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Mathematics Department MJ 2 Advanced Curriculum Map Volusia County Schools 1205050/IAF Revised Summer 2012 Volusia County Mathematics Department Curriculum Map MJ Mathematics 2 Advanced Course Number 1205050/IAF
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Mathematics Department MJ 2 Advanced Curriculum Map Volusia County Schools 1205050/IAF Revised Summer 2012

Volusia County Mathematics Department Curriculum Map

MJ Mathematics 2 Advanced

Course Number 1205050/IAF

COMPONENTS 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

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Tools of Algebra PACING: 10 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Linear Functions

translate among different verbal, tabular, graphical and algebraic representations of functions

MA.8.A.1.1 Algebraic expression Coordinate plane Coordinate system Counterexample Domain Equation Evaluate Function Function rule Function table Numerical expression Ordered pair Origin Range Relation x-axis x-coordinate y-axis y-coordinate

identify a function MA.8.A.1.1

determine the relationship between two sets of data using a scatter plot

MA.8.S.3.1

identify and plot ordered pairs in all four quadrants of the coordinate plane.

MA.7.G.4.3 MA.8.A.1.1

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

UNIT/ORGANIZING PRINCIPLE: Tools of Algebra PACING: 10 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 1-1: Words and Expressions

Section 1-2: Variables and Expressions Section 1-3: Properties Section 1-4: Ordered Pairs/Relations Section 1-5: Words, Equations, Tables and Graphs Section 1-6: Scatter plots TI Activity Exchange & APPS:

Scatter Plots It's a Bug's Temp Math TODAY - Cropland Value Grows Math TODAY - Super Ticket Sales NCTE: Going Out on a Limb: Presenting Predictions

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11344&MICROSIT

E=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=16898&MICROSIT

E=ACTIVITYEXCHANGE

Required Benchmark Assessment

MA.7.G.4.3

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Real Numbers and Transformations PACING: 9 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting? Can the student predict the results of transformations?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Integers Transformations

calculate the absolute values of integers.

compare and order integers.

justify and apply the rules for Add/Subtract/Multiply/Divide integers

MA.8.A.6.4

Absolute Value Additive inverse Coordinate Inequality Integer Mean Negative number Opposites Quadrant Transformation Reflection Rotation Translation

predict the results of transformations, and draw transformed figures with and without the coordinate plane.

MA.7.G.4.2

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

UNIT/ORGANIZING PRINCIPLE: Real Numbers and Transformations PACING: 9 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting? Can the student predict the results of transformations?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 2-1: Integers and Absolute Value Section 2-2: Adding Integers Section 2-3: Subtracting Integers Section 2-4: Multiplying Integers Section 2-5: Dividing Integers Section 2-6: Graphing in Four Quadrants Section 2-7: Translations and Reflections on the Coordinate Plane Section 11-3: Rotations Section 6-8: Dilations

CPALMS: http://www.floridastandards.org/homepage/index.aspx Money Matters: Integers are Integral

Integers: Quick, Fun and Easy to Learn

Cartesian Classroom

TI Activity Exchange & APPS: You're Getting Warmer

Adding Up The Operations

Integers! It All Adds Up!

Activity 4: Order Some Ops

Activity 12: Getting Negative

Activity 13: Do Opposites Attract?

Activity 21: It Is Absolute http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17249&MICROSI

TE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11995&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=13129&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=13132&MICROSITE=TI%20Math%20Nspired

Math’scool: 3.1-3.5, 5.3-5.7, 6.1-6.6, 10.1-10.3

Required Benchmark Assessment

MA.7.A.3.1 MA.7.A.3.2 MA.7.G.4.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Rational Numbers PACING: 15 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Rational Numbers

idenitfy rational numbers as terminating and repeating decimals. MA.7.A.5.1

Rational number Repeating notation Terminating decimal Bar notation Multiplicative inverse Reciprocal

justify and apply the rules for Add/Subtract/Multiply/Divide rational numbers.

perform operations on real number using multi-step and real world problems.

