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L1 Lesson 1.1 Demonstrate an understanding of/to Properties of Rational Numbers Lesson 1.2 Demonstrate an understanding of/to Locate rational numbers on the number line Lesson 1.3 Demonstrate an understanding of/to Rational Numbers between two Rational Numbers Lesson 1.4 Demonstrate an understanding to: Perform addition of Rational Numbers and applying the knowledge to solve problems in word Lesson 1.5 Demonstrate an understanding to: Perform subtraction of Rational Numbers and applying the knowledge to solve problems in word Lesson 1.6 Demonstrate an understanding to: Perform multiplication of Rational Numbers and applying the knowledge to solve problems in word Demonstrate an understanding to: Perform division of Rational Numbers and applying the knowledge to solve problems in word Lesson 1.7 Lesson 1.8 Challenging Questions integrating the above concepts Chapter : 2.Linear Equations in One Variable L2 Lesson 2.1 Demonstrate an understanding to Solving linear equations Lesson 2.2 Reading and solving problems in word and presenting their answers Lesson 2.3 Verifying solutions by reasoning Lesson 2.4 Reduce equations to simpler forms Lesson 2.5 Word problems on above Lesson 2.6 Challenging Questions integrating the above concepts Chapter : 4.Practical Geometry L4 Lesson 4.1 Review constructing triangles given three measurement Lesson 4.2 Understand how many measurements are used to define a quadrilateral uniquely Lesson 4.3 Read information, translating to a rough sketch, writing down steps of construction, constructing and verifying the triangles and quadrilaterals using geometric instruments Lesson 4.4 Constructing quadrilaterals with five measurements Chapter : 3.Understanding Quadrilaterals L3 Lesson 3.1 Demonstrate an understanding to Identify polygons and their properties to determine the missing angles (angle sum property) or sides (including sum of measure of the exterior angles of a polygon) Lesson 3.2 Demonstrate an understanding of/to Convex and concave polygons Lesson 3.3 Demonstrate an understanding of/to Regular and irregular polygons Lesson 3.4 Constructing special quadrilaterals Lesson 4.6 Challenging Questions integrating the above concepts Be able to see the similarities and differences between shapes and understanding the whole family of quadrilaterals in its totality Lesson 3.5 Some special parallelograms Lesson 3.6 Challenging Questions integrating the above concepts Chapter : 5.Data Handling L5 Lesson 5.1 Demonstrate an understanding to Look for information: Plan and conduct survey Lesson 5.2 Demonstrate an understanding to Prepare frequency/tally marks tables Lesson 5.3 Demonstrate an understanding to Make tables/graphs (pictograph and bar graph) Lesson 5.4 Demonstrate an understanding to Introduce histogram (how similar and different it is from a bar graph) Lesson 5.5 Demonstrate an understanding to Make circle graphs/pie charts Lesson 5.6 Demonstrate an understanding to Comprehend data and making inferences Lesson 5.7 Understanding Chance and Probability Lesson 5.8 Understand random experiments and outcomes Lesson 5.9 Understand equally likely outcomes Lesson 5.10 Linking Chance to Probability Lesson 5.11 Chance and Probability related to real life scenarios Lesson 5.12 Word problems on all the above Chapter : 7.Cubes and Cube Roots L7 Lesson 7.1 Demonstrate an understanding to - Cubes and cube roots Lesson 7.2 Demonstrate an understanding to - Some interesting patterns Lesson 7.3 Demonstrate an understanding to - What are Hardy – Ramanujan number? Lesson 7.4 Estimate and calculate the cubes and cube roots of numbers through prime factorization Lesson 7.5 Understand the relationship between the cube and cube root L14 L15 Factors of Natural Numbers Lesson 14.1 Lesson 14.2 Factors of Algebraic Expressions Lesson 14.3 Method of Common Factors Lesson 14.4 Factorization by regrouping terms Lesson 14.5 Factorization using identities Lesson 14.6 Division of monomial by monomial Chapter : 8.Comparing Quantities L8 Lesson 8.1 Recalling Ratio and percentages Lesson 8.2 Find the Increase/Decrease Percent Lesson 8.3 Find discount Lesson 8.4 Prices related to buying and selling(Profit and loss) Lesson 8.5 Find sales tax/value added tax/ goods and services tax Lesson 8.6 Understand what is Compound Interest, deduce a formula for the same Lesson 8.7 Find rates compounded annually or half yearly Application of Compound Interest Formula Lesson 8.8 Lesson 8.9 Challenging Questions integrating the above concepts Chapter : 11.Mensuration L11 Demonstrate an understanding to calculate Area of trapezium Lesson 11.1 Lesson 11.2 Demonstrate an understanding to calculate Area of a general quadrilateral Lesson 11.3 Demonstrate an understanding to calculate Area of a special quadrilateral Demonstrate an understanding to calculate Area of a polygon Lesson 11.4 Lesson 11.5 Identify and understand: Solid shapes around us Lesson 11.6 Identify and understand: Congruent surfaces on solid shapes (cubes, cuboids, cones, cylinders) Lesson 11.7 Surface area of cube, cuboid and cylinder: Word problems Lesson 11.8 Volume of cube, cuboid and cylinder: word problems Understand the relation between volume and capacity Lesson 11.9 Lesson 11.10 Word problems Chapter : 9.Algebraic Expressions and Identities L9 Lesson 9.1 Demonstrate an understanding of An expression Lesson 9.2 Demonstrate an understanding