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Chapter 5 Expectations Goals: Key Understandings: Students will understand that… Mathematical terminology and symbols for geometry and measurement are used in precise ways. Transformed figures are still congruent. Congruent figures are the same shape, corresponding sides that are the same measure, and corresponding angles which have the same measure. Essential Questions Why is it important to use precise mathematical vocabulary and symbols? What are the effects of transformations on plane figures? What changes and what remains the same? Why? How do we use symbols to show congruence in diagrams? Students will know… There are different types of angles: acute, obtuse and right. (5.1) ___________________________________ Vertical angles formed by a transversal are congruent. (5.2) and (5.9) Adjacent angles that are supplementary will have a sum of 180 degrees. (5.2) and (5.9) The sum of the interior angles in a triangle is 180 degrees, while the sum of the interior angles in a quadrilateral is 360 degrees. (5.2) and (5.9) __________________________________ The sum of central angles in a circle graph is 360 degrees. (5.3) We can calculate the percentages for each sector through converting fractions to percents. (5.3) Students will be able to… Measure and construct various angles using protractors. (5.1) Estimate measures of angles in the game Angle Tangle. (5.1) Classify angles by size and type. (5.1) ________________________________ Determine angle measures through reasoning related to supplementary and vertical angle relationships, as well as using the sum of interior angle measures for various polygons. (5.2) _____________________________________ Calculate the measures of central angles in a circle graph using a protractor. (5.3) Construct a circle graph using the central angles. (5.3) Chapter 5 Individual sectors’ angles may be determined through multiplying their percents by 360. (5.3) In order to construct central angles in a circle graph, it helps to draw one radius to use as a starting point. (5.3) _________________________________ Various regular polygons have specific defining characteristics. (5.4) and (5.9) __________________________________ There are various types of transformations: reflection, rotation, translation. (5.5) Transformed figures are still congruent. (5.5) ___________________________________ Plot ordered pairs on a coordinate grid. (5.4) Solve problems about polygons on a coordinate grid. (5.4) _______________________________ Practice transformations: reflections; rotations; + translations. (5.5) ___________________________________ Congruent figures are the same shape, corresponding sides that are the same measure, and corresponding angles which have the same measure. (5.6) ___________________________________ Write their own definition of ‘congruent’ then compare / contrast this to what their SRB has as a definition. (5.6) _________________________________ _________________________________ Determine angle measures through reasoning related to supplementary and vertical angle relationships, as well as using the sum of interior angle measures for various polygons. (5.9) _____________________________________ Explore the relationship between angles of a parallelogram. (5.10) Solve problems involving parallelograms. Play 3-D Sort. SRB p 335; MM 476 Chapter 5 Learning Plan Day Section / Objectives Q1 Q2 Q3 Capstone Activity- Performance Task (Project) 12 Chapter Review 13 Chapter Test Homework