* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download The Learning Strands, Standards and Indicators Subject
Survey
Document related concepts
Large numbers wikipedia , lookup
Infinitesimal wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Non-standard analysis wikipedia , lookup
Real number wikipedia , lookup
Hyperreal number wikipedia , lookup
History of trigonometry wikipedia , lookup
Function (mathematics) wikipedia , lookup
History of the function concept wikipedia , lookup
History of algebra wikipedia , lookup
Function of several real variables wikipedia , lookup
Non-standard calculus wikipedia , lookup
Elementary mathematics wikipedia , lookup
Transcript
Saint Gabriel’s Foundation Bangkok, Thailand The Learning Strands, Standards and Indicators Subject: Mathematics Level: Secondary 4 Code: Semester 1 Strand 4: Algebra Sub-Strand: Sets Standard M.4.1: Understanding and ability to analyze pattern, relation and function. Indicators: M.4.2.1. Define sets and its elements; M.4.1.2. Differentiate roster or tabular from set builder form; M.4.1.3. Convert the roster form statements into set builder form statements and viceversa; M.4.1.4. Explain the types of sets; M.4.1.5. Classify whether a set is finite or infinite, empty or not an empty set, equal or not an equal set; M.4.1.6. Define subsets and power sets; M.4.1.7. List down all the subsets and power set of the given set; M.4.1.8. State the important points of Power Set; M.4.1.9. Express the concept of universal set. Standard M.4.2: Ability to apply algebraic expressions, equations, inequalities, graphs and other mathematical models to represent various situations, as well as I interpretation and application for problem-solving. Indicators: M.4.2.1. Demonstrate the different representation of Venn-Euler Diagram; M.4.2.2. Draw and shade the Venn-Euler diagram for the given sets; M.4.2.3. Explain the properties of Union, intersection, complement and difference of sets; M.4.2.4. Find the elements of union, intersection, complement and difference of sets; M.4.2.5. Solve word problems involving the operation of sets; M.4.2.6. Construct a concept map about sets; M.4.2.7. Relate the importance of the concept of sets in our daily lives. Strand 4: Algebra Sub-Strand: Reasoning Standard M.4.1: Understanding and ability to analyze pattern, relation and function. Indicators: M.4.1.1. Differentiate inductive from deductive reasoning; M.4.1.2. Identify whether a given statement is inductive or deductive reasoning; M.4.1.3. Solve word problems involving inductive and deductive reasoning; M.4.1.4. Classify the relationships of groups by using the Venn-Euler diagram. Standard M.4.2: Ability to apply algebraic expressions, equations, inequalities, graphs and other mathematical models to represent various situations, as well as I interpretation and application for problem-solving. Indicators: M.4.2.1. Examine the validity of evidences by using the Venn-Euler diagram; M.4.2.2. Prove the validity of evidences by applying Venn-Euler diagrams; M.4.2.3. Relate the importance of the concept of reasoning in our daily lives. Strand 1: Algebra Sub-Strand: Real Numbers Standard M.1.1: Understanding diverse methods of presenting numbers and their applications in real life. Indicators: M.1.1.1. Express the concept of Real Numbers; M.1.1.2. Explain the concept of absolute value and its properties. Standard M.1.4: Understanding of numerical system and application of numerical properties. Indicators: M.1.4.1. Explain the concept of properties of real numbers; M.1.4.2. Classify numbers according to its group; M.1.4.3. Determine the property used in a given statement; M.1.4.4. Express the concept of inequalities; M.1.4.5. Explain the properties of equalities and inequalities of real numbers; M.1.4.6. Construct the table which contains the types of intervals of real numbers; M.1.4.7. Change the interval set into the number line and vice-versa. Standard M.4.2: Ability to apply algebraic expressions, equations, inequalities, graphs and other mathematical models to represent various situations, as well as I interpretation and application for problem-solving. Indicators: M.4.2.1. Construct a diagram for real numbers; M.4.2.2. Solve quadratic equations by using factoring, square root property, completing square and quadratic formula; M.4.2.3. Solve word problems involving quadratic equations; M.4.2.4. Solve and graph the solutions of one-variable equations and inequalities in which the degree is not more than two; M.4.2.5. Solve and graph the solutions of inequalities and equalities involving absolute value; M.4.2.6. Solve word problems involving real numbers, equations and inequalities; M.4.2.7. Relate the importance real numbers in our daily living. Strand 1: Numbers and Operations Sub-Strand: Exponents Standard M.1.1: Understanding diverse methods of presenting numbers and their applications in real life. Indicators: M.1.1.1. Express the concept and properties of exponents; M.1.1.2. Express the concept of rational exponents. Standard M.1.2: Understanding the results of operations, relationships of operations and applications of operations