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Mathematics Department Math for College Readiness Curriculum Map Volusia County Schools 1200700/IND Revised June 8, 2012
Volusia County Mathematics Curriculum Map
Math for College Readiness
Course Number 1200700/IND
KEY TERMINOLOGY OF THE CURRICULUM MAP
Unit/Organizing Principle: the overarching organizational structure used to group content and concepts within the curriculum map Pacing: the recommended time period within the year for instruction related to the essential questions to occur Essential Questions: the overarching question(s) that will serve to guide instruction and push students to higher levels of thinking; essential questions should guide students to the heart of the content Measurement Topics: a list of the major underlying concepts covered in the development of the essential questions Learning Targets/Skills: the content knowledge, processes and enabling skills that will ensure successful mastery of the essential questions Benchmarks: the Next Generation Sunshine State Standards Academic Language: the content vocabulary and other key terms and phrases with which students should be familiar and that support mastery of the learning targets, skills and essential questions Activities and Resources: a listing of available, high quality and appropriate materials, strategies, lessons, textbooks, videos and other media sources that are aligned with the learning targets, skills and essential questions; developed to save teachers time when planning for instruction Assessment: a list of required formative assessments as well as suggested assessments that are available to use as formative or summative assessments
UNIT/ORGANIZING PRINCIPLE: The Rational Number System PACING: 1
st 9 weeks
3 days
ESSENTIAL QUESTIONS: How do you apply properties and order of operations to algebraically add, subtract, multiply and divide rational numbers?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Evaluating rational expressions
Add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
MACC.7.NS.1.1 Rational Numbers Quotient Product Reciprocal LCM Ratio
Multiply and divide rational numbers MACC.7.NS.1.2
Solve real-world and mathematical problems involving the four operations with rational numbers
MACC.7.NS.1.3
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
1.1 Evaluating Expressions
1.2 Apply Order of Operation(only rational numbers)
1.3 Write Expressions
2.1 Use Integers and rational numbers
2.2 Add real numbers
2.3 Subtract real numbers
2.4 Multiply real numbers
2.5 Divide real numbers
Pearson (Algebra 1)
1.2 Order of operation (only rational numbers)
1.3 Real numbers and the number line (only rational numbers)
1.4 Properties of real numbers (only rational numbers)
1.5 Add and subtract real numbers (only rational numbers)
1.6 Multiply and Divide real numbers (only rational numbers)
Safari Montage
Math’scool Lesson 1
Internet Resources
www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch01_SE.pdf
Review of basic algebraic concepts
UNIT/ORGANIZING PRINCIPLE: Solve Real-Life and Mathematical Problems Using Numerical and
Algebraic Expressions and Equations
PACING: 1st 9 weeks
9 days
ESSENTIAL QUESTIONS: How can you use algebraic expressions, equations and inequalities to solve real-life problems
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Applying algebraic equations/ inequalities
Translate verbal phrases into algebraic expressions and vice versa
MACC.7.EE.2.4b
Expression Equation Inequalities Linear Equations Inverse Operations Set Builder Notation Interval Notation Null Set Universal Set
Solve linear equations and inequalities MACC.912.A-REI.2.3
Graph the solution set for the inequalities MACC.7.EE.2.4b
Understand the graph of an equation or inequalities in two variables is the set of all its solutions plotted in the coordinate plane
MACC.912.A-REI.4.10
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
1.1 Evaluate expressions
1.2 Order of operations
1.3 Write expressions
1.4 Write equations and inequalities
1.5 Use a problem solving plan
2.5 Distributive properties
3.1 Solve one step equations
3.2 Solve two step equations
3.3 Solve multi step equations
3.4 Solve equations with variables on both sides
3.5 Write ratios and proportions
3.6 Solve percent problems
3.7 Rewrite equations and formulas
All of Chapter 6 Solving and Graphing Linear inequalities
Pearson (Algebra 1)
1.1 Variable and expressions
1.2 Order of operations and expression
1.7 Distributive property
1.8 Intro to Equations
1.9 Patterns, Equations and Graphs
2.1 Solve one step equations
2.2 Solve two step equations
2.3 Solve multi step equations
2.4 Modeling equations with variables on both sides
2.6 Ratios, rates and conversions
2.7 Solve proportions
2.8 Proportions and similar figures
2.9 Percents
2.10Change expressed as percent
All of Chapter 3 Solving Inequalities
www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch01_SE.pdf
Review of basic algebraic concepts
UNIT/ORGANIZING PRINCIPLE: Use Functions to Model Relationships Between Quantities PACING: 1
st 9 weeks
10 days
ESSENTIAL QUESTIONS: Can a student recognize and represent linear functions in table graph and equation forms
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Relations & Functions
Use the functions to translate model relationships between quantities
MACC.8.F.2.4 Direct Variation Domain Function Indirect Variation Range Relation Vertical Line Test Function Notation Slope Rate of Change Intercept
Build a function that models a relationship between two quantities
MACC.912.F-BF.1.1
Understand the concept of a Function and use of function notation
MACC.912.F-IF.1.1
Interpret linear functions that arise in applications in terms of context
MACC.912.F-IF.2.4
