Algebra for first grade

In second grade, students used rectangular arrays to find the total number of objects, and wrote equations to represent the sum, such as a 5 x 5 array could be written as 5 + 5 + 5 + 5 + 5 = 25. See the modules at EngageNY for resources teaching algebraic thinking for third grade students. Students use the properties of multiplication (commutative, associate, and distributive properties) as they multiply and divide, and understand part/part/whole relationships as they make the connections between multiplication and division. To develop algebraic thinking and reasoning, students explain an arithmetic pattern using the properties of operations.

Algebraic thinking is a Domain throughout the mathematics standards. Beginning in kindergarten, students solve addition and subtraction problems by representing them in various ways. Additionally, they learn about basic operations and quantitative relationships as they model problems and look at mathematical properties and relationships (Stramel, 2021). Read more about Operations and Algebraic Thinking in the K-5 Learning Progressions document.

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

Algebra: lessons, tests, assignments.

• Items

1. 1. Numeric expressions. Algebraic expressions

   2. Mathematical language

   3. Mathematical models of real situations

   4. Linear equation with one variable.

      Solution algorithm

   5. coordinate line. Numeric spans

2. 1. Coordinate plane. Point coordinates

   2. Linear equation ax + by + c = 0. Linear equation graph

   3. Linear function y = kx + m.

      Linear function graph

   4. Linear function y = kx, its properties

   5. Mutual arrangement of graphs of linear functions

3. 1. The concept of a system of linear equations with two variables

   2. Solving systems of linear equations.

      Substitution method

   3. Solving systems of linear equations. Addition method

   4. System of linear equations as a mathematical model

4. 1. The concept of a degree with a natural indicator

   2. Commonly used degrees

   3. Basic properties of degrees with a natural exponent

   4. Multiplication and division of powers with the same natural exponents

   5. The concept of a degree with a zero exponent

5. 1. The concept of a monomial.

      Reduction of a monomial to standard form

   2. Addition and subtraction of similar monomials

   3. Product of monomials and raising a monomial to a power

   4. Division of monomials

6. 1. The concept of a polynomial.

      Reducing a polynomial to standard form

   2. How to add and subtract polynomials

   3. How to multiply a polynomial by a monomial

   4. How to multiply a polynomial by a polynomial

   5. Application of abbreviated multiplication formulas

   6. How to divide a polynomial by a monomial

7. 1. The concept of factoring polynomials

   2. Factorization.

      Taking the common factor out of brackets

   3. Factorization. Grouping method

   4. Factorization. Using Abbreviated Multiplication Formulas

   5. Factorization. A combination of different methods

   6. Applying Factoring to Reduce Algebraic Fractions

   7. The concept of identity

8. 1. Quadratic function y = x² and its graph

   2. Solving Equations Graphically

   3. Writing a function in the form y \u003d f (x)

9. 1. Digital Olympiad

   2. International Olympiad YaKlass

1. 1. The concept of algebraic fraction

   2. Application of the basic property of an algebraic fraction

   3. How to add and subtract algebraic fractions with equal denominators

   4. How to add and subtract algebraic fractions with different denominators

   5. How to multiply, divide and raise algebraic fractions

   6. Simplifying Rational Expressions

   7. Solution of rational equations

2. 1. Sets of natural numbers, integers, rational numbers

   2. Set of rational numbers

   3. The concept of a square root

   4. The concept of an irrational number

   5. The set of real numbers and its geometric model

3. 1. Modulus of a real number and its geometric meaning

   2. Square root function y = √x, its properties and graph

   3. Basic properties of square roots

   4. Transformation of irrational expressions

4. 1. Quadratic function y = ax² and its properties.

      Parabola

   2. The function y = k/x and its properties. Hyperbola

   3. How to plot a function y = f(x + l)

   4. How to plot a function y = f(x) + m

   5. How to plot a function y = f(x + l) + m

   6. Quadratic function y = ax² + bx + c

   7. Solving quadratic equations using function graphs

5. 1. What are quadratic equations

   2. Ways to solve quadratic equations

   3. Solving a rational equation that reduces to a quadratic one

   4. Using Rational Equations to Solve Problems

   5. Simplified formula for solving a quadratic equation

   6. Application of Vieta's theorem

   7. Solving an irrational equation that reduces to a quadratic one

6. 1. The concept of numerical gaps

   2. Properties of numerical inequalities.

      Properties of inequalities of the same meaning

   3. How to solve a linear inequality

   4. Methods for solving quadratic inequalities

   5. The concept of monotonicity of a function. Investigation of functions for monotonicity

   6. Approximate values ​​by deficiency (by excess)

   7. The concept of a degree with a negative integer exponent

   8. Standard form of a positive number

7. 1. Digital Olympiad

   2. International Olympiad YaKlass

1. 1. Repetition of ways to solve linear and quadratic inequalities

   2. Solving rational inequalities by the interval method

   3. Sets and subsets.

      Union and intersection of sets

   4. Systems of rational inequalities

2. 1. The concept of a system of rational equations

   2. Methods for solving systems of rational equations

   3. Using systems of rational equations to solve problems

3. 1. Definition of a numeric function and how to define it

   2. Main function properties

   3. Even and odd functions.

      Definition of even and odd

   4. Power function with natural exponent

   5. Power function with negative integer exponent

   6. cube root function

4. 1. The concept of a numerical sequence.

