![]() ![]() Representation which involves visualization and explanation of abstract mathematical ideas are both components of mathematical communication. Meanwhile the secondary mathematics curriculum states that at the end of fourth year, the students are expected to be able to compute and measure accurately arrive at reasonable estimates gather, analyse, and interpret data visualize and explain abstract mathematical ideas present alternative solutions to problems using technology and apply them in real life situations (Bureau of Secondary Education 2002, p.1). ![]() The goal of the elementary mathematics curriculum is for pupils " to demonstrate understanding and skills in computing with considerable speed and accuracy, estimating, communicating, thinking analytically and critically, and in solving problems in daily life using appropriate technology " (Bureau of Elementary Education 2002, p. Effective communication is an important skill needed for lifelong learning (Department of Education 2002, p.8). This is stated in the philosophy of the basic education curriculum that is currently being implemented. CURRICULUM PROVISIONS TO DEVELOP MATHEMATICAL THINKING What do the General and the Mathematics Curricula Provide? Along with critical thinking, creative thinking, problem solving, decision-making, and entrepreneurial/productive skills, effective communication is one of the core life skills that every Filipino student who is competent to learn how to learn should possess. It also presents the different components of mathematical communication and the teaching strategies to develop it including those that address specific teaching and learning practices to be changed for improvement to support this development in Philippine classrooms. To show that the above are congruent triangles.This paper describes the importance that the basic education curriculum places on developing in Filipino students effective communication skills. Step 2: Comparing AAS with ASA is not allowedĪnswer for c): a = f, y = t, z = s is not sufficient Step 1: a, y, z follows AAS (non-included side) Follows the AAS rule.Īnswer for b): a = e, y = s, z = t is sufficient show that theĪnswer for c): x = u, y = t, z = s is not sufficient ![]() Note that you cannotĪnswer for a): a = e, x = u, c = f is not sufficient This is not SAS but ASS which is not one of the rules. Step 2: Beware! x and u are not the included angles. Which of the following conditions would be sufficient for the above triangles to be congruent? Triangle, then the triangles are congruent (Angle-Side-Angle or ASA). Included side of one triangle are congruent to two angles and the included side of another Then the triangles are congruent (Side-Angle-Side or SAS). Then the triangles are congruent (Side-Side-Side or SSS).Īngle of one triangle are congruent to two sides and the included angle of another triangle, If the three sides of one triangle are congruent to the three sides of another triangle, How to determine whether given triangles are congruent, and to name the postulate that is used? We must use the same rule for both the triangles that we are comparing. (This rule may sometimes be referred to as SAA).įor the ASA rule the given side must be included and for AAS rule the side given must not be included. If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent. The Angle-Angle-Side (AAS) Rule states that If two angles and the included side of one triangle are equal to two angles and included side ofĪnother triangle, then the triangles are congruent.Īn included side is the side between the two given angles. The Angle-Side-Angle (ASA) Rule states that Included Angle Non-included angle ASA Rule If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.Īn included angle is the angle formed by the two given sides. The Side-Angle-Side (SAS) rule states that If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. The Side-Side-Side (SSS) rule states that As long as one of the rules is true, it is sufficient to prove that the two triangles are congruent. There is also another rule for right triangles called the Hypotenuse Leg rule. They are called the SSS rule, SAS rule, ASA rule and AAS rule. There are four rules to check for congruent triangles. We can tell whether two triangles are congruent without testing all the sides and all the angles of ![]()
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