Geometry: An Interactive Journey to Mastery

Introduction to Scale Lesson 24 Topics x The effect of scale on lengths, areas, and volumes. x Changing units. x The role of ...

Lesson 24: Introduction to Scale ([DPSOH Find the ratios area I + area IIarea I and area IIarea I for )LJXUH. 6ROXWLRQ 7K ...

6ROXWLRQ This question, of course, is contrived: You can’t match the materials of a model ship with those of a real ship, for ex ...

Lesson 24: Introduction to Scale 6WXG\7LS x /RRNIRUVFDOLQJZKHQFRPSXWLQJDUHDVDQGYROXPHVRI¿JXUHV,IRQHVKDSHLVMXVW ...

 Two similar cones have volumes 3 and 375. Find the ratio of their D௘ͽ EDVHDUHDV E௘ͽ VXUIDFHDUHDV F௘ͽ KHLJKWV  The ...

Lesson 24: Introduction to Scale  A regular hexagonal cone is divided into two parts by a plane parallel to the base of the c ...

E௘ͽ $VPDOOZRUPKDVOHQJWKFPVXUIDFHDUHDVTXDUHFPDQGYROXPHFXELFFP$ELJZRUPRI basically the same shape as ...

Lesson 25: Playing with Geometric Probability Playing with Geometric Probability Lesson 25 Topics x The theory of geometric pro ...

([DPSOH At a bus stop, a bus arrives every 8 minutes, waits exactly 1 minute, and then leaves. D௘ͽ <RXDUULYHDWWKHVWRS ...

Lesson 25: Playing with Geometric Probability 3LWIDOO x %HFRQ¿GHQWWRIROORZ\RXUZLWV$SUREDELOLW\YDOXHLVXVXDOO\FRPSXWH ...

 An equilateral triangle is inscribed in a circle. A dart is thrown at random and lands in the circle. What is the probabilit ...

Lesson 25: Playing with Geometric Probability A point is chosen at random in a triangle ABC. What is the probability that th ...

Exploring Geometric Constructions Lesson 26 Topics x 6WUDLJKWHGJHDQGFRPSDVVFRQVWUXFWLRQV x Constructible numbers. x Const ...

Lesson 26: Exploring Geometric Constructions ([DPSOH Given that we know how to construct segments of any whole-number length a ...

 Construct an angle bisector for the angle in )LJXUH.  For the triangle in )LJXUH, construct a circle that passe ...

/HVVRQ7KH5HÀHFWLRQ3ULQFLSOH 7KH5HÀHFWLRQ3ULQFLSOH Lesson 27 Topics x 6KRUWHVWSDWKVDQG³WULFNVKRWV ́ x 7KHUHÀHFWL ...

6ROXWLRQ $GLWVKRXOGDLPIRUWKHUHÀHFWLRQRIWKHUHÀHFWLRQRIWKH UHÀHFWLRQRIWKHSRLQWA, as shown in )LJXUH. ͼ௘7KLVR ...

/HVVRQ7KH5HÀHFWLRQ3ULQFLSOH ,QWKLVVHULHVRISUREOHPVDEDOOLVVKRWDWDƒDQJOHIURPWKHWRSOHIWFRUQHURIDQn × ...

 Verify that a ball shot from the top-left corner of a 4 × 5 table lands in the bottom-left corner. Explain why this is the c ...

Lesson 28: Tilings, Platonic Solids, and Theorems Tilings, Platonic Solids, and Theorems Lesson 28 Topics x Platonic solids. x ...