GRADE8 PixelMath - pixel-editor-db.s3.ap-south-1.amazonaws.com
Transcript of 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