Children

Pi Number

The secret of the wheels Change the diameter and compare C/d. The contour changes, but the ratio in the model remains π. Explore the controls and explain what changed in your own words. Ative o JavaScript para ver esta figura interativa. Archimedes’ constant, known as pi (Π) was widely studied in Greece (around the 3rd century BC). It all started with the study of one of the most important figures in geometry, which is the circle. This constant is obtained by the ratio ($\div$) of the length of the circumference and the diameter.

September 20, 2022 Read

Introduction to Irrational Numbers

In this group of posts the objective is to present non-rational numbers, which we call irrational. For this it is important to talk about the Pythagorean constant $\sqrt{2}$. Until the emergence of this constant, the Pythagorean school followed in the footsteps of the Sumerians, Plato’s academy, Alexandria’s school, among others. Historical definition of the Square Root In introductory posts, we saw concepts of square root, which is nothing more than the side of the square.

September 19, 2022 Read

Graphs for integers

A function graph with integer inputs Compare this dot plot with the bar graphs in class. Here, each pair represents an input x and an output f(x); In a bar chart, the horizontal axis can also represent categories. Em telas pequenas, deslize o gráfico na horizontal para ler os detalhes. Change the rule and look at the table. We do not connect the dots when the domain is ℤ. Ative o JavaScript para ver esta figura interativa.

September 16, 2022 Read

Classification in mathematics

Classification is a very important topic, used since the Greeks with Archimedes. In biology, for example, classification is done by groupings, which organize living beings into categories such as kingdom, phylum, class, order, family, genus and species. In mathematics, this first contact with classification is the grouping of numbers into sets. Next, let’s talk about classification in terms of groups and categories. Groups In this section we will talk about groups in terms of classification and not group theory, which is an abstract theory and will be covered in pure mathematics or history of mathematics. This theory is not for children yet.

September 15, 2022 Read

Power with Negative Exponent

The concept of exponent, as said, began with Archimedes, who when studying volumes, obtained a very, very large number as said in another introductory power post. In this post, we will talk about powers for negative exponents. Negative Exponents On this site we talk about power with an integer exponent, however, we do not talk about negative exponents, as the result is a rational number, which was part of the context.

September 14, 2022 Read

Cartesian Plane

Coordinates you can test Choose an entire entry. The horizontal position is x; the vertical is f(x). Find the point (−2, −5) using a = 2 and b = −1. Em telas pequenas, deslize o gráfico na horizontal para ler os detalhes. The table allows you to check the coordinates of each point. Ative o JavaScript para ver esta figura interativa.

September 13, 2022 Read

First Degree Equations

First-degree equations have made life difficult for many children. But this is due to teaching, in which a rule is imposed without showing the basis. As children, many have heard that in equations the number jumps to the other side and changes the sign. The child says my god 😥😥. As a result, the child’s vision is… Or like this: What to do? Traditional school method The traditional school method shows techniques that scare students and make them terrified of mathematics. For example:

September 12, 2022 Read

Function Discovery

In this post, we will address one of the most important subjects in mathematics. Function is one of the scariest subjects for children, especially in high school. Discourse on the Method (Discours de la Methode) How are we going to start the speech? According to Leibniz and Euler: Creating implies transforming what exists; God created everything and everyone. This way, he would have done his Work optimally. If the answer is affirmative, then any element of nature (physis) is provided with reasoning (methode).

September 8, 2022 Read

Measure

Read a measurement with your reference The chart below uses degrees Celsius. Change a temperature from −2 to 3 and describe the rise. Em telas pequenas, deslize o gráfico na horizontal para ler os detalhes. Compare temperatures using the same unit. A negative temperature does not mean negative length. Ative o JavaScript para ver esta figura interativa. Before comparing measurements Identify the quantity: temperature, length or time. Check the unit. Use a reference and compatible units. Compare and interpret in the situation.

September 1, 2022 Read

Angles in basic planes

Angles are key pieces for the development of geometry. It is present in our daily lives such as stairs, building cranes, constructions such as the Leaning Tower of Pisa, among others. In Euclid’s book Elements, this concept was well worked on, even decades before Christ. Examples of angle applications Next, we present some applications of angles. Building Crane Tower of Pisa Ladder A widely used example is the clock, with the movement of the hour and minute hands, the angles are formed and the time is defined.

August 28, 2022 Read

Property of Angles in Planes

In the previous post we talked about several important definitions for angles in flat figures. Now, we deepen the concepts through the properties of angles for applications in flat figures. angle bisector of an angle Definition: the angle bisector of an angle is a ray, which starts from the vertex of the angle and divides it into two congruent angles ($\cong$). angle bisector produces two congruent angles. Ampliar figura para ler os detalhes From the figure, we notice that

August 28, 2022 Read

Algebraic Expressions

Expressing in algebraic form is the beginning of the mathematical basis, as a mathematician is not a calculator. The mathematician works with general and non-specific ideas. For example, when we express “two more than five”, it is a specific thought, as we are adding two to five. In mathematics, thinking is more general, in the example mentioned above, a mathematician says “two more than $x$”. $$x+2$$In this case, we add “two to any number $x$”, where this number can be included in the set of natural numbers

August 24, 2022 Read