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* Incorporate Tonya's feedback * Add activity before 1.7.7 for scaffolding * Fix graph * Try to add number line * Should work but doesn't * Add other two numberline tasks * Missing <p> tag * Draw number lines manually
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,75 @@ | ||
| # Library of helpful functions | ||
| class TBILPrecal: | ||
| @staticmethod | ||
| def numberline_plot(center=0, radius=10): | ||
| P = arrow((center-radius,0),(center+radius,0),color="black", width=1, arrowsize=1, aspect_ratio=1,head=2) | ||
| for i in range(center-radius+1,center+radius): | ||
| P += line([(i,-0.2),(i,0.2)],color="black") | ||
| P += text(f"${i}$", (i,-0.6),color="black") | ||
| return P | ||
|
|
||
| @staticmethod | ||
| def inequality_plot( | ||
| start=None, | ||
| strict_start=True, | ||
| end=None, | ||
| strict_end=True, | ||
| label_endpoints=True): | ||
| P = Graphics() | ||
| if start is None: | ||
| P += arrow((end,0),(-10,0),color="#0088ff", width=3, arrowsize=3, aspect_ratio=1) | ||
| if end is None: | ||
| P += arrow((start,0),(10,0),color="#0088ff", width=3, arrowsize=3, aspect_ratio=1) | ||
| if start is not None and end is not None: | ||
| P += line([(start,0),(end,0)],color="#0088ff", thickness=3, aspect_ratio=1) | ||
|
|
||
| if start is not None: | ||
| if label_endpoints: | ||
| P += text(f"${round(start,ndigits=2)}$", (start,0.6), color="black") | ||
| if strict_start: | ||
| P += text("(", (start,0), color="#0088ff", fontsize=18) | ||
| else: | ||
| P += text("[", (start,0), color="#0088ff", fontsize=18) | ||
|
|
||
| if end is not None: | ||
| if label_endpoints: | ||
| P += text(f"${round(end,ndigits=2)}$", (end,0.6), color="black") | ||
| if strict_end: | ||
| P += text(")", (end,0), color="#0088ff", fontsize=18) | ||
| else: | ||
| P += text("]", (end,0), color="#0088ff", fontsize=18) | ||
| return P | ||
|
|
||
| @staticmethod | ||
| def small_rationals(numerators=range(-8,9), | ||
| denominators=[2,3,5], | ||
| dictionary=True, | ||
| length=1): | ||
| '''Generates a list or dictionary of unique rational numbers with small numerators and denominators. | ||
| For a dictionary, keys are the rationals and values are the denominators.''' | ||
| fulldict = {m/n:n for m in numerators for n in denominators if m%n !=0} | ||
| dict= { num:fulldict[num] for num in sample(list(fulldict.keys()),length)} | ||
| if dictionary: | ||
| return dict | ||
| return list(dict.keys()) | ||
|
|
||
| @staticmethod | ||
| def small_irrationals(rational_part=range(-8,9), | ||
| irrational_part=[2,3,5,6,7,8], | ||
| denominators=[i for i in range(-5,6) if i != 0], | ||
| dictionary=True, | ||
| length=1): | ||
| '''Generates a list or dictionary of uniqe irrational numbers of the form (a+sqrt(b))/c. | ||
| For a dictionary, keys are tuples of rationals and their conjugate, and values are the denominators.''' | ||
| fulldict = { ((a+sqrt(b))/c,(a-sqrt(b))/c):c for a in rational_part for b in irrational_part for c in denominators} | ||
| dict= { pair:fulldict[pair] for pair in sample(list(fulldict.keys()),length)} | ||
| if dictionary: | ||
| return dict | ||
| else: | ||
| return list(dict.keys()) | ||
|
|
||
| @staticmethod | ||
| def small_complex(real_part=range(-5,6), | ||
| imaginary_part=[i for i in range(-5,6) if i != 0],length=1): | ||
| '''Generates a list of unique 2-tuples of conjugate pairs of complex (not real) numbers of the form a+bi.''' | ||
| return sample([(a+b*I,a-b*I) for a in real_part for b in imaginary_part],length) |
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