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16 results for Algebra in lessons.
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Lesson
What an algebraic expression is
Algebraic Expressions and Their Uses
What an algebraic expression is: terms joined by the fundamental operations, and how to sort expressions into monomials, binomials, trinomials, polynomials and multinomials by coun…
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Lesson
Highest Common Factor (H.C.F) of Monomials
Factorization
How to find the highest common factor of algebraic monomials: take the H.C.F of the coefficients and the smallest power of each letter found in every term, with worked examples.
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Lesson
Writing words as symbols
Introduction to Algebra
How to turn sentences into algebra: the key words for add, take away, multiply and divide, which number to write first, and how to test your symbols by putting in a number.
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Lesson
Adding and subtracting expressions
Algebraic Expressions and Their Uses
How to add and subtract algebraic expressions by gathering like terms, using the horizontal and vertical methods, and why every sign inside a bracket changes when the whole bracket…
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Lesson
Multiplying expressions
Algebraic Expressions and Their Uses
Multiplying algebraic expressions: monomial by monomial with the power rule, monomial by binomial with the distributive law, binomial by binomial with a grid, then simplifying by c…
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Lesson
Letters that stand for numbers
Introduction to Number Systems
A letter can stand for a number you have not been told yet. Learn variables and constants, how to add and subtract counts of a letter, how powers like a squared work, and how to wr…
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Lesson
Prime factorisation and the standard form of a number
Introduction to Number Systems
Break any composite number into primes by repeated division or a factor tree, see why there is only one way to do it, and write the result in standard form with indices.
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Lesson
Letters that stand for numbers
Introduction to Algebra
Meet variables and constants: letters that stand for numbers which can change, and symbols with a fixed value, shown with boxes of sweets, prices of pens and simple expressions.
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Lesson
Terms, factors and co-efficients
Introduction to Algebra
A letter can stand for a number you do not know yet. Learn to split an expression into terms, a term into factors, and to name the co-efficient, including its sign.
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Lesson
Like and unlike terms
Introduction to Algebra
Tell like terms from unlike terms by looking only at the literal part, with fruit and box examples, terms with two letters, and a practice set with answers.
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Lesson
Adding and taking away like terms
Introduction to Algebra
Add and take away like terms by working with the numbers in front and keeping the letter part, including answers of zero, answers below zero and answers that keep two terms.
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Lesson
The number system
Real Numbers and Their Properties
The six sets of numbers: natural, whole, integers, rational, irrational and real. How five of them sit one inside the next, where the irrational numbers belong, and how to use the…
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Lesson
Closure and the commutative property
Real Numbers and Their Properties
Two questions about real numbers: does adding, subtracting, multiplying or dividing keep you inside the real numbers (closure), and may you swap the two numbers round (the commutat…
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Lesson
Grouping, identities and inverses
Real Numbers and Their Properties
Learn why grouping does not change a sum or product but does change a difference or quotient, meet the identities 0 and 1, and find the additive and multiplicative inverses of a nu…
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Lesson
The degree of an expression
Algebraic Expressions and Their Uses
Find the degree of a monomial by adding the powers of its letters, see why a plain number has degree zero and zero has none, and find the degree of a polynomial.
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Lesson
Putting numbers back in
Algebraic Expressions and Their Uses
Substitution: replacing each letter in an expression with its value and simplifying in the right order. One letter, two letters, squares, negative values, formulas, and a safe five…