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4 Grade 10 MATEMATICS Term 1 GRADE 10,TERM 1: REsouRcE PAck REsouRcE 3 LESSON 4 INVESTIGATION, RUBRIC AND MARKING GUIDE ALGEBRA INVESTIGATION – GRADE 10 A square with length a is drawn on the following page. Work with a partner and follow the steps below: PART A 1. Write an expression representing the area of the square in terms of a. 2.
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Part A Place your answers only in the space provided. Answers 1. Determine the slope of the line. 3 2 8 0x y 3 1.5 2 m or 2. Determine the equation of the vertical line passing through A (5, 11). x 5 3. Determine the distance between the points X (-1, 5) and Y (4, 17) d 13 4. Determine the midpoint between P(-2, 7) and Q (8, 21).
Mar 16, 2022 · This resource is revision material for grade 10 for term 1. The content covered is: 1. Products & Factorization 2. Simplification of Fractions 3. Solving of Equations 4. Solving Inequalities.
BASELINE ASSESSMENT FOR GR. 10 EUCLIDEAN GEOMETRY: 1. Calculate the value of T and give a reason for your answer (2) 2. Calculate the value of T and give a reason for your answer (2) 3. Calculate the sizes of the following angles and give reasons for your answers 1 4 F 3.1 1 FÖ (3) 3.2 2 EÖ (3) 3.3 3 FÖ (2) 3.4 4 FÖ (2) x 43°
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- Commercial Mathematics
- Algebra/Linear Algebra
- Reflection and Coordinate Geometry
- Geometry and Measurement
- Trigonometry
- Statistics and Probability
Compound Interest
1. Compound Interest Definition 2. Compound Interest 3. Compound Interest with Growing Principal 4. Compound Interest with Periodic Deductions 5. Compound Interest by Using Formula 6. Compound Interest when Interest is Compounded Yearly 7. Compound Interest when Interest is Compounded Half-Yearly 8. Compound Interest when Interest is Compounded Quarterly 9. Problems on Compound Interest 10. Variable Rate of Compound Interest 11. Difference of Compound Interest and Simple Interest 12. Practice...
Sales Tax and Value Added Tax
1. Calculation of Sales Tax 2. Sales Tax in a Bill 3. Mark-ups and Discounts Involving Sales Tax 4. Profit Loss Involving Tax 5. Value Added Tax 6. Problems on Value Added Tax (VAT) 7. Worksheet on Printed Price, Rate of Sales Tax and Selling Price 8. Worksheet on Profit/Loss Involving Sales Tax 9. Worksheet on Sales Tax and Value-added Tax 10. Worksheet on Mark-ups and Discounts Involving Sales Tax
Shares and Dividends
1. Share and Value of Shares 2. Dividend and Rate of Dividend 3. Calculation of Income, Return, and Number of Shares 4. Problems on Income and Return from Shares 5. Problems on Shares and Dividends 6. Worksheet on Basic Concept on Shares and Dividends 7. Worksheet on Income and Return from Shares 8. Worksheet on Share and Dividend
Linear Inequations in One Variable
1. Linear Inequation in One Variable 2. Laws of Inequality 3. Replacement Set and Solution Set in Set Notation 4. Difference Between Equation and Inequation 5. Solving a Linear Inequation Algebraically 6. Problems on Law of Inequality 7. Problems on Linear Inequation 8. Worksheet on Laws of Inequality 9. Worksheet on Solution of a Linear Inequation in One Variable
Quadratic Equation
1. Introduction to Quadratic Equation 2. Formation of Quadratic Equation in One Variable 3. Solving Quadratic Equations 4. General Properties of Quadratic Equation 5. Methods of Solving Quadratic Equations 6. Roots of a Quadratic Equation 7. Examine the Roots of a Quadratic Equation 8. Problems on Quadratic Equations 9. Quadratic Equations by Factoring 10. Word Problems Using Quadratic Formula 11. Examples on Quadratic Equations 12. Word Problems on Quadratic Equations by Factoring 13. Worksh...
Factorization
1. Polynomial 2. Polynomial Equation and its Roots 3. Division Algorithm 4. Remainder Theorem 5. Problems on Remainder Theorem 6. Factors of a Polynomial 7. Worksheet on Remainder Theorem 8. Factor Theorem 9. Application of Factor Theorem
Reflection
1. Position of a Point in a Plane 2. Reflection of a Point in a Line 3. Reflection of a Point in the x-axis 4. Reflection of a Point in the y-axis 5. Reflection of a Point in the Origin 6. Reflection of a Point in a Line Parallel to the x-axis 7. Reflection of a Point in a Line Parallel to the y-axis 8. Problems on Reflection in the x-axis or y-axis 9. Invariant Points for Reflection in a Line 10. Reflection in Lines Parallel to Axes 11. Worksheet on Reflection in the Origin
Distance and Section Formulae
1. Distance Formula 2. Distance Properties in some Geometrical Figures 3. Conditions of Collinearity of Three Points 4. Problems on Distance Formula 5. Distance of a Point from the Origin 6. Distance Formula in Geometry 7. Section Formula 8. Midpoint Formula 9. Centroid of a Triangle 10. Worksheet on Distance Formula 11. Worksheet on Collinearity of Three Points 12. Worksheet on Finding the Centroid of a Triangle 13. Worksheet on Section Formula
Equation of a Straight Line
1. Inclination of a Line 2. Slope of a Line 3. Intercepts Made by a Straight Line on Axes 4. Slope of the Line Joining Two Points 5. Equation of a Straight Line 6. Slope-intercept Form of a Straight Line 7. Point-slope Form of a Line 8. Two-point Form of a Line 9. Equally Inclined Lines 10. Slope and Y-intercept of a Line 11. Condition of Perpendicularity of Two Straight Lines 12. Condition of parallelism 13. Problems on Condition of Perpendicularity 14. Worksheet on Slope and Intercepts 15....
