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These lessons provided by Texas Instruments will focus on introducing you to the TI-83 Plus and TI-84 Plus through various guided interactive activities.
 These lessons are provided through Texas Instruments, and as such do not necessarily follow The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (revised). The following lessons and activities align with our curriculum and standards and we hope you take the time to enjoy the module and take from it what you feel will apply in your classroom setting.
Module 4: Draw on Your Knowledge of Coordinates Module 5: Transformations Module 8: Solving Equations This module will examine the following: • using the guess-and-test method to solve equations • entering expressions and using concatenation on home screen to solve expressions • entering functions using the y = editor and using the table feature to find missing values • Solving Equations Algebraically store values and compare answers with expressions with rational numbers • using y= editor to graphing and using the Calc menu to find intersection points • expressing answers in fractional form To view these files, Adobe's free Flash Player application is required.
For additional support on this product and material please contact Texas Instruments.
For more exciting TI-83 Plus and TI-84 Plus modules, please visit the Texas Instruments site.
http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinealgebra_free.html If you have a TI-Navigator system, please visit the Texas Instruments site for supporting modules.
http://education.ti.com/educationportal/sites/US/nonProductMulti/pd_onlinemgnavigator_free.html The TI website offers a wide range of free activities for classroom use. Go to www.education.ti.com and visit the Activities Exchange portal for more resources that are aligned to Canadian standards.
* TI-83 Plus and TI-84 Plus are a trademark of Texas Instruments, Inc.
** TI-Navigator is a trademark of Texas Instruments, Inc. |
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These lessons provided by Texas Instruments will focus on introducing you to the TI-Nspire handheld by looking at the layout of the keypad and the key features of operating the Applications.
These lessons will focus on introducing you to the TI-Nspire handheld by looking at the layout of the keypad and the key features of operating the Applications.
Lesson 1 Lesson 2 Lesson 3 Lesson 4 To view these files, Adobe's free Flash Player application is required.
Check out these exciting Texas Instruments web links:
Current TI online TI-NspireTM courses: http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html Current TI Online courses: http://education.ti.com/educationportal/sites/US/sectionHome/pd_onlinecourses_free.html Current Product Tutorials: http://education.ti.com/educationportal/sites/US/sectionHome/tutorials.html * TI-Nspire is a trademark of Texas Instruments, Inc.
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| absolute value | The distance from zero to a number on the number line.
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| algebraic expression | An expression that includes at least one variable. 2t, 3x2 + 4x - 5, and 2x are algebraic expressions. |
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| algebraic modelling | The process of representing a relationship by an equation or a formula, or representing a pattern of numbers by an algebraic expression. |
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| ambiguous case | For a triangle, the case in which two sides and the angle opposite one of them is given, and there are two distinct solutions. In    |
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| amplitude | Half the difference between the maximum and minimum values of a periodic function.    |
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| angle in standard position | The position of an angle when its vertex is at the origin and its initial arm is on the positive x-axis. |
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| angle of declination | See angle of depression. |
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| angle of depression | The angle, measured downward, between the horizontal and the line of sight from an observer to an object.
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| angle of elevation | The angle, measured upward, between the horizontal and the line of sight from an observer to an object.
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| angle of inclination | See angle of elevation. |
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| angle of rotation | The measure of degrees that a figure is rotated about a fixed point. |
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| annual rate of interest | The rate at which interest is charged, as a percent, per year. |
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| annuity | A series of equal payments or deposits paid at regular intervals over a fixed period of time. Common examples of annuities are mortgages, car payments,
and insurance investments. |
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| approximate value | A numerical value that has been rounded. |
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| arc | A portion of the circumference of a circle that joins two points on the circle. |
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| area | The number of square units contained in a two-dimensional region. |
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| associative property |
a + (b + c) = (a + b) + c for addition and a × (b × c) =
(a × b) × c for multiplication. |
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| asymptote | A line that a curve approaches more and more closely, but never touches. This graph has a vertical asymptote at x = –1 and a horizontal asymptote at y = 0.  |
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| base (of a power) | The number used as a factor for repeated multiplication. In 63, the base is 6. |
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| bearing | See true bearing. |
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| binomial | A polynomial with two terms. 3x + 4 is a binomial. |
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| binomial common factor | See factor by grouping. |
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| bisect | To divide into two equal parts. |
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| central angle | An angle formed by two radii of a circle. The vertex of the angle is at the centre of the circle, and the endpoints are on the circle. |
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| chord (of a circle) | A line segment inside a circle that joins two points on the circumference of the circle. |
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| circle | The set of all points in the plane that are equidistant from a fixed point called the centre. |
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| circumference | The distance around a circle. |
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| clinometer | An instrument used to measure the angle of elevation or depression. |
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| coefficient | The factor by which a variable is multiplied. In the term 8y, the coefficient is 8; in the term ax, the coefficient is a. |
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| common factor | Any factor that two or more numbers, or two or more terms of a polynomial, share. 2 is a common factor of 4, 6, and 18. 3x is a common factor of 3x2 - 12x. |
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| common logarithm | A logarithm in base 10. |
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| commutative property |
a + b = b + a for addition and ab = ba for multiplication. |
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| component figure | A simple plane figure that is part of a composite figure. |
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| composite figure | A figure made up of two or more simple plane figures. |
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| compound interest | Interest paid on the principal and its accumulated interest. |
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| compounding period | The time interval after which compound interest is calculated. |
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| compression | A transformation that is a stretch by a factor greater than 0 and less than 1. |
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| congruent | Having the same size and shape. |
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| constant function | A function of the form f(x) = c, where c is any real number. |
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| constant term | A term that does not include a variable. In x2 + 5x – 1, the constant term is –1. |
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| contained angle | An angle that is formed by two adjacent sides of a triangle. In the diagram,  |
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| coordinates | The numbers in an ordered pair that locate a point on a coordinate grid. |
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| coordinate grid | A one-to-one pairing of all ordered pairs of real numbers with all points of a plane. Also called the Cartesian coordinate plane. |
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| cosine function | A function of the form y = cos x. The base function has an amplitude of 1 and a period of 360°. |
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| cosine law | The relationship between the lengths of the three sides and the cosine of an angle in any triangle.
