Curriculum Map Secondary I grade level 9 th Subject Math

Transcription

1 Curriculum Map Secondary I grade level 9 th Subject Math Month August Main Concept (General terms) Understanding Quantities and Their Relationships Analyzing and Sorting Graphs Recognizing Algebraic and Graphical Representations Of Functions Standards/Objectives Assessments Vocabulary Resources N.Q.2 F.LE.1.b F.IF.1 F.IF.5 F.IF.9 A.REI.10 F.IF.2 F.IF.7.a Chapter 1 test dependent quantity independent quantity relation domain range function Vertical Line Test discrete graph continuous graph function notation increasing function decreasing function constant function

2 function family linear functions exponential functions absolute minimum absolute maximum quadratic functions linear absolute value functions linear piecewise functions 2

3 September Recognizing Functions by Characteristics Modeling Linear Situations Analyzing Linear Functions Modeling Linear Inequalities Solving and Graphing Compound Inequalities Absolute Value, Equations and Inequalities Understanding Non-Linear Graphs and Inequalities Modeling Data Using Linear Regression F.IF.1 F.IF.4 F.IF.7.a F.IF.9 F.LE.1.b A.CED.2 A.REI.1 A.REI.3 A.REI.10 A.CED.1 N.Q.1 A.SSE.1.a F.IF.2 F.IF.6 A.CED.1 N.Q.3 Chapter 2 Test first differences solution intersection point solve an inequality compound inequality solution of a compound inequality conjunction disjunction opposites absolute value linear absolute A.CED.3 value equation N.Q.2 linear absolute A.CED.3 value F.LE.1.c inequality S.ID.6 equivalent S.ID.7 compound Inequality linear 3

4 regression line of best fit linear regression equation significant digits correlation coefficient October Standard Form of Linear Equations Literal Equations in Standard A.SSE.1.a A.SSE.1.b A.CED.2 Chapter 3 Test 1 st Term Final standard form slope-intercept form End of 1 st Term and Slope-Intercept Form Combining Linear Equations Recognizing Patterns and Sequences Arithmetic and Geometric Sequences Using Formulas to Determine Terms of a Sequence A.CED.3 A.CED.4 A.REI.3 N.Q.2 F.IF.2 A.REI.1 F.LE.1.b F.LE.1.c literal equation sequence term of a sequence infinite sequence finite sequence 4

5 Graphs of Sequences Sequences and Functions F.BF.1.a arithmetic sequence F.BF.2 common F.IF.1 F.IF.4 F.IF.3 F.BF.1 F.LE.1 F.LE.1.a F.LE.5 difference geometric sequence common ratio index explicit formula recursive formula November Comparing Linear and Exponential Functions Graphs of Exponential A.SSE.1.a A.SSE.1.b A.CED.1 Chapter 4 Test Chapter 5 Test simple interest compound interest Functions Translations of Linear and Exponential Functions. Reflections of Linear and Exponential Functions Properties of Rational Exponents Solving Exponential Solving Linear Systems Graphically and Algebraically F.IF.3 F.IF.6 F.IF.7.e F.BF.1.a F.BF.2 F.LE.1.a F.LE.1.b F.LE.1.c F.LE.3 horizontal asymptote basic function transformation vertical translation coordinate notation argument of a function 5

6 F.LE.5 horizontal A.REI.11 translation F.IF.4 F.BF.3 A.REI.10 N.RN.1 N.RN.2 A.REI.3 A.CED.2 N.Q.2 A.REI.5 A.REI.6 reflection line of reflection cube root index nth root radicand rational exponent break-even point system of linear equations substitution method consistent systems inconsistent systems December Using Linear Combinations to Solve a Linear System Solving More Systems Using A.REI.5 A.REI.6 A.REI.10 A.REI.11 Chapter 6 Test Chapter 7 Test linear combinations method half-plane 6

7 Graphing, Substitution, and Linear Combinations Graphing Inequalities Systems of Linear Inequalities Systems with More Than Two Linear Inequalities. Graphically Representing Data A.CED.2 A.REI.12 A.CED.3 S.ID.1 S.ID.3 constraints solution of a system of linear inequalities linear programming dot plot discrete data data symmetric skewed right skewed left box-andwhisker plot five number summary histogram bin frequency continuous data 7