of Terms, coefficients and factors Lesson 9.3 Demonstrate an understanding of Monomials, binomials and polynomials Lesson 9.4 Demonstrate an understanding of Like and unlike terms Lesson 9.5 Demonstrate an understanding to Adding, subtracting, multiplying and dividing expressions Lesson 9.6 Demonstrate an understanding to Multiplying a monomial with a monomial, a monomial with a polynomial, a polynomial by a polynomial Lesson 9.7 Demonstrate an understanding of An identity Lesson 9.8 Demonstrate an understanding of Standard identities Lesson 9.9 Demonstrate an understanding of Applying identities to determine products of two numbers or square of a number using identities Lesson 9.10 Word problems Chapter : 10.Visualizing Solid Shapes L10 Recognize 2D and 3D objects around Recognizing different shapes in nested objects like tent, table, a bowl, a photo frame and so on Demonstrate an understanding of the view of 3D shapes - View of figures made by joining cubes Demonstrate an understanding mapping space around us - Map is different from a picture Demonstrate an understanding of the view of 3D shapes - Front, side and above Chapter : 6.Square and Square Roots L6 Lesson 6.1 Demonstrate an understanding to estimate and calculate the square and square roots of numbers using prime factorization and division method. Lesson 6.2 Understanding the relationship between squares and square roots Lesson 6.3 Properties of square numbers and observing interesting patterns - Sum of consecutive natural numbers Lesson 6.4 Properties of square numbers and observing interesting patterns - Product of two consecutive even or odd natural numbers Chapter : 12.Exponents and Powers L12 Lesson 12.1 Demonstrate an understanding to Law of exponents Lesson 12.2 Demonstrate an understanding to Applying the laws of exponents to evaluate given expressions Lesson 12.3 Demonstrate an understanding to Powers with negative exponents Lesson 12.4 Demonstrate an understanding to Use of exponents to express small numbers in standard form Lesson 12.5 Demonstrate an understanding to Relating to very large and very small numbers used in real life Lesson 12.6 Word problems on the above Chapter : 13.Direct and Inverse Proportions L13 Lesson 13.1 Demonstrate an understanding to Find ratios and determine whether they form a proportion or not Lesson 13.2 Demonstrate an understanding to Direct proportion Lesson 13.3 Demonstrate an understanding to Inverse proportion Lesson 13.4 Identify scenarios having direct and inverse proportion Lesson 13.5 Relate day to day life instances to ratio and proportion Word problems on direct proportion Lesson 14.7 Division of polynomial by monomial Lesson 14.8 Division of polynomial by polynomial and checking for error Lesson 14.9 Challenging Questions integrating the above concepts Lesson 15.1 Demonstrate an understanding to Bar graphs, pie or circle graphs, histograms Lesson 15.2 Demonstrate an understanding to drawing: Line graphs Lesson 15.3 Demonstrate an understanding to drawing: Linear graphs Drawing the axes on graph sheets (x coordinate and y coordinate) Locating points in a quadrant and determining if the points are all situated on the same line Lesson 15.4 Lesson 15.5 Application of linear graphs - Independent variable (also called control variable) Lesson 15.6 Application of linear graphs - Dependent variable Lesson 15.7 Application of linear graphs - Graphing for independent and dependent variable problems including Principal and Simple Interest, Time Lesson 15.8 Challenging Questions integrating the above concepts Lesson 15.9 Chapter : 14.Factorization Chapter : 15.Introduction to Graphs L16 Lesson 16.1 Demonstrate an understanding to Numbers in general form Lesson 16.2 Demonstrate an understanding to Games with numbers Lesson 16.3 Reversing the digits – 2 digit number Reversing the digits – 3 digit number Letters for digits Lesson 16.4 Lesson 16.5 Tests of divisibility including for 10, 5, 2, 9 and 3) Lesson 16.6 Challenging Questions integrating the above concepts Lesson 16.7 Chapter : 16.Playing with Numbers Lesson 6.5 Properties of square numbers and observing interesting patterns - Pythagorean triplets Lesson 6.6 Find square root of decimals Lesson 6.7 Challenging Questions integrating the above concepts Lesson 13.6 Lesson 13.7 Word problems on inverse proportion Challenging Questions integrating the above concepts Lesson 13.8 Lesson 4.5 Lesson 10.1 Lesson 10.2 Lesson 10.4 Lesson 10.5 Demonstrate an understanding mapping space around us - Symbols for objects Demonstrate an understanding mapping space around us - Scale Lesson 10.6 Lesson 10.3 Demonstrate an understanding mapping space around us - Word problems on map of a city, a school, a park, a classromm and so on. Demonstrate an understanding of faces, edges and vertices - Eulers formula: F + V – E = 2 Demonstrate an understanding of faces, edges and vertices - What is a polyhedron Demonstrate an understanding of faces, edges and vertices - Convex and Regular polyhedrons Lesson 10.7 Lesson 10.8 Lesson 10.10 Challenging Questions integrating the above concepts Lesson 10.12 Lesson 10.11 Lesson 10.9 PixelMath Make Math practice as fun and engaging as Games Chapter : 1.Rational Numbers LESSON LEVELS CONCEPT GRADE 8 Lesson 7.6 Determine the cube closest to a given number Lesson 7.7 Challenging Questions integrating the above concepts www.pixelmath.org [email protected] 8280723657

