, *Ability to demonstrate mastery of all skills covered in Toolboxes and Units 1 10 of Integrated 1 Book use a histogram and frequency table make a stem-and-leaf plot find mean, median mode, and range make a box-and-whisker plot find experimental probability find theoretical probability use order of operations simplify algebraic expressions expand products simplify expressions with radicals solve linear equations solve inequalities solve equations with squares and cube roots solve proportions use the zero-product property recognize functions graph equations write equations of lines graph inequalities in two variables find unknown angle measures read diagrams use formulas find sine, cosine and tangent ratios apply Pythagorean Theorem transform figures See Integrated Algebra/ Geometry 1C and 1D Critical Content Outlines HSPE Curriculum August 2007 Page 1 of 7 Douglas County School District
High School Proficiency Examination Preparation Numbers, Number Sense, and Computation *Ability to read, write, add, subtract, multiply, and divide real numbers with: radicals exponents scientific notation calculate and estimate sums, differences, products, quotients, powers and roots using mental math, formulas and algorithms *Ability to compute with rational and irrational numbers to solve problems including: rates recipes unit costs percents *Ability to apply properties and theories of the real number system to everyday situations *Ability to compare and order rational numbers estimate determine the reasonableness of an answer *Ability to translate among: fractions decimals percents HSPE Curriculum August 2007 Page 2 of 7 Douglas County School District
Patterns, Functions, and Algebra use inductive reasoning to find missing term in a pattern generalize basic patterns to the nth term identify patterns describe patterns *Ability to identify, model, describe and evaluate functions *Ability to solve: equations proportions *Ability to use formulas to solve for a variable add polynomials subtract polynomials multiply polynomials factor polynomials use simple quadratic equations with integer roots to solve practical problems *Ability to model functions with: matrices tabular, symbolic and graphic representation *Ability to solve linear equations Measurement *Ability to convert between customary and metric systems August 2007 Page 3 of 7 Douglas County School District
*Ability to select and use measurement tools and formulas to calculate and compare: rates costs distances interest temperatures weight/mass differentiate among the systems of measures differentiate between accuracy, precision, error and tolerance in apply formulas to solve problems identify relationships between changes in area and volume and changes in *Ability to apply ratios and proportions to calculate rates and as a method of indirect measure (mph, unit cost) *Ability to use relationships (proportions) and formulas to determine measurement of unknown: dimensions angles areas volumes Spacial Relationships and Geometry August 2007 Page 4 of 7 Douglas County School District
*Ability to solve problems using: properties of polygons interior angles exterior angles elements of circles (angles, arcs, chords, secants and tangents) *Ability to apply properties of equality and proportionality to solve problems involving congruent or similar shapes *Ability to use coordinate geometry and models to change scale (enlarge and reduce) use coordinate geometry to graph linear equations determine slope of lines determine distance of lines determine midpoint of lines identify parallel and perpendicular liens find solutions to sets of equations use algebra to solve problems determined by geometric relationships *Ability to form generalizations about: parallel lines perpendicular lines bisectors triangles quadrilaterals August 2007 Page 5 of 7 Douglas County School District
*Ability to solve problems using: complementary angles supplementary angles congruent angles vertical angles angles formed by parallel lines angles in polygons apply the Pythagorean Theorem apply the converse of the Pythagorean Theorem apply properties of special right triangles solve problems using right triangle trigonometry *Ability to use deductive reasoning Data Analysis *Ability to organize, display, read, and analyze data using a variety of displays including: box and whisker plots frequency distributions circle graphs *Ability to find: theoretical probability experimental probability odds of an event *Ability to find the number of combinations possible using a variety of counting methods August 2007 Page 6 of 7 Douglas County School District
Mastery Objectives *Ability to use: mean median mode range distribution outliers *Ability to analyze the validity of statistical conclusions Mastery Objecti Students will de Mastery ObjectivMastery Objectives Students will dem *Ability to formulate inferences based on: interpolations extrapolations Models of Variation and Growth *Ability to describe graphs of functions find slope of a line find equation of a line Ability to write equations for inverse variation Ability to: find surface area of spheres find volume of spheres Ability to solve equations with direct variation of powers *Ability to simplify expressions involving: negative exponents fractional exponents Ability to solve exponential equations for: doubling 2.1 2.2 2.3 2.4 2.5 2.6 2.7 August 2007 Page 7 of 7 Douglas County School District