Discovering Discovering Parallelograms Parallelograms

More documents

Recommendations

Info

$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

6. Construct a line through point C that is parallel to line AB: F3ΨParallel, select point C and line AB, then 7. Construct line AC: F2 ΨLine, select A and C, 8. Construct a line parallel to line AC, through B: F3ΨParallel, select B and AC, 9. Construct a point on the intersection of the two lines that contain point C and point B: F2ΨPointΨIntersection, select the two lines, 10. Label this point of intersection point D: F5Ψalpha-num 11. Construct quadrilateral ABDC: F2Ψquad, select point A , drag to B, , drag to D and drag to C 12
12. Hide the original lines: F5Ψhide/show, select each line and 13. Now look at quadrilateral ABDC. Is it a parallelogram? How can you prove that ABDC is (or that it is not) a parallelogram? List as many properties of a parallelogram as possible. __________________________________________________ __________________________________________________ Day #2: Investigating Properties of <strong>Parallelograms</strong> Investigate the properties of the angles of parallelogram ABDC: 1. Measure each angle of ABDC: F5ΨmeasureΨangle, select three consecutive vertices and each time hit 2. Record your measurements: γ A: ________ γ B:________ γ C:________ γ D:________ 3. Make conjectures about the relationships between angles: Adjacent angles are__________________________. Opposite angles are __________________________. 4. Test your conjectures by selecting a vertex and dragging it, using the hand key (green ALPHA key). Do your conjectures hold true? ________ Will they be true for any parallelogram?______ How do you know this, or how could you prove that this is always true? 5. Measure each side of your parallelogram: F5ΨMeasureΨD.&Length, then drag the measurement tool until each side is activated and hit . Record your lengths below: AB: ____________ 13
Page 1 and 2: Discovering Parallelograms by Mary
Page 3 and 4: G.R.P.9 Apply inductive reasoning i
Page 5 and 6: III. Trapezoids 1. Properties a. ba
Page 7 and 8: POLYGON ACTIVITY I. INTERIOR ANGLES
Page 9 and 10: II. EXTERIOR ANGLES: Triangle ∠6
Page 11: IV. Assignment: pg. 415, problems #
Page 15 and 16: 8. Construct diagonal BC (follow th
Page 17 and 18: • Each student will construct and
Page 19 and 20: #9. Measure and record the length o
Page 21: Day #2: Now that you have construct

Discovering Discovering Parallelograms Parallelograms

Create successful ePaper yourself

Delete template?

Save as template?