numbers do you say the number 2; the number 4 when counting?

4. Name the number of each athlete.

After a while, the athletes ran in this order: 1, 2, 3, 4, 5. Who is behind whom?

Create your own task.

5. Create sentences. Use words **longer, shorter**.

True or false?

Zucchini is shorter than cucumber.

Corn is longer than carrot.

### Working with numbers from 6 to 9

2. Which numbers are missing on the number line?

3. True or false?

7 is to the right of 6 9 is to the right of 6 5 is to the right of 3

6 is to the left of 7 6 is to the left of 5 1 is to the left of 6

4. The football players’ jerseys have numbers from 1 to 9. What number does the boy with the ball have? Explain your answer.

Create questions with the words **“how many” and “between”.**

5. Why is the top left of the table circle?

Draw the figures in the table. What is in the top right; bottom left?

6. Listen and show me how many fingers.

Three little mice gnaw the crust. And four clean the burrow.

Come up with a question.

### Constructing

- Explain how the figure on the right was composed.

**Took Turned Connected**

2. Compose figures.

3. Compose a figure from the parts.

4. Create sentences with the words **inside and outside**.

Name each number inside the “ring”, outside the “ring” in counting order. Begin with the number 1.

5. Each table should have numbers from 1 to 9 written on it. Which numbers are missing?

6. Which numbers are between 2 and 7; between 4 and 8?

True or false?

8 is between numbers 2 and 7

5 is between numbers 4 and 8

### Learning addition

- How many apples? How many pears? How many fruits?

2. How many total? How to count?

Four plus two equals…

3. What numbers are missing on the number line?

True or false?

8 is to the right of 7 3 is between numbers 2 and 4

8 is to the left of 9 7 is between numbers 8 and 9

4. Name the vegetables in order, starting from the heaviest.

### Finding the figures

1.Find 3 triangles.

2. How many triangles?

3. Is it true that you can find 4 triangles in each figure?

4. listen and point with your fingers. Answer the question.

Ben, Jhon, Michael — a volleyball team.

William and Liam are substitutes for now.

And when they learn, how many of us will there be?

5. Listen and show on your fingers how many circles are in each picture.

6. Listen and point with your fingers.

2 girls and 6 boys are singing.

Seven children are jumping. Among them are 3 boys and 4 girls.

4 girls and the same number of boys are dancing.

Out of three children, one is a girl, and the rest are boys.

### “Stepping” along the number line. To the right. To the left

- The chick took a “step”.

** Right Left**

How many “steps” from the number 3 to the number 5; from the number 4 to the number 2?

How many “steps” from the red to the blue dot?

Think of other questions.

2. Create sentences. Use the words **right, left**.

From the number 2 to the number 4, there are two “steps” **to the right**.

3. Create sentences.

From the number 6 to the number 4, there are two “steps” **to the left**.

4. Maria and Ben handed out

How many pencils can Maria have; Ben?

Read **all** the solutions like this:

5. How are the cubes arranged in the tower? Use the words **above, below**.

What other towers can you build from these cubes?

Name the color of each cube tower from bottom to top.

### Learning subtraction

- How many flowers in each bouquet?

Took a poppy. Took daisies.

How many flowers will remain in one bouquet without poppies and daisies? Choose a card with chips.

2. How many cars are in the red “circle”? How many cars will remain in the red “circle”?

3. How many were there? How many are left?

4. Explain how to find the number. Use the words **right, left**.

Check which card was not used.

### Comparing

- How to determine what is more – cups or saucers?

2. Check, correct or incorrect.

There are **more** spoons than teapots.

There are **fewer** teapots than spoons. There are as many forks as cups.

Create other sentences.

What objects are there as many as cups?

How many cups **and** teapots are there?

How many teapots **and** spoons are there?

3. Pick cards with chips.

Masha made 4 paper boats and 2 baskets, and Dima made 6 toys: boats and baskets. Dima made as many baskets as boats.

There were 6 rabbits in the cage. 2 rabbits ran away. How many rabbits are left?

What is true?

4. Which cube is bigger than blue and smaller than green?

Which cube is to the right of red and to the left of green?

Which cube is not blue, red or yellow?

5. This “machine” **only** changed **the shape** of the figures.

Name the figures in pairs. Is everything correct in the picture?

6. How many more green balls are there than red ones?

How many fewer red balls are there than green ones?

There is **1 more** green ball than red ones.

There is **1 fewer** red ball than green ones.

7. Come up with questions using the words “**how many**“.

8. How many turnips? How many more turnips than tomatoes? Come up with other questions.

How many children can each take one tomato and one carrot together?

