Exercise_A stringlengths 8 63 | Exercise_B stringlengths 6 63 | Similarity_avg float64 1 9 | Similarity_raw stringlengths 9 29 | Difficulty_avg float64 1 8.45 | Difficulty_raw stringlengths 9 29 | Prerequisite_avg float64 1.17 8.8 | Prerequisite_raw stringlengths 9 29 |
|---|---|---|---|---|---|---|---|
absolute_value | absolute_value_add_sub | 7.9 | 9_8_7_8_7_7_9_9_7_8 | 7.3 | 6_8_9_7_7_7_9_7_7_6 | 2.9 | 1_2_4_3_3_7_1_2_3_3 |
absolute_value | adding_and_subtracting_negative_numbers | 4.9 | 2_1_2_6_6_3_8_9_7_5 | 5.2 | 6_7_5_5_2_3_5_6_7_6 | 3.1 | 3_1_1_4_6_4_3_3_3_3 |
domain_and_range_0.5 | functions_1 | 7.222222 | 7_6_8_5_7_9_8_7_8 | 3.666667 | 2_3_5_2_6_5_1_3_6 | 5.777778 | 9_5_8_5_7_5_5_4_4 |
domain_and_range_0.5 | linear_equations_3 | 3.444444 | 1_1_3_1_5_8_3_4_5 | 3.555556 | 1_1_9_1_6_3_2_3_6 | 4 | 3_1_3_1_6_7_3_7_5 |
domain_and_range_0.5 | functions_2 | 6.444444 | 7_6_6_4_5_8_8_6_8 | 6 | 4_7_7_9_7_8_3_3_6 | 4.555556 | 7_5_3_3_7_2_3_7_4 |
domain_and_range_0.5 | direct_and_inverse_variation | 2.777778 | 1_2_3_1_4_8_2_2_2 | 4.777778 | 1_6_8_7_6_4_5_3_3 | 3.333333 | 1_1_4_1_3_7_4_6_3 |
area_of_squares_and_rectangles | volume_box | 6 | 7_4_7_6_7_3_9_5 | 7.125 | 7_7_7_8_7_7_7_7 | 3 | 4_3_3_3_3_2_4_2 |
area_of_squares_and_rectangles | perimeter_of_combined_shapes | 5.75 | 5_5_6_6_6_5_9_4 | 5 | 4_8_6_2_5_6_6_3 | 6.5 | 6_7_4_7_8_6_7_7 |
area_of_squares_and_rectangles | area_1 | 8.75 | 9_9_8_9_9_9_9_8 | 4.75 | 3_5_5_5_5_5_5_5 | 8.5 | 9_9_9_9_8_9_7_8 |
area_of_squares_and_rectangles | order_of_operations | 3 | 2_2_1_6_3_1_6_3 | 6.25 | 5_8_7_3_6_9_5_7 | 3.125 | 2_1_1_4_7_1_7_2 |
area_of_squares_and_rectangles | fractions_on_the_number_line_1 | 1.75 | 3_1_1_1_2_1_3_2 | 3.25 | 5_3_3_1_3_4_5_2 | 2.375 | 2_1_1_1_4_1_6_3 |
area_of_squares_and_rectangles | alternate_exterior_angles | 2 | 3_1_1_1_2_1_4_3 | 3.625 | 5_5_6_1_1_5_5_1 | 2.375 | 3_1_1_1_3_1_5_4 |
functions_2 | functions_1 | 7.9 | 6_8_8_8_9_9_9_6_8_8 | 3.3 | 4_4_1_4_3_2_4_5_2_4 | 8.2 | 7_8_8_9_9_9_9_6_8_9 |
functions_2 | linear_equations_2 | 3.5 | 4_7_2_2_1_2_6_3_3_5 | 3.6 | 3_3_1_2_5_1_2_8_7_4 | 4.4 | 7_7_2_2_1_2_8_6_3_6 |
functions_2 | linear_equations_3 | 3.7 | 5_7_2_4_1_2_3_5_4_4 | 3.5 | 6_2_1_4_5_1_2_5_5_4 | 3.6 | 3_7_2_4_1_2_4_4_4_5 |
