Technical Mathematics
- Author:
- Math Team - SPSP Al-Khafji
This GeoGebra book contains applets that can be used to foster active, student-centered, discovery-based learning, provide meaningful remediation, enhance opportunities for differentiation of instruction, and serve as a source of ongoing formative assessment.
Teachers:
It is my hope that these resources help empower your students to actively (and meaningfully) discover these TMAT concepts.
Students:
It is my hope that these resources help you discover & help reinforce these TMATconcepts in a way that makes sense to you.
For questions, suggestions, and/or comments, feel free to e-mail me at any time.
I wish you much success in your journey of teaching and/or learning mathematics!
Best,
Alaa Alrajeh
Table of Contents
Chapter 1
- 1.1 Subtract positive Intergers
- 1.6 Fraction On The Number Line
- Digit numbers.
- 1.1 Add
- 1.1 Subtract
- 1.1 Long Division
- 1.1 Multiplication
- 1.1 and 1.8 Resistor in Circuits
- 1-6.1 Write The equivalent Fraction
- 1-6.2 Write a given fraction in simplest form
- 1.6 Understanding The Equivalent Fraction
- 1-6.3 Change improper fraction to mixed number
- 1.6-3 Write the Improper Fraction as a Mixed Number
- 1-7.2 Adding Fractions
- 1-7.2 Number line adding Fractions Different Denominators
- 1-7.3 Subtract Mixed Number Show Your Work
- 1-7.3 Subtract Fraction
- 1-10.1 Write Decimal Numbers
- 1-11.1Rounding Decimal Numbers
- 1-11.1Rounding
- 1-13.2 Write the Mixed Number as a Percent or Decimal Number
- 1-10.2 Change a Decimal to Common Fraction or Vice Versa
- 1-10.2 Converting fractions to decimals
- 1-13.2 Change each percent to a decimal
- 1.12 Understading Decimal Numbers
- 1-13.2 Write decimal or Fraction as percent
- 1-12.2 Resistance Measurement
- 1-7.1 Find LCD
- Significant Digits: self-test
- 1-6.4 Improper Fraction
- 9-1.1 Solving a linear system graphically
- 9-3.1 Substitution (First Three Steps)
- 8-3.3 Find Slope - y intercepet
Chapter 2
Chapter 3
- 3-2.1 Read The Measurement
- 3-2.2 Converting Metric System - Length
- 3-4.1 Understand The Volume
- 3 Volume-Mass- length Ex
- 3-4.2 Volume
- 3-2.1 Read Measurement
- 3-3.1 Mass Measurement
- 3-3.2 Identify a Suitable Metric Unit to Measure the Mass
- 3-3.2 Identify a Suitable Metric Unit to Measure the Mass.
- 3-4.1
- Metric Units Conversion
Chapter 4
Chapter 5
- 5.1 Combine like terms
- 5.1 All Foundametal Operations
- 5.2 Simplify
- 5.2 Combine Like Terms
- 5-2.1 Use properties of numbers to combine the like terms
- 5-2.1 Simplifing Algebraic Expressions
- 5-1.2 Substitution and Evaluating The Expressions
- 5-2.1 Simplify The Expression
- 5-4.1 Multiplication of monomials
- 5-5.1 Multiplication of Polynomials
- 5-4.1 Exponents Rules
- 5-2.1 Match The Like Terms
- 5-2.1 Collect the Like terms
Chapter 6
- 6-1.1 Understand The Equations
- 6-1.1 Solve Equations with variable in one Side (A)
- 6-1.1 Solving Addition Equations Using Scales
- 6-1.1 Two Basic Rules Used to Solve Equations
- 6-1.1 Solve Equations with one Variable and Verify
- 6.1 Equation Exercises
- 6.1 Equations Random Questions
- 6-2.1 Equations with variables in Both Members
- 6-3.1 Equations with Parentheses Examples
- 6-3.1 Equations with Parentheses B
- 6-3.1 Solving equation having parentheses (No Solutions)
- 6.4 equations with fractions 2
- 6-4.1 Equations with Fractions
- 6.5 Algebric symboles
- 6-5.1 Translate
- 6-5.1 Translate 2
- 6-5.1 Translate 3
- 6.6 Application Involving Equations
- 6.7 Formulas (Area of triangle)
- 6-7.1 Formula
- 6.2-1 Solive linear equation in one variable
- Chapter 6 All Equations Lessons
- 6-7.1 Solve Formula Trapeziod Model
- From 6-1 to 6-4 Quiz One Variable Linear Equations revised
- 6.2-1 Equations With Variables in Both Sides
- 6.1 - Positive Coefficient
Chapter 7
Chapter 8
- 8-1.1 Rectangular Coordinate System
- 8-1.1 Lable the Cartesian Plane
- 8.1.1 Example 1
- 8-1.1 Identify a solution of the linear equation.