MA.8.A.6.4

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

UNIT/ORGANIZING PRINCIPLE: Rational Numbers PACING: 15 days 1st Nine Weeks

ESSENTIAL QUESTIONS: Can the student use rational numbers to apply all mathematical operations in a real world setting?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 3-1: Fractions and Decimals Section 3-2: Rational Numbers Section 3-3: Multiplying Rational Numbers Section 3-4: Dividing Rational Numbers Section 3-5: Adding and Subtracting Like Fractions Section 3-6: Adding and Subtracting Unlike Fractions

Internet Resources

Required Benchmark Assessment

MA.7.A.5.1

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Solving Linear Equations PACING: 14 days 1st – 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student write, solve, and apply linear equations in real world situations?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Rational Equations

solve one step equations MA.8.A.4.2 Coefficient Constant Distributive property Equivalent expressions Inverse operations Like terms Solution Term Two-step equation

solve two step equations MA.8.A.4.2

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

UNIT/ORGANIZING PRINCIPLE: Solving Linear Equations PACING: 14 days 1st – 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student write, solve, and apply linear equations in real world situations?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 4-1: The Distributive Property Section 4-2: Simplifying Algebraic Expressions Section 4-3: Solving Equations by Adding or Subtracting Section 4-4: Solving Equations by Multiplying or Dividing Section 4-5: Solving Two-Step Equations Section 4-6: Writing Equations. CPALMS: http://www.floridastandards.org/homepage/index.aspx

Classic Middle-Grades Problems for the Classroom

TI Activity Exchange & APPS: Topics in Algebra Chapter 1 Lesson 2

Topics in Algebra Chapter Lesson 3

Going for the Gold

Activity 14: Can You Walk 3 Miles Per Hour? http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9120&id=11340 http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9120&id=11342 http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9120&id=11983 http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9120&id=11985

Algebra’cool: 3.1-3.6, 4.2-4.4 Math’scool: 2.5, 4.2, 5.2

Required Benchmark Assessment

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Solving Linear Equations and Inequalities PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student write, solve, and apply linear equations in real world situations? Can the student write, solve, graph, and apply linear inequalities given real world situations?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Inequalities

solve and graph one step inequalities. MA.8.A.4.2

Inequalities Null Empty Set Identity solve and graph two-step inequalities.

MA.8.A.4.2

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

UNIT/ORGANIZING PRINCIPLE: Solving Linear Equations and Inequalities PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student write, solve, and apply linear equations in real world situations? Can the student write, solve, graph, and apply linear inequalities given real world situations?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 5-2: Solving Equations with Variables on Each Side

Section 5-3: Inequalities Section 5-4: Solving Inequalities Section 5-5: Solving Multi-Step Equations and Inequalities CPALMS: http://www.floridastandards.org/homepage/index.aspx

An Introduction To Solving And Graphing Inequalities

TI Activity Exchange & APPS: Inequality graphing

Guess my coefficients

Topics in Algebra Chapter 5

http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9121&id=11450

http://education.ti.com/calculators/timathnspired/US/Activities/Detail?sa=5022&t=9121&id=11448

Required Benchmark Assessment

MA.7.A.3.3 MA.7.A.3.4

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE Measurement/Proportions PACING: 12 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student use proportional relationships to solve real-world problems? Determine how changes in dimensions affect perimeter and area?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Measurement Proportional Reasoning

convert units of measure within and between Metric and Customary Systems.

MA.7.G.4.4

MA.8.G.5.1

Constant of proportionality Corresponding parts Cross products Dimensional analysis Indirect measurement Inverse proportion Proportion Non-proportion Scale drawing/factor Scale model Similar figures Ratio Rate Unit Rate

determine if a situation is proportional. MA.7.A.1.1

distinguish direct variation /inverse variation MA.7.A.1.5

apply proportionality for solving scale drawings. MA.7.A.1.6

solve problems involving similar figures

MA.7.A.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

UNIT/ORGANIZING PRINCIPLE Measurement/Proportions PACING: 12 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student use proportional relationships to solve real-world problems? Can the determine how changes in dimensions affect perimeter and area?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 6-1: Ratios Section 6-2: Unit Rates Section 6-3: Converting Rates and Measurements Section 6-4: Proportional and Non-proportional relationships Section 6-5: Solving Proportions Section 6-6: Scale Drawings and Models Section 6-7: Similar Figures CPALMS: http://www.floridastandards.org/homepage/index.aspx

Feeding Frenzy

Capture - Recapture

Off the Scale

In Your Shadow

TI Activity Exchange & APPS:

What's the Whole Population?

What’s the Unit of Choice?

Smart Shoppers

Step Up

Activity 11: Slope Challenge

Required Benchmark Assessment

MA.7.A.1.1 MA.7.A.1.5 MA.7.A.1.6 MA.7.A.1.3 MA.7.G.4.4

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Percent PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student use proportional relationships to solve real-world problems?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Percent

identify rational number as terminating or repeating decimals. MA.7.A.5.1 Markup Percent Percent equations Percent of change Percent of decrease Percent of increase Principle

solve problems that involve calculating percent of a number, discount amount.