functions_2 | even_and_odd_functions | 5.2 | 5_6_5_2_4_3_8_5_6_8 | 5.5 | 4_4_6_6_7_8_5_5_7_3 | 5.3 | 7_7_2_3_6_4_8_5_2_9 |
functions_2 | domain_and_range_0.5 | 6.1 | 5_7_6_8_6_5_8_3_6_7 | 3.1 | 4_2_2_3_4_1_2_7_3_3 | 6.6 | 6_7_5_7_6_6_8_7_7_7 |
solid_geometry | addition_1 | 3.111111 | 1_7_2_1_1_1_3_6_6 | 1.333333 | 1_3_2_1_1_1_1_1_1 | 3.333333 | 1_7_8_1_1_1_3_7_1 |
solid_geometry | recognizing_rays_lines_and_line_segments | 2.444444 | 1_5_1_1_2_1_3_7_1 | 2.111111 | 7_2_1_1_1_1_2_3_1 | 3.888889 | 2_6_8_1_1_1_7_6_3 |
solid_geometry | areas_of_kites | 5.444444 | 5_8_5_2_1_4_8_8_8 | 3 | 3_2_5_1_3_2_2_5_4 | 6.111111 | 5_8_9_3_1_5_8_7_9 |
solid_geometry | angles_2 | 2.444444 | 2_1_2_1_2_1_3_6_4 | 4.333333 | 2_8_8_1_4_1_3_6_6 | 2.333333 | 2_2_2_1_1_1_4_4_4 |
solid_geometry | metric_area_unit_comparison | 2.333333 | 2_2_2_1_1_1_2_5_5 | 3.555556 | 4_3_1_3_6_2_4_5_4 | 3.777778 | 2_7_8_1_1_1_4_4_6 |
solid_geometry | shaded_areas | 5.666667 | 3_7_5_5_3_5_8_8_7 | 3.333333 | 2_1_1_3_4_3_4_5_7 | 5.777778 | 3_9_9_5_1_6_8_7_4 |
congruency_postulates | same_side_exterior_angles_2 | 2.5 | 2_1_1_1_2_5_4_4 | 3.5 | 7_1_3_2_2_2_6_5 | 2.25 | 1_1_2_1_2_4_4_3 |
congruency_postulates | congruent_triangles_2 | 5.875 | 5_7_9_4_3_6_6_7 | 4.125 | 3_4_4_2_3_5_6_6 | 4.25 | 3_8_7_3_3_2_4_4 |
congruency_postulates | decimals_on_the_number_line_1 | 1.875 | 1_1_1_1_4_5_1_1 | 2.125 | 1_2_1_1_1_7_1_3 | 1.75 | 1_1_1_1_4_3_2_1 |
congruency_postulates | areas_of_kites | 1.875 | 2_1_1_1_2_3_3_2 | 3.125 | 2_3_3_2_2_6_3_4 | 2.75 | 3_1_3_1_3_5_4_2 |
congruency_postulates | angles_2 | 3.5 | 4_1_7_2_2_4_3_5 | 5.625 | 3_6_7_2_7_5_8_7 | 2.5 | 3_1_3_2_2_5_2_2 |
dividing_fractions | fractions_cut_and_copy_1 | 6.111111 | 4_4_7_2_7_8_8_8_7 | 6 | 9_8_2_8_7_9_1_6_4 | 3.888889 | 1_3_8_1_8_1_4_3_6 |
dividing_fractions | multiplying_fractions_word_problems | 6.444444 | 3_8_5_8_7_5_7_7_8 | 3.555556 | 2_6_4_4_5_2_1_4_4 | 5.444444 | 1_7_4_6_7_8_3_6_7 |
dividing_fractions | multiplying_fractions | 6.444444 | 6_8_6_7_7_2_6_8_8 | 3 | 1_5_3_2_4_2_3_4_3 | 6.777778 | 8_8_6_6_8_8_5_6_6 |
dividing_fractions | dividing_fractions_0.5 | 8.555556 | 9_9_8_9_8_9_9_7_9 | 4.444444 | 4_5_5_5_5_4_3_5_4 | 8.666667 | 9_9_9_9_9_8_9_7_9 |
dividing_fractions | multiplying_fractions_0.5 | 6.777778 | 6_8_6_7_8_4_7_7_8 | 2.666667 | 1_5_3_1_5_2_2_3_2 | 6 | 7_8_6_5_7_8_3_6_4 |