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| cosine ratio | In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.
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| cube root | Given a number a, the number b such that b3 = a. |
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| cubic function | A polynomial function of degree 3. |
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| cycle | One complete pattern of a periodic function. |
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| cyclic quadrilateral | A quadrilateral whose vertices all lie on a single circle. |
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| cylinder | A solid figure with two identical flat circular ends and one curved side. |
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| decibel scale | A logarithmic scale used to compare sound levels. |
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| decomposition (factoring by) | A method used to factor quadratic polynomial expressions that involves writing a polynomial as a composition of simpler polynomials. 6x2 – 5x + 1 = 6x2 – 2x – 3x + 1 Rewrite the middle term as the sum of two terms. = (6x2 – 2x) + (–3x + 1) Then, factor by grouping. = 2x(3x – 1) – 1(3x – 1) = (3x – 1)(2x – 1) |
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| degree of a polynomial | The greatest exponent of the variable in any one term. The degree of x3 + 6x2 - 1 is 3. |
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| diagonal | A line segment joining two non-adjacent vertices of a polygon. |
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| diameter | A chord that passes through the centre of a circle. Diameter = 2 × radius. |
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| difference of squares | An expression of the form a2 – b2 that involves the subtraction of two squares. x2 – 25 is a difference of squares. |
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| dimension | A measurement such as length, width, or height. |
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| directed line segment | A line segment with a specified direction that is indicated by an arrowhead; a vector. |
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| direction of a vector | An angle of rotation of a vector about its tail. It can be expressed as either a true bearing (bearing) or as a quadrant bearing. |
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| displacement (of an object) | The distance along a straight line from an initial point to a final point. |
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| displacement (of a vector) | A vector quantity describing the position of an object. |
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| distributive property | The property that a(b + c) = ab + ac when a, b, and c are real
numbers. It is used to expand, or multiply, polynomial expressions. |
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| domain | The set of all values of the first coordinates of the ordered pairs, or the independent variable, in a relation. |
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| end behaviour | The behaviour of the y-values of the function as x approaches
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| equidistant | The same distance apart at every point. |
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| equivalent vectors | Vectors that have the same magnitude and direction. |
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| even-degree function | A function in which the term with the highest degree has an even degree. |
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| even-degree polynomial | A polynomial in which the term with the highest degree has an even degree. |
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| even function | A function f(x) that satisfies the property f(–x) = f(x) for all x in its domain. An
even function is symmetric about the y-axis. |
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| even order | See zero of even order. |
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| exact value | A precise value in which accuracy is preserved. Rounded decimal answers are approximate values, while fractions are exact values. |
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| expand | To write a quantity as a sum of terms in extended form. To multiply (usually applied to polynomials). 4(n - 3) expands to 4n - 12. |
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| exponent | The raised number that denotes repeated multiplication of a base. In 3x4, the exponent is 4. |
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| exponent laws | Rules used for expressions involving powers. |
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| exponential decay | A pattern of decay in which each term is multiplied by a constant amount, between 0 and 1, to produce the next term. |
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| exponential equation | An equation that has a variable in an exponent. 3x = 81 is an exponential equation. |
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| exponential function | A function in which a variable is an exponent. It can be defined by an equation of the form y = abx, where
a ≠ 0, b > 0, and b ≠ 1. |
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| exponential growth | A pattern of growth in which each term is multiplied by a constant amount, greater than 1, to produce the next term. |
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| factor | To express a number as the product of two or more numbers, or an algebraic expression as the product of two or more other algebraic expressions. Also, the
individual numbers or algebraic expressions in such a product. |
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| factor by grouping | A method of factoring by which groups of two terms are common factored to produce a binomial common factor. bx + 3x + by + 3y = (bx + 3x) + (by + 3y) Group sets of two terms. = x(b + 3) + y(b + 3) Common factor each group. = (b + 3)(x + y) Common factor again, using the binomial common factor. |
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| finite differences | Differences between the y-values in a table of values with evenly spaced
x-values. See first differences and second differences. |
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| first differences | Differences between consecutive y-values in a table of values with evenly spaced x-values. |
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| force | A vector quantity that describes an influence that can cause an object of a given mass to move in a certain direction. |
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| function | A relation between two variables, such as x and y, in which each value of x is mapped onto exactly one value of y. |
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| function notation | A notation that describes a function. It denotes that for a function f, when x is a value in the domain, f(x) represents the corresponding value in the range. f(x) =x + 4 is a linear function expressed using function notation. |
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| graphing calculator | A handheld device capable of a wide range of mathematical operations, including graphing from an equation, constructing a scatter plot,
determining the equation of a line of best fit for a scatter plot, making statistical calculations, and performing elementary symbolic manipulation. Many graphing
calculators will attach to scientific probes that can be used to gather data involving physical measurements, such as position, temperature, and force. |
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| greatest common factor (GCF) | The greatest number and/or variable that is a factor of each term in a polynomial expression. The GCF of 12ab and 8bc is 4b. |
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| ground velocity | The velocity of an object relative to the ground. Also called the bearing velocity, it is the resultant when the air velocity and the effect of wind or current are added. |
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| half-life | The length of time for an unstable element to spontaneously decay to one half of its original amount. |
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| head of a vector | The tip or arrowhead of a vector. |
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| heading | The direction in which a vessel is pointed in order to overcome other forces, such as wind or current, with the intended resultant direction being the bearing. |
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| head-to-tail method for adding vectors | A method of adding two vectors. |
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| hemisphere | Half of a sphere (ball). |
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| hexagon | A polygon with six sides. |
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| horizontal asymptote | A horizontal line that a curve approaches more and more closely, but never touches. This graph has a horizontal asymptote at y = 0. |