for problem-solving. Indicators: M.1.2.1. Find the sum, difference and product involving rational numbers; M.1.2.2. Evaluate radicals and give its simplest form; M.1.2.3. Rationalize the denominators. Standard M.1.3: Use of estimation in calculation and problem-solving. Indicators: M.1.3.1. Simplify the answers with positive indices; M.1.3.2. Arrange the radicals in ascending or descending order; M.1.3.3. Solve exponential equations; M.1.3.4. Solve word problems involving exponents and rational numbers; M.1.3.5. Relate the importance of exponents in constructing bridges and buildings. Standard M.1.4: Understanding of numerical system and application of numerical properties. Indicators: M.1.4.1. Explain the properties of radicals; M.1.4.2. Express the concept of rationalizing operation. Saint Gabriel’s Foundation Bangkok, Thailand The Learning Strands, Standards and Indicators Subject: Mathematics Level: Secondary 4 Code Semester 2 Strand 4: Algebra Sub-Strand: Relations and Functions Standard M.4.1: Understanding and ability to analyze pattern, relation and function. Indicators: M.4.1.1. Define Cartesian product and relations; M.4.1.2. Identify the components of the Cartesian product; M.4.1.3. Find the Cartesian products and relations from the given sets; M.4.1.4. Express the concept of relation, domain and range; M.4.1.5. Differentiate domain from range; M.4.1.6. Find the domain and range from the given set; M.4.1.7. Explain what function is; M.4.1.8. Determine whether a relation is a function or not. M.4.1.9. Write the different notations of function; M.4.1.10. Use the Vertical line test in identifying a function; M.4.1.11. State the domain and range from the given function; M.4.1.12. Determine the slope and x and y-intercept of a linear function; M.4.1.13. Sketch the graph of linear function; M.4.1.14. Explain what quadratic function and absolute value functions are; M.4.1.15. Determine the position of the graph whether it is open upward or open downward; M.4.1.16. Find the turning point, axis, maximum and minimum of a function and its range; M.4.1.17. Sketch the graph of the quadratic and absolute value functions; M.4.1.18. Explain what exponential function is; M.4.1.19. Distinguish whether the function is increasing or decreasing; M.4.1.20. Find the horizontal asymptote, range and y-intercept; M.4.1.21. Graph the exponential function; M.4.1.22. Express the concept of piecewise and step functions; M.4.1.23. Differentiate piecewise from a step function; M.4.1.24. Graph and find the domain and range of piecewise and step functions; M.4.1.25. Relate the concept of piecewise and step function in daily activities; M.4.1.26. Express the concept inverse relation; M.4.1.27. Find the inverse relation of the given set; M.4.1.28. Differentiate equations from inequalities; M.4.1.29. Explain the concept of algebra and composite function; M.4.1.30. Calculate the values of an algebra and composite function. Standard M.4.2: Ability to apply algebraic expressions, equations, inequalities, graphs and other mathematical models to represent various situations, as well as I interpretation and application for problem-solving. Indicators: M.4.2.1. Solve equations and inequalities by using graphs; M.4.2.2. Solve word problems involving relations and functions. Strand 2: Measurement Sub-Strand: Trigonometric Ratios Standard M.2.2: Solving measurement problems. Indicators: M.2.2.1. Express the concept of trigonometric ratios; M.2.2.2. Describe the rotation of the ray from the initial arm to its terminal arm; M.2.2.3. State whether the movement of the rays is clockwise or anti-clockwise; M.2.2.4. Define trigonometric ratios of sine, cosine, and tangent and its inverse; M.2.2.5. Give the value of the trigonometric ratios for common angles; M.4.2.6. Evaluate angles using trigonometric ratios; M.2.2.7. Express the concept angle of elevation and depression; M.2.2.8. Demonstrate the strategies in finding the measure of heights and distances; M.2.2.9. Apply the concept of trigonometric ratios of a right triangle to estimate the distance and height by using Pythagoras Theorem; M.2.2.10. Find the unknown angles of a right-angled triangle by using trigonometric ratios. M.2.2.11. Find the angles of right-angled triangles using co-function of trigonometric ratios; M.2.2.12. Find the distance and height by using sin and cosine laws; M.2.2.13. Use the appropriate measure in solving problems involving elevation and depression and trigonometric ratios; M.2.2.14. Construct a concept map for Trigonometry; M.2.2.15. Relate the importance of trigonometry in our daily lives. Basic Standard of Learning: Semesters Semester 1 Semester 2 Sub-strands Sets Reasoning Real Numbers Exponents Relations and Functions Trigonometric Ratios Standards M.4.1, M.4.2 M.4.1, M. 4.2 M.1.1, M.1.4, M.4.2 M.1.1, M.1.2, M.1.3, M.1.4 M.4.1, M.4.2 M.2.2 References: My Math World - Secondary 4. 1st published 2011. Printed in Hong Kong. Ministry of Education. The Basic Education Core Curriculum (2008).Thailand Noted by: Approved by: ________________________________ __________________________________ Head, Academic Affairs School Director