8.1.2: Station Cards. TIPS4RM: Grade 8: Unit 8 Proportional Reasoning 4
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1 8..: Station Cards Station : Height of Relational Rods to Screen Length. Measure the length of each relational rod to the nearest centimetre. Record these values in the table.. Place the rod on the overhead projector, and measure the length of the rod on the screen. Record your measurement.. Check that you have measurements of all rods. Station : Circumference of a Circle to the Diameter. For each circle, measure the circumference to the nearest centimetre and record it in the table.. Measure the diameter of each of the circles to the nearest centimetre and record the values.. Check that you have measurements of all circles. Station : Length of the Diagonal to the Perimeter of a Rectangle. For each of the rectangles, measure the length of the diagonal shown to the nearest centimetre and record it in the table.. Measure the perimeter of each of the rectangles to the nearest centimetre and record it in the table.. Check that you have measurements of all rectangles. Station : Length of Line Segments Measured in Inches and Millimetres. Measure each line segment in inches. Record the values on the table.. Measure each line segment in millimetres and record the value.. Check that you have measurements for all line segments. Station : Height of a Cylinder to the Circumference of the Base. For each of the cylinders provided, measure the height to the nearest centimetre and record it in the table.. Measure the circumference of the base of each cylinder and record your value to the nearest centimetre.. Check that you have measurements for all cylinders. TIPSRM: Grade 8: Unit 8 Proportional Reasoning
2 8..: Exploring Proportional Relationships. Relationship: Length of Relational Rods to Shadow Length Rod (colour) Length of Rod Length on Screen Length of Rod Length of Screen a) What do you notice about the ratio length length of rod length on screen? b) How does this help you to determine the length of any rod on the screen?. Relationship: Circumference of a Circle to the Diameter (Round to decimal places) Circle Circumference Diameter Circumference Diameter a) What do you notice about the ratio circumference diameter? b) How could this help you to find the circumference of any circle? TIPSRM: Grade 8: Unit 8 Proportional Reasoning
3 8..: Exploring Proportional Relationships. Relationship: Length of the Diagonal to the Perimeter of a Rectangle Rectangle Length of Diagonal Perimeter Diagonal Perimeter a) What do you notice about the ratio diagonal perimeter? b) Explain why your findings make sense. Could this help you determine any diameter if you know the perimeter? Explain.. Relationship: Inches to Millimetres Line Segment Inches Millimetres Inches Millimetres a) What do you notice about the ratios inches millimetres? b) If a line segment were 0 inches in length, how many millimetres would it be?. Relationship: Height of a Cylinder to the Circumference of the Base Cylinder Height Circumference Height Circumference height a) What do you notice about the ratio circumference? b) Explain why your findings make sense. TIPSRM: Grade 8: Unit 8 Proportional Reasoning 6
4 8..: Exploring Proportional Relationships (Teacher) Station Materials: different heights of relational rods. An overhead projector at a fixed position from the screen. Answer: This is proportional relationship. Station Materials: Different size lids or cut-out circles numbered to, with the centres marked. Answer: Circumference of a circle to the diameter of the same circle is a proportional relationship (pi). Station Materials: different rectangles in a variety of shapes numbered to, e.g., long and thin, close to square Answer: The diagonal of a rectangle does not have a proportional relationship with the perimeter of the rectangle. Station Materials: different line segments measured in inches (,,, 7, 9) numbered to. Answer: This is a proportional relationship in which inch =. mm. Note: 0 inches. = 08 mm Station Materials: different cylinders, e.g. coffee can, potato chips, orange juice can, numbered to. Answer: This is not a proportional relationship. TIPSRM: Grade 8: Unit 8 Proportional Reasoning 7
5 8..: Exploring Proportional Relationships (Teacher) (continued) The Frayer Model: Sample Answer TIPSRM: Grade 8: Unit 8 Proportional Reasoning 8
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The year 5 entrance test is based on IGCSE paper type questions, a selection of which can be found below. Answer ALL TWENTY TWO questions. All formulas will be provided. A calculator is required. The entrance