Home Page 

Standards Correlations for Math 900

(Note:  All Standards for 7th Grade Math (Ca. Dept. of Education) are addressed.)

NS = Number Sense

AF = Algebra and Functions

MG = Measurement and Geometry

SDAP = Statistics, Data Analysis, and Probability

MR = Mathematical Reasoning

  Correlations and Assessments by Standards Solutions

901

Chapter 1

Section 1 – Points and Lines [1.0, 3.0]

Section 2 – Line Segments [1.0]

Section 3 – Rays [1.0, 3.0]

 Chapter 2

Section 1 – Planes [1.0]

Section 2 – Lines & Points in Planes [1.0, 3.0]

 Chapter 3

Section 1 – Definition of an Angle [1.0]

Section 2 – Definition of a Degree [1.0]

Section 3 – Measuring the Size of Angles [1.0, 12.0]

 Chapter 4

Section 1 – Anatomy of a Polygon [12.0]

Section 2 – Angle Relationships in Triangles [5.0, 12.0]

Section 3 – Polygon Angles [12.0]

902

Chapter 1

Section 1 – Classifying Angles by Size [12.0]

Section 2 – Classifying Angles by Relation [4.0, 5.0, 12.0, 13.0]

 Chapter 2

Section 1 – Constructing Angles of a Specified Size [12.0, 13.0, 16.0]

Section 2 – Constructing Equal Angles [16.0]

Section 3 – Bisecting an Angle [16.0]

 Chapter 3

Section 1 – Planes and Lines [1.0, 7.0]

Section 2 – Properties of Parallel Lines [1.0, 7.0]

 Chapter 4

Section 1 – Methods of Proving Parallel Lines; Converse Reasoning [1.0, 2.0, 3.0, 4.0, 7.0, 13.0]

Section 2 – Parallel Postulate [1.0]

903

Chapter 1

Section 1 – Properties of Congruence and Equality [1.0, 3.0, 4.0, 5.0]

Section 2 – Logical Arguments [1.0, 2.0, 3.0]

Chapter 2

Section 1 – Basic Instruction for Creating Proofs [1.0, 2.0, 3.0]

Section 2 – Formal Proofs with Supplementary and Complementary Angles [1.0, 2.0, 3.0, 13.0]

 Chapter 3

Section 1 – Formal Proofs with Perpendicular Lines [1.0, 2.0, 3.0, 16.0]

Section 2 – Distance [1.0, 17.0]

904

Chapter 1

Section 1 - Corresponding Parts of Triangles [5.0, 6.0]

Section 2 – Congruent Triangles [5.0, 12.0]

Section 3 – Postulates About Angles and Sides of Congruent Triangles [1.0, 2.0, 4.0, 5.0, 12.0]

 Chapter 2

Section 1 – Overlapping Triangles [5.0]

Section 2 – AAS and Hy-Leg [1.0, 2.0, 4.0, 5.0, 6.0, 12.0, 13.0]

Chapter 3

Section 1 – Proving Segments and Angles to be Congruent [1.0, 2.0, 3.0, 4.0, 5.0, 12.0, 13.0]

Section 2 – Proving Bisectors and Perpendicular Lines with Congruent Triangles [1.0, 2.0, 3.0, 4.0, 5.0, 12.0, 13.0]

 Chapter 4

Section 1 – Areas of Polygons [8.0, 10.0]

905

Chapter 1

Section 1 – Types of Triangles [1.0, 5.0, 12.0]

Section 2 – Auxiliary Lines [1.0, 3.0, 16.0]

Section 3 – Altitude and Median [1.0, 16.0]

 Chapter 2

Section 1 – Base Angles Theorem [1.0, 2.0, 3.0, 4.0, 5.0]

Section 2 – Double Congruence Proofs [1.0, 2.0, 3.0, 4.0, 5.0]

 Chapter 3

Section 1 – Review of Inequalities [1.0, 3.0]

Section 2 – Inequalities [1.0, 2.0, 3.0, 6.0]

Section 3 – Inscribing a Regular Polygon in a Circle [21.0]

