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ACT/SAT PRACTICE HOW TO STUDY MATH BECOMING A PRO ATHLETE

Required Legal Stuff:  The links below and the adds on those pages are not under the control of myself, or our web host Teacher By Moonlight. They are offered as an educational courtesy, and we assume no responsiblity for them. The WEB is a live and constantly changing enviroment! So if you find a video link that does not work, has changed, wants a credit card number, or is inappropiate please inform me. My videos starring Professor PI aand Cowboy Rufus are marked PRVIDEO. R. Clark

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.

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

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

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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.

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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.
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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.
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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.
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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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