9. Pick a card with chips.

Maria picked 4 eggplants from the bed and the same number of cucumbers.

Ben picked 6 cucumbers: 4 large ones, and the rest were small.

10. Nora and Ryan took

How many apples can Nora have? How many apples can Ryan have?

### Getting ready to solve problems

- Come up with a question for each picture. Explain how to get the answer.

2. Come up with a question for each picture.

3. How many triangles? How to count?

4. Is it true that you can find 4 triangles in each shape?

### Preparing to solve problems

- Ben arranged toys on two shelves. How can Ben do this?

2. Select the recording for each picture.

8 – 2 = 6 6 + 2 = 8

3. Form sentences with the words **“less”, “more”**.

4. Fill in the empty cells.

5. By what characteristics can objects be grouped?

### Add numbers

- How many tigers? How many lions?

How many animals?

Let’s read the notation: **adding** four and three will result in seven.

2. How many flowers will the clown receive as a gift?

Read the notation.

3. How many large and small berries? Create and read the notation.

4. Come up with questions with the word **“how much”**. Make notes.

5. Is it true that you can find 5 triangles in this figure?

6. What is inside the red “ring”? What is outside of it?

What is inside the green “ring” but outside of the red one?

What is inside the red and inside the green “ring”?

7. Draw the figures.

Inside the blue “ring” but outside the red one.

Inside the blue “ring” and inside the red one, outside the blue “ring” and outside the red one.

Is it true that the red square is inside the green “ring”; the yellow circle is inside the green “ring” and inside the red one?

Where are the other figures located?

8. This “car” **only** changed **the size** of the figures. Draw the figures on the left that were introduced into the “car.” Name the figures in pairs.

### Subtracting numbers

- How many chicks pecked the grain? How many chicks ran away?

How many chicks are now pecking the grain?

Let’s read the sentence: **subtracted** from seven, three equals four.

2. Create and read the sentences.

3. Come up with a question for each picture using the schema.

4.How many more nuts than pine cones? Come up with other questions with the words **“how much”**.

5. Come up with questions for each scheme.

### Distinguishing numbers and digits

This number of cars can be called **“five”** and written as the digit **5**.

- How many digits? How many different digits? How many times is the digit 3 recorded? How many times is the digit 6 recorded?

2. Ben first learned to write the digits 1, 2, 3, 4, and then the digits 5 and 6. How many digits can Ben write?

3. How many nuts?

How can the squirrel hide all the nuts in two hollows?

4. Explain how to arrange the figures in the table.

For example, yellow triangle is in the top row, in the left column.

5. This “machine” **only** changes **the size** of the figure. Arrange the figures on the left that were introduced to the “machine”.

Name the figures in pairs.

Check if these pairs were formed.

### Getting to know the number and the digit 0

- There were some buns on the plate. All the buns were eaten. How many buns are left on the plate?

2. How many were there? How many are there now?

3. Read the numbers. Which number from 1 to 9 is missing?

1, 2, 3, 6, 8, 4, 9, 5 1, 3, 6, 4, 2, 9, 8, 7

4. How many berries are on the first and third bushes?

Come up with other questions.

5. Come up with questions using the word **“how many”**.

How many birds are on the two branches? Explain how to count.

6. Make records.

### Measuring length in centimeters

It is **the line segment**.

The length of one segment is **one centimeter**.

- How to measure the length of a segment using a ruler?

The length of the segment is 3 cm.

2. Name the length of the key. Measure the lengths of the other objects and segments.

3. How many berries are on the first and third bushes? Come up with other questions.

4. Come up with questions using the word **“how many”**.

How many birds are on two branches? Explain how to count them.

5. Make records.

### Measuring in centimeters

- Compare the lengths of the segments. Use the words
**“longer”, “shorter”**.

Determine the lengths of the segments visually. Verify with measurement.

2. What numbers are between the numbers 0 and 3, 0 and 6, 0 and 9?

3. Which of the marked numbers is closer to the number 0; farther from the number 0?

4. Come up with a question for each picture. Use drawings.

5. Create sentences with the words below, above.

The fir tree is **below** the pine tree.

The fir tree is **above** the birch tree and **above** the rowan tree.

### Increasing, decreasing a number by 1

- Explain how you can get the answer.

4 and 1 is 5 4 without 1 is 3

Get the answer in different ways.

5 + 1 5 – 1 8 + 1 8 – 1

2. What shapes do you need to put in the empty cells of the table?

3. Create a record from mosaic pieces. Read it.

### Increasing, decreasing a number by 2

1. Find the answer in different ways.

3 + 2 6 – 2

6 + 2 9 – 2

2. Read the equation and state the answer.

Create other equations with the numbers 4 and 5.