chain_rule_1 | derivative_intuition | 4 | 1_6_6_3_2_7_3 | 4.857143 | 5_5_4_4_8_3_5 | 4.714286 | 1_7_7_4_3_7_4 |
chain_rule_1 | derivatives_1 | 3.714286 | 2_3_6_1_3_7_4 | 4.714286 | 5_8_4_1_8_3_4 | 4.142857 | 1_3_7_1_4_7_6 |
recognizing_conic_sections | parabola_intuition_1 | 3.846154 | 3_1_7_7_4_2_5_1_2_1_3_7_7 | 7.076923 | 7_9_7_4_9_7_6_9_8_8_7_5_6 | 3.769231 | 3_1_3_8_4_4_6_1_2_2_4_6_5 |
recognizing_conic_sections | multiplying_expressions_0.5 | 2.230769 | 2_1_2_1_2_6_4_1_1_1_2_3_3 | 7 | 7_9_3_4_9_7_6_9_9_8_7_7_6 | 2.846154 | 3_1_3_1_6_4_5_1_1_1_4_4_3 |
recognizing_conic_sections | adding_and_subtracting_polynomials | 1.846154 | 3_1_2_1_3_1_4_1_1_1_1_3_2 | 7.384615 | 7_9_7_7_9_7_7_9_8_8_4_8_6 | 2.307692 | 3_1_3_1_3_1_4_1_1_2_4_4_2 |
recognizing_conic_sections | decimals_on_the_number_line_2 | 1.846154 | 4_1_4_1_1_1_5_1_1_1_1_2_1 | 4 | 2_6_2_2_5_2_3_9_7_8_1_4_1 | 2.769231 | 7_1_6_1_1_1_6_2_1_2_3_4_1 |
direct_and_inverse_variation | new_definitions_1 | 4.454545 | 7_7_3_6_1_1_1_6_9_4_4 | 4.818182 | 4_5_7_2_5_6_2_4_3_7_8 | 4.181818 | 7_6_4_7_1_1_1_7_7_3_2 |
direct_and_inverse_variation | linear_equations_2 | 5 | 7_6_7_3_9_1_1_5_9_3_4 | 3.272727 | 2_3_3_2_5_2_1_4_1_7_6 | 5.363636 | 7_6_7_7_9_1_1_5_9_3_4 |
direct_and_inverse_variation | linear_equations_3 | 4.727273 | 7_7_7_3_5_1_1_6_9_4_2 | 3.909091 | 3_6_3_2_9_3_1_5_1_4_6 | 5.090909 | 8_7_7_6_6_1_1_7_9_2_2 |
direct_and_inverse_variation | linear_inequalities | 4.181818 | 8_6_2_4_4_1_1_5_9_3_3 | 4.363636 | 4_6_3_3_5_4_1_6_3_8_5 | 4 | 7_7_4_3_6_1_1_5_6_2_2 |
evaluating_expressions_2 | linear_equations_1 | 6 | 6_6_7_2_9_7_7_3_7 | 3.333333 | 3_6_7_3_1_4_2_1_3 | 5.222222 | 5_3_1_2_9_7_8_5_7 |
evaluating_expressions_2 | adding_decimals_2 | 2.111111 | 2_6_1_2_2_1_2_1_2 | 2.333333 | 1_7_3_1_1_3_1_2_2 | 2.666667 | 2_3_1_1_8_1_1_1_6 |
evaluating_expressions_2 | multiplying_radicals | 1.333333 | 1_3_1_1_1_1_1_1_2 | 5.555556 | 2_6_7_7_9_6_1_7_5 | 1.666667 | 3_3_1_1_1_1_1_1_3 |
evaluating_expressions_2 | adding_and_subtracting_fractions | 2.333333 | 1_6_1_2_1_1_5_1_3 | 3.777778 | 2_4_7_8_1_3_2_4_3 | 3.444444 | 2_7_1_1_8_1_5_1_5 |
evaluating_expressions_2 | evaluating_expressions_1 | 8.333333 | 5_9_7_9_9_9_9_9_9 | 2.555556 | 3_2_3_2_1_5_1_3_3 | 8.444444 | 5_8_9_9_9_9_9_9_9 |