Understand the connections between proportional relationships, lines, and linear equations
MACC.8.EE.2.5
Interpret linear models
Interpret the slope (rate of change) and intercept (constant tem) of a linear model in the context
MACC.912.S-ID.3
MACC.912.S-ID.3.7
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
1.6 Represent Functions and rules and tables
1.7 Represent functions as graphs
4.4 Find slope and rate of change
All of Chapter 4 Graphing linear equations and functions Pearson (Algebra 1)
All of Chapter 4 An Introductions to functions
5.1 Rate of change and slope
5.2 Direct variation
Daytona State College (Intermediate Algebra MAT1033)
Chapter 3
Safari Montage
Algebra’scool Lesson 9
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch04_SE.pdf
Introduction to Functions & Relations
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch10_SE.pdf
Logarithmic & Exponential Functions
UNIT/ORGANIZING PRINCIPLE: Reasoning and Creating Equations and Inequalities PACING: 1
st 9 weeks
20 days
ESSENTIAL QUESTIONS: How can you use linear equations and inequalities , their graphs, and relationship tables to model real world
situations?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Applying linear equations/ inequalities
Explain each step in solving equations and inequalities and construct a viable argument to justify a solution method
MACC.912.A-REI.1.1 Literal Equations Standard form Slope-intercept form Point-slope form x-intercept y-intercept constant variable slope rate of change
Create linear equations and inequalities in one variable and use them to solve problems.
MACC.912.A-CED.1.1
Solve literal equations
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales
MACC.912.A-CED.1.4
MACC.912.A-CED.1.2
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
5.1 Write linear equations in slope intercept form
5.2 Use linear equations in slope intercept fprm
5.3 Write linear equations in point slope form
5.4 write linear equations in standard form
5.5write equations of parallel and perpendicular lines
All of Chapter 6 Solving and Graphing Linear inequalities Pearson (Algebra 1)
All of Chapter 3 Solving inequalities
5.3 Slope intercept form
5.4 Point slope form
5.5 Standard form
5.6 Parallel and perpendicular lines
2.5 literal equations and formulas
Daytona State College (Intermediate Algebra MAT1033)
Chapter 1
Safari Montage
Algebra’scool Lesson 7
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch02_SE.pdf Linear Equations in Two Variables
UNIT/ORGANIZING PRINCIPLE: Solving Systems of Equations PACING: 2
nd 9 weeks
15 days
ESSENTIAL QUESTIONS: How do you solve systems of equations by graphing, substitution, elimination?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Solve linear systems
Solve systems of equations using substitution and elimination MACC.912.A-REI.3.5
Systems of linear equations Solutions of systems of equations Elimination Substitution Dependent Indepentent Consistent Inconsistent
Solve systems of equations by graphing exactly and approximately
MACC.912.A-REI.3.6
Explain why the x-coordinate points where the graphs of the equations intersect are the solutions of the equations; find the solutions approximately (include linear, polynomials, rational, absolute value, exponential, and logarithmic functions.
MACC.912.A-REI.4.11
Prove slope criteria for parallel and perpendicular lines and use them to solve geometric problems
MACC.912.G-GPE.2.5
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Suggested Resources
Holt McDougal (Algebra 1)
All of chapter 7 Systems of equations and inequalities Pearson (Algebra 1)
All of chapter 6 Systems of equations and inequalities
Daytona State College (Intermediate Algebra MAT1033)
Chapter 2
Safari Montage
Algebra’scool Lesson 10
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch03_SE.pdf
Solving Systems of Linear Equations
UNIT/ORGANIZING PRINCIPLE: Expressions and Equations PACING: 2
nd 9 weeks
2 days
ESSENTIAL QUESTIONS: How do you manipulate radicals and integer exponents?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Simplifying monomial exponents
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
MACC.8.EE.1.1
Power Base Exponent Radical Radicand Scientific notation
Perform operations with number expressed in scientific notation. MACC.8.EE.1.4
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
All of Chapter 8 Exponents and exponential functions Pearson (Algebra 1)
All of Chapter 7 Exponents
Safari Montage
Math’scool Lesson 5.6 Exponents and Powers
Algebra’scool Lesson 11.1 Applying Rules of Exponents
Algebra’scool Lesson 1.4 Simplifying expressions with exponents and roots
Math’scool Lesson 5.7 Scientific Notation www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
UNIT/ORGANIZING PRINCIPLE: The irrational numbers and the real number system PACING: 2
nd & 3
rd 9 weeks
30 days
ESSENTIAL QUESTIONS: How do you use properties or rational and irrational numbers to solve rational and radical equations
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Radical & Rational
Expressions Identifying and approximating irrational numbers MACC.8.NS.1.1 Rational Expression Equivalent rational expressions Complex Fraction Radical Expression Domain of a rational & radical expression Range of a rational & radical expression Index Radicand Square root Cubed Root Conjugate pair Rationalize (the denominator) Extraneous solutions Asymptote
Extend the properties of exponents to rational exponents MACC.912.N-RN.1.1
Use properties of rational and irrational numbers MACC.912.N-RN.2.3
Simplifying and rationalizing radical expressions MACC.912.A-APR.4.7
Solve simple rational and radical equations in one variable, and give examples showing extraneous solutions may arise
MACC.912.A-REI.2.3
Create simple rational equations in two variables and use them to solve problems.