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Page 1: GRADE8 PixelMath - pixel-editor-db.s3.ap-south-1.amazonaws.com

L1 Lesson 1.1 Demonstrate an understanding of/to Properties of Rational Numbers

Lesson 1.2 Demonstrate an understanding of/to Locate rational numbers on the number line

Lesson 1.3 Demonstrate an understanding of/to RationalNumbers between two Rational Numbers

Lesson 1.4Demonstrate an understanding to: Performaddition of Rational Numbers and applying the knowledge to solve problems in word

Lesson 1.5Demonstrate an understanding to: Performsubtraction of Rational Numbers and applying the knowledge to solve problems in word

Lesson 1.6Demonstrate an understanding to: Perform multiplication of Rational Numbers and applyingthe knowledge to solve problems in word

Demonstrate an understanding to: Perform division of Rational Numbers and applying the knowledge to solve problems in word

Lesson 1.7

Lesson 1.8 Challenging Questions integrating the aboveconcepts

Chapter : 2.Linear Equations in One Variable

L2 Lesson 2.1 Demonstrate an understanding to Solvinglinear equations

Lesson 2.2 Reading and solving problems in word andpresenting their answers

Lesson 2.3 Verifying solutions by reasoning

Lesson 2.4 Reduce equations to simpler forms

Lesson 2.5 Word problems on above

Lesson 2.6 Challenging Questions integrating the above concepts

Chapter : 4.Practical Geometry

L4 Lesson 4.1 Review constructing triangles given three measurement

Lesson 4.2 Understand how many measurements are used to define a quadrilateral uniquely

Lesson 4.3Read information, translating to a rough sketch, writing down steps of construction, constructing and verifying the triangles and quadrilaterals using geometric instruments

Lesson 4.4 Constructing quadrilaterals with five measurements

Chapter : 3.Understanding Quadrilaterals

L3 Lesson 3.1Demonstrate an understanding to Identifypolygons and their properties to determine the missing angles (angle sum property) or sides(including sum of measure of the exterior anglesof a polygon)

Lesson 3.2 Demonstrate an understanding of/to Convex andconcave polygons

Lesson 3.3 Demonstrate an understanding of/to Regular andirregular polygons

Lesson 3.4

Constructing special quadrilaterals

Lesson 4.6 Challenging Questions integrating the aboveconcepts

Be able to see the similarities and differences between shapes and understanding the whole family of quadrilaterals in its totality

