# Mathematics - Class VII Resources

The following list of online resources are provided as a sample of curated resources. New resources shall be added as we come across interesting and relevant online materials.

#### 1. Divisibility Test

Description: This web link contains: A history and User’s Guide on Divisibility Tests.

Core Concepts: Introduction on Divisibility Tests.

Description: This web link contains: Detail description on divisibility tests with an example(s).

Core Concepts: Divisibility rule from 1-to-13.

Description: Video on Divisibility test rules for numbers 1–to-13, symbolically.

Core Concepts: Divisibility rule from 1-to-13.

Description: Worksheet on Divisibility tests.

Core Concepts: Divisibility Tests Concepts.

Description: This web link contains: Examples of Divisibility tests in real life-scenarios.

Core Concepts: Divisibility Tests (Application).

Link: Webpage on examples of divisibility tests in real life

#### 2. Lowest Common Multiple (LCM)  and Greatest Common Factor (GCF)

Description: This web link contains: Introducing LCM & GCF.

Core Concepts: LCM & GCF.

Description: This web link contains: Problems on LCM & GCF.

Core Concepts: LCM & GCF.

Description: Video on determining LCM and GCF using ladder method (division method).

Core Concepts: LCM & GCF.

Description: Worksheet on word problems.

Core Concepts: LCM & GCF.

#### 3. Powers

Description: This web link contains: Definition and Examples of Powers (Exponent).

Core Concepts: Powers.

Description: Video on introduction to exponents.

Core Concepts: Exponents and Base.

Description: Video on describing and expressing numbers into an exponential form.

Core Concepts: Exponential Form.

Description: Video on expressing numbers in expanded form and exponential form.

Core Concepts: Exponential/Standard/Expanded Form.

Link: Video on expressing numbers in expanded form and exponential form

#### 4. Decimal Operation

Description: This web link contains: History of decimal point.

Core Concepts: Decimal Operation.

Description: This web link contains: Decimal Operations: Definition, Rules, Solved Examples .

Core Concepts: Decimal Operation.

Description: Video on introducing multiplying decimals.

Core Concepts: Multiplying Decimals.

Description: Video on dividing decimals.

Core Concepts: Dividing Decimals.

Description: Video on decimal multiplication and division.

Core Concepts: Decimal Multiplication and Division.

Description: Video on order of operations.

Core Concepts: Order of Operations.

Link: Video on order of operations

#### 5. Fractions

Description: These web links contains: History of Fractions.

Core Concepts: History of Fractions.

Description: Video on comparing fractions using number line.

Core Concepts: Comparing Fractions.

Description: Video on how to compare and order fractions.

Core Concepts: Comparing and Ordering Fractions.

Description: This web link contains: Converting fractions to decimals (terminating and recurring decimals).

Core Concepts: Fractions to Decimals.

Description: Video on adding fractions with rectangle models.

Description: Video on subtracting fractions with rectangle models.

Core Concepts: Subtracting Fractions.

Description: Video on adding and subtracting fractions using LCM..

Core Concepts: Adding and Subtracting Fractions.

#### 6. Ratio, Rate, and Percent

Description: This web link contains: Introduction on ratio.

Core Concepts: Ratio.

Description: Video on writing ratios.

Core Concepts: Ratio.

Description: Worksheet on percent.

Core Concepts: Percentage.

#### 7. Integers

Description: Video on introduction of  integers.

Core Concepts: Integers.

Description: This web link contains: History on Integers.

Core Concepts: Integers.

Description: Videos on adding and subtracting integers using counters,  using umber lines and symbolically.

Core Concepts: Adding and Subtracting of Integers.

#### 8. Patterns and Relations

Description: This web link contains: History of Patterns.

Core Concepts: Patterns.

Description: Video on variable (introduction to algebra).

Core Concepts: Representing a Changing Quantity.

Description: Video on making predictions for unknown values.

Core Concepts: Unknown Values.

Description: Video on raw pattern rule from a description.

Core Concepts: Pattern Rule.

Description: Video on simplifying algebraic expression.

Core Concepts: Simplifying Expressions.

Link: Video on simplifying algebraic expression

9. Solving Single Variable Linear Equation

Description: Video on solving linear equations .

Core Concepts: Solving Linear Equations.

Description: Videos on solving equations using the idea of balancing and symbolically.

Core Concepts: Solving Linear Equations.

Description: This web link contains: Linear equation  Applications.

Core Concepts: Solving Linear Equations.

Link: Webpage on linear equation applications

#### 10. Graphical Representation

Description: These link contains: Constructing a straight-line graph and Drawing straight-line graph using GeoGebra.

Core Concepts: Straight-Line Graph.

#### 11. SI Units

Description: Video on metric system conversions.

Core Concepts: Metric Unit Conversions.

Description: This web link contains: Conversion of Imperial units to Metric Units.

Core Concepts: Metric Unit Conversions.

