Live / groupLive Algebra Crash Summer 2023
Duration16 Hours
LevelBeginner
CategoryKids
About this course
The Algebra Crash Summer 2023 course provides a fast-paced and engaging learning experience, covering key algebraic topics such as expressions, linear and quadratic equations, graphing, and problem-solving strategies. Through structured lessons, students develop strong analytical skills and confidence in mathematical reasoning.
What you'll learn
✓Mastery of Algebraic Expressions & Equations
✓Graphing & Analyzing Functions
✓Solving Linear & Quadratic Equations
✓Understanding Inequalities & Their Applications
✓Logical Thinking & Problem-Solving Skills
Course content
16 modules▷
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▷">Many people think that equations and algebra are beyond them - the thought of having to work with equations fills them with fear. However, there is no need to be afraid of equations.
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▷">The good news is that equations are actually relatively simple concepts, and with a bit of practice and the application of some simple rules, you can learn to manipulate and solve them.
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▷">This page is designed to introduce you to the basics of algebra, hopefully making you feel more comfortable solving simple equations.
▷ The linear relationships form the basis of each matchstick pattern. This indicates that a constant number is added to the previous term to represent the rise in matches required for the 'following' term. Even the most basic items we use on a daily basis can be used to create patterns. We will take a deep insight into the matchstick patterns in this article.
Patterns in Algebra
Mathematics covers the study of numbers and the various ways that they are listed. Mathematical patterns can take many different forms, including numerical patterns, visual patterns, logic patterns, word patterns and more. Since kids are familiar with even numbers, odd numbers, skip counting, etc., which helps in learning these patterns quickly, the number pattern is the most frequently used one.
Sequence or Series in Algebra
A series or sequence that frequently repeats itself is referred to as a pattern. In our daily lives, we notice patterns in things like colours, behaviours, shapes, numbers, etc. They can be finite or infinite and related to any phenomenon or thing. A group of integers that are arranged in a pattern according to a specific rule is called a pattern in Mathematics. These guidelines specify how to compute or resolve issues. For instance, every number in the series 3, 7, 11, 15,? increases by 4. The pattern predicts that the unknown value will be 15 + 4 = 19.
Matchsticks Shapes
We may better understand the fundamental idea of variables by using matchstick patterns. Here are some matchstick shapes created by students. The objective is to determine the number of matchsticks required to create L-shaped patterns.
▷ A variable is any characteristic, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.
▷ The linear relationships form the basis of each matchstick pattern. This indicates that a constant number is added to the previous term to represent the rise in matches required for the 'following' term. Even the most basic items we use on a daily basis can be used to create patterns. We will take a deep insight into the matchstick patterns in this article.
We may better understand the fundamental idea of variables by using matchstick patterns. Here are some matchstick shapes created by students. The objective is to determine the number of matchsticks required to create L-shaped patterns.
L-shape Pattern
The objective is to determine the number of matchsticks required to create L-shaped patterns. A student picks up two matchsticks and shapes them into the letter L. Another student picks up four matchsticks and shapes them into a pattern of two Ls. We'll add up the total number of Ls made and matchsticks required to make the pattern.
Triangles Pattern
In a similar way, look at the following pattern of triangles.
Square Pattern
Now Look at the square matchstick pattern in the figure below. The squares are joined together. A matchstick is shared by two adjacent squares. Discovering the rule that specifies the number of matchsticks will need careful observation of the patterns.
▷ A variable is a characteristic that can be measured and that can assume different values. Height, age, income, province or country of birth, grades obtained at school and type of housing are all examples of variables.
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▷">Likewise, in arithmetic, the variables have a significant role to represent the unknown values or to describe a property. The three properties explained under use of variables are:
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▷">Commutative property of addition of two numbers▷ margin-bottom: 5px
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▷ James and Natalie were playing with match sticks and they thought of forming patterns of numbers using the matchsticks.
▷ If you're learning algebra in school or are studying for a test, you've probably notice that many problems ask you to translate written words into algebraic expressions. In other words, there are plenty of word problems.
Some word problems have real-life details—almost like a short story. Others are simple, like descriptions of a math problem. We'll start with simple word problems, then move on to slightly more complex ones.
Before you can tackle complex word problems, you need to know how to translate simple problems into algebra. Generally, you'll do this by replacing the words with operators that mean the same thing. So for instance, four divided by x could be 4 ÷ x. ÷ and / are just two ways of writing divided.