906

Chapter 1

Section 1 – Properties of Parallelograms [1.0, 7.0, 13.0]

Section 2 – Diagonals in Parallelograms [1.0, 2.0, 3.0, 5.0, 7.0, 4.0, 5.0, 13.0]

 Chapter 2

Section 1 – Rectangle, Rhombus, and Square [1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 13.0]

Section 2 – Proving that a Quadrilateral is a Parallelogram [1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 13.0]

Section 3 – Parallelogram Properties and Triangles  [1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 13.0]

 Chapter 3

Section 1 – Properties of a Trapezoid [1.0, 7.0, 13.0]

Section 2 – Isosceles Trapezoids  [1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 13.0]

907

Chapter 1

Section 1 – Ratio and Proportions [1.0, 8.0, 10.0, 11.0]

Section 2 – Similar Polygons [1.0, 2.0, 3.0, 4.0, 5.0, 11.0]

 Chapter 2

Section 1 – Right Triangles and Pythagorean Theorem [1.0, 12.0]

Section 2 – Pythagorean Theorem [1.0, 2.0, 14.0, 15.0, 20.0]

 Chapter 3

Section 1 – Right Triangles and Trigonometric Ratios [18.0, 19.0, 20.0]

908

Chapter 1

Section 1 – Circles and Parts of Circles Defined [1.0, 7.0, 21.0]

Section 2 – Congruent Arcs and Chords [1.0, 2.0, 3.0, 4.0, 21.0]

 Chapter 2

Section 1 – Chord Theorems, Secants, and Tangents [1.0, 21.0]

Section 2 – Angle Measurements [1.0, 21.0]

Section 3 – Angles Formed by Tangent Lines [1.0, 2.0, 3.0, 4.0, 21.0]

 Chapter 3

Section 1 – Equidistant Chords and Tangents [1.0, 21.0]

Section 2 – Chord, Tangent, and Secant-Segment Relationships [1.0, 21.0]

909

Chapter 1

Section 1 – Circumference and Arc Lengths [7.0, 8.0]

Section 2 – Areas of a Circle, Sector, and Segment [7.0, 8.0, 10.0]

Section 3 – Angle Relationships of Regular Polygons [7.0, 12.0, 13.0, 21.0]

 Chapter 2

Section 1 – Geometric Solids and Surface Area [8.0, 9.0]

Section 2 – Volume [8.0, 9.0]

Section 3 – Changes in Dimensions [8.0, 9.0, 11.0]

910

Chapter 1

Section 1 – Missing Points on a Coordinate Plane [17.0]

Section 2 – Calculating the Area of Polygons on the Coordinate Grid [8.0, 10.0, 17.0]

Section 3 – Calculating the Area of Irregular Polygons [8.0, 10.0, 17.0

 Chapter 2

Section 1 – Finding the Midpoint and Distance [17.0]

Section 2 – Finding Slope [17.0]

Section 3 – The Equation of a Line and the Equation of a Circle [17.0]

 Chapter 3

Section 1 – Translation (the “Slide”) [22.0]

Section 2 – Reflection (the “Flip”) [22.0]

Section 3 – Rotation (the “Turn”) [22.0]

Section 4 – Coordinate Proofs [17.0, 22.0]

Complete List of California State Content Standards for Geometry with citations for Starline Press Math 900

 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. [901 – chapter 1, chapter 2, chapter 3; 902 – chapter 3, chapter 4; 903 – chapter 1, chapter 2, chapter 3; 904 – Chapter 1 (sec 3), chapter 2 (sec 2), chapter 3; 905 – chapter 1, chapter 2, chapter 3; 906 – chapter 1, chapter 2, chapter 3; 907 – chapter 1, chapter 2; 908 – chapter 1, chapter 2, chapter 3]

2.0 Students write geometric proofs, including proofs by contradiction. [902 – chapter 4 (sec 1); 903 – chapter 1 (sec 2), chapter 2, chapter 3 (sec 1); 904 – chapter 1 (sec 3), chapter 2 (sec 2), chapter 3; 905 – chapter 2, chapter 3 (sec 2); 906 – chapter 1 (sec 2), chapter 2, chapter 3 (sec 2); 907 – chapter 1 (sec 2), chapter 2 (sec 2); 908 – chapter 1 (sec 2), chapter 2 (sec 3)]