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| horizontal component (of a vector) | A horizontal vector, which when added to a vertical vector gives the resultant vector. |
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| horizontal compression |
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| horizontal displacement (of an object) | The horizontal distance an object has moved from an initial point to a final point. |
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| horizontal stretch |
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| horizontal translation (or shift) | A transformation where (x, y) on the graph of y = f(x) is transformed to (x +
h, y) on the graph of y = f(x - h). |
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| hypotenuse | The longest side of a right triangle. |
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| identity property of addition | The property that states that the sum of any number or variable and zero is the number or variable itself. a + 0= a = 0 + a |
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| identity property of multiplication | The property that states that the product of any number or variable and one is the number or variable itself. a ×1 = a = 1 × a |
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| imperial system | A collection of units that includes inches, feet, and miles for length; cups, quarts, and gallons for volume; and ounces and pounds for weight. |
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| initial arm | The arm of an angle in standard position that is on the positive x-axis. |
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| inscribed angle | An angle in a circle with its vertex on the circle. |
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| integer | The set of whole numbers and their opposites, represented by
 ... –3, –2, –1, 0, 1, 2, 3, ... |
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| intercept | The distance from the origin of the xy-plane to the point at which a line or curve crosses a given axis. |
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| interest rate | The percent of the principal that is earned, or paid, as interest. |
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| International system of units (SI) | The internationally recognized standard metric system. See
metric system. |
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| interval of increase/decrease | The x-values by which a function is increasing/decreasing. |
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| inverse of a function | A function that undoes another function. For function f and its inverse f–1, if f (a) =
b, then f–1(b) = a. The inverse of y= bx is x= by, which can be written as y = logb x.  |
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| inverted | Upside down. |
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| isosceles trapezoid | A trapezoid with equal non-parallel sides and equal base angles. |
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| isosceles triangle | A triangle with exactly two equal sides. |
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| leading coefficient | The coefficient of the greatest power of x in a polynomial P(x). |
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| like terms | Terms that have exactly the same variable(s) raised to exactly the same exponent(s). 3x2, –x2, and 2.5 x2 are like terms. |
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| line symmetry | A graph has line symmetry if there is a line x = a that divides the graph into two parts such that each part is a reflection of the other
in the line x = a. |
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| linear function | A function of the form f(x) = mx + b, where m and b are constants. |
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| linear relation | A relation between two variables that appears as a straight line when graphed on a coordinate system. May also be referred to as a linear function. |
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| local maximum | A point on a function that has the greatest y-value on some interval close to the point. |
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| local minimum | A point on a function that has the least y-value on some interval close to the point. |
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| logarithm | The logarithm of a number is the value of the exponent to which a given base must be raised to produce the given number. log3 81 = 4, because 34 = 81. |
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| logarithmic equation | An equation that has the variable in a logarithm. log2x = log2 3 + log2 5 is a logarithmic equation. |
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| logarithmic function | The inverse of an exponential function. A function of the form f(x) = logb x, where
b > 0 and b ≠ 1. See inverse of a function. y = logb x can be written as by = x. |
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| logarithmic scale | A scale that uses powers of 10, such as the decibel scale. |
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| magnitude (of a vector) | The length of the directed line segment. It is designated using absolute value brackets, so the magnitude of vector
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| mapping diagram | A graphical representation that relates the values in one set, the domain, to a second set, the range, using directed arrows from domain to range. |
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| mass | A measurement of the quantity of matter in an object, measured in such units as milligrams, grams, kilograms, or tonnes. |
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| mathematical model | A mathematical description of a real situation. The description may include a diagram, a graph, a table of values, an equation, a formula, a
physical model, or a computer model. |
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| mathematical modelling | The process of describing a real situation in mathematical form. |
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| maximum point | A local maximum point in a function. See local maximum. |
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| maximum value | The y-value of the maximum point. |
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| method of decomposition | See decomposition (factoring by). |
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| metric system | A collection of units that includes centimetres, metres, and kilometres for length; millilitres and litres for volume; and grams and kilograms for weight. |
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| midpoint | A point equidistant from the ends of a line segment. |
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| minimum point | A local minimum point in a function. See local minimum. |
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| minimum value | The y-value of the minimum point. |
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| momentum | A measure of the motion of a body. |
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| monomial | An algebraic expression with one term. 7x is a monomial. |
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| net | A two-dimensional diagram that shows a three-dimensional object "unfolded" so that all of its faces are visible. This is a net for a triangular prism. |
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| nth root | A root where the index is the variable n. Given a number a, the number b such that bn= a. |
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| oblique triangle | A triangle that is not right-angled. |
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| obtuse angle | An angle that measures more than 90°, but less than 180°. |
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| obtuse triangle | A triangle containing one obtuse angle. |
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| octagon | A polygon with eight sides. |
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| odd-degree function | A function in which the term with the highest degree has an odd degree. |
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| odd-degree polynomial | A polynomial in which the term with the highest degree has an odd degree. |
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| odd function | A function that satisfies the property f(–x) = –f(x) for all x in its domain. An odd function is
symmetric about the origin. |
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| odd order | See zero of odd order. |
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| opposite angle (of a triangle) | The angle directly across from a given side of a triangle. |
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| opposite vectors | Vectors that have the same magnitude but opposite direction;
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| order (of a zero) | If a polynomial function has a factor (x – a) that is repeated n times, then x = a is a zero of order n.