8 January End of 2 nd Term Determining the Best Measure of Center for a Data Set Calculating IQR and Identifying Outliers Calculating and Interpreting Standard Deviation Analyzing and Interpreting Data Least Squares Regression S.ID.1 S.ID.2 S.ID.3 S.ID.6a S.ID.6.c S.ID.7 2 Term Comprehensive Final Chapter 8 Test statistic measure of central tendency interquartile range (IQR) outlier lower fence upper fence standard deviation normal stem-and-leaf plot side-by-side stem-and-leaf plot interpolation extrapolation least squares regression line January Correlation Creating Residual Plots Using Residual Plots S.ID.6a S.ID.6c S.ID.7 residual residual plot causation 8

9 Causation vs. Correlation S.ID.8 necessary S.ID.6.b condition S.ID.6.a sufficient S.ID.9 condition common response confounding variable February Interpreting Frequency Distributions Relative Frequency S.ID.5 F.IF.4 F.IF.5 Chapter 9 Test Chapter 10 Test Chapter 11 Test categorical data two-way frequency table Distribution Relative Frequency Conditional Distribution Drawing Conclusions from Data Every Graph Tells a Story Modeling Data with Curves of Best Fit Modeling Using Exponential Functions Choosing the Best Function to Model Data F.LE.1.b F.IF.7 F.BF.1 F.BF.4 F.LE.1 frequency joint frequency frequency marginal relative frequency relative frequency marginal 9

10 relative frequency conditional March End of 3 rd Term Translating and Constructing Line Segments Midpoints and Bisectors Translating and Constructing Angles and Angle Bisectors Parallel and Perpendicular Lines on the Coordinate Plane Constructing Perpendicular Lines, Parallel Lines, and Polygons Translating, Rotating, and Reflecting Geometric Figures Congruent Triangles SSS Congruence Theorem G.CO.1 G.CO.2 G.CO.4 G.CO.5 G.CO.6 G.CO.12 G.CO.13 G.GPE.7 G.GPE.6 G.GPE.4 G.GPE.5 G.GPE.5 G.CO.7 G.CO.8 3 rd Term Comprehensive Final Chapter 12 Test Distance Formula transformation rigid motion translation image pre-image arc congruent line segments congruent midpoint Midpoint Formula segment bisector angle angle bisector point-slope form 10

11 rotation point of rotation angle of rotation refl ection line of reflection congruent angles corresponding sides corresponding angles theorem postulate Side-Side-Side Congruence Theorem April SAS Congruence Theorem Angle-Side-Angle Congruence Theorem Angle-Angle-Side Congruence Theorem Using Transformations to Determine Perimeter and Area G.CO.6 G.CO.7 G.CO.8 G.CO.12 G.GPE.5 G.GPE.7 G.GPE.4 Chapter 13 Test Chapter 14 Test Side-Angle- Side Congruence Theorem included angle Angle-Side- Angle 11

12 Area and Perimeter of Triangles on the Coordinate Plane Area and Perimeter of Parallelograms on the Coordinate Plane Determining the Perimeter and Area of Trapezoids and Composite Figures Classifying Triangles on the Coordinate Plane Classifying Quadrilaterals on the Coordinate Plane Determining Points on a Circle Circles and Points on the Coordinate Plane frequency Two Methods of Logical Reasoning Understanding Conditional Statements, Arguments, and Truth Tables F.IF.4 F.IF.5 F.IF.7 F.BF.1 F.BF.4 F.LE.1 Congruence Theorem included side Angle-Angle- Side Congruence Theorem non-included side bases of a trapezoid legs of a trapezoid regular polygon composite figure induction deduction conditional statement propositional form propositional variables hypothesis 12

13 conclusion truth value truth table converse inverse contrapositive logically equivalent bi-conditional statement May/June End of 4 th Term Introduction to Direct and Indirect Proof with the Properties of Numbers Using Logic F.IF.4 F.IF.5 F.IF.7 F.BF.1 F.BF.4 F.LE.1 Chapter 15 Test Chapter 16 Test CRT 4 th Term Comprehensive Final to Solve Problems 13