Secondary Math I Scope and Sequence 1 2 3 4 5 Pre-Benchmark Test 0-Week Pre-Benchmark Test 0-Week Pre-Task #1 Taxi Fares and Bicycle Rentals 0-Week Pre-Task #2 The Garden Problem Pre-Task #3 What Equation and Paying The Rent 0-Week 0-Week 5 7 1.0B Solving Eq. With Variables on Both Sides 8 1.0C Multi-Step Equations 10 1.1A Create an Equation 6 Unit 1 1.0 A Solving 2-Step Equations 11 12 13 14 15 1.1 B and C Solving Equations: Is it correct? 1.1D Solving for indicated variable 1.1E Using Formulas 1.2A Algebraic Properties 1.2B Solve Equations and Justify 16 1.2C Solve Equations and Justify 17 18 19 Unit 1A Quiz Review Unit 1A Quiz 1.3A Solving Inequalities 20 1.3B Set and Interval Notation 21 1.3C Solve Compound Inequalities 22 1.3D More Compound Inequalities 23 1.3E More Compound Inequalities 24 1.4A1 Solving Absolute Value Equations 25 1.4A2 Solving Absolute Value Inequalities (2 Days) 26 Unit 1 Test Review 27 Unit 1 Test 28 29 30 2.0A Graphing Review 2.0B Graphing on Calculator 2.1A What is a solution? System Intro/Task 31 2.1C Solving Systems With Graphing 36 2.2C1 Choose method for solving systems 32 2.2A1 Solving Systems with Substitution 33 2.2A2 Solving Systems with Substitution 35 2.2B2 Systems with Elimination 37 2.2C2 Find the Error 38 34 2.2B1 Solving Systems with Elimination 39 Unit 2A Review Unit 2A Quiz 2.3A Total Value Story Problems 41 2.3B Motion Story Problems 42 43 44 45 2.3C Perimeter Story Problems Unit 2B Reveiw Unit 2B Quiz Wiggle room 1.0D Exponential Equations 40 Second Quarter 1 2 2.4A 2.4D1 System Graphing Linear Inequalities of Inequalities by hand 3 2.4D2 Systems of Inequalities on Calculator 4 5 2.5A 2.5B Intro to Linear Programming Linear Program. 6 2.5C Linear Program. 8 Unit 2C Quiz 9 Benchmark Test 7 Unit 2C Review 10 Benchmark Test 11 12 13 14 15 3.0 (Task) 3.1A Relations and Functions Average Rate of Change 3.1C Independent VS Dependent 3.1D 3.2A Variables Linear Function StoriesX and Y-intercepts 16 17 18 19 20 3.2B 3.2C 3.2E Review Quiz 3A Tables, Graphs, Stories, Tables and Equations to Linear Equations The Concept of Functions Quiz 3A 21 22 23 24 3.3A1 3.3A2 3.3B 3.3D Intro to Exponentials Graphing Exponentials Exponential by hand Functions Interpret Graphs One Grain of Rice 25 3.3F Exponential Stories 26 27 3.4B End Behavior 3.4D Review Quiz 3B Rate of Change over given interval Quiz 3B 30 4.0 Growing Dots (Task) 31 4.1E Linear, Exponential, or Neither? 32 33 4.2A 4.2A Arithmetic Sequences Explicit and RecursiveArithmetic 34 4.3A Geometric Sequences 35 4.3B Explicit and Recursive – Geometric 36 4A Quiz Review 37 4A Quiz 38 4.3C Linear and Exponential Sequences 39 4.4A Equations from Graphs 40 4.4C Story Problems 41 4.5B Systems of Linear and Exponential on Graphing Calculators 42 43 44 45 Unit 4 Test Review Unit 4 Test 5.0A Add and Sub. Polynomials 5.0B Mult. and Div. Polynomials 28 29 Third Quarter 1 5.0C Mult. Polynomials 2 4 5.1C Operations on Functions Mult. and Div. 5 5.0D Divide Polynomials 3 5.1A Operations on Functions Add and Sub 6 7 8 9 10 5.2A Composition of Functions 5.2B Composition of Functions 5.3 Composition of functions using a Graph Unit 5A Test Review Unit 5A Test 11 Benchmarks Tests Units 3, 4 & 5 12 Benchmarks Tests Units 3, 4 & 5 13 6.0 Geometric Vocabulary 14 15 6.1D Translations 6.1E Reflections 16 6.1F Rotations 17 6.1B Review of Transformations 18 19 20 6.1H 6.1G Composition of Transformations Review 21 22 6.1H 6.1G Composition of Transformations Review 23 6.1C Transform Points 26 28 27 6.3A Unit 6A Review Parallel and Perpendicular Lines Unit 6A Quiz 31 6.5A Vertical Transformations 32 6.5B Horizontal Transformations 33 6.6A Transform Exponential Functions 36 Unit 6B Quiz 37 7.4B Copying a Segment 42 7.5C Construct Perpendicular Bisector 38 7.4C Copying an angle 43 7.5D Construct Polygons Inscribed in Circles 41 7.5B Construct Parallel Lines 5.1D All Operations on Functions 24 6.1C Transform Points 25 6.2C Triangle Congruence 29 6.2A Transformations with triangle congruence 30 6.4A 6.4A Piecewise Transformations Day 2 Piecewise Transformations 34 35 6.6B Day 2 Unit 6B Reviw Transform Exponential Functions 39 40 7.4E 7.5A Bisecting Construct an Angle Perp. Lines 44 45 Unit 7 Test Review Unit 7 Test 4TH QUARTER 1 2 3 4 5 8.1 Review Parallel and Perpendicular Slopes 8.2A Pythagorean Theorem 8.2B Distance Form. and Pyth. Thm 8.2C Perimeter of Polygons with Distance 8 9 8.3A Proving Squares and Rectangles using distance and slope 10 Unit 8 Review Unit 8 Test 6 7 8.3C 8.3B Area of More Proving Squares and Triangles, Rectangles Rectangles and Squares 11 12 Benchmark Test Unit 6, 7, and 8 14 9.3A Standard Deviation By Hand 15 9.3B Standard Deviation On Calculator 16 9.3C Standard Deviation Review 13 9.2 9.1A Box/Whisker Mean, Median, Mode Histogram Popcorn Acitivity 17 18 9.4A 9.5A Interpreting Dot Plots/ Statistics Histograms M & M Activity 19 