1. Exponent Laws: Integral Exponents
Description: These two links include a brief introduction to exponents and the history of exponents.
Core Concepts: Introduction and History of exponents.
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Description: The links are about the concepts and laws of exponents.
Core Concepts: Exponent Laws.
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Description: The video lesson talks about the zero and negative exponents.
Core Concepts: Zero and Negative exponents.
Link: Web page on Zero and Negative Exponents
Description: The link contains rules, methods, simplification and some examples to fractional exponents.
Core Concepts: Fractional Exponents.
Link: Web page on Fractional Exponents
Description: The link contains some examples on exponential expressions.
Core Concepts: Exponential Expressions.
2. Rational, Irrational and real Numbers
Description: These links explains a brief introduction to rational and irrational numbers and their properties.
Core Concepts: Introduction to Rational and Irrational Numbers.
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- Web page on Introduction to rational and irrational numbers
- Web page on Properties rational and irrational number
Description: This link contains the discovery of an irrational number.
Core Concepts: History of Irrational Number.
Link: Web page on History of Irrational Number
Description: These videos sows what rational and irrational numbers are and how to classify them.
Core Concepts: Concept of real numbers.
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Description: This video describes the history and math behind irrational numbers..
Core Concepts: Introduction to Real Numbers.
Link: Video on Real Numbers
Description: This video is about approximating the values of irrational numbers..
Core Concepts: Estimating values of Irrational numbers.
Link: Video on how to estimate the value of irrational number
Description: This link contains how numbers are placed on a number line.
Core Concepts: Representing real number on a number line.
Link: Web page on representing Number real on a number Line
Description: This video demonstrates the order of operations of real numbers.
Core Concepts: Order of operations.
3. Set Theory
Description: The link contains introductory notes and resourceful links on Sets.
Core Concepts: Introduction to Set theory.
Link: Web page on Introduction to Set Theory
Description: The link contains concepts on types of sets and their denotations.
Core Concepts: Types of Sets.
Link: Web page on Types of sets
Description: Refer the links to understand operations on sets with the help of some examples.
Core Concepts: Operations on set.
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4. Commercial Mathematics
Description: The link contains tips on how to become financially literate.
Core Concepts: Financial literacy introduction.
Link: Web page on Financial Literacy Definition
Description: The video demonstrates how to calculate simple interest.
Core Concepts: Calculating Simple interest.
Link: Video on Simple Interest Calculation
Description: This video demonstrates how to solve problems involving purchases using the idea of percentage.
Core Concepts: Purchasing Decision.
Link: Video on concept of Purchasing Decision and its calculation
5. Polynomial Expressions
Description: This link provides a basic introduction to Polynomials. It explains how to identify the types of polynomials. It also explains how to identify all of the terms in a polynomial.
Core Concepts: Introduction to Polynomials.
Link: Web page on Introduction to Polynomials
Description: This link provides concepts on definition of polynomials, polynomial degree, and types of polynomials.
Core Concepts: Types of Polynomials.
Link: Web page on Types of Polynomials
Description: The links contains addition and subtraction of polynomials pictorially and symbolically & virtual manipulations of polynomial tiles which can be used to model polynomial operations .
Core Concepts: Operations on Linear Polynomials.
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Description: This link demonstrates how to multiply polynomials symbolically.
Core Concepts: Multiplying Polynomials.
Link: Web page on Multiplying polynomials
Description: These links demonstrates how to divide polynomials in a tabular method and by using a long method.
Core Concepts: Dividing Polynomials (tabular and long method).
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6. Linear and Non-Linear Relations and Graphs
Description: The link discusses the applications of Linear equations.
Core Concepts: Application of Linear Equations in real life.
Link: Web page on Application of Linear Equations
Description: The video link includes a lesson on how to identify relations.
Core Concepts: Identify relations.
Link: Video on Identifying relations
Description: The video link discusses how to graph equations in slope and y - intercept form.
Core Concepts: Graphing equations in slope and y-intercept form.
Link: Video on Graphing a line in slope and y-intercept
Description: The video link demonstrates how to graph equations when given in standard form.
Core Concepts: Graphing equations in standard form.
Link: Video on Graphing Lines in Standard Form
Description: The link explains how to write the equations from the graphs.
Core Concepts: Determining the equations from the graph.
Link: Web page on Determining the equations from graphs
Description: The video link contains discussions on independent and dependent variables.
Core Concepts: Independent and dependent variables.
Link: Video on Independent vs. Dependent Variables
Description: The videos and web link explain the concept of continuous and discrete data.
Core Concepts: Continuous and discrete data.
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- Video on Continuous and discrete data
- Video on discrete and continuous data
- Web page on Continuous and discrete data
Description: The video link is about interpolation and extrapolation.
Core Concepts: Interpolation and extrapolation.
Link: Video on Interpolation and Extrapolation
Description: The link is about how to derive the equations.
Core Concepts: Determining the equations.
Link: Web page Deriving the Equation y = mx+b
Description: The weblink contains concepts on some examples to model functions.
Core Concepts: Modeling functions.
7. Linear equations and Inequalities
Description: The link is about introduction to linear inequalities.
Core Concepts: Introduction to linear inequalities.
Link: Web page on What are Inequalities?
Description: The video explains how to balance an equation to find the value of the variable.
Core Concepts: Balancing equations.
