## EngageNY - Module 4

## Module 4: **Angle Measure and Plane Figures**

This module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures.

**Topic A:**Topic A begins with students drawing points, lines, line segments, and rays, and identifying these in various contexts and familiar figures. As they continue on, students recognize that two rays sharing a common endpoint form an angle. In Lesson 2, students create right angles through a paper folding activity, and identify right angles in their environment by comparison with the right angle they have made. They also draw acute, right, and obtuse angles. This represents their first experience with angle comparison and the idea that one angle’s measure can be greater (obtuse) or less (acute) than that of a right angle.__Lesson 1: Identify and draw points, lines, line segments, rays, and angles and recognize them in various contexts and familiar figures.__**Instruction Guide**

**This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3916**__Lesson 2: Use right angles to determine whether angles are equal to, greater than, or less than right angles. Draw right, obtuse, and acute angles.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3917****Lesson 3:****Identify, define, and draw perpendicular lines.****Instruction Guide****This is the link to see what the teachers use for classroom instruction.**__Lesson 4:____Identify, define, and draw parallel lines.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3918****Topic B:**Students explore the definition of degree measure. Beginning in Lesson 5 with a circular protractor, students divide the circumference of a circle into 360 equal parts, treating each part as representing 1 degree (**4.MD.5**). Students apply this understanding as they discover that a right angle measures 90 degrees and, in turn, that the angles they know as acute measure less than 90 degrees, and obtuse angles measure more than 90 degrees. The idea that an angle measures the amount of “turning” in a particular direction is explored, giving students the opportunity to recognize familiar angles in varied positions (**4.G.1**,**4.MD.5**).__Lesson 5: Use a circular protractor to understand a 1-degree angle as 1/360 of a turn. Explore benchmark angles using the protractor.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ2586, LZ2907, 3638, 3639**__Lesson 6: Use varied protractors to distinguish angle measure from length measurement.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3010**__Lesson 7: Measure and draw angles. Sketch given angle measures and verify with a protractor.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ2973, LZ3101**__Lesson 8: Identify and measure angles as turns and recognize them in various contexts.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Topic C:**Students use concrete examples to discover the additive nature of angle measure.**Lesson 9: Decompose angles using pattern blocks.****Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3270****Lesson 10 & 11: Use the addition of adjacent angle measures to solve problems using a symbol for the unknown angle measure.****Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3253, LZ3254, LZ3402, LZ3403****Topic D**: Two-Dimensional Figures and Symmetry__Lesson 12: Recognize lines of symmetry for given two-dimensional figures; identify line-symmetric figures and draw lines of symmetry.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3214, LZ3096, LZ3215**__Lesson 13: Analyze and classify triangles based on side length, angle measure or both.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3914**__Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.**__Lesson 15: Classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.****Additional Video**:**LearnZillion**Enter the**Quick Code: LZ3911, LZ3912, LZ3913**__Lesson 16: Reason about attributes to construct quadrilaterals on square or triangular grid paper.__**Instruction Guide****This is the link to see what the teachers use for classroom instruction.**