evaluating_expressions_2 | writing_expressions_1 | 5.777778 | 2_7_7_3_8_6_7_5_7 | 3.888889 | 1_3_3_6_1_6_5_6_4 | 6.222222 | 1_7_9_5_9_7_5_7_6 |
evaluating_expressions_2 | division_4 | 1.888889 | 4_4_1_1_1_1_2_1_2 | 4 | 3_3_7_8_1_4_1_7_2 | 2.777778 | 3_7_1_1_8_1_1_1_2 |
mean_median_and_mode | time_units_transformation_2 | 1.3 | 2_2_1_1_1_1_1_1_1_2 | 5.5 | 5_6_3_5_8_7_5_5_5_6 | 3 | 3_4_1_1_8_1_4_1_3_4 |
mean_median_and_mode | exploring_mean_and_median | 5.1 | 4_4_6_2_1_7_8_3_8_8 | 6.4 | 7_6_6_8_9_6_4_6_7_5 | 4.4 | 2_4_3_3_2_7_7_4_4_8 |
mean_median_and_mode | creating_box_and_whisker_plots | 4.8 | 4_3_7_2_2_7_6_3_8_6 | 6.4 | 5_7_7_8_9_6_4_6_5_7 | 4.3 | 5_3_1_3_2_6_7_4_8_4 |
mean_median_and_mode | parabola_intuition_3 | 1.6 | 2_2_1_1_1_1_4_1_1_2 | 8.2 | 8_7_9_9_9_7_6_9_9_9 | 1.6 | 1_2_1_1_1_1_5_1_1_2 |
mean_median_and_mode | order_of_operations | 1.7 | 3_2_1_1_1_1_2_1_3_2 | 6.2 | 6_7_7_7_1_7_6_9_5_7 | 3.3 | 2_2_1_1_8_1_7_1_6_4 |
mean_median_and_mode | multiplying_fractions | 1.8 | 4_2_1_1_1_1_4_1_1_2 | 5.4 | 6_7_6_6_1_6_3_7_6_6 | 2.6 | 2_2_1_1_8_1_4_1_3_3 |
multiplication_0.5 | ratio_discount | 5.666667 | 2_7_9_5_8_6_1_7_6 | 7.888889 | 7_9_8_8_8_7_8_8_8 | 1.888889 | 2_1_1_2_1_1_1_7_1 |
multiplication_0.5 | addition_2 | 2.555556 | 4_5_2_1_1_1_1_4_4 | 4.111111 | 1_5_3_7_1_4_7_4_5 | 5.222222 | 5_6_7_1_9_6_2_6_5 |
multiplication_0.5 | arithmetic_word_problems_1 | 2.333333 | 4_7_1_1_1_1_1_3_2 | 4.555556 | 1_7_1_6_8_4_5_4_5 | 4 | 4_3_6_1_2_6_3_6_5 |
multiplication_0.5 | combining_like_terms_with_two_variables | 3.555556 | 4_6_8_1_2_1_1_7_2 | 8.333333 | 8_9_9_9_9_6_9_7_9 | 1.555556 | 4_1_1_1_1_1_1_2_2 |
multiplication_0.5 | arithmetic_word_problems_2 | 7.111111 | 7_9_7_7_8_6_6_6_8 | 7.222222 | 6_9_7_6_8_7_7_7_8 | 2.777778 | 4_1_1_5_1_1_5_6_1 |
multiplication_0.5 | multiplication_1 | 9 | 9_9_9_9_9_9_9_9_9 | 6 | 5_8_8_5_8_5_5_5_5 | 5.888889 | 8_2_1_9_1_9_9_9_5 |
multiplication_0.5 | representing_numbers | 5.555556 | 5_7_6_2_8_7_2_8_5 | 4.777778 | 6_3_3_6_9_3_6_6_1 | 5.444444 | 4_7_8_3_1_7_3_8_8 |
adding_and_subtracting_radicals | exponents_1 | 2.333333 | 3_4_2_1_2_1_3_1_4 | 2.222222 | 1_3_1_1_1_1_3_5_4 | 3.222222 | 2_7_1_1_3_1_5_5_4 |
adding_and_subtracting_radicals | simplifying_radicals | 7.555556 | 6_8_9_7_6_9_7_9_7 | 3.111111 | 3_2_2_3_2_2_5_5_4 | 7.555556 | 8_8_9_6_6_9_5_9_8 |
