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Mathematics, Grade 6

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Study Guide Formulas Mathematics, Grade 6

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EVALUATE FORMULAS FOR GIVEN INPUT VALUES IN ORDER TO CALCULATE CIRCUMFERENCE, AREA, VOLUME, DISTANCE, AND TEMPERATURE What Is Evaluating Formulas for Given Input Values? • There are a variety of formulas for calculating measurements, for instance, the formula for calculating the area of a rectangle is length times width or A = l x w. • The formulas contain places for inputting numbers o The circumference of a circle → C = п x d o The area of a rectangle → A = l x w o The volume of a rectangle → V = l x w x h • Evaluating a formula requires inputting the correct data and performing the operations. How to evaluate formulas in order to calculate circumference, area, volume, distance, and temperature: • Begin by choosing the formula: o Circumference of a circle → п x D ( п = 3.14) o Area of a rectangle → l x w o Area of a triangle → ½ b x h o Volume of rectangular solid → l x w x h © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

• Input the values and perform the operation o Circumference of a circle → п*D (п = 3.14 and D = 8 in) • C = 3.14 x 8 = 25.12 in o Area of a rectangle → l x w ( l = 4 in and w = 7 in) • A = 4 x 7 = 28 sq. in o Area of a triangle → ½ b x h ( b = 6 inches and h = 12 in) • A = ½ (6 x 12) = 36 o Volume of rectangular solid → l x w x h (l = 2cm, w = 6cm, h = 4cm) • V = 2 x 6 x 4 = 48 cubic cm • Temperature can be measured in either Fahrenheit or Celsius. A thermometer may be marked according to the Fahrenheit scale or the Celsius scale. Some are marked with both. The degrees on a thermometer are marked with lines which are used to determine the temperature. There are 4 lines between each degree. Each space equals 2 degrees. o Water freezes at 32o F and boils at 212o o Water freezes at 0o C and boils at 100o • Distances can be measured in standard measure: inches, feet, yards, miles or in metric measure: millimeters, centimeters, meters, kilometers o 12 in = 1 foot o 3 ft = 1 yd o 5280 ft = 1 mile o 1000 mm = 1m o 100 cm = 1m o 100 m = 1km • The formulas for measuring are used correctly by inputting the known values and completing the operations. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.

Try This! What is the circumference of a circle with a diameter of 23? _______________________ What is the area of a rectangle with a length of 12 and a width of 9? _______________________ What is the volume of a rectangular solid which measures 4cm by 8cm by 12cm? ____________ Would water freeze if the temperature was 45o F? _______________________ Would water freeze if the temperature was 32o C? _______________________ Which is longer a line 600cm or a line 2m? _______________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.