Letter. Activity. Tips. Find Angle Measures. Find the measure of a right angle.
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1 Chapter School-Home Letter Dear Family, Throughout the next few weeks, our math class will be learning about angles and angle measures. We will also learn to use a protractor to measure and draw angles. You can expect to see homework in which students find and compute with angle measures. Here is a sample of how your child will be taught how to relate degrees to fractional parts of a circle. clockwise The direction the clock hands move counterclockwise The direction opposite from the way clock hands move degree (º) A unit for measuring angles protractor A tool for measuring the size of an angle Find Angle Measures Find the measure of a right angle. STEP A right angle turns _ through a circle. Write _ as an equivalent fraction with 60 in the denominator: = STEP 2 Tips Classifying Angles An acute angle measures less than 90º. An obtuse angle measures more than 90º and less than 80º. A straight angle measures 80º. A turn measures º. So, a turn measures 90º. Activity Help your child measure angles in pictures of buildings and bridges and decide whether certain angle measures are more common. Then have your child draw his or her own building or bridge design and label each angle measure. Chapter P87
2 Capítulo Carta para la casa Querida familia, Durante las próximas semanas, en la clase de matemáticas aprenderemos sobre ángulos y medidas de los ángulos. También aprenderemos a usar un transportador y a medir y trazar ángulos. Llevaré a casa tareas en las que tenga que hallar y hacer cálculos con medidas de ángulos. Este es un ejemplo de cómo vamos a relacionar los grados con las partes fraccionarias de un círculo. en el sentido de las manecillas del reloj La dirección en que se mueven las manecillas del reloj en sentido contrario a las manecillas del reloj La dirección opuesta a cómo se mueven las manecillas del reloj grado (º) Una unidad para medir los ángulos transportador Una herramienta para medir el tamaño de un ángulo Hallar medidas de ángulos Halla la medida de un ángulo recto. PASO Un ángulo recto gira _ de un círculo. Escribe _ como una fracción equivalente con 60 en el denominador: _ = Pistas Clasificar ángulos Un ángulo agudo mide menos de 90º. Un ángulo obtuso mide más de 90º y menos de 80º. Un ángulo llano mide 80º. PASO 2 Un giro de mide º. Por lo tanto, un 60 giro de 90 mide 90º. 60 Actividad Ayude a su hijo o hija a medir ángulos en dibujos de edificios y puentes y decidan si ciertas medidas de ángulos son más comunes. Luego pídale que dibuje su propio diseño de edificio o puente y que le ponga nombre a cada medida de ángulo. P88
3 Name Angles and Fractional Parts of a Circle Lesson. COMMON CORE STANDARD.MD.5a Geometric measurement: understand concepts of angle and measure angles. Tell what fraction of the circle the shaded angle represents _ Tell whether the angle on the circle shows a, 2,, or full turn clockwise or counterclockwise Problem Solving 7. Shelley exercised for 5 minutes. Describe the turn the minute hand made. 8. Mark took 0 minutes to finish lunch. Describe the turn the minute hand made Start End Start End 2 Chapter P89
4 Lesson Check (.MD.5a). What fraction of the circle does the shaded angle represent? 2. Describe the turn shown below. TEST PREP Spiral Review (.OA.,.NF.,.NF.c,.NF.7). Write 2 _ and _ as a pair of fractions with a common denominator.. Raymond bought _ of a dozen rolls. How many rolls did he buy? 5. List all the factors of Jonathan rode.05 miles on Friday,.5 miles on Saturday,.25 miles on Monday, and. miles on Tuesday. On which day did he ride the shortest distance? P90
5 Name Degrees Tell the measure of the angle in degrees Lesson.2 COMMON CORE STANDARDS.MD.5a,.MD.5b Geometric measurement: understand concepts of angle and measure angles Classify the angle. Write acute, obtuse, right, or straight Classify the triangle. Write acute, obtuse, or right Problem Solving Ann started reading at :00 p.m. and finished at :20 p.m.. Through what fraction of a circle did the minute hand turn?. How many degrees did the minute hand turn? Start End 2 Chapter P9