The function f(x) = 2(x + 1)2 has a zero of order 2. |
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| ordered pair | A pair of numbers, such as (3, 8), used to locate a point on a graph. |
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| origin | The point of intersection of the x-axis and the y-axis on a coordinate grid. The point (0,0) is the origin. |
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| parallelogram | A quadrilateral whose opposite sides are both parallel and equal in length. |
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| ||||
| ||||
| ||||
| parallelogram method for adding vectors | A method for adding two vectors. |
|||
| ||||
| ||||
| ||||
| parameter | A constant that can vary but does not change the form of the expression or equation. In the equation f(x) = a sin [k(x – d)] + c, the parameters are a, k, d, and c. |
|||
| ||||
| ||||
| ||||
| perfect square trinomial | The trinomial that results from squaring a binomial. |
|||
| ||||
| ||||
| ||||
| perimeter | The distance around a polygon. |
|||
| ||||
| ||||
| ||||
| period | The magnitude of the interval of the domain over which a periodic function repeats itself. The horizontal length of one cycle. |
|||
| ||||
| ||||
| ||||
| periodic function | A function that repeats itself over regular intervals of its domain. Its graph has a wave-like appearance. f(x) = sin x and f(x) = cos x are periodic functions. |
|||
| ||||
| ||||
| ||||
| periodic phenomenon | A real-world situation that can be modelled with a periodic function, such as a heartbeat. |
|||
| ||||
| ||||
| ||||
| perpendicular | At a 90° angle to. |
|||
| ||||
| ||||
| ||||
| perpendicular components (of a vector) | The vertical and horizontal vectors whose sum gives a resultant vector. |
|||
| ||||
| ||||
| ||||
| pH scale | A logarithmic scale used to measure how acidic or alkaline a substance is. Defined as pH = –log [H+], where [H+]
is the concentration of hydronium ions, in moles per litre. |
|||
| ||||
| ||||
| ||||
| phase shift | The horizontal translation of a trigonometric function. |
|||
| ||||
| ||||
| ||||
| Platonic solid | A polyhedron with every face being a regular polygon of the same size and shape. |
|||
| ||||
| ||||
| ||||
| point of tangency (to a circle) | The point where a tangent line touches a circle. |
|||
| ||||
| ||||
| ||||
| point symmetry | A graph has point symmetry about a point (a, b) if each part of the graph on one side of (a, b) can be rotated
180° to coincide with part of the graph on the other side of (a, b). |
|||
| ||||
| ||||
| ||||
| polynomial expression | An algebraic expression formed by adding or subtracting one or more terms that are the product of a constant and a power of x with
a whole number as an exponent. |
|||
| ||||
| ||||
| ||||
| polynomial function | A polynomial function of the form P(x) = anxn + ... +
a2x2 + a1x + a0, where n is a positive integer. |
|||
| ||||
| ||||
| ||||
| power | An abbreviation indicating how many times a number, symbol, or expression is multiplied by itself. 53, x6, (y + 3)2, and am are powers. |
|||
| ||||
| ||||
| ||||
| primary data | Data gathered by performing an experiment or by conducting an observational study. |
|||
| ||||
| ||||
| ||||
| primary trigonometric ratios | The sine ratio, cosine ratio, and tangent ratio, defined in right triangles.    |
|||
| ||||
| ||||
| ||||
| principal | An amount of money invested or borrowed. |
|||
| ||||
| ||||
| ||||
| product | The result of multiplication. |
|||
| ||||
| ||||
| ||||
| pyramid | A polyhedron with one base in the shape of a polygon and the same number of lateral triangular faces as there are sides in the base. |
|||
| ||||
| ||||
| ||||
| Pythagorean theorem | In a right triangle, the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides.