 3.0 Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement. [901 – chapter 1 (sec 1, sec 3), chapter 2 (sec 3); 902 – chapter 4 (sec 1); 903 – chapter 1, chapter 2, chapter 3 (sec 1); 904 – chapter 3; 905 – chapter 1 (sec 2), chapter 2, chapter 3 (sec 1, sec 2); 906 – chapter 1 (sec 2), chapter 2, chapter 3 (sec 2); 907 – chapter 1 (sec 2); 908 – chapter 1 (sec 2), chapter 2 (sec 3)]

 4.0 Students prove basic theorems involving congruence and similarity. [902 – chapter 1 (sec 2), chapter 4 (sec 1); 903 – chapter 1 (sec 1); 904 – chapter 1 (sec 4), chapter 2 (sec 4), chapter 3; 905 – chapter 2; 906 – chapter 1 (sec 2), chapter 2, chapter 3 (sec 2); 907 – chapter 1 (sec 2); 908 – chapter 1 (sec 2), chapter 2 (sec 3)]

 5.0 Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. [901 –chapter 4 (sec 2); 902 – chapter 1 (sec 2); 903 – chapter 1 (sec 1); 904 – chapter 1, chapter 2, chapter 3 (sec 1); 905 – chapter 1 (sec 1), chapter 2; 906 – chapter 1 (sec 2); chapter 2, chapter 3 (sec 2); 907 – chapter 1 (sec 2)]

 6.0 Students know and are able to use the triangle inequality theorem. [904 – chapter 1 (sec 1), chapter 2 (sec 2); 905 – chapter 3 (sec 2)]

 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles.  [902 – chapter 3, chapter 4 (sec 1); 906 – chapter 1, chapter 2, chapter 3; 907 – chapter 1 (sec 1); 908 – chapter 1; 909 – chapter 1]

 8.0 Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. [904 – chapter 4; 907 – chapter 1 (sec 1); 909 – chapter 1 (sec 1, sec 2), chapter 2; 910 – chapter 1 (sec 2, sec 3)]

9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders. [909 – chapter 2]

10.0 Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. [904 – chapter 4; 907 – chapter 1 (sec 1)]

11.0 Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. [907 – chapter 1; 909 – chapter 1 (sec 2), 910 – chapter 1 (sec 2, sec 3)]

12.0 Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. [901 – chapter 3 (sec 3), chapter 4; 902 – chapter 1, chapter 2 (sec 1); 904 – chapter 1 (sec 3), chapter 2, chapter 3; 905 – chapter 1 (sec 1); 907 – chapter 2 (sec 1)]

13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. [902 – chapter 1 (sec 1), chapter 4 (sec 1); 903 – chapter 2 (sec 2); 904 ; – chapter 2 (sec 2), chap 3; 906 – chapter 1, chapter 2, chapter 3]

14.0 Students prove the Pythagorean theorem. [907 – chapter 2 (sec 2)]

15.0 Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. [907 – chapter 2 (sec 2)]

16.0 Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. [902 – chapter 2; 903 – chapter 3 (sec 1); 905 – chapter 1 (sec 2, sec 3)]

17.0 Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles. [903 – chapter 3 (sec 2); 910 – chapter 1, chapter 2, chapter 3 (sec 4)]

18.0 Students know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tan(x) = sin(x)/cos(x), (sin(x))² + (cos(x)) ² = 1. [907 – chapter3]

19.0 Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. [907 – chapter 3]

20.0 Students know and are able to use angle and side relationships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles. [907 – chapter 2 (sec 2), chapter 3]

21.0 Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles. [905 – chapter 3 (sec 3); 908 – chapter 1, chapter 2, chapter 3; 909 – chapter 1 (sec 3)]

22.0 Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections. [910 – chapter 3]

Starline Press Curriculum is a character based, individualized, independent learning curriculum used by K-12 schools in grades 3-12.