TOPIC 3: QUADRATIC EQUATIONS Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Solving Equations The standard form of a Quadratic equation is ax2 + bx + c =0 whereby a, b, c are known values and ‘a’ can’t be 0. ‘x’ is a variable (we don’t know it yet). a is the coefficient of x2 , b is the coefficient of x and cis a constant term. Quadratic equation is also called an equation…
Author: Msomi Bora
TOPIC 2: ALGEBRA When we play games with computers we play by running, jumping and or finding secret things. Well, with Algebra we play with letters, numbers and symbols. And we also get to find secret things. Once we learn some of the ‘tricks’ it becomes a fun challenge to work with our skills in solving each puzzle. So, Algebra is all about solving puzzles. In this chapter we are going to learn some of the skills that help in solving mathematics puzzles. Binary Operations The Binary Operations Describe the binary operations When two numbers are combined according to the…
TOPIC 1: EXPONENTS AND RADICALS Exponents Exponents tell how many times to use a number itself in multiplication. There are different laws that guides in calculations involving exponents. In this chapter we are going to see how these laws are used. Single exponent tutorial Tutorial Created by Willbald Mvungi-Ilboru Secondary Indication of power, base and exponent is done as follows: Solution: To write the expanded form of the following powers: Solution To write each of the following in power form: Soln. The Laws of Exponents List the laws of exponents First law:Multiplication of positive integral exponent Second law: Division of positive…
MATHEMATICS NOTES FOR FORM ONE We have: Notes 1 and Notes 2 Notes 1 To view the Notes, click the following links below: TOPIC 1 – NUMBERS TOPIC 2 – FRACTIONS TOPIC 3 – DECIMAL AND PERCENTAGE TOPIC 4 – UNITS TOPIC 5 – APPROXIMATIONS TOPIC 6 – GEOMETRY TOPIC 7 – ALGEBRA TOPIC 8 – NUMBERS (II) TOPIC 9 – RATIO, PROFIT AND LOSS TOPIC 10 – COORDINATE GEOMETRY TOPIC 11 – PERIMETERS AND AREAS Notes 2 To view the Notes, click the following links below: 1. CONCEPT OF MATHEMATICS 2. NUMBERS I 3. FRACTIONS…
topic 7: ALGEBRA An algebraic expression – is a collection of numbers, variables, operators and grouping symbols. Variables – are letters used to represent one or more numbers Algebraic Operations Symbols to form Algebraic Expressions Use symbols to form algebraic expressions The parts of an expression collected together are called terms Example x + 2x – are called like terms because they have the same variables 5x +9y – are called unlike terms because they have different variables An algebraic expression can be evaluated by replacing or substituting the numbers in the variables Example 1 Evaluate the expressions below, given that…
TOPIC 6: GEOMETRY Points and Lines The Concept of a Point Explain the concept of a point A point – is a smallest geometric figure which gives a position of object in a plane A line segment – is a straight line joining two points in a plane The Concept of a Point to Draw a Line Extend the concept of a point to draw a line A line segment – is a straight line joining two points in a plane A line passing through two points e.g A and B and extends without end (i.e infinitely) in both directions is denoted by The…
TOPIC 5: APPROXIMATIONS Measurements can be rounded to a certain number of significant figures. Approximation- is a process of rounding numbers to a certain degree of accuracy.A number can be rounded to a certain required place value such as to the nearest ten, hundred, and thousand Rounding Off Numbers Rounding off Whole Numbers to Given Place Values Round off whole numbers to given place values STEPS When rounding a number, stand at the digit of the required place value, then look at the next digit to the right; if it is or more, round up (i.e, increase the digit of…
TOPIC 4: UNITS A unit – is defined as a symbol or sign which is assigned to a number to describe a kind of measurement made Units of Length Convertion of One Unit of Length to Another Convert one unit of length to another The conversion of one unit to another is done by considering the arrangement below Example, from the above we get Computations on Metric Units of Length Perform computations on metric units of length Example 1 Convert Solution Example 2 Three pieces of a string measures 90 dam, 400 m and 25000 cm. Find their total length.…
TOPIC 3: DECIMAL AND PERCENTAGE Decimals The Concept of Decimals Explain the concept of decimals A decimal- is defined as a number which consist of two parts separated by a point.The parts are whole number part and fractional part Example 1 Example 2 Conversion of Fractions to Terminating Decimals and Vice Versa Convert fractions to terminating decimals and vice versa The first place after the decimal point is called tenths.The second place after the decimal point is called hundredths e.t.c Consider the decimal number 8.152 NOTE To convert a fraction into decimal, divide the numerator by denominator To convert a…
TOPIC 2: FRACTIONS A fraction is a number which is expressed in the form of a/b where a – is the top number called numerator and b- is the bottom number called denominator. Proper, Improper and Mixed Numbers A Fraction Describe a fraction A fraction is a number which is expressed in the form of a/b where a – is the top number called numerator and b- is the bottom number called denominator. Consider the diagram below The shaded part in the diagram above is 1 out of 8, hence mathematically it is written as 1/8 Example 1 (a) 3 out of 5 ( three-fifths) = 3/5 Example 2 (b)…