MACC.912.A-CED.1.1
Represent constraints by equations and inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context
MACC.912.A-CED.1.3
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
2.7 Finding square roots and compare real numbers
11.1 Graphing square root functions
11.2 Simplify radical expressions
11.3 Solve radical equations
All of Chapter 12 Pearson (Algebra 1)
Chapter 1 Foundations for algebra (irrational numbers)
Chapter 10 Radical Expressions
Daytona State College (Intermediate Algebra MAT1033)
Chapter 5
Chapter 6
Chapter 7 Section 7.1
Safari Montage
Algebra’scool Lesson 15: Rational Expressions
Algebra’scool Lesson 17: Radical Expressions www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets http://people.ucsc.edu/~miglior/chapter%20pdf/Ch06_SE.pdf Rational Expressions & Rational Equations http://people.ucsc.edu/~miglior/chapter%20pdf/Ch07_SE.pdf Radicals & Complex Numbers
UNIT/ORGANIZING PRINCIPLE: Polynomials PACING: 3
rd 9 weeks
15 days
ESSENTIAL QUESTIONS: How do you identify, interpret and simplify polynomial expressions?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Operations with
polynomials
Interpret parts of a polynomial expressions MACC.912.A-SSE-1.1 Monomial Binomial Trinomial Polynomial Coefficient Degree of a monomial Degree of a polynomial Constant Linear Quadratic Cubic Quartic Leading Term Synthetic Division Distance formula Midpoint Pythagorean Theorem
Perform arithmetic operations on polynomials MACC.912.A-APR.1.1
Simplify and divide polynomials MACC.912.A-APR.4.6
Use polynomial identities to solve problems MACC.912.A-APR.3.4
Find the point on a directed line segment between two given points that partitions the segment given the ratio
MACC.912.G-GPE.2.6
Use coordinates to compute perimeters of polygons and areas of a triangles and rectangles, e.g., using the distance formula.
MACC.912.G-GPE.2.7
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
9.1 Add and subtract polynomials
9.2 Multiply Polynomials
9.3 Find Special products and polynomials
11.4 Apply the Pythagorean Theorem and Its converse
11.5 Apply the distance and midpoint formulas Pearson (Algebra 1)
8.1 adding and subtracting polynomials
8.2 multiplying and factoring
8.3 Multiplying binomials
8.4 Multiplying special cases
Daytona State College (Intermediate Algebra MAT1033)
4.1 Division of Polynomials
4.2 Greatest common factor and factoring by grouping
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets http://people.ucsc.edu/~miglior/chapter%20pdf/Ch05_SE.pdf Introduction to Polynomials
UNIT/ORGANIZING PRINCIPLE: Factoring and solving polynomial equations PACING: 3
rd 9 weeks
20 days
ESSENTIAL QUESTIONS: How do you solve a polynomial equation?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Solving quadratic
equations Use GCF to factor polynomials MACC.912.A-SSE.2.3 Factor Factor by grouping Factor completely GCF Difference of Squares Difference of cubes Perfect Square Trinomial Sum of cubes Zeros (of a function) Zero product rule Roots
Identify zeros of polynomials when suitable factorization are available, and use the zeros to construct a rough graph of the function define by the polynomial
MACC.912.A-APR.2.3
Factor quadratic expressions to reveal the zeros of the function it defines
MACC.912.A-SSE.2.3a
Solve quadratic equations of the type ax 2 + bx + c and x 2
+ bx + c in one variable MACC.912.A-REI.2.4
Factoring special cases MACC.912.A-SSE.1.2
Completing the squares MACC.912.A-REI.2.4a
Factor using various methods (completing squares, factoring,etc) MACC.912.A-REI.2.4b
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
9.4 Solve polynomial equations in factored form
9.5 Factor xˆ2+bx+c
9.6 Factor ax^2+bx+c
9.7 Factor special products
9.8 Factor polynomials completely
10.4 Use square roots to solve quadratic equations
10.5 Solve quadratic equations by completing the square
10.6 Solve quadratic equations by the quadratic formulas
10.7 Interpret the discriminate Pearson (Algebra 1)
8.5 Factoring x^2+bx+c
8.6 Factoring ax^2+bx+c
8.7 Factoring special cases
8.8 Factoring by grouping
Daytona State College (Intermediate Algebra MAT1033)