|
|||
| ||||
| ||||
| ||||
| quadrant | One of the four regions formed by the intersection of the x-axis and the y-axis. |
|||
| ||||
| ||||
| ||||
| quadrant bearing | A compass measurement between 0° and 90° east or west of the north–south line. See true bearing. |
|||
| ||||
| ||||
| ||||
| quadratic function | A function defined by a quadratic equation. In standard form: y = ax2 + bx + c, where a, b, and c   In factored form: y = a(x – r)(x – s), where a ≠ 0, and r and s In vertex form: y = a(x – h)2 + k, where a ≠ 0 and the vertex is at (h, k). |
|||
| ||||
| ||||
| ||||
| quarterly | Four times per year; every three months. |
|||
| ||||
| ||||
| ||||
| quartic function | A polynomial of degree four. |
|||
| ||||
| ||||
| ||||
| radius | The length of a line segment extending from the centre to the circumference of the circle. |
|||
| ||||
| ||||
| ||||
| range of a function or relation | The set of all second coordinates of the ordered pairs of a relation. |
|||
| ||||
| ||||
| ||||
| range of a set of numbers | The difference between the greatest and least values in a set of data. |
|||
| ||||
| ||||
| ||||
| rate of increase/decrease | The steepness or slope of a function. The ratio of the change in the output value and the change in the input value of a function. |
|||
| ||||
| ||||
| ||||
| ratio | A comparison of quantities with the same unit. |
|||
| ||||
| ||||
| ||||
| rational number | A number that can be expressed as the quotient of two integers, where the divisor is not zero. 0.75,  |
|||
| ||||
| ||||
| ||||
| real number | A member of the set of all rational and irrational numbers, represented by
|
|||
| ||||
| ||||
| ||||
| rectangular components of a vector | The vertical and horizontal vectors whose sum gives a resultant vector. |
|||
| ||||
| ||||
| ||||
| rectangular prism | A three-dimensional figure with six rectangular faces. |
|||
| ||||
| ||||
| ||||
| reference angle | The acute angle between the terminal arm and the x-axis. |
|||
| ||||
| ||||
| ||||
| reflection | A transformation in which a point or figure is reflected in a line of reflection. |
|||
| ||||
| ||||
| ||||
| related angle | The acute angle with a trigonometric function having the same absolute value as a given angle outside the first quadrant. |
|||
| ||||
| ||||
| ||||
| relation | An identified pattern between two variables that may be expressed as ordered pairs, a table of values, a graph, or an equation. |
|||
| ||||
| ||||
| ||||
| resolution of a vector | The act of resolving a vector into its two perpendicular, or rectangular, vector components (one vertical and one horizontal) whose sum is the given vector. |
|||
| ||||
| ||||
| ||||
| restriction | A constraint on the value(s) of a variable. In    |
|||
| ||||
| ||||
| ||||
| resultant force | The sum of two or more forces. |
|||
| ||||
| ||||
| ||||
| resultant vector | The sum or difference of two or more vectors. |
|||
| ||||
| ||||
| ||||
| rhombus | A parallelogram in which the lengths of all four sides are equal. |
|||
| ||||
| ||||
| ||||
| Richter scale | A logarithmic scale used to measure the magnitude of earthquakes. |
|||
| ||||
| ||||
| ||||
| right angle | An angle that measures 90°. |
|||
| ||||
| ||||
| ||||
| right bisector of a line segment | A line that is perpendicular to a line segment and divides the line segment into two equal parts. |
|||
| ||||
| ||||
| ||||
| right triangle | A triangle containing a 90° angle. |
|||
| ||||
| ||||
| ||||
| roots | The solutions of an equation. |
|||
| ||||
| ||||
| ||||
| rotation angle | See angle of rotation. |
|||
| ||||
| ||||
| ||||
| scalar | A quantity that has magnitude but no direction, such as time, temperature, or volume. |
|||
| ||||
| ||||
| ||||
| secant to a circle | A line that intersects a circle at two distinct points. |
|||
| ||||
| ||||
| ||||
| second differences | Differences between consecutive first differences in a table of values with evenly spaced x-values. |
|||
| ||||
| ||||
| ||||
| secondary data | Data collected by someone else. |
|||
| ||||
| ||||
| ||||
| sector | A part of a circle bounded by two radii and an arc of the circle. |
|||
| ||||
| ||||
| ||||
| segment of a circle | A part of a circle bounded by a chord and an arc of the circle. |
|||
| ||||
| ||||
| ||||
| semi-annually | Two times per year; every six months. |
|||
| ||||
| ||||
| ||||
| sine function | A function of the form y = sin x. The base function has an amplitude of 1 and a period of 360°. |
|||
| ||||
| ||||
| ||||
| sine law | The relationship between the lengths of the sides and their opposite angles in any triangle.  |
|||
| ||||
| ||||
| ||||
| sine ratio | In a right triangle, the ratio of the length of the opposite side to the length of the hypotenuse.  |
|||
| ||||
| ||||
| ||||
| sinusoidal function | A function with the curved form of a sine wave that is used to model periodic data. |
|||
| ||||
| ||||
| ||||
| slant height | The length of a slanted side or slanted edge, such as the slanted side of a cone or slanted edge of a pyramid. |
|||
| ||||
| ||||
| ||||
| solve a triangle | Determine the measures of all angles and the lengths of all sides of a triangle. |
|||
| ||||
| ||||
| ||||
| special angles | Angles for which exact trigonometric ratios can be found: 30°, 45°, 60°, 90° and their related angles in quadrants II, III, and IV. |
|||
| ||||
| ||||
| ||||
| special triangles | Triangles used to find the exact trigonometric ratios for 30°, 45°, 60° and their related angles in quadrants II, III and IV.  |
|||
| ||||
| ||||
| ||||
| sphere | A three-dimensional figure shaped like a ball. |
|||
| ||||
| ||||
| ||||
| stretch | A transformation that results in the distance from the x-axis of every point growing by a scale factor greater than 1 (vertical stretch) or the
distance from the y-axis of every point growing by a scale factor greater than 1 (horizontal stretch). |
|||
| ||||
| ||||
| ||||
| subtend | Lie opposite to. An arc or a chord can subtend an angle at the centre or at the circumference of a circle. The arc, AB, of the circle shown subtends   |
