Mj-1719 Balltrol Rotary Control Valve Technical Mj Tcm20-22150
MJ Mathematics 2 Advanced - Volusia County...
Transcript of MJ Mathematics 2 Advanced - Volusia County...
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