- 8-1.1 Linear Function Practice
- 8-1.2 Solve for Y
- 8-1.3 Write The Coordinates
- 8-1.3 Plot Points Exercises
- 8.1 Plotting Points Exercises
- 8.1 Plotting points Examples
- 8.1 Game Plot point
- 8-2.1 Table, Formula, and Graph of Linear Equations
- 8-2.1 Linear Equations With Two variables
- 8-2.1 Graphing Linear Equations (X and Y Intercept)
- 8-2.1 Graphing Line from Intercepts
- 8.2 Horizontal Lines
- 8-2.1 Horizontal and Vertical Lines
- 8-2.1 Horizontal and Vertical lines - Exercises
- 8-2.1 Quiz
- 8-3.1 Find Slope from Two Points
- 8.3 Find the slop of the line Passing Two Points
- 8-3.3 Find the slope and y-intercept ax+by=c
- 8-3.4 Perpendicular Lines
- 8-3.4 Parallel Lines
- 8-3.4 Parallel Lines
- 8.4 Find the equation of a line
- 8-4.2 Draw The Graph of a Line
- 8-4.6 Graph the Line from Two points
- 8.3 Graph The Line
- Graph The Line-Two Ways
- 8-4.1 Draw the Graph Slop and Y-intercept
- 8-4-2 Draw the graph of a line using slope Y-intercept form
- 8-4-5 Find the equation of a line that passes a given point
- 8-4.6 Finding Equations of Lines
- 8-4.6 Write the equation of the line that passes through the
- Find The Equation of a line
- 8-4 Slop and one point
- Graph The Line - Slop and Y intercept
- 8-4.1 For Teacher
- Chapter 8 Final Review
- 8-4.6 Find the equation of aline passing two points
- 8-3.3 Find Slope - y intercepet
- Parallel and Perpendicular Quiz - IMI Intake
- 8-1.2 Solve for Y
- 8-1.1
- Find slope from graph
- Graph The Line - Slope and Y intercept
Chapter 9
- 9-1.1 Find the Solution of two linear equations graphically.
- 9.1 Find the solution of two linear equations graphically
- 9.1 solving linear equations - two views
- 9-1.1 Quiz Find the solution of two Linear equations
- 9.2 Solve Two Linear Equations By Addition.
- 9-3.1 Solve a pair of equations by substitutions
- 9-2.1 Solve Two Linear Equations By addition.
- 9-1.1 Solving a linear system graphically
- 9-1.1 Graphing
- 9-3.1 Solving Pairs of Linear Equations by Substitution.
Chapter 10
Chapter 12
- 12-1.1 Angles Names
- 12-1.1 Angles Classifications
- 12-1.2 Use properties of adjacent angles, complementary angles, supplementary angles, vertical angles, corresponding angles, alternate-interior angles, alternate-exterior angles, same
- 12-1.2 Vertical angles
- 12-1.2 Corresponding Angles
- 12-1.2 Supplementary Angles
- 12-1.2 Complementary-and-Supplementary-Examples
- 12-1.2 Complementary Angles
- 12-1.2 Supplementary Angles
- 12-1.3 Polygon Names
- Quiz 12-1.2
- 12-2.1 Summary of Quadrilaterals Formulas
- 12-2.1 Summary of Polygon up to Six Sides - Quiz
- 12-2.2 Animation - Area of a Trapezoid
- 12-2.2 Find The Area
- 12-2.2 Find the Perimeter
- 12-3.3 Area Of A Triangle
- 12-3.1Triangles named by sides
- 12-3.1 Classify triangles based on the measures of their sides (scalene, isosceles, and equilateral) or the measures of their angles (acute, right, and obtuse).ngles
- 13-2.2Use the Pythagorean Theorem
- 12-3.3 Find The Area of Triangle
- Heron's Area Formula Practice
- 12-3.2 Pythagorean Theorem
- 12-3.4 Heron’s formula.