Description: Worksheet on metric unit conversion.

Core Concepts: Metric Unit Conversions.

Description: Worksheet on converting units from one form to another form..

Core Concepts: Metric Unit Conversions.

#### 12.  Perimeter of Polygons and Composite Shapes

Description: Worksheet and videos on calculating perimeter of Irregular shapes, perimeter of composite shapes and perimeter of polygons..

Core Concepts: Perimeter of Irregular Shapes, Composite Shapes and Polygons.

Description: This link contains: Determining perimeter of the composite shapes.

Core Concepts: Perimeter of composite shapes.

#### 13. Area of Regular Polygons and Composite Shapes

Description: This link contains: Calculating the area of quadrilaterals, sectors and circles.

Core Concepts: Area.

Description: This link contains: Calculating the area of Composite shape.

Core Concepts: Area of Composite Shapes.

Description: This web link contains: Exploring relationship between area and perimeter.

Core Concepts: Relationship Between Area and Perimeter.

Description: Worksheet on calculating the area and perimeter.

Core Concepts: Area and Perimeter.

Link: Worksheet on calculating the area and perimeter

#### 14. Circumference of a Circle

Description: This link contains: Manipulating the radius of the circle to find the corresponding circumference.

Core Concepts: Radius, Diameter & Circumference.

Description: Video and Worksheet on determining and finding of  circumference of a circle.

Core Concepts: Circumference of Circle.

#### 15. Angle Relationships

Description: This web link contains: History of Angles.

Core Concepts: Angles.

Description: This web link contains: How triangles are used in real life situations.

Core Concepts: Triangles (Scope and Utility).

Description: Video on finding the sum of interior angles in a triangle.

Core Concepts: Interior angles in a triangle.

Description: This web link contains: Side and angle relationships.

Core Concepts: Triangle and Angle Relationship.

Description: This web link contains: Definition of angles and triangles.

Core Concepts: Angle and Triangle.

Description: Worksheet on triangle-angle sum practice.

Core Concepts: Angle and Triangle.

Description: Worksheet on naming angles.

Core Concepts: Angles (History/Theorems).

#### 16. Constructing and Bisecting Angles

Description: This web link contains: History and Theorems of angles.

Core Concepts: Angles (History/Theorems).

Description: This web link contains: Euclid’s Elements.

Core Concepts: Introduction/History (Euclid’s Elements).

Description: Videos on constructing 300, 450, 600, 900 , 120and  180angles.

Core Concepts: Construction of Angles.

Description: Video on constructing an angle bisector.

Core Concepts: Angle Bisector.

Description: This link contains: Exploring angle bisector using GeoGebra.

Core Concepts: Angle Bisector.

#### 17. Properties of Transformation

Description: The web link contains a video that shows how a variable can represent a changing quantity.

Core Concepts: VII-B1 Patterns and relations.

Link: Video on what is a variable?

#### 18. Properties of Transformation

Description: These links contains: Exploring Translation and Exploring Reflection of 2-D shape using GeoGebra .

Core Concepts: Translation and Reflection.

Description: Video on rotating a shape using compass and protector.

Core Concepts: Rotation.

Description: These links contains: Exploring rotation on a grid and Exploring rotation of 2-D shapes using GeoGebra.

Core Concepts: Rotation.

Description: Video on three basic transformations.

Core Concepts: Translation, Reflection, & Rotation.

Description: This link contains: Exploring three basic transformations using GeoGebra.

Core Concepts: Investigating Transformation.

Link: Webpage on exploring three basic transformations (GeoGebra)

Description: Video on identifying transformations in Tessellation.

Core Concepts: Tessellations.

#### 19. Isometric Drawings

Description: This web link contains: Introduction on Isometric Drawing (What is Isometric Drawing?).

Core Concepts: Isometric Drawings.

Description: Videos on introducing how to create isometric drawing and creating isometric drawing on GeoGebra.

Core Concepts: Isometric Drawings.

Description: This web link contains: Information on Isometric Drawing Tool.

Core Concepts: VII-B1 Patterns and relations.

#### 20. Data Handling

Description: Videos on research methods: Observations (Sociology Theory & Methods) and Interviews (Sociology Theory & Methods).

Core Concepts: Research through Observation  and through Interview.

Description: Video on biased and unbiased estimators from sampling distributors examples.

Core Concepts: Sampling.

Description: Video on creating stem and leaf plot.

Core Concepts: Stem and Leaf Plot.

Description: Videos on how to make a grouped frequency table and creating histogram using GeoGebra.

Core Concepts: Constructing Histogram.

Description:  This link contains: Exploring on Mean, Median, Mode, and Range with definitions and video on finding mean, median, and model.

Core Concepts: Measures of Central Tendency.

#### 21. Probability

Description: These web links contains: The origins of probability and  the scope and utility of probability.

Core Concepts: Probability.