MA.7.A.1.2

solve problems that involve calculating tax and tip. MA.7.A.1.2

solve problems that involve calculating percent of increase/decrease.

MA.7.A.1.2

solve problems that involve calculating simple interest. (not compound interest)

MA.7.A.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

UNIT/ORGANIZING PRINCIPLE: Percent PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student use proportional relationships to solve real-world problems?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 7-1: Fractions and Percents Section 7-2: Fractions, Decimals, and Percents

Section 7-3: Using the Percent Proportion Section 7-4: Find Percent of a Number Mentally Section 7-5: Using Percent Equations Section 7-6: Percent of Change Section 7-7: Simple and Compound Interest CPALMS: http://www.floridastandards.org/homepage/index.aspx

Shops at the Mall

Let's Go Shopping: Calculating Percents

Percents: What's the Use?

TI Activity Exchange & APPS:

Percents - Small and Large

Discount Savings

Running Circles Around the Diameter

Activity 5: Growing the Green

Activity 7: Two Friends' Methods

Required Benchmark Assessment

MA.7.A.1.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Data Analysis PACING: 5 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze real-world data appropriately?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Data Analysis construct and analyze circle graphs.

MA.7.S.6.2 Stem-and-Leaf Plot Stems Leaves Histograms Circle graph

construct and analyze stem and leaf plots MA.7.S.6.2

construct and analyze histograms. MA.7.S.6.2

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

UNIT/ORGANIZING PRINCIPLE: Data Analysis PACING: 5 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze real-world data appropriately?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 7-8: Circle Graphs Section 13-2: Stem and Leaf Plots Section 13-5: Histograms CPALMS: http://www.floridastandards.org/homepage/index.aspx

Information Represented Graphically: History of Populations

TI Activity Exchange & APPS:

Making Conjectures

Graphs of Data

http://education.ti.com/calculators/timathnspired/US/Activities/Detail?id=17256&sa=1008&t=1135

http://education.ti.com/calculators/timathnspired/US/Activities/Detail?id=17339&sa=1008&t=1135

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=16921&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=13272&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=16176&MICROSITE=TI%20Math

Required Benchmark

Assessment MA.7.S.6.1 MA.7.S.6.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Probability PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze real-world data appropriately? Can the student solve real-world problems applying theoretical probability?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Probability

predict if the event is likely or unlikely to occur MA.7.P.7.1 Permutations

Combinations Independent Events Dependent Events Mutually Exclusive Events Outcome Population Sample Theoretical Probability Experimental Probability Tree diagram Unbiased Sample Biased Sample Fundamental Counting Principle

determine if an experiment if fair or unfair MA.7.P.7.1

determine the validity of a sample. MA.7.S.6.1

calculate the probability of an event; dependent or independent MA.7.P.7.2

calculate the probability of an event using theoretical and/or experimental probability.

MA.7.P.7.2

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

UNIT/ORGANIZING PRINCIPLE: Probability PACING: 9 days 2nd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze real-world data appropriately? Can the student solve real-world problems applying theoretical probability?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 13-6: Theoretical and Experimental Probability

Section 13-7: Using Sampling to Predict Section 13-8: Counting Outcomes Section 13-9: Permutations and Combinations Section 13-10: Probability of Compound Events CPALMS: http://www.floridastandards.org/homepage/index.aspx Coin Tossing

Boxing Up (Probability Simulation)

M & M Candy: I Want Green

TI Activity Exchange & APPS: Switch or Stick?

Sharing Birthdays

Plinko

Probability APP

Required Benchmark Assessment

MA.7.P.7.1 MA.7.P.7.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Surface Area and Volume PACING: 19 days 3rd Nine Weeks

ESSENTIAL QUESTIONS: Can the student apply geometric formulas to solve real life situations involving 2 and 3 dimensional figures?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Surface Area/Volume

justify and apply formulas for surface area (omit cones) and volume of solids including composite figures. (omit sphere)

MA.7.G.2.1 MA.7.G.2.2

Cross section Cylinder Lateral area Lateral face Plane Polyhedron Prism Pyramid Regular pyramid Similar solids Slant height Surface area Volume Face Base Cone Sphere Altitude

determine how changes in dimensions affect perimeter, area and volume.