|||
| ||||
| ||||
| ||||
| surface area | The area of the surfaces of a three-dimensional figure. |
|||
| ||||
| ||||
| ||||
| symmetry | A quality of a plane figure so that it can be folded along a fold line and the halves of the figure match exactly. |
|||
| ||||
| ||||
| ||||
| tail of a vector | The origin or starting point of a vector. |
|||
| ||||
| ||||
| ||||
| tangent ratio | In a right triangle, the ratio of the length of the opposite side to the length of the adjacent side. |
|||
| ||||
| ||||
| ||||
| tangent to a circle | A line that touches the circle at exactly one point and equals the slope of the curve at that point. |
|||
| ||||
| ||||
| ||||
| tension | The measure of a force that is stretching or pulling an object. |
|||
| ||||
| ||||
| ||||
| terminal arm | The arm of an angle in standard position that is not on the positive x-axis. |
|||
| ||||
| ||||
| ||||
| transformation | A change made to a figure or a relation such that the figure or the graph of the relation is shifted or changed in shape. |
|||
| ||||
| ||||
| ||||
| translation | A slide transformation that results in a shift of the original figure without changing its shape. |
|||
| ||||
| ||||
| ||||
| trapezoid | A quadrilateral with one pair of parallel sides. |
|||
| ||||
| ||||
| ||||
| triangle method for adding vectors | See head-to-tail method for adding vectors. |
|||
| ||||
| ||||
| ||||
| triangular prism | A prism with triangular bases. |
|||
| ||||
| ||||
| ||||
| trigonometric function | A function involving a trigonometric ratio. y = 3 cos (x + 2) – 4 is a trigonometric function. |
|||
| ||||
| ||||
| ||||
| trigonometric ratios | See primary trigonometric ratios. |
|||
| ||||
| ||||
| ||||
| true bearing | An angle of rotation measured clockwise from north and expressed as a three-digit number. Also called azimuth bearing. |
|||
| ||||
| ||||
| ||||
| unit circle | A circle of radius 1 unit that is centred at the origin. |
|||
| ||||
| ||||
| ||||
| variable | A letter or symbol, such as x, used to represent an unspecified number. x and y are variables in the expression 2x + 3y. |
|||
| ||||
| ||||
| ||||
| vector | A quantity that has both magnitude and direction, such as displacement or velocity. |
|||
| ||||
| ||||
| ||||
| vector components | The perpendicular components,     |
|||
| ||||
| ||||
| ||||
| velocity | The rate of change of position of an object; velocity is a vector quantity. |
|||
| ||||
| ||||
| ||||
| vertex | A point at which two sides of a polygon meet. |
|||
| ||||
| ||||
| ||||
| vertical component (of a vector) | A vertical vector, which when added to a horizontal vector gives the resultant vector. |
|||
| ||||
| ||||
| ||||
| vertical compression | A transformation where (x, y) on the graph of y = f(x) is transformed to (x,
ay) on the graph of y = af(x), when 0 < a < 1. |
|||
| ||||
| ||||
| ||||
| vertical displacement (of an object) | The vertical distance an object has moved from an initial point to a final point. |
|||
| ||||
| ||||
| ||||
| vertical line test | A method of determining whether a relation is a function. If a vertical line intersects the graph of a relation at exactly one point, then the
relation is a function. |
|||
| ||||
| ||||
| ||||
| vertical stretch | A transformation where (x, y) on the graph of y = f(x) is transformed to
(x, ay) on the graph of y = af(x), when a > 1. |
|||
| ||||
| ||||
| ||||
| vertical translation or shift | A transformation where (x, y) on the graph of y = f(x) is transformed to (x,
y +k) on the graph of y = f(x) + k. |
|||
| ||||
| ||||
| ||||
| volume | The amount of three-dimensional space an object occupies. |
|||
| ||||
| ||||
| ||||
| whole number | A number in the sequence 0, 1, 2, 3, 4, 5, ... . |
|||
| ||||
| ||||
| ||||
| x-intercept | The x-coordinate of the point where a line or curve crosses the x-axis. |
|||
| ||||
| ||||
| ||||
| y-intercept | The y-coordinate of the point where a line or curve crosses the y-axis. |
|||
| ||||
| ||||
| ||||
| zero of a function | Any value of x for which the value of the function is zero. It corresponds to the x-intercept(s) of the graph of the function. |
|||
| ||||
| ||||
| ||||
| zero of even order | An x-intercept that just touches the x-axis. |
|||
| ||||
| ||||
| ||||
| zero of odd order | An x-intercept that crosses the x-axis. |
|||
| ||||
| ||||
| ||||
| zero vector | A vector with a magnitude of zero. |
|||
|
Videos in SWF format
NSpirelinestyle How to change the line-style for graphing functions on the N-Spire. ti83linestyleV2 How to change the line-style for graphing functions on the TI83+/84. ti83piecewise How to graph piecewise functions on the TI83+/84. ti83table Setting up a table and table parameters on the TI83+/84. ti83window Setting the viewing window to view functions optimally on the TI83+/84. Zoomtrig Setting the viewing window to view trigonometric functions properly on the TI83+/84. ti83graph How to graph functions on the TI83+/84. ti83intersect How to find the coordinates of intersection of two functions on the TI83+/84. ti83maxmin Finding maxima and minima of functions using the TI83+/84. GSPFunc Plotting functions in the Geometer’s Sketchpad. Videos in WMW format
NSpirelinestyle How to change the line-style for graphing functions on the N-Spire. ti83linestyleV2 How to change the line-style for graphing functions on the TI83+/84. ti83piecewise How to graph piecewise functions on the TI83+/84. ti83table Setting up a table and table parameters on the TI83+/84. ti83window Setting the viewing window to view functions optimally on the TI83+/84. ti83graphV2 How to graph functions on the TI83+/84. Zoomtrig Setting the viewing window to view trigonometric functions properly on the TI83+/84. ti83intersect How to find the coordinates of intersection of two functions on the TI83+/84. ti83maxmin Finding maxima and minima of functions using the TI83+/84. GSPFunc Plotting functions in the Geometer’s Sketchpad. |
| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
|
|
|
|
Section 1.1, p. 2, questions 2 and 3: | ||
| Sine Box | ||
|
( http://www.ies.co.jp/math/products/trig/applets/sinBox/sinBox.html ) |
||
| ||
| ||
| ||
| Cosine Box | ||
|
( http://www.ies.co.jp/math/products/trig/applets/cosbox/cosbox.html ) |
||
| ||
| ||
| ||
| Tanget Box | ||
|
( http://www.ies.co.jp/math/products/trig/applets/tanbox/tanbox.html ) |
||
| ||
| ||
| ||
| Trig Functions | ||
|
( http://www.ies.co.jp/math/products/trig/applets/sixtrigfn/sixtrigfn.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 1.4, p. 14: | ||
| Platonic Solids: | ||
|
( http://nlvm.usu.edu/en/nav/frames_asid_128_g_4_t_3.html?open=instructions&from=category_g... ) |
||
| ||
| ||
| ||
|
|
|
|
Section 1.5: | ||
| The Law of Sines: | ||
|
( http://www.ies.co.jp/math/java/trig/seigen/seigen.html ) |
||
| ||
| ||
| ||
| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
|
|
|
|
Section 2.1: | ||
| The graph of y = sin x | ||
|
( http://www.ies.co.jp/math/java/samples/graphSinX.html ) |
||
| ||
| ||
| ||
| Unit Circle and Trigonometric Functions | ||
|
( http://science.kennesaw.edu/~plaval/tools/trig.html ) |
||
| ||
| ||
| ||
| Generating the Sine Graph | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/sine_gen_80.gif ) |
||
| ||
| ||
| ||
| Generating the Cosine Graph | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/cos_gen_80.gif ) |
||
| ||
| ||
| ||
|
|
|
|
Section 2.2: | ||
| Family of Sine Functions (Translations) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/sine_func_vary_c_80.gif ) |
||
| ||
| ||
| ||
| Family of Sine Functions (Translations) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/sine_func_vary_c_80.gif ) |
||
| ||
| ||
| ||
| Family of Cosine Functions (Translations) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/cosine_func_vary_c_80.gif ) |
||
| ||
| ||
| ||
| Family of Cosine Functions (Translations) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/cosine_func_vary_d_80.gif ) |
||
| ||
| ||
| ||
|
|
|
| Section 2.3: | ||
| Family of Sine Functions (Stretches and Compressions) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/sine_func_vary_a_80.gif ) |
||
| ||
| ||
| ||
| Family of Sine Functions (Stretches and Compressions) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/sine_func_vary_b_80.gif ) |
||
| ||
| ||
| ||
| Family of Cosine Functions (Stretches and Compressions) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/cosine_func_vary_a_80.gif ) |
||
| ||
| ||
| ||
| Family of Cosine Functions (Stretches and Compressions) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/family_of_functions/cosine_func_vary_b_80.gif ) |
||
| ||
| ||
| ||
|
|
|
|
Section 2.4: | ||
| Graphs of Transformations of the Sine and Cosine Functions | ||
|
( http://www.members.shaw.ca/ron.blond/sc.APPLET/index.html ) |
||
| ||
| ||
| ||
| The graph of y = a sin b(x – c) (Transformations) | ||
|
( http://www.ies.co.jp/math/java/trig/ABCsinX/ABCsinX.html ) |
||
| ||
| ||
| ||
| Determining the Equation of a Sinusoid (Transformations) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/sinusoidapp/sinusoidpractice.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 2.6, p. 41, question 5: | ||
| Simple Pendulum | ||
|
( http://www.walter-fendt.de/ph14e/pendulum.htm ) |
||
| ||
| ||
| ||
| Applet: Pendulum | ||
|
( http://www.lon-capa.org/~mmp/kap13/cd363a.htm ) |
||
| ||
| ||
| ||
|
|
|
|
Section 2.6, p. 41, question 6, and p. 42, question 11: | ||
| Sinusoids: Applications and Modeling (Ferris Wheel) | ||
|
( http://mathdemos.gcsu.edu/mathdemos/sinusoidapp/sinusoidapp.html ) |
||
| ||
| ||
| ||
| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
|
|
|
|
Section 3.1 | ||
| Azimuths (Bearings) and Compass Quadrant Bearings | ||
|
( http://academic.brooklyn.cuny.edu/geology/leveson/core/linksa/comp.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 3.2 | ||
| Vector Arithmetic Java Visualization | ||
|
( http://www.pa.uky.edu/~phy211/VecArith/index.html ) |
||
| ||
| ||
| ||
|
|
|
| Section 3.3 | ||
| Vector Arithmetic Java Visualization | ||
|
( http://www.pa.uky.edu/~phy211/VecArith/index.html ) |
||
| ||
| ||
| ||
|
|
|
| Section 3.4 | ||
| Vector Arithmetic Java Visualization | ||
|
( http://www.pa.uky.edu/~phy211/VecArith/index.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 3.5, p. 58, question 5, and p. 59, question 13 | ||
| Plane Landing (Effect of Wind Vector) | ||
|
( http://www.break.com/usercontent/2009/7/plane-landing-on-heavy-wind-almost-crashes-883934... ) |
||
| ||
| ||
| ||
| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
|
|
|
|
Section 4.1 | ||
| Law of Exponents | ||
|
( http://www.mathsisfun.com/algebra/exponent-laws.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 4.2 | ||
| The Exponential Function y = ab^x | ||
|
( http://members.shaw.ca/ron.blond/TLE/ExpFcn.APPLET/index.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 4.3 | ||
| Applications of Exponential Functions | ||
|
( http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_ExponentsApps.xml ) |
||
| ||
| ||
| ||
|
|
|
|
Section 4.6 | ||
| Stellar Magnitude (Problem-Solving With Logarithms) | ||
|
( http://csep10.phys.utk.edu/astr162/lect/stars/magnitudes.html ) |
||
| ||
| ||
| ||
| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
|
|
|
|
Section 5.2 | ||
| Polynomial Function Graphs | ||
|
( http://id.mind.net/~zona/mmts/functionInstitute/polynomialFunctions/graphs/polynomialFunc... ) |
||
| ||
| ||
| ||
|
|
|
|
Section 5.5 | ||
| Application of Polynomials | ||
|
( http://www.mathmotivation.com/science/calculator-functions.html ) |
||
| ||
| ||
| ||
|
|
|
|
Section 5.6 | ||
| Factoring Polynomials with Tiles | ||
|
( http://staff.argyll.epsb.ca/jreed/math9/strand2/2210.htm ) |
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| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
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Section 6.1: | ||
| Expression Calculator | ||