6 Lesson Check (.MD.5a,.MD.5b) TEST PREP. What kind of angle is shown? 2. How many degrees are in an angle that turns through _ of a circle? 80 Spiral Review (.OA.,.NF.b,.NF.a,.NF.5). Mae bought 5 football cards and 8 baseball cards. She separated them into equal groups. How many sports cards are in each group?. Each part of a race is mile long. Marsha finished 5 parts of the race. How far did Marsha race? 5. Jeff said his city got inches of snow. Write this fraction as a mixed number. 6. Amy ran _ mile. Write the distance Amy ran as a decimal. P92
7 Name Measure and Draw Angles Lesson. COMMON CORE STANDARD.MD.6 Geometric measurement: understand concepts of angle and measure angles. Use a protractor to find the angle measure.. A 2. M. R B C 20 m/abc = N m/mnp = P S T m/rst = Use a protractor to draw the angle Draw an example of each. Label the angle with its measure. 6. a right angle 7. an acute angle Problem Solving The drawing shows the angles a stair tread makes with a support board along a wall. Use your protractor to measure the angles. 8. What is the measure of /A? 9. What is the measure of /B? B A Chapter P9
8 Lesson Check (.MD.6). What is the measure of /ABC? 2. What is the measure of /XYZ? A Z B C X Y Spiral Review (.NBT.6,.NF.c,.MD.5a,.G.). Derrick earned $,72 during the weeks he had his summer job. If he earned the same amount each week, how much did he earn each week?. Arthur baked 7 dozen muffins. Nina 2 baked dozen muffins. How many dozen 2 muffins did they bake? 5. Trisha drew the figure below. What figure did she draw? 6. Measure and describe the turn shown by the angle. Be sure to tell about the size and direction of the turn. S T P9
9 Name Join and Separate Angles Add to find the measure of the angle. Write an equation to record your work. Lesson. COMMON CORE STANDARD.MD.7 Geometric measurement: understand concepts of angle and measure angles.. A C B D 2. F H 20 G J. K M 0 90 L 5 P N = m/abd = m/fgj = m/kln = Use a protractor to find the measure of each angle in the circle. C. m/abc = 5. m/dbe = 6. m/cbd = 7. m/eba = A B D 8. Write the sum of the angle measures as an equation. E Problem Solving 9. Ned made the design at the right. Use a protractor. Find and write the measure of each of the angles.. Write an equation to find the measure of the total angle. Chapter P95
10 Lesson Check (.MD.7) W Y Z X M 8 2 N P TEST PREP. What is the measure of /WXZ? 2. Write an equation that you can use to find the m/mnq. Q n Spiral Review (.NBT.5,.NF.d,.MD.5a,.MD.5b,.G.2). Joe bought 6 packages of envelopes. Each package contains 25 envelopes. How many envelopes did he buy?. Bill hiked mile on the Lake Trail. Then he hiked 5 mile on the Rock Trail to get back to where he started. How many miles did he hike? 5. Ron drew a quadrilateral with right angles and sides with the same length. What figure did he draw? 6. How many degrees are in an angle that turns through _ of a circle? P96
11 Name Problem Solving Unknown Angle Measures PROBLEM SOLVING Lesson.5 COMMON CORE STANDARD.MD.7 Geometric measurement: understand concepts of angle and measure angles. Solve each problem. Draw a diagram to help.. Wayne is building a birdhouse. He is cutting a board as shown. What is the angle measure of the piece left over? Draw a bar model to represent the problem. x 20 x x + 20 = 80 x = x = An artist is cutting a piece of metal as shown. What is the angle measure of the piece left over? x. Joan has a piece of material for making a costume. She needs to cut it as shown. What is the angle measure of the piece left over? x 0 Chapter P97
12 Lesson Check (.MD.7). Angelo cuts a triangle from a sheet of paper as shown. What is the measure of /x in the triangle? TEST PREP 2. Cindy cuts a piece of wood as shown. What is the angle measure of the piece left over? 75 x 2 x Spiral Review (.OA.,.NF.2,.NF.6,.MD.7). Tyronne worked 2 days last month. He earned $79 each day. How much did Tyronne earn last month?. Meg inline skated for 7 mile. Write this distance as a decimal. 5. Kerry ran _ mile. Sherrie ran _ 2 mile. Marcie ran 2_ mile. List the friends in order from who ran the least distance to who ran the greatest distance. 6. What is the measure of /ABC? A D B C P98
Wednesday. Friday. Thursday. Tuesday. Name: Monday January 18 th No School. Tuesday January 19 th 11.2 (2 Pages)
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