MA.7.G.4.1

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

UNIT/ORGANIZING PRINCIPLE: Surface Area and Volume PACING: 19 days 3rd Nine Weeks

ESSENTIAL QUESTIONS: Can the student apply geometric formulas to solve real life situations involving 2 and 3 dimensional figures?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 12-2: Volume of Prisms Section 12-3: Volume of Cylinders Section 12-4: Volume of Pyramids, Cones and Spheres Section 12-5: Surface Area of Prisms Section 12-6: Surface Area of Cylinders Section 12-7: Surface Area of Pyramids and Cones Section 11-6: Area of Parallelograms, Triangles and Trapezoids Section 12-8: Similar Solids Big Ideas Section 7.5 CPALMS: http://www.floridastandards.org/homepage/index.aspx Scaling Away

Cylinder Surface Discovery

Popcorn, Anyone?

Who Wants To Carry a Million?

TI Activity Exchange & APPS: Activity 29: Area Formulas

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17246&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17248&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17252&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17253&MICROSITE=ACTIVITYEXCHANGE

Math’scool: 13.4-13.7

Required Benchmark

Assessment MA.7.G.2.1 MA.7.G.4.1 MA.7.G.2.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Linear Functions PACING: 20 days 3rd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze and represent a linear function in various forms?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Linear Functions

identify the domain and range of a linear equation

explain the difference between discrete and continuous data

MA.8.A.1.1 Constant of variation Rate of change Dependent variable Direct variation Function notation Independent variable Linear relationship Point-slope form Slope-intercept form Slope Sequence Term Linear Equation Constant Rate of Change Line of Fit Vertical line test x-intercept y-intercept

determine the slope of a linear function.

apply slope to describe the constant rate of change.

MA.7.A.1.4 MA.8.A.1.2

indentify the x and y intercepts MA.8.A.1.2

compare graphs of linear and non-linear functions MA.8.A.1.6

apply the best line of fit to make predictions about data. MA.8.S.3.1

construct scatter plots

MA.8.S.3.1

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

UNIT/ORGANIZING PRINCIPLE: Linear Functions PACING: 20 days 3rd Nine Weeks

ESSENTIAL QUESTIONS: Can the student analyze and represent a linear function in various forms?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 8-1: Functions Section 8-2: Sequences and Equations Section 8-3: Representing Linear Functions Section 8-4: Rate of Change Section 8-5: Constant rate of Change and Direct Variation Section 8-6: Slope Section 8-7: Slope-Intercept Form Section 8-8: Writing Linear Equations Section 8-9: Prediction Equations

CPALMS: http://www.floridastandards.org/homepage/index.aspx Finding Our Top Speed

Barbie Bungee (linear functions)

TI Activity Exchange & APPS: Topics in Algebra 1 (Chapters 1- 5)

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17162&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17164&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=17165&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11348&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11350&MICROSITE=TI%20Math

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=16130&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11986&MICROSITE=TI%20Math%20Nspired

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11349&MICROSITE=ACTIVITYEXCHANGE

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=11681&MICROSITE=TI%20Math

Algebra’scool:

9.1-9.4

Required Benchmark

Assessment MA.7.A.1.4 MA.7.A.5.2

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Exponents PACING: 10 days

4th

Nine Weeks

ESSENTIAL QUESTIONS: Can the student apply the properties of exponents to simplify polynomial expressions? Can the student distinguish between linear and nonlinear functions?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Exponents

compose large and small numbers using scientific notation to solve problems.

MA.8.A.6.1

Exponent

Factor tree

Monomial

Non-linear function

Parabola

Power

Prime factorization

Quadratic function

simplify real number expression using the laws of exponents MA.8.A.6.3

Real Numbers perform operations on real numbers using multi-step and real-world problems

MA.8.A.6.4

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

UNIT/ORGANIZING PRINCIPLE: Exponents PACING: 10 days

4th

Nine Weeks

ESSENTIAL QUESTIONS: Can the student apply the properties of exponents to simplify polynomial expressions? Can the student distinguish between linear and nonlinear functions?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 9-1:Powers and Exponents Section 9-2: Prime Factorization

Section 9-3: Multiplying and Dividing Monomials Section 9-4: Negative Exponents Section 9-5: Scientific Notation Section 9-6: Powers of Monomials Section 9-7: Linear and Nonlinear Functions Section 9-8: Quadratic Functions Section 9-9: Cubic and Exponential Functions

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Real Numbers and Right Triangles PACING: 10 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student use real numbers to apply all mathematical operations in a real world setting? Can the student use the Pythagorean theorem to find distances in real world situations?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Real Numbers

calculate square roots. MA.8.A.6.2 Congruent

Converse Hypotenuse Irrational numbers Legs of triangle Perfect square Pythagorean theorem Radical sign Real numbers Square root

perform operations on real numbers using multi-step and real-world problems.