9.5B Histograms/Box and Whisker Use Your Head Activity 20 21 22 Unit 9 Review Unit 9 Test 25 10.2A Lines of Best Fit 26 10.2B Lines of Best Fit on Calculator 27 10.2C Interpreting Intercepts, Slope, and Lines of Best Fit 32 24 10.1C Relative, Joint, and Marginal Frequencies 29 10.4A Correlation Coefficient Benchmark Test Unit 6, 7, and 8 31 10.4C Correlation Vs Causation Statistics Project 23 10.1A 2-Way Frequency Tables 28 10.3 Which Line Is the Best Fit? 9.5C NBA Heights Activity 30 10.4B Residuals 33 34 Students Benchmark Project will need time for Benchmark Project 35 Benchmark Project 36 Wiggle room for End of year Testing, Assemblies, Time out of school, etc… 37 38 39 40 41Wiggle room for Testing, Assemblies, Time out of school, etc… 42 43 44 45 Secondary Math 1 Unit overview, with approximate time requirements Unit 1, Approx. 5 Weeks, Into 6th week of 1st Quarter Solve equations and inequalities. Justify steps in solving equations. Solve absolute-value equations and inequalities. Solve compound inequalities. Use set and interval notation to describe solutions to compound Unit 2, End of Quarter 1, 2 weeks of Quarter 2 Find and explain solutions to systems of equations graphically. Find and explain solutions to systems of equations algebraically. Write and solve systems of equations and justify the solving method used. Graph/solve/explain an inequality in two variables. Write/graph/solve/explain systems of inequalities. Write constraint equations, apply linear programming and explain solution. Unit 3, 2nd Quarter week 3-6 Understand functions. Use function notation and vocabulary effectively. Interpret/analyze linear functions using tables, graphs, equations and contexts. Interpret/analyze exponential functions using tables, graphs, equations and contexts. Interpret/analyze/compare linear and exponential functions using various models. Unit 4, 2nd Quarter weeks 7-9 Compare arithmetic and geometric sequences and linear and exponential growth. Understand arithmetic sequences as linear functions. Write explicit and recursive formulas for arithmetic sequences. Understand geometric sequences as exponential functions. Write explicit and recursive formulas for geometric sequences. Write arithmetic and geometric sequence formulas from tables, graphs and contexts. Model and solve real-life “sequence” problems using tables, graphs, and equations (formulas). Construct and compare linear and exponential functions and systems of exponential and linear functions. Unit 5, 3rd Quarter week 1-3 Build new functions by operating on functions (adding, subtracting, multiplying, dividing). Build new functions by composing functions. Unit 6, 3rd Quarter Weeks 4-7 (This may not be enough) Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment Represent transformations in the plane using a variety of methods Describe transformations as functions that take points in the plane as inputs and give other points as outputs Compare transformations that preserve distance and angle to those that do not Given a shape describe the rotations and reflections that carry it onto itself Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments Rotate, reflect, and translate figures using a variety of methods Specify a sequence of transformations that will carry a given figure onto another Use the definition of congruence in terms of rigid motions to decide if they are congruent Triangle congruence: corresponding pairs of sides and corresponding pairs of angles are congruent Explain how the criteria for triangle congruence (ASA, SAS, AAS, and SSS) follow from the definitions of congruence in terms of rigid motions Make formal geometric constructions with a variety of tools and methods: copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines (perpendicular bisector); and constructing a line parallel to a given line through a point not on the line. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle Unit 7, 3rd Quarter weeks 8-9 Copy and bisect angles and segments using construction techniques Construct a perpendicular bisector and parallel/perpendicular lines through a point. Explain why the constructions work. Unit 8, 4th Quarter Weeks 1-2 Connect slope with parallel and perpendicular lines Connect and use the distance formula and Pythagorean theorem. Use coordinates to prove geometric theorems and make calculations. Unit 9 Uni-Variate Statistics 4th Quarter Weeks 3-4 Calculate mean, median, and mode. I can create and interpret box, histogram, and dot plots. Determine and interpret standard deviation. Interpret the shape of data plots. Unit 10 Bi-Variate Statistics, 4th Quarter Weeks 5-7 Interpret and compare two data sets. Create and analyze two-way frequency tables Determine and interpret linear lines of fit. Differentiate and analyze linear and exponential fit. Calculate and analyze correlation and residuals and interpret causation.