      Sequencing Methods

   2. Arithmetic progression. Properties of an arithmetic progression

   3. Geometric progression. Properties of a geometric progression

5. 1. Elements of combinatorics. Combinatorial problems

   2. Elements of statistics.

      Information processing methods

   3. Elements of the theory of probability. Finding the Probability

   4. Relative frequency and statistical probability of an event

6. 1. International Olympiad YaKlass

1. 1. Integers.

      Repetition

   2. Rational numbers. Repetition

   3. Irrational numbers. Repetition

2. 1. Reversible and inverse functions

   2. The concept of a periodic function (profile)

3. 1. Number circle on the coordinate plane

   2. Finding the values ​​of sine and cosine, tangent and cotangent

   3. Numeric argument of trigonometric functions

   4. Angular argument of trigonometric functions

   5. Properties of the function y = sin x and its graph

   6. Properties of the function y = cos x and its graph

   7. Periodicity of trigonometric functions, even, odd

   8. Harmonic vibrations (profile)

   9. Properties of functions y = tg x, y = ctg x and their graphs

   10. Functions y = arcsin a, y = arccos a, y = arctg a, y = arcctg a (profile)

4. 1. Arc cosine and solution of the equation cos x = a

   2. Arcsine and solution of the equation sin x = a

   3. Arc tangent and arc tangent.

      Solution of the equations tg x = a, ctg x = a

   4. Methods used to solve trigonometric equations

5. 1. Formulas for the sine of the sum and difference, the cosine of the sum and difference

   2. Tangent of sum and difference

   3. Casting formulas.

      General rule

   4. Formulas for sine, cosine, tangent of a double angle

   5. Reduction formulas, or half angle formulas (profile)

   6. Formulas for sums of trigonometric functions

   7. Formulas for products of trigonometric functions

   8. Auxiliary angle introduction method (profile)

6. 1. Numeric sequences and their properties

   2. The concept of the limit of a numerical sequence

   3. How to find the sum of an infinite geometric progression

   4. Limit of a function at a point.

      Limit of a function at infinity

   5. Definition of a derivative. Geometric and physical meaning of the derivative

   6. Calculation of derivatives. Differentiation rules

   7. How to get the equation of the tangent to the graph of a function

   8. Investigation of functions for monotonicity and extrema

   9. Investigation of convexity and inflection, plotting functions

   10. Using the derivative to find the largest and smallest values

1. 1. The concept of the nth root of a real number

   2. nth root function

   3. Properties of the root of the nth degree.

      Transformation of irrational expressions

   4. Ways to simplify expressions containing radicals

   5. The concept of a degree with a rational exponent, properties of degrees

   6. Properties of power functions and their graphs

2. 1. Properties of an exponential function and its graph

   2. Methods for solving exponential equations

   3. Methods for solving exponential inequalities

   4. The concept of a logarithm.

      Basic logarithmic identity

   5. Properties of a logarithmic function and its graph

   6. Basic properties of logarithms

   7. Methods for solving logarithmic equations

   8. Methods for solving logarithmic inequalities

   9. Transition to a new base of the logarithm

   10. Systems of exponential and logarithmic equations

   11. Systems of logarithmic and exponential inequalities

   12. Derivative of exponential and logarithmic function

3. 1. The concept of antiderivative

   2. Indefinite and definite integrals.

      Integration methods

   3. Calculating areas using integrals

4. 1. Sum rule

   2. product rule

   3. Permutations.

      Permutations without repetition

   4. Accommodations. Placements with repetitions

   5. Combinations and their properties

   6. Pascal's triangle. Binomial theorem

5. 1. What are random events?

   2. Event combinations.

      Opposite events

   3. Event Probability

   4. Addition of probabilities

   5. independent events. Probability multiplication

   6. Statistical Probability

6. 1. random variables

   2. Central trends

   3. Scatter measures

   4. Probability distribution law.

      Law of Large Numbers

7. 1. Equivalence of equations. Equivalence theorems for equations

   2. General methods for solving equations

   3. Equivalence of inequalities. Systems and collections of inequalities

   4. Equations and inequalities with two variables

   5. General methods for solving systems of equations

   6. Equations and inequalities with a parameter

1. Collection of interactive models

Algebra tutors in Ivanovo

11713

The site Repetit. ru has a database of experienced tutors in algebra. Classes will be useful for those who want to improve their knowledge, eliminate gaps in knowledge and prepare for university entrance. When choosing a teacher, pay attention to the professional achievements of teachers, lesson prices and student reviews.