MA.8.A.6.4

apply the apply Pythagorean Theorem to find distances and real-world situations.

MA.8.G.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

UNIT/ORGANIZING PRINCIPLE: Real Numbers and Right Triangles PACING: 10 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student use real numbers to apply all mathematical operations in a real world setting? Can the student use the Pythagorean theorem to find distances in real world situations?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 10-1: Squares and Square Roots

Section 10-2: The Real Number System Section 10-3: Triangles Section 10-4: The Pythagorean Theorem Section 6-9: Indirect Measurement

CPALMS: http://www.floridastandards.org/homepage/index.aspx Square Roots: Sides of squares and the square root symbol

The Next Billion

Pinwheel

TI Activity Exchange & APPS: Squares - Perfect or Not

Is It A Triangle? http://education.ti.com/calculators/timathnspired/US/Activities/Detail?id=13143&sa=5024&t=9122

http://education.ti.com/calculators/timathnspired/US/Activities/Detail?id=13147&sa=5024&t=9122

http://education.ti.com/calculators/downloads/US/Activities/Detail?ID=16894&MICROSITE=TI%20Math%20Nspired

Math’scool:

7.1, 8.7, 10.3

Required Benchmark Assessment

Suggested Assessments

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Angles and Polygons PACING: 15 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student make conjectures about angles and lines to determine the validity of those conjectures? Can the student calculate the sum of angles of any given polygon?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Angles and Polygons

classify and determine the measure of angles, including angles created when parallel are cut by transversals.

MA.8.G.2.2 Adjacent angles Alternate exterior angles Alternate interior angles Central angle Complementary angles Corresponding angles Corresponding parts Interior angles Regular polygon Sector Supplementary angles Transversal Vertical angles Parallel Lines Perpendicular Lines

determine the sum of the measures of the interior angles of a polygon.

MA.8.G.2.3

Real Numbers perform operations on real numbers using multi-step and real-world problems.

MA.8.A.6.4

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

UNIT/ORGANIZING PRINCIPLE: Angles and Polygons PACING: 15 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student make conjectures about angles and lines to determine the validity of those conjectures? Can the student calculate the sum of angles of any given polygon?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 11-1: Angle and Line Relationships

Section 11-4: Quadrilaterals Section 11-5: Polygons Section 11-7: Circles and Circumference Section 11-8: Areas of Circles

CPALMS: http://www.floridastandards.org/homepage/index.aspx

Adding It All Up

Angle Sums

CURRICULUM MAP MJ 2 Advanced

UNIT/ORGANIZING PRINCIPLE: Data Analysis PACING: 10 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student explain how data values impact measures of central tendency?

MEASUREMENT TOPICS

LEARNING TARGETS/SKILLS The student will:

BENCHMARKS ACADEMIC LANGUAGE

Data Analysis determine and describe how changes in data values impact

measures of central tendency.

MA.8.S.3.2 Box and Whisker plot Measures of central tendency Measures of Variation Mean Median Mode Range Quartiles Outlier

select, organize and construct box and whisker plots. MA.8.S.3.1

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

UNIT/ORGANIZING PRINCIPLE: Data Analysis PACING: 5 days 4th Nine Weeks

ESSENTIAL QUESTIONS: Can the student explain how data values impact measures of central tendency? Can the student using indirect measurement solve real-world problems?

Activities and Resources Assessment

Glencoe Pre-Algebra

Section 13-1: Measures of Central Tendency Section 13-3: Measures of Variation Section 13-4: Box and Whisker Plots CPALMS: http://www.floridastandards.org/homepage/index.aspx

Teaching and Learning Mathematics through Hurricane Tracking (NCTM)--Featured for Math & Science Day

Using NBA Statsitics for Box and Whisker Plots

Eat Your Veggies: Alphabet Soup (box-and-whisker plot, central tendency)

Get a Half-life!

Data Analysis and Measurement (Hurricane Forecasting: The Imperfect Storm)

Comparing Properties of the Mean and the Median through the use of Technology

TI Activity Exchange & APPS:

Scatter Plots It's a Bug's Temp Math TODAY - Cropland Value Grows Math TODAY - Super Ticket Sales NCTE: Going Out on a Limb: Presenting Predictions

Neighborhood Salaries

Finding Linear Models

Algebra’scool: 19.1-19.5


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