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Unit One: BASIC GEOMETRY

 

I can identify and model points, lines, and planes.
I can identify intersecting lines and planes.
I can Use correct mathematical terminology to describe geometric figures.

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I can measure segments.
I can calculate with measures.
I can determine precision of measurements.
I can determine the accuracy of measurements.

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I can find the distance between two points.
I can find the midpoint of a segment.  

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I can measure and classify angles.
I can identify and use congruent and the bisector of an angle.
I can construct perpendiculars.

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I can identify and use special pairs of angles.
I can identify perpendicular lines

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I can Identify and name polygons.
I can find perimeter, circumference, and area of two dimensional figures.  

Area of Triangle
Area of a Parallelogram
Area of a Rhombus and kite
Area of a Trapezoid

 

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Unit Two: LOGIC AND PROOFS

 

I can make conjectures based on inductive reasoning.
I can find counter examples.

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I can determine truth values of negations, conjunctions, and disjunctions, and represent them in Venn Diagrams.
I can find counterexamples.

I can analyze statements in if then form.
I can write converses, inverses, and contrapositives.

I can use the Law of Detachments.
I can use e Law of Syllogism. image

I can determine necessary and sufficient conditions for a statement to be true.
I can identify and use basis postulates about points, lines, and planes.
I can write two column proofs.

I can use algebra to write two column proofs.
I can use properties, of equality to write geometric proofs.

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I can write proofs involving segment addition.
I can write proofs involving congruence.

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I can write proofs involving supplementary and complementary angles.
I can write proofs involving congruent and right angles.

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Unit Three: LINES AND ANGLES

 

I can identify the relationship between two lines or two planes.
I can name angle pairs formed from parallel lines and a transversal.

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I can use theorems to determine the relationship between specific pairs of angles.
I can use algebra to find angle measurements.

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I can use a graphing calculator to investigate slope.
I can find slope of lines.
I can use slope to identify parallel and perpendicular lines.

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I can explore figures on a coordinate plane.
I can write an equation of a line given information about the graph.
I can solve problems by writing equations.

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I can recognize angle pairs that occur with parallel lines.
I can prove that two lines are parallel.

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I can find the distance between a point and a line.
I can find the distance between two parallel lines.

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I can write the equation of lines in point-slope form.
I can determine a slope and a point from point slope-form.

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I can write the equation of lines in slope-intercept form.
I can determine a slope and a point from slope-intercept form.

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I can write the equation of lines in standard form.
I can determine a slope and a point from standard form.

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Unit Four: CONGRUENT TRIANGLES

 

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

I can use the Pythagorian Theorem.

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I can apply the triangle sum theorems.
I can apply the exterior angles theorem.
I can name and use corresponding parts of congruent triangles.
I can prove triangles congruent using the definition of congruence.

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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.
I can explore congruence in right triangles.

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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.
I can identify reflections, translations, and rotations
I can verify congruence after a congruence transformation.

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I can position and label triangles for use in coordinate proofs.
I can write a coordinate proof.

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Unit Five: POLYGONS AND CIRCLES

 

I can Identify and use parts of circles.
I can Solve problems involving the circumference of a circle.

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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.
I can recognize and use relationship between arcs, chords, and diameters.

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I can Find the measures of inscribed angles.
I can Find the measures of angles inscribed in polygons.

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I can use properties of tangents.
I can Solve problems involving circumscribed polygons.
I can construct inscribed circles and circumscribed triangles.

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I can Find the measure of angles formed by lines intersecting on the inside of a circle.
I can Find the measure of angles formed by lines intersecting on the outside of a circle.

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I can find the measure of segments that intersect on the interior of a circle.
I can find the measure of segments that intersect on the exterior of a circle.

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I can write the equation of a circle.
I can graph a circle on the coordinate plane.

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I can find the area of trapazoids.
I can recognize the properties of a trapezoid.

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I can find the area of circles.
I can find the area of circle sectors.

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I can find the area of regular polygons.
| I can find the area of composite figures.

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I can find perimeters and areas of triangles.

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I can find perimeters and areas of parallelograms.
I can recognize the properties of a parallelogram.

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I can find perimeters and areas of rectangles.
I can recognize the properties of a rectangle.