4.3 Factoring Trinomials
4.4 Factoring binomials
4.5 Additional Factoring Strategies
4.6 Solving equations using the zero product rule
7.2 Square Root Property & completing the square
7.3 Quadratic Formula
Safari Montage
Algebra’scool Lesson 11: Polynomials
Algebra’scool Lesson 12: Factoring Polynomials
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets
UNIT/ORGANIZING PRINCIPLE: Graphing quadratic functions PACING: 4
th 9 weeks
10 days
ESSENTIAL QUESTIONS: How do you use the various techniques to graph a quadratic function?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Graphing quadratics Identify key features of a quadratic function by hand
and using technology MACC.912.F-IF.3.7
Parabola Vertex Axis of symmetry Extreme value (of a quadratic function) Maxima Minima Intercepts Completing the square Quadratic Formula Discriminant Real root Imaginary root Standard Form Vertex Form Parent function End behavior Periodicity
Graph quadratic functions and show intercepts, maxima and minima
MACC.912.F-IF.3.7a
Write a function define by an expression in different but equivalent forms to reveal and explain different properties of the function
MACC.912.F-IF.3.8
Use factoring and completing squares to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context
MACC.912.F-IF.3.8a
Shifting and stretching functions MACC.912.F-BF.2.3
Interpret functions that arise in applications in terms of context. Interpret key features: intercepts, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity
MACC.912.F-IF.2.4
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
10.1 Graph y=ax^2+c
10.2 Graph y=ax^2+bx+c
10.3Solving quadratic equations by graphing Pearson (Algebra 1)
All of Chapter 9 Quadratic Functions and Equations
Safari Montage
Algebra’scool Lesson 13: Solving quadratic equations
Algebra’scool Lesson 14: Graphing quadratic relations
Internet Resources www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets Ck12.org/flexbook
http://people.ucsc.edu/~miglior/chapter%20pdf/Ch08_SE.pdf
Quadratic Equations & Functions
UNIT/ORGANIZING PRINCIPLE: Data Analysis PACING: 4
th 9 weeks
10 days
ESSENTIAL QUESTIONS: How do you use analyze data given in various forms?
MEASUREMENT
TOPICS LEARNING TARGETS/SKILLS BENCHMARKS ACADEMIC LANGUAGE
Data Analysis Summarize Categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data
MACC.912.S-ID.2.5
Data Data analysis Frequency table Joint frequency Marginal frequency Conditional relative frequency Scatterplot Line of best fit (trend line) Regression Correlation (positive & negative) Direct variation Indirect variation Rate of change Residual Error Independent variable Dependent variable
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related
MACC.912.S-ID.2.6
Fit a function to the data; use functions to data to solve problems in the context of the data.
MACC.912.S-ID.2.6a
Plotting and analyzing residuals MACC.912.S-ID.2.6b
Fit linear function for a scatter plot that suggests a linear association
MACC.912.S-ID.2.6c
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision. Look for and make use of structure.
Look for and express regularity in repeated reasoning.
MACC.K12.MP.1 MACC.K12.MP.2 MACC.K12.MP.3 MACC.K12.MP.4 MACC.K12.MP.5 MACC.K12.MP.6 MACC.K12.MP.7 MACC.K12.MP.8
Activities and Resources Assessment
Suggested Resources
Holt McDougal (Algebra 1)
5.6 Fit a line to data
5.7 Predict with linear models
10.8 Compare linear, exponential, and quadratic models Pearson (Algebra 1)
5.7 Scatter plots and trend lines
www.pearsonsuccessnet.com reteaching worksheets and power points http://my.hrw.com
Power points and worksheets Safari Montage Algebra’scool Lesson 19 Ck12.org/flexbook
PERT Review/Study Materials: http://www.khanacademy.org/ http://www.fldoe.org/schools/pdf/PERT-StudentStudyGuide.pdf http://www.mdc.edu/testing_information/PERT/ http://www.fscj.edu/mydegree/assessment-certification/cpt/assets/documents/pert-math-study-guide.pdf http://www.seminolestate.edu/academic-success/cptrefresh.htm http://www.colpsc.com/index.php?option=com_weblinks&view=category&id=64&Itemid=33 http://valenciacollege.edu/assessments/cpt/