adding_and_subtracting_radicals | pythagorean_theorem_1 | 3.555556 | 2_7_1_1_2_5_6_1_7 | 3.777778 | 3_6_8_2_2_6_2_1_4 | 3.111111 | 1_4_1_1_3_3_5_1_9 |
adding_and_subtracting_radicals | square_roots_2 | 5.444444 | 6_7_6_2_7_8_4_2_7 | 4 | 5_3_2_3_4_1_5_9_4 | 5.444444 | 5_7_5_3_2_7_5_8_7 |
adding_and_subtracting_radicals | radical_equations | 6 | 6_7_3_7_4_7_3_9_8 | 7.444444 | 6_7_9_7_7_7_8_9_7 | 4.111111 | 4_3_1_4_2_8_2_9_4 |
telling_time_0.5 | telling_time | 8.5 | 8_8_9_9_9_9_9_8_8_8 | 6 | 5_8_5_5_5_6_7_5_6_8 | 6.1 | 8_4_8_9_9_9_1_8_3_2 |
telling_time_0.5 | representing_numbers | 3.3 | 1_7_3_3_1_1_3_5_6_3 | 4.3 | 5_3_5_5_4_9_1_5_5_1 | 4.3 | 2_7_6_3_1_2_9_6_6_1 |
limits_1 | quadratic_equation | 4.5 | 3_3_3_2_8_5_6_6 | 4 | 2_5_3_9_1_5_4_3 | 4 | 2_2_3_1_9_5_4_6 |
limits_1 | imaginary_unit_powers | 2.125 | 1_2_1_1_1_3_4_4 | 2.875 | 1_5_3_1_1_6_4_2 | 3 | 1_1_1_1_6_6_3_5 |
limits_1 | limits_2 | 7.875 | 8_9_9_8_8_5_8_8 | 5 | 6_5_4_4_8_5_3_5 | 5 | 4_3_8_7_1_5_7_5 |
exploring_mean_and_median | equivalent_fractions | 3 | 2_7_1_7_1_4_1_3_4_1_2 | 2.727273 | 3_5_1_2_3_1_1_2_5_1_6 | 3.636364 | 6_6_1_7_1_6_1_1_4_6_1 |
exploring_mean_and_median | mean_median_and_mode | 6.181818 | 2_6_5_7_8_6_5_6_7_8_8 | 3 | 3_3_1_5_4_1_1_1_8_1_5 | 6.818182 | 7_7_6_7_8_7_2_7_8_9_7 |
exploring_mean_and_median | number_properties_terminology_1 | 2.727273 | 3_5_2_1_1_6_1_2_3_3_3 | 2.636364 | 3_4_1_1_4_4_1_2_2_2_5 | 3.636364 | 6_7_2_1_1_6_1_2_5_7_2 |
exploring_mean_and_median | order_of_operations | 3.090909 | 2_4_2_2_1_4_1_3_5_6_4 | 3.181818 | 2_3_1_1_7_2_4_2_6_1_6 | 3.909091 | 7_7_1_3_1_6_1_3_4_7_3 |
exploring_mean_and_median | divisibility | 2.272727 | 2_3_1_3_1_7_1_3_2_1_1 | 4.181818 | 2_4_3_1_4_4_8_3_5_8_4 | 3.181818 | 6_7_1_2_1_7_1_4_3_2_1 |
slope_of_a_line | identifying_points_2 | 5.7 | 7_6_6_7_3_3_9_3_7_6 | 2.9 | 2_3_1_5_1_4_5_1_3_4 | 5.8 | 8_7_5_6_5_7_8_1_7_4 |
slope_of_a_line | interpreting_linear_equations | 6.2 | 7_6_7_6_6_7_8_2_8_5 | 3 | 2_4_1_5_5_3_1_1_5_3 | 5.8 | 8_6_5_6_6_7_8_1_8_3 |
slope_of_a_line | systems_of_equations_word_problems | 3.3 | 2_5_2_2_3_1_8_1_6_3 | 4.8 | 6_4_6_3_8_7_4_1_7_2 | 3.5 | 2_7_3_7_1_1_8_1_3_2 |
scaling_vectors | adding_vectors | 6.375 | 6_6_5_8_7_6_6_7 | 5.75 | 5_4_8_7_7_5_5_5 | 5.75 | 6_7_2_8_4_4_7_8 |