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I can Find and use the sum of the measures of the interior angles of a polygon.
I can Find and use the sum of the measures of the exterior angles of a polygon

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I can Recognize and apply the properties the sides and angles of a parallelogram. 
I can recognize the properties of the diagonals of a parallelogram.

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I can Recognize the conditions that ensure a quadrilateral is a parallelogram.
I can Prove that a set of points form a parallelogram in the coordinate plane.

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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.
I can Recognize and apply the properties of kites.

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Unit Six: SIMILAR TRIANGLES

 

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.
I can use the properties of similar solids.

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Unit Seven: TRANSFORMATIONS

 

I can Draw reflections.
I can Draw reflections in the coordinate plane.

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I can draw translations
I can draw translations in the coordinate plane.

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I can Explore the properties of rotations.
I can draw rotations.
I can draw rotations in the coordinate plane.

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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

 

I can find the geometric mean between two numbers.
I can solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.

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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.
I can use the properties of 30-30-90 triangle.

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I can use trigonometric ratios using right triangles.
I can use trigonometric ratios to find angle measures in right triangles.
Same as above

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I can solve problems involving the angles of depression and elevation.
I can use angles of elevation and depression to find the distance between two points.
Same as above

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I can use the law of sine to solve triangles.
I can use the law of cosine to solve triangles.

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I can find the magnitude and direction of vectors.
I can add and subtract vectors.

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I can understand navigational measurements.

 
 

Unit Nine: THREE DIMENSIONAL OBJECTS

 

I can identify common 3D shapes

 

I can identify conic sections.
I can translate between the geometric description and the equation of a parabola.
I can determine intersections between lines and parabolas.

 

I can draw isometric views of 3D figures.
I can investigate cross sections 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.
I can find volumes of cylinders.

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I can find volumes of pyramids.
I can find volumes of cones.

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I can find surface area of spheres.
I can find the volume of spheres.

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I can describe sets of points on a sphere.
I can compare and contrast Euclidean and spherical geometries.

 

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Unit Ten: PROBABILITY AND STATISTICS

 

I can find the probability of independent events.
I can find the probability of dependent events.

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I can use the multiplication counting principle.
I can find permutations.

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I can find combinations.

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I can relate arithmetic sequences to linear functions.
I can relate geometric sequences to exponential functions.

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I can use arithmetic sequences.
I can find sums of arithmetic series.

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I can use geometric sequences.
I can find sums of geometric series

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I can find the sum of infinite geometric series.
I can write repeating decimals as fractions.

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I can find theoretical probability.
I can find experimental probability.

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I can find the probability of independent events.
I can find the probability of dependent events.

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I can use the multiplication counting principle.
I can find permutations.

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I can find combinations.

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I can relate arithmetic sequences to linear functions.
I can relate geometric sequences to exponential functions.

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I can use arithmetic sequences.
I can find sums of arithmetic series.

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I can use geometric sequences.
I can find sums of geometric series

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I can find the sum of infinite geometric series.
I can write repeating decimals as fractions.

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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.
I can design statistical studies.

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I can use the shapes of distributions to select appropiate statistics.
I can use the shapes of distribution to compare data.

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I can construct a probability distribution.
I can analyze a probability distribution and the summary statistics.

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I can identify and construct a binomial expoeriment.
I can finding probabilities using a binomial distribution.

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I can use the empirical rule to analyze normal distributed variables.
I can apply the standard normal distribution and z-values.

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I can find confidence intervals for normally distributed data.
I can perform hypothesis test on normally distributed data.

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Unit One: BASIC GEOMETRY

 

I can identify and model points, lines, and planes.
I can identify intersecting lines and planes.
I can Use correct mathematical terminology to describe geometric figures.

PRVIDEO
Video
Video

I can measure segments.
I can calculate with measures.
I can determine precision of measurements.
I can determine the accuracy of measurements.

Video
PRVIDEO
Video

I can find the distance between two points.
I can find the midpoint of a segment.  

Video
PRVIDEO
Video

I can measure and classify angles.
I can identify and use congruent and the bisector of an angle.
I can construct perpendiculars.

Video

Video

I can identify and use special pairs of angles.
I can identify perpendicular lines

Video
Video
PRVIDEO
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I can Identify and name polygons.
I can find perimeter, circumference, and area of two dimensional figures.  

Area of Triangle
Area of a Parallelogram
Area of a Rhombus and kite
Area of a Trapezoid

 

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