## What Will I Learn?

• Creativity
• Critical thinking

Students will explore parallel lines, perpendicular lines, acute angles, and obtuse angles and use this knowledge to design facades for buildings.

### Learning Objectives

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

• CCSS.MATH.CONTENT.4.MD.C.5Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
• CCSS.MATH.CONTENT.4.MD.C.6Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
• CCSS.MATH.CONTENT.4.MD.C.7Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.

### Guiding ideas

Start the lesson by asking students the questions below:
1) What is an angle?
2) How many degrees are in a circle?
3) How can we measure angles?
4) What does it look like when we add or subtract angles?
5) What kind of things can angles help us in the real world?
6) What are the three kinds of angles?

### Student activities

Materials: Graph paper Pencils and erasers Protractor Before entering the world practice sketching and measuring an angle on graph paper with a protractor. Have them sketch a right angle, an obtuse angle, and an acute angle. Once the students feel comfortable with the process have students load the attached Minecraft world file for Measuring Angles and Building Bridges.
1) Sketch and Measure Angles Students will enter the world and work to observe, sketch, and measure six angles.
2) Build and Measure Angles Students will build two angles and measure a partner’s angle.
3) Add and Subtract Angles Students will observe models that show angles being added and subtracted in Minecraft and answer the NPC’s questions about the angles.
4) Design Challenge Students will design and execute a plan to build a bridge that a boat can sail under. The river will be 40 meters long and the bridge must be at least 7 meters high and the student must know at what angles to build their bridge.

### Performance expectations

1) The student was able to stretch Minecraft angles on graph paper and measure them with a protractor.

2) The student was able to add and subtract angles.

3) The student was able to make a design and execute a plan for a bridge that a boat can sail under. The student must be able to determine the angle of their bridge. 4) able to identify right, obtuse, and acute angles. 5) The student was able to achieve a score of 2 or higher when the “You Got It!” score is subtracted from the Not Yet Score for each standard

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