IB Mathematics SL Year 1 - Course Standards
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5.1Radians, Arclengths, SectorsI can convert angle measures in radians to angle measures in degrees. In a circle, I can relate angles, arclengths, and areas of sectors.
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5.2Trigonometric FunctionsI can find the values of the sine, cosine and tangent functions for angles on the unit circle given in radians and degrees. I can state the domain, range, period, and amplitude of these functions where appropriate.
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5.3Graphs of Trigonometric FunctionsI can sketch graphs of the sine, cosine, and tangent functions. I can graph transformations of these functions of the form f(x) = A sin (b(x + c)) + d.
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5.4
Modeling with Trigonometric Functions
I can use trigonometric functions to model periodic situations. I can use a given trigonometric model to evaluate period, frequency, and amplitude for a real-world object.
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5.5Solving Trigonometric EquationsI can solve equations containing trigonometric functions over a finite interval using graphical and algebraic methods. I can identify angles at which a trigonometric function has a given value.
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6.1Trigonometric IdentitiesI can apply Pythagorean and double angle identities to evaluate trigonometric functions. I can rewrite expressions using these identities.
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6.2Cosine Rule for TrianglesI can apply the cosine rule to determine unknown lengths of sides or angles in a triangle.
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6.3Sine Rule for TrianglesI can apply the sine rule to determine unknown lengths of sides in a triangle. I can identify situations in which the law of sines yields two possible triangles.
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6.4Modeling with TrianglesI can determine the area of triangles using trigonometry. I can solve triangles completely. I can apply triangle rules and trigonometry to solve modeling problems.
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7.1Vector Addition and PropertiesI can define a vector graphically and algebraically. I can solve problems involving the addition/subtraction of 2D and 3D vectors graphically and algebraically. I can determine the magnitude of a vector using its components.
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7.2Scalar ProductI can calculate the scalar product for a given set of vectors in 2D and 3D. I can use the scalar product to describe the relationship of vectors to each other. I can identify the meaning of the scalar product and apply it to geometric situations.
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7.3Vector Equations of LinesI can use vectors to describe different lines, intersections, and whether they are parallel/perpendicular. I can use both unit vector and parametric forms to define lines using vectors.
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7.4Modeling with VectorsI can apply vector concepts to solve kinematics problems in two dimensions. I can identify speed and displacement from vector descriptions of the movement of objects.
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8.1Mean, median, Grouped DataI can calculate or make estimates for the values of mean, median, and mode from raw or grouped data sets. I can solve algebraic problems involving mean, median, and mode. I can describe how these quantities change with transformations of the data set.
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8.2Variance & Standard DeviationI can calculate the variance and standard deviation for a set of data using technology. I can describe the meaning of differences in standard deviation for different data sets. I can describe changes to the standard deviation and variance under transformations of a data set.
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8.3
Box Plots, Percentiles, Cumulative Frequency
I can describe and calculate quartiles and percentiles for a set of data or infer them from a box and whisker plot. I can construct and interpret cumulative frequency graphs.
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8.4Linear RegressionI can use technology to obtain the regression equation that relates x-values to y-values. I can comment on the correlation coefficient as a measure of the strength of a correlation. I can use regression equations for finding interpolated values. I can identify situations in which the use of a regression is appropriate.
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Semester 2
Semester 1