Level 4 Content

Book 1
– a special study of right triangles
– similar triangles
– trigonometry
– comparison of height to base
– draw similar triangles
– circles on cartesian plane
– Cartesian plane (quadrants, horizontal and vertical movement, point)
– compare circumference to diameter
– polygons (octagon, hexagon, pentagon, heptagon, nonagon, vertex, radius, apothem, central angle)
Book 2
– compare and draw right angle similar triangles (reduced or magnified)
– circumference ÷ diameter = π
– measure a distance on the circumference
– ordered pairs (right left and up down)
– circumscribe and inscribe
Book 3
– magnify
– another way to write 1
– a point on the circumference of a circle can designate a right angle triangle
– a point in the Cartesian coordinate plane can identify a right angle triangle
– horizontal x and vertical y
– regular polygon composed of isosceles triangles
– reshaping isosceles triangles into a rectangle
– area of regular triangle
– area of polygon
Book 4
– slope
– a right angle triangle can be designated with a point on a circumference of a circle
– the point can be designated by stating a distance around the circumference
Book 5
– Pythagorean theorem
– given the distance of the base to and height of a right triangle, find the distance of the hypotenuse
– the unit of measurement used to locate a point on a circumference could be a radius
– bent radii and circumference
– show the right angle triangle designated by a point on the circumference designated by radians
– a circle is a regular polygon with infinite sides
– area of a circle = πr²
– the relationship of the diameter and the circumference
Book 6
– unit circle on Cartesian plane, points, and ordered pairs
– radians and corresponding angles
– slope
– magnification
– applying Pythagorean theorem
– magnifying an arithmetic comparison
Book 7
– magnifying an arithmetic comparison
– Unit Circle (radius one unit long)
– legs and hypotenuse
– points on circumference (ordered pairs) and right angle triangles
– expressing one side of a right angle triangle in terms of another
– identifying angles and radians
– finding sides of right angle triangles
Book 8
– identity angle (Ida)
– sine (sin)
– cosine (cos)
– rewrite decimals as fractions with denominators that are multiples of ten
– slope (rise over run)
– comparison of two decimals
– magnifying an arithmetic comparison
Book 9
– express decimal comparisons with whole numbers
– expressing numbers in different terms
– the magnified comparison
– solve right angle triangles (relate to the Unit Circle)
– sine (sin)
– cosine (cos)
– tangent (tan)
– magnify similar smaller triangle in the Unit Circle
Book 10
– sine (sin)
– cosine (cos)
– tangent (tan)
– slope (rise over run and solving proportions)
– use Trigonometry (trig) solve right angle triangles (label the triangle)