Loci
1. Concept of loci 2. Theorems on Locus of a Point which is Equidistant from Two Fixed Points
Properties of Tangents
1. Secant and Tangent 2. Common Tangents to Two Circles 3. Tangent – Perpendicular to Radius 4. Two Circles Touch each Other 5. Two Tangents from an External Point 6. Angles between the Tangent and the Chord 7. Problems on Properties on Tangents 8. Chord and Tangent Intersect Externally 9. Direct Common Tangents 10. Important Properties of Direct Common Tangents 11. Transverse Common Tangents 12. Important Properties of Transverse Common Tangents 13. Examples of Loci Based on Circles Touching...
Area and Perimeter of a Circle
1. Area and Perimeter of a Circle 2. Area and Perimeter of a Sector of a Circle 3. Area and Perimeter of a Semicircle and Quadrant of a Circle 4. Area of Combined Figures 5. Area of the Shaded Region 6. Find the Area of the Shaded Region 7. Application Problems on Area of a Circle
Trigonometrical Ratios and Identities
1. Basic Trigonometric Ratios 2. Relations Between the Trigonometric Ratios 3. Properties of Trigonometrical Ratios 4. Problems on Trigonometric Ratios 5. Reciprocal Relations of Trigonometric Ratios 6. Trigonometrical Identity 7. Problems on Trigonometric Identities 8. Elimination of Trigonometric Ratios 9. Eliminate Theta between the equations 10. Problems on Eliminate Theta 11. Trig Ratio Problems 12. Proving Trigonometric Ratios 13. Trig Ratios Proving Problems 14. Verify Trigonometric Id...
Trigonometric Ratios of Complementary Angles
1. Complementary Angles and their Trigonometric Ratios 2. Worksheet on Evaluation using Trigonometric Ratios of Complementary Angles 3. Worksheet on Establishing Equality using Trigonometric Ratios of Complementary Angles 4. Worksheet on Establishing Identities and Simplification Using Trigonometric Ratios of Complementary Angles
Height and Distance
1. Angle of Elevation 2. Angle of Depression 3. Height and Distance with Two Angles of Elevation 4. Finding sin Value from Trigonometric Table 5. Finding cos Value from Trigonometric Table 6. Finding tan Value from Trigonometric Table 7. Worksheet on Heights and Distances
Graphical Representation
1. Histogram 2. Frequency Polygon 3. Method of Constructing a Frequency Polygon with the Help of a Histogram 4. Method of Constructing Frequency Polygon with the Help of Class Marks 5. Cumulative-Frequency Curve 6. Problems on Histogram 7. Problems on Frequency Polygon 8. Problems on Cumulative-Frequency Curve
Measures of Central Tendency
1. Mean of Ungrouped Data 2. Problems on Mean of Ungrouped Data 3. Mean of Grouped Data 4. Mean of Classified Data 5. Step-deviation Method 6. Finding the Mean from Graphical Representation 7. Worksheet on Finding the Mean of Raw Data 8. Worksheet on Finding the Mean of Arrayed Data 9. Worksheet on Finding the Mean of Arrayed Data 10. Median of Raw Data 11. Problems on Median of Raw Data 12. Finding the Median of Grouped Data 13. Lower Quartile and the Method of Finding it for Raw Data 14. Up...
Probability
1. Probability 2. Definition of Probability 3. Random Experiments 4. Experimental Probability 5. Events in Probability 6. Empirical Probability 7. Coin Toss Probability 8. Probability of Tossing Two Coins 9. Probability of Tossing Three Coins 10. Complimentary Events 11. Mutually Exclusive Events 12. Mutually Non-Exclusive Events 13. Conditional Probability 14. Theoretical Probability 15. Odds and Probability 16. Playing Cards Probability 17. Probability and Playing Cards 18. Probability Roll...
Aug 8, 2016 · Objectives: After the learners have gone through the lessons contained in this module, they are expected to: 1. generate and describe patterns using symbols and mathematical expressions; 2. find the next few terms and the nth term of the given sequence; 3. define and describe an arithmetic sequence; 4. enumerate the next few terms and the nth term of an arithmetic sequence; 5. insert means ...
1. The teacher provides an explanation or example/description of the word or phrase in simple terms. The Junior Illustrated Dictionary provides some support. Note the definitions used here are less formal than Maths Terms and Tables 2. Students restate the description in their own words. Students using the words and describe them Word List My ...