- 12-3.5 Angles in Triangles
- 12-3.5 Animation-Find The Missing Angle
- 12-3.5 Finding Missing Measures Exercises
- 12-3.3 Find the area of tirangle
- 12-4.1 Similar Polygons
- 12.5 Circle Terms
- 12-5.1 Area of circle
- 12-5.1 Area of a Circle (Animation)
- 12-5.1 Find the Area and Circumference of Circle
- 12-5.1 Circle
- 12-7.1 Prisms - Type of Prisms
- 12-7.1 Prism Parts.
- 12-7.1 Understand LSA for Prisms(Animation)
- 12-7.2 Understand The Triangular Prisms
- 12-7.3 Surface Area of Triangular Prism
- 12.8 Right Triangular Prism!
- 12-7.1 Identify the bases of the prism
- 12-7.1 Rectangular Prism LSA, TSA and Volume
- 12-7.2 TSA Animation
- 12-7.2 Example 4 Slanted Prism
- 12-7.1 Volume Prisms Exercises
- 12-7.3 Trapezoidal Prism
- 12-7.3 Volume of Triangular Prism
- 12-7.3 Trapezoidal prism
- Cross Sections of a Trapezoidal Prism
- Net of Cylinder
- 12-8.1 Net of a Cylinder
- 12-8.2 Cylinder V, LSA and TSA
- Cylinder Exercises
- 12-7 and 12-8 Exercises
- Net of a Cone
- Square Pyramid
- 12-4.1 Similar Polygons
- 12-8.2 Volume of Cylinders
- 3D - Cone
- 12-9.2Regular Pyramids
- Copy of 12-9.1 Volume and LSA of Pyramid
- 12-9.2 Pyramid - Volume
- 12-9.2 Volume,LSA and TSA of Cone
- 12-7.2 Prisms, Animation. Why 1/3 for volume?!
- Volume of Sphere
- 12-10.1 and 12-10.2 Sphere Examples
- 12-10.1 Surface Area of Sphere
- 12-10.2 Understand the volume
- 12-3.3 Area of Triangle
- 12-3.3 Find the Perimeter of Triangle
- 12-5.2
- Alternate interior
- 12-5.1 Understand Area of Circle
- 12-9.1 Understand The Volume of Pyramid
- 12-7.2 Surface Area (TSA and LSA)
- 12-3.1
- Prism - Net
- Parallelogram
Chapter 13
- 13-1.1A Identifying Sides of Right Triangles
- 13-1.1 B The terms Adjacent, Hypotenuse, and Opposite sides
- 13-1.2 Trigonometric ratio, Show the True Meaning
- 13-1.2 Find The 3 Main Trigonometric Ratios
- 13-1.2 Trigonometric ratios New
- 13-1.2 EX Find sin, cos and Tan in given Triangle
- 13.1-2 Find Sin, Cos and Tan Exe
- 13.1-2 Find Sin, Cos and Tan Exe
- 13-1.2 Quiz
- 13.1 Exercise One
- 13-1.3 Find Sin, Cos and Tan for given angle
- 13-2.1 Find the Angles When given Two Sides
- 13-2.1 Find The Measure of angles
- 13-2.1 Students Practice
- 13-2.1 Find Angle when given two sides
- Quiz: 13-2.1 Find angles when given two sides
- 13-3.1 Right Triangle Trig (Solving for Sides)
- 13-4.1 One side and One Angle - Solve Right Triangle
- 13-4.1 Solve Right Triangle Two Sides
- Right triangle Solver
- Chapter 13 All - Alaa
- 13-1.2 Identifying Trig Ratios
- 13-5.1 Application
- 13-5.1 Example 2
- 13-5.1 Exercise 4
- 13.2.1 Find the Value of missing Angle
Chapter 15
- 15-1.1 Bar Chart
- 15-1.1 Bar Graph-Quiz
- 15-1.1 Use Bar Graphs to Present Data
- 15-1.1 Creat Bar Chart By Students
- 15-2.1Circle Graph
- 15-2.1 Circle Graph-Find the Missing Percent.
- 15-2.1 and 15-1.2
- 15-2.1 Circle Graph
- 15-3.1 Line Graph
- 15-3.1 Line Graph
- 15.5 Find The Mean
- 15.5 and 15.6
- 15-5.1 and 15-6.1(Median)
- 15.5 Fina The Mean
- 15-8.1 Make a Frequancy Distribution
- 15.8 Grouped Data
- 15.11 Histogram
- 15.1 and 15.11 Use the Bar Graph and Histograms to View Data
- 15 All Graphs
- 15-1.1 Line Graph Cumulative Frequency
- 15-11.1 Draw Histograms
Segment Three Final Review
Segment Four Final Review
CASS1 TMAT 103 - Review material