Transcript Chapter 7x
7-1: Customary Units of Measurement IWBAT convert one unit of customary measurement to another. Customary Units Length Weight 1 foot (ft) = 12 inches (in) 1 yard (yd) = 36 inches 1 pound (lb) = 16 ounces Capacity 1 cup (c) = 8 fluid ounces (fl oz) 1 pint (pt) = 2 cups 1 yard = 3 feet 1 quart (qt) = 2 pints 1 mile (mi) = 5,280 feet 1 mile = 1,760 yards 1 ton (T) = 2,000 pounds 1 gallon (gal) = 4 quarts Examples 1) 36 ft = ____ yd Going from feet to yards, you divide by 3 36 ÷ 3 12 36 ft = 12 yd 2) 36 ft = _____ in Going from feet to inches, you multiply by 12 36 β 12 432 36 ft = 432 in 3) 20 oz = _______ lb 1 4) 212 qt = _____ pt Going from ounces to pounds, you divide by16 Going from quarts to pints, you multiply by 2 20 16 212 β 2 1 1 4 16 43 2 β 2 1 1 1 4 43 1 20 oz = 1 4 lb 1 212 qt = 43 pt 5) 9 yd 2 ft = _____ in Convert yards to inches, then feet to inches. Add. 1 6) 1 4 π = ____ lb Going from tons to pounds, you multiply by 2000 1 1 β 2000 4 9 π¦π β 36 ππ 324 5 2000 β 4 1 2 ππ‘ β 12 ππ 24 2500 324 + 24 348 9 yd 2 ft = 348 in 1 14 π = 2500 ππ 7-2: Metric Units of Measurement IWBAT convert one unit of metric measurement to another. Metric Units ο Based on powers of 10 ο Use as universal measurement of science ο Rest of the world uses this system Stair Conversion Using the Stairs 1) 1,600 m = ____ km Moves up 3, move decimal to the left three times. 1,600 m = 1.6 km 2) 2.05 m = _____ cm 3) 4 kg = ______ g Moves down 2, move decimal to the right twice. Moves down 3, move decimal to the right three times. 2.05 m = 205 cm 4 kg = 4,000 g Examples 1) 30 kL = ____ L 30 kL = 30,000 L 4) 2,500 mm= ____ m 2) ____ kL = 4,250 L 4.25 kL = 4,250 L 3) ____ dm = 1 m 10 dm = 1 m 2,500 mm = 2.5 m 7-3: Converting Between Measurement Systems IWBAT convert units between the customary and metric systems of measurement. Customary and Metric Unit Equivalents Customary and Metric Unit Equivalents Length Weight and Mass Capacity 1 in = 2.54 cm 1 oz β 28.35 g 1 L β 1.06 qt 1 m β 39.37 in 1 kg β 2.2 lb 1 gal β 3.79 L 1 m β 1.09 yd 1 metric ton (t) β 1.102 tons (T) 1 mi β 1.61 km Converting ο Use proportions in correlation with the conversion chart 7-4: Spatial Reasoning IWBAT use spatial reasoning to solve problems. 7-5: Classifying and Measuring Angles IWBAT draw, measure, and classify angles. Parts of an Angle ο Angles are made up of two rays (sides) and one vertex (corner) ο How wide or narrow an angle is, is its measurement (in degrees) Types of Angles ο ο ο ο ο Right Angle = Exactly 90° Obtuse Angle = Greater than 90°, Less than 180° Acute Angle = Less than 90°, Greater than 0° Straight Angle = Exactly 180° Congruent Angels = Angles that have the same measure Classify the Angle Drawing Angles ο Use 1. 2. Identify the type of angle Use protractor to draw straight lines and to measure degrees. a) 3. a protractor Depending on the type of angle, you will use a specific side of the protractor Draw arrows at the end of your lines so that they are rays Measuring Angles ο Identify ο they type of angle This will determine which side of the protractor to read from ο Line up vertex with the central point of the protractor ο You may have to extend the rays to go beyond the protractor ο Read the degree measurement on the protractor 7-6: Angle Pairs IWBAT find the measure of an unknown angle from its relationship to other angles Types of Angle Pairs Vertical Angles β Angles that share a vertex, but have no sides in common. They are congruent. Adjacent Angles β Two angles that share a common side and vertex. Supplementary Angles β Two angles with the sum of 180° Complementary Angles β Two angles with the sum of 90° Finding angle measures using angle relationships ο Choose the right relationship that will work with the angle measure youβre looking for. ο ο ο Vertical angles Straight lines Corners 7-7: Triangles IWBAT classify and draw triangles, and find missing angles in triangles. Triangles Classification Triangles Classification Finding Missing Angles ο All triangles have a total of 180° ο If you are missing an angle, find the sum of the given angles and subtract from 180° Drawing Angles ο Use your protractor! ο Use a ruler! 7-8: Quadrilaterals IWBAT classify and find the missing angles of quadrilaterals. Types of Quadrilaterals Finding Missing Angles ο All quadrilaterals have a total of 360° ο Find the sum of the given angles and subtract it from 360° 7-9: Make a Table IWBAT make a table to solve a problem. 7-10: Transformations IWBAT identify translations, rotations, and reflections of two-dimensional figures. Translation, Rotation, and Reflection Translation (slide) Rotation (Turn) Reflection (mirror) Line Symmetry 7-11: Using Time Zones IWBAT use logical reasoning to solve problems involving time zones. US Time Zones