▷ An equation in math is made up of numbers and an equal sign that can include a variable in place of an unknown value. A variable is a letter that represents an unknown value. Any letter of the alphabet can be used, but normally the variable 'x' is common in equations.
Equations are used often in everyday life but most commonly in multiple math scenarios, as well as in science. For instance, an equation can be used at a grocery store to find out how much an item costs that is on sale for 50% off. In math, unknown variables can be used to solve for the slope of a line on a graph. In science, equations can be used to solve for a percent increase in bacterial growth over time. These are all singular examples of the multiple ways that equations can be used. Figure 1 is an example of how an equation can be used to graph a line on a chart to help better understand data.
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Figure 1: A graph that has a line equation with exponential growth.
An image of a graph with exponential growth.
Equations in Math
Equations can be used in math to solve for unknown values. Sometimes, equations have multiple variables in them which make them more complicated to solve. Equations differ from a number sentence by the fact that they usually contain variables and number sentences do not. Number sentences contain operations between constants that equal a known value when solved.
▷ Solution of an Equation: A mathematical equation is a statement that two expressions are equal. 4 + 4=8 is a mathematical expression. An algebraic equation is a mathematical formula that has one or more variables. As a result, (2x + 5 = 35) is a one-variable linear equation. It has the first-degree variable (x), and its graph is a straight line.
Solving an equation is the process of determining the number that a variable represents. The obtained value is referred to as the equation’s solution. A mathematical language that asserts that two algebraic expressions must be equal in nature is known as an equation.
▷ Let us learn about what an algebraic expression is before learning about the terms of an algebraic expression. An algebraic expression is a concept of expressing numbers by using letters such as a, b, m, n, x, y, z, etc. without specifying their actual values. An algebraic expression is a mathematical statement where variables have been combined using basic arithmetic operations such as addition, subtraction, multiplication, or division. The variables are the unknown values such as a, b, x, y, z, etc. A coefficient is a value that is placed before and multiplied by a variable, while a constant is the fixed numerical value.
Terms in Algebraic Expressions
Variables, coefficients, constants, and terms are different components of an algebraic expression. For example, mx + c is an algebraic expression, where “m” is the coefficient, “x” is the variable, and “c” is a constant. “mx” and “c” are terms of the given algebraic expression.
▷ Did you know numbers can be alike and different? Some can go together while others cannot. In this lesson, you will learn all about like and unlike terms.
▷ A monomial should also have a non-negative degree, where the degree is the sum of exponents of variables in a term.
A binomial is a polynomial that has only two non-zero terms related by addition or subtraction. A constant term can be present in a binomial.
A trinomial is a polynomial that has three terms related by addition or subtraction. All of its terms should not be zero. There can be a constant term in a trinomial.
A polynomial is an expression consisting of variables and constants, related by addition or subtraction. It should have more than a single term.
▷ Addition and subtraction of algebraic expressions are the same as the addition and subtraction of numbers. Add the coefficients of two or more monomials that have like terms and maintain the variables and exponents on the variables the same. Subtract the coefficients of two or more monomials that have like terms and keep the variables and exponents on the variables the same.
▷ The purpose of solving an algebraic expression in an equation is to find the unknown variable. When two expressions are equated, they form an equation, and therefore, it becomes easier to solve for unknown terms.
To solve an equation, place the variables on one side and the constants on the other side. You can isolate the variables by applying arithmetic operations like addition, subtraction, multiplication, division, square root, cube root, etc.
An algebraic expression is always interchangeable. This implies that you can rewrite the equation by interchanging the LHS and RHS.
▷ There are five basic rules of algebra. They are:
Commutative Rule of Addition
Commutative Rule of Multiplication
Associative Rule of Addition
Associative Rule of Multiplication
Distributive Rule of Multiplication
In algebra, the commutative rule of addition states that when two terms are added, the order of addition does not matter. The equation for the same is written as, (a + b) = (b + a). For example, (x3 + 2x) = (2x + x3)
Your instructor
Gadee Gowwrii✓
24 students15 courses2 reviews
I have 21 years experience in teaching for all grades & training students in software. I have a PG Diploma in Data Science, a Masters in Statistics and use my passion to solve real-world business challenges using data analytics. Proficient in deploying complex machine learning & statistical modelling algorithms/techniques for identifying patterns and extracting valuable insights. I offer live classes.
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This course includes
Level: Beginner
Session: Group
Class: Kids
Duration: 16 Hours