Lesson 3.5 Some special parallelograms

Lesson 3.6 Challenging Questions integrating the above concepts

Chapter : 5.Data Handling

L5 Lesson 5.1 Demonstrate an understanding to Look forinformation: Plan and conduct survey

Lesson 5.2 Demonstrate an understanding to Preparefrequency/tally marks tables

Lesson 5.3 Demonstrate an understanding to Make tables/graphs (pictograph and bar graph)

Lesson 5.4 Demonstrate an understanding to Introduce histogram (how similar and different it is from a bar graph)

Lesson 5.5 Demonstrate an understanding to Make circlegraphs/pie charts

Lesson 5.6 Demonstrate an understanding to Comprehend data and making inferences

Lesson 5.7 Understanding Chance and Probability

Lesson 5.8 Understand random experiments and outcomes

Lesson 5.9 Understand equally likely outcomes

Lesson 5.10 Linking Chance to Probability

Lesson 5.11 Chance and Probability related to real life scenarios

Lesson 5.12 Word problems on all the above

Chapter : 7.Cubes and Cube Roots

L7 Lesson 7.1 Demonstrate an understanding to - Cubes and cube roots

Lesson 7.2 Demonstrate an understanding to - Some interesting patterns

Lesson 7.3 Demonstrate an understanding to - What areHardy – Ramanujan number?

Lesson 7.4 Estimate and calculate the cubes and cube roots of numbers through prime factorization

Lesson 7.5 Understand the relationship between the cube and cube root

L14

L15

Factors of Natural NumbersLesson 14.1

Lesson 14.2 Factors of Algebraic Expressions

Lesson 14.3 Method of Common Factors

Lesson 14.4 Factorization by regrouping terms

Lesson 14.5 Factorization using identities

Lesson 14.6 Division of monomial by monomial

Chapter : 8.Comparing Quantities

L8 Lesson 8.1 Recalling Ratio and percentages

Lesson 8.2 Find the Increase/Decrease Percent

Lesson 8.3 Find discount

Lesson 8.4 Prices related to buying and selling(Profit and loss)

Lesson 8.5 Find sales tax/value added tax/ goods and servicestax

Lesson 8.6 Understand what is Compound Interest, deduce a formula for the same

Lesson 8.7 Find rates compounded annually or half yearly

Application of Compound Interest FormulaLesson 8.8

Lesson 8.9 Challenging Questions integrating the above concepts

Chapter : 11.Mensuration

L11 Demonstrate an understanding to calculate Areaof trapeziumLesson 11.1

Lesson 11.2Demonstrate an understanding to calculate Area of a general quadrilateral

Lesson 11.3 Demonstrate an understanding to calculate Area of a special quadrilateral

Demonstrate an understanding to calculate Area of a polygonLesson 11.4

Lesson 11.5 Identify and understand: Solid shapes around us

Lesson 11.6 Identify and understand: Congruent surfaces onsolid shapes (cubes, cuboids, cones, cylinders)

Lesson 11.7Surface area of cube, cuboid and cylinder: Word problems

Lesson 11.8 Volume of cube, cuboid and cylinder: word problems

Understand the relation between volume and capacityLesson 11.9

Lesson 11.10 Word problems

Chapter : 9.Algebraic Expressions and Identities

L9 Lesson 9.1 Demonstrate an understanding of An expression

Lesson 9.2 Demonstrate an understanding of Terms,coefficients and factors

Lesson 9.3 Demonstrate an understanding of Monomials, binomials and polynomials

Lesson 9.4 Demonstrate an understanding of Like and unliketerms

Lesson 9.5 Demonstrate an understanding to Adding, subtracting, multiplying and dividing expressions

Lesson 9.6 Demonstrate an understanding to Multiplying a monomial with a monomial, a monomial with apolynomial, a polynomial by a polynomial

Lesson 9.7 Demonstrate an understanding of An identity

Lesson 9.8 Demonstrate an understanding of Standard identities

Lesson 9.9Demonstrate an understanding of Applyingidentities to determine products of two numbers or square of a number using identities

Lesson 9.10 Word problems

Chapter : 10.Visualizing Solid Shapes

L10 Recognize 2D and 3D objects around

Recognizing different shapes in nested objects like tent, table, a bowl, a photo frame and so on

Demonstrate an understanding of the view of 3Dshapes - View of figures made by joining cubes

Demonstrate an understanding mapping spacearound us - Map is different from a picture

Demonstrate an understanding of the view of 3D shapes - Front, side and above

Chapter : 6.Square and Square Roots

L6 Lesson 6.1Demonstrate an understanding to estimate and calculate the square and square roots of numbersusing prime factorization and division method.

