Download The Learning Strands, Standards and Indicators Subject

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:
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Head, Academic Affairs
School Director