3. Make up questions and create equations.

4. Which card has all the numbers?

### Working with the number 10

- Take 10 pencils of different colors. How many red pencils can there be? How many yellow?

2. How many “steps” from number 9 to number 10, from number 8 to number 10, from number 7 to number 10?

3. Which number is to the right on the number line – 0 or 10, 10 or b? Which number is to the left – 5 or 10?

4. Which numbers are missing?

5 and this is 10 8 and this is 10

4 and this is 10 9 and this is 10

7 and this is 10 6 and this is 10

5. Read the numbers. Which number is the first, which is the farthest to the left on the number line?

6. In the top row of the table – toys.

What objects are in the bottom row?

Hoop is on the top left. Where is the kettle?

Make up other questions.

Which objects are drawn neither in the bottom nor in the top row; neither in the left nor in the middle column?

7. Create questions based on the picture.

### Measuring length in decimeters

- Measure the lengths of objects. Name the length of the segment in centimeters.

The length of the segment is 10 cm or **one decimeter**. 1dm = 10 cm

2. Measure the distance between the points.

Between which points is the distance 1 dm; less than 1 dm?

3. Create questions for the statements.

4. Name the results.

In which column are the answers arranged in the order: 5, 6, 7, 8? And in the order: 8, 7, 6, 5?

Is it true that there is no entry with a result of 6 in the first column?

5. Create a question for each picture.

### Getting to know polygons

- Draw these shapes from the set.

Triangle Quadrilateral Pentagon

All these shapes are **polygons**.

2. The blue polygon is a heptagon. Name the other shapes. You can cut out these shapes.

3. Take a pentagon.

Select all pentagons of the same size.

4. Select only polygons. Group them.

5. Select a picture for each statement.

6. Name the results.

### Getting to know the problem

- The problem has a condition and a question.

**Problem**

**Condition**. Ben found 7 mushrooms and Maria found 3 mushrooms.

**Question**. How many mushrooms did the children find?

2. Determine which sentence is a condition, and which sentence is a question.

Ben and Jhon have 9 cars.

Isaac has 5 cars.

How many cars does Issac have?

How many boys and girls went for a walk?

How many years older is the sister than the brother if she is 8 years old and he is 5 years old?

Maria has 4 dolls.

3. Complete the task based on the picture.

There were … on the parking lot. Then 2 cars left. I How many …?

4. State the next number.

1, 2, 3, 4, … . 7, 6, 5, 4, … .

5. Arrange the figures in the table.

6. Maria and Ben have three squares each.

Maria gave one square to Ben. How many more squares does Ben have than Maria? Come up with other questions.

7. Elizabett, Nora, and Zoe each took one figure.

Elizabett did not choose a circle or a triangle. Nora did not choose a triangle. Which figure did each girl take?

### Solving Problems

- There are 5 berries on one bush and 4 berries on another. How many berries are there on two bushes in total?

How to solve the problem?

2. There are 6 berries on the bush. 3 berries ripened. How many berries are not ripe yet?

How to solve the problem?

3. Choose a solution to the problem.

Katya drew 8 flowers.

1 of them is a poppy, the rest are roses. How many roses did Katya draw?

Dasha drew 8 roses and 1 poppy. How many flowers did Dasha draw?

4. How many cakes? How many candies?

How many fewer cakes are there than candies?

How many more cakes are there than candies?

Which of these questions cannot be answered? Explain.

5. Read the record and name the result.

Create records with other numerical data.

6. Find the distance between points of the same color.

The distance between blue points is 6 cm.

### Solving problems

- Choose a record. Invent a problem about it based on the picture.

Use the words how** much, become, remain**.

2. Which problem is solved as follows: **? + 2 = ?**

1) There are 6 balls in two baskets. One basket has 2 balls. How many balls are in the other basket?

2) After buying notebooks, the brother had 5 rubles left, and the sister had 2 rubles. How much money does the brother and sister have left together?

3) 7 houses were built on two streets in the city. 2 houses were built on one of them. How many houses were built on the other street?

3. How many “steps” are there from each of the marked numbers to the number 6?

4. What number is written to the left on the ruler?

8 or 9 8 or 7 9 or 2 6 or 7

3 or 6 0 or 1 3 or 7 10 or 9

5. How many triangles are there in each of the pictures – 4 or 5?

6. Determine without a ruler between which points is the greatest distance. Verify the answer by measuring it.

7. Create a record from the mosaic parts. Read it.

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