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Unit One: BASIC GEOMETRY |
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I can identify and model points, lines, and planes. |
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I can measure segments. |
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I can find the distance between two points. |
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I can measure and classify angles. |
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I can Identify and name polygons.
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Unit Two: LOGIC AND PROOFS |
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I can make conjectures based on inductive reasoning. |
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I can determine truth values of negations, conjunctions, and disjunctions, and represent them in Venn Diagrams. |
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I can analyze statements in if then form. |
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I can use the Law of Detachments. |
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I can determine necessary and sufficient conditions for a statement to be true. |
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I can use algebra to write two column proofs. |
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I can write proofs involving segment addition. |
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I can write proofs involving supplementary and complementary angles. |
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Unit Three: LINES AND ANGLES |
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I can identify the relationship between two lines or two planes. |
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I can use theorems to determine the relationship between specific pairs of angles. |
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I can use a graphing calculator to investigate slope. |
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I can explore figures on a coordinate plane. |
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I can recognize angle pairs that occur with parallel lines. |
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I can find the distance between a point and a line. |
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I can write the equation of lines in point-slope form. |
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I can write the equation of lines in slope-intercept form. |
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I can write the equation of lines in standard form. |
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Unit Four: CONGRUENT TRIANGLES |
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I can identify and classify triangles by angle measure and side measure. |
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I can Find the relationships among the measures of the interior angles of a triangle |
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I can apply the triangle sum theorems. |
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I can use the SSS and SAS postulate to prove triangles congruent. |
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I can use the AAS and ASA postulates to prove triangles congruent. |
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I can use properties of isosceles triangles and equilateral triangles. |
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I can use a graphing calculator to perform triangle transformations. |
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I can position and label triangles for use in coordinate proofs. |
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Unit Five: POLYGONS AND CIRCLES |
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I can Identify and use parts of circles. |
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I can Identify central angles, major arcs, minor arcs, and semicircles, and find my measures. |
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I can I can recognize and use relationships between arcs and chords. |
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I can Find the measures of inscribed angles. |
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I can use properties of tangents. |
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I can Find the measure of angles formed by lines intersecting on the inside of a circle. |
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I can find the measure of segments that intersect on the interior of a circle. |
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I can write the equation of a circle. |
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I can
find the area of trapazoids. |
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I can
find the area of circles. |
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I can
find the area of regular polygons. |
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I can find perimeters and areas of triangles. |
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I can
find perimeters and areas of parallelograms. |
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I can
find perimeters and areas of rectangles. |
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I can Find and use the sum of the measures of the interior angles of a polygon. |
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I can Recognize and apply the properties the sides and angles of a parallelogram. |
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I can Recognize the conditions that ensure a quadrilateral is a parallelogram. |
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I can Recognize and apply properties of rhombi and squares. I can Determine whether quadrilaterals are rectangles, rhombi, or squares. |
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I can Recognize and apply the properties of trapezoids, including the medians of trapezoids. |
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Unit Six: SIMILAR TRIANGLES |
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I can find the area of similar figures by using scale factors.I can find scale factors given a polygon. |
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I can
identify congruent and similar solids. |
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Unit Seven: TRANSFORMATIONS |
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I can Draw reflections. |
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I can draw translations |
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I can Explore the properties of rotations. |
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I can Explore the effects of performing multiple transformations on a figure. |
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I can identify line and rotational symmetries in two dimensions. |
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I can draw and explore dilations. |
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Unit Eight: TRIGONOMETRY |
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I can find the geometric mean between two numbers. |
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I can use the Pythagorean theorem and its converse. |
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I can use the properties of 45-45-90 triangle. |
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I can use trigonometric ratios using right triangles. |
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I can solve problems involving the angles of depression and elevation. |
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I can use the law of sine to solve triangles. |
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I can find the magnitude and direction of vectors. |
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I can understand navigational measurements. |
Unit Nine: THREE DIMENSIONAL OBJECTS |
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I can identify common 3D shapes |
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I can identify conic sections. |
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I can
draw isometric views of 3D figures. |
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I can find latteral area and surface areas of prisms.I can find latteral area and surface areas of cylinders. |
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I can find latteral area and surface areas of pyramids.I can find latteral area and surface areas of cones. |
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I can
find volumes of prisms. |
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I can
find volumes of pyramids. |
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I can
find surface area of spheres. |
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I can
describe sets of points on a sphere.
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Unit Ten: PROBABILITY AND STATISTICS |
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I can find the probability of independent events. |
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I can use the multiplication counting principle. |
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I can relate arithmetic sequences to linear functions. |
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I can use arithmetic sequences. |
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I can use geometric sequences. |
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I can find the sum of infinite geometric series. |
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I can find theoretical probability. |
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I can find the probability of independent events. |
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I can use the multiplication counting principle. |
video |
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I can relate arithmetic sequences to linear functions. |
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I can use arithmetic sequences. |
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I can use geometric sequences. |
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I can find the sum of infinite geometric series. |
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I can use pascal's triangle to expand the powers of binomials.I can use the binomial theorem to expand powers of binomials. |
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I can classify types of statistical studies. |
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I can use the shapes of distributions to select appropiate statistics. |
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I can construct a probability distribution. |
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I can identify and construct a binomial expoeriment. |
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I can use the empirical rule to analyze normal distributed variables. |
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I can find confidence intervals for normally distributed data. |
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Unit One: BASIC GEOMETRY |
|
I can identify and model points, lines, and planes. |
PRVIDEO |
I can measure segments. |
Video |
I can find the distance between two points. |
Video |
I can measure and classify angles. |
VideoVideo |
Video |
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I can Identify and name polygons.
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Video
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