scaling_vectors | linear_equations_1 | 2.25 | 1_1_2_2_1_5_1_5 | 2 | 1_1_2_3_3_1_1_4 | 2.875 | 2_1_8_3_1_2_1_5 |
scaling_vectors | systems_of_equations_with_elimination_0.5 | 1.5 | 1_1_2_1_1_1_1_4 | 4 | 3_7_1_4_6_2_4_5 | 3.25 | 2_1_8_5_1_4_1_4 |
scaling_vectors | exploring_mean_and_median | 2.25 | 3_1_2_2_1_1_1_7 | 3.875 | 2_8_1_6_4_1_6_3 | 3.25 | 2_1_8_3_1_1_1_9 |
scaling_vectors | division_2.9 | 1.125 | 1_1_2_1_1_1_1_1 | 2.5 | 5_6_1_2_3_1_1_1 | 2.25 | 2_1_8_3_1_1_1_1 |
ordering_fractions | comparing_fractions_1 | 7.75 | 5_5_9_8_9_9_9_8 | 4.25 | 3_4_5_5_4_4_4_5 | 7.5 | 6_7_9_3_9_9_8_9 |
ordering_fractions | comparing_fractions_2 | 8.25 | 6_7_9_8_9_9_9_9 | 3.875 | 1_6_5_5_4_4_2_4 | 8 | 5_6_9_8_9_9_9_9 |
ordering_fractions | ordering_numbers | 7 | 7_4_8_6_8_8_8_7 | 6 | 8_5_5_8_6_5_8_3 | 5.625 | 4_6_9_3_4_9_4_6 |
ordering_fractions | multiplying_polynomials | 1.875 | 1_2_1_2_1_1_6_1 | 7.75 | 9_6_8_8_7_7_9_8 | 1.625 | 1_3_1_2_1_1_3_1 |
ordering_fractions | simplifying_fractions | 5.75 | 4_6_6_6_6_3_8_7 | 2.875 | 2_4_1_7_2_1_3_3 | 5.25 | 4_6_5_3_6_4_8_6 |
ordering_fractions | identifying_points_1 | 2.125 | 2_4_1_3_1_1_4_1 | 3.75 | 3_6_2_3_4_1_4_7 | 3 | 6_4_1_8_1_1_2_1 |
reading_pictographs_2 | reading_pictographs_1 | 8.8 | 9_8_9_9_9_9_9_9_9_8 | 4.2 | 5_2_5_2_4_5_5_4_5_5 | 8 | 8_8_5_9_9_9_9_9_9_5 |
reading_pictographs_2 | supplementary_angles | 1.8 | 4_5_1_1_1_1_1_2_1_1 | 4.5 | 8_8_1_3_4_2_7_3_1_8 | 1.4 | 2_2_1_1_1_1_1_2_1_2 |
reading_pictographs_2 | reading_tables_1 | 5.5 | 7_2_2_4_7_7_6_8_5_7 | 3.1 | 5_1_1_3_3_2_6_3_1_6 | 6.4 | 7_8_5_7_8_5_7_8_5_4 |
reading_pictographs_2 | volume_space | 1.8 | 4_4_1_1_2_1_1_2_1_1 | 7.1 | 8_8_8_5_7_7_7_6_6_9 | 1.6 | 3_2_3_1_1_1_1_2_1_1 |
reading_pictographs_2 | reading_tables_2 | 6.3 | 6_2_6_7_8_6_7_8_5_8 | 4.9 | 7_8_1_3_4_5_7_4_4_6 | 5.4 | 5_2_2_7_7_6_7_9_5_4 |
metric_area_unit_comparison | integers_multiply_decimals2 | 2.666667 | 3_1_1_5_1_5 | 3 | 2_2_3_2_4_5 | 3 | 6_1_1_2_1_7 |
metric_area_unit_comparison | rounding_whole_numbers | 2.5 | 6_1_1_1_1_5 | 2.666667 | 4_3_2_1_3_3 | 2.666667 | 6_1_1_1_1_6 |
metric_area_unit_comparison | metric_area_unit_conversion | 7.5 | 7_7_9_8_5_9 | 4.5 | 2_5_5_3_8_4 | 7.5 | 7_8_9_9_4_8 |
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