Lesson 6.2 Understanding the relationship between squares and square roots

Lesson 6.3Properties of square numbers and observing interesting patterns - Sum of consecutive natural numbers

Lesson 6.4Properties of square numbers and observing interesting patterns - Product of two consecutive even or odd natural numbers

Chapter : 12.Exponents and Powers

L12 Lesson 12.1 Demonstrate an understanding to Law of exponents

Lesson 12.2 Demonstrate an understanding to Applying the laws of exponents to evaluate given expressions

Lesson 12.3 Demonstrate an understanding to Powers withnegative exponents

Lesson 12.4Demonstrate an understanding to Use of exponents to express small numbers in standard form

Lesson 12.5 Demonstrate an understanding to Relating to verylarge and very small numbers used in real life

Lesson 12.6 Word problems on the above

Chapter : 13.Direct and Inverse Proportions

L13 Lesson 13.1 Demonstrate an understanding to Find ratios and determine whether they form a proportion or not

Lesson 13.2 Demonstrate an understanding to Direct proportion

Lesson 13.3 Demonstrate an understanding to Inverse proportion

Lesson 13.4 Identify scenarios having direct and inverse proportion

Lesson 13.5 Relate day to day life instances to ratio and proportion

Word problems on direct proportion

Lesson 14.7 Division of polynomial by monomial

Lesson 14.8 Division of polynomial by polynomial and checking for error

Lesson 14.9 Challenging Questions integrating the above concepts

Lesson 15.1 Demonstrate an understanding to Bar graphs, pie or circle graphs, histograms

Lesson 15.2 Demonstrate an understanding to drawing: Line graphs

Lesson 15.3 Demonstrate an understanding to drawing: Linear graphs

Drawing the axes on graph sheets (x coordinate and y coordinate)

Locating points in a quadrant and determining if the points are all situated on the same line

Lesson 15.4

Lesson 15.5

Application of linear graphs - Independent variable (also called control variable)Lesson 15.6

Application of linear graphs - Dependent variableLesson 15.7

Application of linear graphs - Graphing forindependent and dependent variable problems including Principal and Simple Interest, Time

Lesson 15.8

Challenging Questions integrating the above conceptsLesson 15.9

Chapter : 14.Factorization

Chapter : 15.Introduction to Graphs

L16 Lesson 16.1 Demonstrate an understanding to Numbers in general form

Lesson 16.2 Demonstrate an understanding to Games with numbers

Lesson 16.3 Reversing the digits – 2 digit number

Reversing the digits – 3 digit number

Letters for digits

Lesson 16.4

Lesson 16.5

Tests of divisibility including for 10, 5, 2, 9 and 3)Lesson 16.6

Challenging Questions integrating the above conceptsLesson 16.7

Chapter : 16.Playing with Numbers

Lesson 6.5 Properties of square numbers and observing interesting patterns - Pythagorean triplets

Lesson 6.6 Find square root of decimals

Lesson 6.7 Challenging Questions integrating the above concepts

Lesson 13.6

Lesson 13.7 Word problems on inverse proportion

Challenging Questions integrating the aboveconceptsLesson 13.8

Lesson 4.5

Lesson 10.1

Lesson 10.2

Lesson 10.4

Lesson 10.5

Demonstrate an understanding mapping space around us - Symbols for objects

Demonstrate an understanding mapping space around us - Scale

Lesson 10.6

Lesson 10.3

Demonstrate an understanding mapping space around us - Word problems on map of a city, aschool, a park, a classromm and so on.

Demonstrate an understanding of faces, edges and vertices - Eulers formula: F + V – E = 2

Demonstrate an understanding of faces, edges and vertices - What is a polyhedron

Demonstrate an understanding of faces, edges and vertices - Convex and Regular polyhedrons

Lesson 10.7

Lesson 10.8

Lesson 10.10

Challenging Questions integrating the above concepts

Lesson 10.12

Lesson 10.11

Lesson 10.9

PixelMathMake Math practice as fun and engaging as Games

Chapter : 1.Rational Numbers

LESSON LEVELS CONCEPT

GRADE8

Lesson 7.6 Determine the cube closest to a given number

Lesson 7.7 Challenging Questions integrating the above concepts

www.pixelmath.org [email protected] 8280723657