Link: Video on Balancing Equations
Description: The weblink contains concepts related to solving equations using inverse operations.
Core Concepts: Solving Equations.
Link: Website on introduction to sets
Description: The links explains how to solve linear inequality problems algebraically and graphically & to understand the concept of solving linear inequalities.
Core Concepts: Solving linear inequalities.
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Description: The link contains concepts that demonstrate how to graph a linear inequality.
Core Concepts: The graph of linear inequality.
Link: Web link on Graphing an Inequality
Description: The URL contains a lesson on how to write an inequality from the graph.
Core Concepts: Writing inequality from a graph.
8. Precision and Accuracy
Description: This video explains what precision and accuracy are and how it can help us to measure things more accurately.
Core Concepts: Introduction to linear precision and accuracy.
Link: Video on difference between precision and accuracy
Description: This video explains how to interpret measurements based on the precision of the instrument.
Core Concepts: Precision on an instrument.
Link: Video on what is precision
Description: This link contains the meaning of significant figures and rules for counting significant figures.
Core Concepts: Significant Figures.
9. Properties of 2-D efficiency
Description: The video tutorial can be used to demonstrate how to construct 2-D shapes to compare their efficiency.
Core Concepts: Comparing 2-D efficiency.
Link: Video on Comparing efficiency of Regular Polygons
Description: The video tutorial demonstrates efficiency of various 2-D shapes using Geogebra by keeping either the perimeter or the area the same.
Core Concepts: Comparing efficiency through construction.
10. Congruence and Similarity of Triangles
Description: This video contains each condition of congruence in detail with pictorial animations.
Core Concepts: Triangle Congruence Theorems.
Link: Video on condition of congruence
Description: This link encompasses the application of a similar triangle along with three conditions of similarity.
Core Concepts: Application of similar triangles.
Link: Video on applications of similar triangles
Description: This video explains similar triangles’ properties and conditions for similarity.
Core Concepts: Properties of similarity.
11. Trigonometry
Description: The links shows the history of trigonometry.
Core Concepts: Introduction to Trigonometry.
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Description: The video link is about how to name the sides with respect to the given angle.
Core Concepts: Naming the sides.
Link: Video on naming the sides based on angle
Description: The video link discusses trigonometric ratios for beginners.
Core Concepts: Trigonometric Ratios.
Link: Video on Trigonometry ratios
Description: The links contains the worksheets on Pythagorean theorem.
Core Concepts: Pythagorean Theorem.
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Description: The links explains the Pythagorean identities and some examples on trig identities.
Core Concepts: Trigonometric Identities.
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Description: The video explains the concept of angles of elevation and Depression with solved examples.
Core Concepts: Angles of Elevation and Depression.
Link: Video on Angles Of Elevation & Depression
Description: The links contains the worksheets on trigonometric ratios.
Core Concepts: Calculating side lengths and angles.
Link: Worksheet on Finding Sides and Angles
Description: This video can be used to teach the concept of calculating the area of a triangle using trigonometry.
Core Concepts: Calculating areas of polygons.
Link: Video on calculating area of triangle using trigonometry
Description: This video explains how to calculate the area of a regular pentagon using trigonometry. Same process can be used to calculate the area of other regular polygons.
Core Concepts: Calculating areas of regular polygons.
12. Transformation
Description: The web link contains concepts on introduction to transformation.
Core Concepts: Introduction to Transformation.
Link: Web page on introduction to Transformation geometry
Description: Refer the web link to understand the application and scope of learning transformation in real life.
Core Concepts: Application of Transformation.
Link: Web page on Transformations in Real Life
Description: The video contains basic explanations on types of transformations.
Core Concepts: Types of transformation.
Link: Video on Transformation and its types
Description: Use the links to understand the concept of translation and its mapping notation.
Core Concepts: Translation.
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Description: Use the links to understand the concept of reflection and its mapping notation.
Core Concepts: Reflection.
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Description: Use the links to understand the concept of rotation and its mapping notation.
Core Concepts: Rotation.
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Description: Use the links to understand the concept of dilation and its mapping notation.
Core Concepts: Dilation.
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Description: Use the link to understand composite or combined transformation.
Core Concepts: Composite Transformation.
13. Collecting, Displaying and Analyzing Data
Description: The video demonstrates the process of constructing stem and leaf plots.
Core Concepts: Stem and leaf plot.
Link: Video on Stem and leaf plot
Description: The video demonstrates the process of constructing a box and whisker plot.
Core Concepts: Box and whisker plot.
Link: Video on Box plot
Description: The videos demonstrates the process of constructing a circle graph and a bar graph.
Core Concepts: Circle and Bar graph.
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Description: The videos demonstrate the process of constructing a Histogram.
Core Concepts: Histogram.
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Description: The link explains the reasons for choosing a right graph to represent the set of data.
Core Concepts: Choosing a right type of graph.
Link: Web page on Choosing right graph type
Description: Use the link to explain the reasons for misleading graphs.
Core Concepts: Misleading graph.
14. Probability
Description: This video is a quick introduction to the fascinating history of Probability Theory.
Core Concepts: Introduction to probability.
Link: Video on history of probability
Description: This link provides access to various probability devices that can be used for conducting an experimental probability.
Core Concepts: Probability devices.
Link: Virtual manipulative of probability devices
Description: These videos explain the basic concepts of probability and calculation of probability.
Core Concepts: Calculating probability.
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