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( http://www.algebrahelp.com/calculators/expression/oops/ ) |
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Section 6.2: | ||
| Factoring Calculator | ||
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( http://www.algebrahelp.com/calculators/expression/factoring/ ) |
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| Factoring Calculator | ||
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( http://www.freemathhelp.com/factoring-calculator.php ) |
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Section 6.4, p. 122, question 5: | ||
| PSI–kPa Pressure Converter | ||
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( http://www.csgnetwork.com/presskpapsicvt.html ) |
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Section 6.5, p. 126, question 7: | ||
| Home Improvement Costs | ||
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( http://www.allaroundthehouse.com/lib.repr.htm ) |
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| Roof Repair Cost | ||
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( http://www.costhelper.com/cost/home-garden/roof-repair.html ) |
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| How to Calculate Roof Replacement Costs | ||
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( http://www.ehow.com/how_4811445_calculate-roof-replacement-costs.html ) |
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Section 6.5, p. 126, question 9: | ||
| Home Improvement Costs | ||
|
( http://www.allaroundthehouse.com/lib.repr.htm ) |
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| Insulation: The Different Types and Their Advantages and Disadvantages | ||
|
( http://www.aerias.org/DesktopModules/ArticleDetail.aspx?articleId=95 ) |
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| Building insulation materials | ||
|
( http://en.wikipedia.org/wiki/Building_insulation_materials ) |
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| Insulating Your House | ||
|
( http://www.cmhc-schl.gc.ca/en/co/maho/enefcosa/enefcosa_002.cfm ) |
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| Insulation | ||
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( http://www.homedepot.ca/catalog/insulation/173074 ) |
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| Insulating materials | ||
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( http://www.rona.ca/shop/insulating-materials_building-materials-accessories_shop ) |
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Section 6.5, p. 127, question 16: | ||
| Jobs That Use Mathematical Modeling | ||
|
( http://www.xpmath.com/careers/topicsresult.php?subjectID=5&topicID=10 ) |
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| Want a fun way to test your knowledge of math terms? Try this Crossword Puzzle and see how many you can get! |
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|
Section 7.1 | ||
| Metric and Imperial Conversion Charts and Tables | ||
|
( http://convert.french-property.co.uk/ ) |
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| Metric Conversion – Metric to Imperial Conversion Calculators | ||
|
( http://www.metric-conversion.biz/ ) |
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| Length conversion – Online length converter | ||
|
( http://www.sciencemadesimple.com/length_conversion.php ) |
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| Meters to Feet Conversion | ||
|
( http://www.metric-conversions.org/length/meters-to-feet.htm ) |
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| Conversion tables | ||
|
( http://www.convert-me.com/en/ ) |
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| Online conversion | ||
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( http://www.onlineconversion.com/ ) |
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| Metric Conversion & Metric System | ||
|
( http://www.france-property-and-information.com/metric_conversion_table.htm ) |
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| Metric Conversion Chart | ||
|
( http://www.sciencemadesimple.com/metric_conversion_chart.html ) |
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Section 7.1, p. 131, question 8 | ||
| Metric Conversion & Metric System | ||
|
( http://www.france-property-and-information.com/metric_conversion_table.htm ) |
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Section 7.1, p. 132, question 11 | ||
| Rolling With Reuleaux (Reauleaux Triangle) | ||
|
( http://www.maa.org/mathland/mathland_10_21.html ) |
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Section 7.1, p. 134, question 25 | ||
| How to Build a Scale House Model | ||
|
( http://www.ehow.com/how_4911345_build-scale-house-model.html ) |
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Section 7.2 | ||
| Surface Area Calculator | ||
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( http://www.csgnetwork.com/surfareacalc.html ) |
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Section 7.3 | ||
| Metric and Imperial Conversion Charts and Tables | ||
|
( http://convert.french-property.co.uk ) |
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| Cubic Centimeters (cm^3) To Cubic Meters (m^3) Conversion | ||
|
( http://www.asknumbers.com/CubicCentimeterToCubicMeter.aspx ) |
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| Conversion of Metric and Imperial Units | ||
|
( http://www.imperialtometric.com/conversion_en.htm#volume ) |
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| Volume Calculator | ||
|
( http://www.csgnetwork.com/volumecalc.html ) |
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Section 7.5, p. 151, question 13 | ||
| Platonic Solids | ||
|
( http://whistleralley.com/polyhedra/platonic.htm. ) |
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| Platonic Solids | ||
|
( http://nlvm.usu.edu/en/nav/frames_asid_128_g_4_t_3.html?open=instructions&from=category_g... ) |
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