Build It Think About It 1. Pick out the shortest and longest Rods. Lay the two Rods next 1. What is the relationship of the small to the long Rod? to each other. 2. Estimate and write down how many short Rods, end to end, are approximately the length of one long Rod. Then do the actual measuring. Write down this answer and compare. 4. Measure the length of three objects, first using the short Rod and then the long Rod. Record the length of each object in Rod units, e.g. my foot = ___ short (color) Rod units and ___ long (color) Rod units. 5. Use a ruler to measure the actual Rod lengths. Round up to the nearest centimeter unit. Using these measurements, find the length of each object in centimeters. Primer Math Set: Activity Card 12a Activity Card is produced in B&W ©1998 K’NEX Industries, Inc. Hatfield, PA 19440-0700 K’NEX 76208 25 2. When measured with the short or long Rods, did the actual size of the object change? Did its size change when measured with a ruler? What did change? 3. Describe a situation where you might need to measure something without a ruler. What could you use to measure the object? How would you measure using this object? Why is it satisfactory to do this? 4. Since it’s possible to measure something without a ruler, why do we need rulers at all? Describe some problems that measuring without standard units (like on a ruler) can cause? Measurement Activity Measuring with Non-standard Units 1 20 Build It Think About It 1. Build a square. 1. Write a definition for perimeter. 2. Write down how many Rods and Connectors make up the 2. What do you notice about the length and width of your length and width of your square. 3. Use a ruler to measure the approximate length of your square, rounding up to the nearest centimeter. Write it down. L=__. Repeat this for the square width, W=__. 4. Find the perimeter of your square. 5. Now build a rectangle (non-square). Repeat steps #2-4 for your rectangle. square in terms of Rods? What does this tell you? 3. Use multiplication to find the perimeter of your square. Write the formula to find the perimeter of a square. 4. What do you notice about the length and width of your rectangle? Use multiplication to find the perimeter of your rectangle. Write down this formula. 5. List two examples of why it’s important to know something’s perimeter. Primer Math Set: Activity Card 12b Activity Card is produced in B&W ©1998 K’NEX Industries, Inc. Hatfield, PA 19440-0700 K’NEX 76208 Measurement Activity Perimeters 2 Measuring Length & Width Measuring with Non-standard Units 25 2 Perimeters 20 Measuring with Non-standard Units Vocabulary Objectives Unit: an amount or quantity used as a standard of measurement ☛ To practice estimating, rounding and measuring skills ☛ To recognize the importance of measurement Estimate: to find an answer which is close to the exact answer Centimeter: a unit of length in the metric system; 100th of a meter ☛ To understand the relationship of things based on size Round(ing): find(ing) the nearest larger or smaller number based on specific criteria ☛ To use problem-solving and comparative thinking skills Approximate: to give an answer which is close to the correct answer ☛ To transfer the knowledge and understanding of measurement from a simple tool to a ruler in standard units Ratio: the relation in number, degree or quantity between things Tips & Troubleshooting 1. It is important to note that K’NEX Rods are unconventional sizes. Consequently, Rod ratios are not always proportional. Students may need to round object measurements to the nearest Rod length. 2. Since K’NEX Rods tend to be non-standard lengths, students will need to measure to the nearest centimeter. Take It Farther 1. Have students measure units and round the lengths to the nearest cm or 1/2 cm. 2. Students work in pairs. One person designs and builds an object out of K’NEX. He/she then chooses a K’NEX Rod and measures the object’s longest side with it and tells that information to the partner. The partner must determine, using estimating skills, which Rod was used as the standard for measurement. Partners then switch roles. 30 Primer Math Set: Educator Guide ©1998 K’NEX Industries, Inc. Hatfield, PA 19440-0700 K’NEX 76208 Measurement 1 1 Take It Farther Perimeters 1. Build an assortment of different shapes. Put them in size order and find their perimeters. Compare the size ordering with the actual perimeter measurements. Discuss the process and results. Objectives ☛ To understand the concept of perimeter ☛ To practice math skills including measurement, addition and multiplication ☛ To infer the need for determining perimeter s 2. Combine Rods to lengthen sides of different figures and estimate the value of the larger perimeters. Do the actual measurement and calculation, then compare. ☛ To use logic and problem-solving to find math formulas which define perimeters 3. Ask students to investigate patterns in perimeter measurement results which correlate to Rod length. Tips & Troubleshooting 4. Build five different shapes. Find and record the perimeters of each. Add up all five perimeters. Then connect these five figures into one large closed figure and find its perimeter. Compare this with the sum total of the five individual perimeters. Discuss and explain the results. 1. Perimeter is the length of each side of a shape added together. Have the class determine the perimeter of the classroom floor plan (represented by the K’NEX square) in terms of Rods. For example, if each side is a Red Rod, then the perimeter would be equal to four Red Rods. 2. Encourage students to identify how they can use math in the problem-solving process since the figure is a square—by addition, side A + B + C + D; and then multiplication, since all sides are the same, 4 x side. 3. Once students understand perimeter, move on to actually measuring the Rods or the length of the K’NEX classroom. NOTE: make sure they are taking true perimeter measurements. This could be complicated by use of Connectors other than red which do not create a flat, clear corner. 4. It is important to note that K’NEX Rods are unconventional sizes. Consequently, measurements may need to be rounded to simplify the learning process. We suggest rounding up to the nearest centimeter. 5. Once the rectangular shape is built, reinforce the perimeter concept again. Lead them to identify that there are two pair of sides of equal length. Encourage them to explore ways to use math and the paired sides to find the perimeter and different perimeter formulas. 31 Primer Math Set: Educator Guide ©1998 K’NEX Industries, Inc. Hatfield, PA 19440-0700 K’NEX 76208 Vocabulary Square: a plane figure with four equal sides and four equal angles Multiplication: adding a number (factor) to itself any given number of times to determine the total (product) Perimeter: the distance around a closed figure Rectangular: having the traits of a rectangle Formula: a group of symbols or figures joined to express a single rule or idea; a numeric expression for resolving math problems Round(ing): find(ing) the nearest larger or smaller number based on specific criteria Centimeter: a unit of length in the metric system; 100th of a meter Rectangle: a plane figure with four sides and four equal angles; opposite sides are the same length Approximate: to give an answer which is close to the correct answer Measurement 2
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