Expand

Popular categories of math tutors: Preparation for the exam Preparation for the OGE (GIA) School course Tutors at home Skype lessons Higher Mathematics

Found 11713 tutors

Reset filters

Julia Konstantinovna

school teacher Experience 16 years

from 1,000 rubles / hour

Sofia Alexandrovna

school teacher Experience 5 years

The tutor has a video presentation watch video presentation

from 1 100 rubles / hour

Tatyana Borisovna

Private teacher Experience 46 years

from 700 rubles / hour

Daria Andreevna

Private teacher Experience 3 years

from 2,000 rubles / hour

Irina Vladimirovna

school teacher Experience 19 years

from 600 rubles / hour

Anastasia Nikolaevna

Student Experience 4 years

from 600 rubles / hour

Andrey Vladimirovich

Private teacher Experience 30 years

from 700 rubles / hour

Alexey Gochevich

Student Experience 4 years

from 400 rubles / hour

Alexey Petrovich

school teacher Experience 20 years

from 600 rubles / hour

Anna Vasilievna

school teacher Experience 19 years

from 550 rubles / hour

Algebra tutor reviews

The tutor is competent, attentive, explains the material well. The school was invited to an elective in mathematics, so they stopped classes. If there are any problems, we will definitely return to this teacher.

Keulimjay Barlykovich is an excellent teacher! He quickly found an approach to the child, managed to interest the subject. We are engaged with pleasure and the first results have appeared. This week 5 in Algebra and 5 in Geometry. Many thanks for the help!

We thank Elena Dmitrievna for preparing for the exam. She is a true professional in her field. The teacher achieved a complete understanding of the topic. Constantly there was a check of assimilation and fixing of the passed material. The lessons were meaningful. I definitely recommend Tutor!

• Moscow and Moscow region
• St. Petersburg and Leningrad region
• Abakan and the Republic of Khakassia
• Anadyr and Chukotka Autonomous Okrug
• Arkhangelsk and Arkhangelsk region
• Astrakhan and Astrakhan region
• Barnaul and Altai Territory
• Belgorod and Belgorod region
• Birobidzhan and Jewish Autonomous Region
• Blagoveshchensk and Amur Region
• Brest and Brest region
• Bryansk and Bryansk region
• Velikiy Novgorod and Novgorod region
• Vitebsk and Vitebsk region
• Vladivostok and Primorsky Krai
• Vladikavkaz and Rep. North Ossetia Alania
• Vladimir and Vladimir region
• Volgograd and Volgograd region
• Vologda and Vologda region
• Voronezh and Voronezh region
• Gomel and Gomel region
• Gorno-Altaisk and the Republic of Altai
• Grodno and Grodno region
• Grozny and Republic of Chechnya
• Yekaterinburg and Sverdlovsk region
• Ivanovo and Ivanovo region
• Izhevsk and the Udmurt Republic
• Irkutsk and Irkutsk region
• Yoshkar-Ola and the Republic of Mari El
• Kazan and the Republic of Tatarstan
• Kaliningrad and Kaliningrad region
• Kaluga and Kaluga region
• Kemerovo and Kemerovo region
• Kirov and Kirov region
• Kostroma and Kostroma region
• Krasnodar and Krasnodar Territory
• Krasnoyarsk and Krasnoyarsk Territory
• Mound and Kurgan region
• Kursk and Kursk region
• Kyzyl and Republic of Tyva
• Lipetsk and Lipetsk region
• Magadan and Magadan region
• Maykop and the Republic of Adygea
• Makhachkala and the Republic of Dagestan
• Minsk and Minsk region
• Mogilev and Mogilev region
• Murmansk and Murmansk region
• Nazran and Republic of Ingushetia
• Nalchik and Kabardino-Balkarian Republic.
• Naryan-Mar and Nenets Autonomous Okrug
• Nizhny Novgorod and Nizhny Novgorod region
• Novosibirsk and Novosibirsk region
• Omsk and Omsk region
• Eagle and Oryol region
• Orenburg and Orenburg region
• Penza and Penza region
• Permian and Perm region
• Petrozavodsk and Republic of Karelia
• Petropavlovsk-Kamchatsky and Kamchatka
• Pskov and Pskov region
• Rostov-on-Don and Rostov region
• Ryazan and Ryazan region
• Salekhard and Yamalo-Nenets Aut. county
• Samara and Samara region
• Saransk and Republic of Mordovia
• Saratov and Saratov region
• Sevastopol
• Simferopol and Republic of Crimea
• Smolensk and Smolensk region
• Stavropol and Stavropol Territory
• Syktyvkar and Komi Republic
• Tambov and Tambov region
• Tver and Tver region
• Tomsk and Tomsk region
• Tula and Tula Region
• Tyumen and Tyumen region
• Ulan-Ude and Republic of Buryatia
• Ulyanovsk and Ulyanovsk region
• Ufa and Republic of Bashkortostan
• Khabarovsk and Khabarovsk Territory
• Khanty-Mansiysk and Khanty-Mansiysk Aut.

  ---

  Learn more

  • 
    Girls bed time stories
  • 
    Writing for fun
  • 
    Letters and sounds for kindergarten
  • 
    Keeping toddlers entertained at home
  • 
    Hooked on phonics reviews toddlers
  • 
    Everyday math for 1st grade
  • 
    Math lessons for 1st graders
  • 
    Sounds and letters games
  • 
    Vocabulary words for preschoolers
  • 
    Writing games for toddlers
  • 
    Teachers reading to children