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1 1 of 5 8/11/2014 8:24 AM Units: Teacher: AdvancedMath, CORE Course: AdvancedMath Year: Ratios s Ratios s Ratio Applications of Ratio What is a ratio? What is a How do I use ratios proportions to solve problems? How do I solve for a variable in a How do I set up a 2.1.G.C  Use ratio proportion to model relationships between quantities. Ratio Applications of Ratio Find ratios write proportions Use ratios proportions to solve problems ratio gear ratio compression ratio cross product rule proportion scale directly proportional inversely proportional fraction decimal equivalent lowest terms common multiple common denominator divisor greatest common factor reciprocal numerator / denominator quotient product I can set up solve proportions. I can use a proportion to solve a given Supplemental Workbook Ratio s Ratios s Similar Congruent Figures Solving s Using scales What are similar figures? What are congruent figures? How do I set up a How do I solve a How do I determine the scale of a given drawing? Can I use a scale on a map? 2.1.G.C  Use ratio proportion to model relationships between quantities. Similar Congruent Figures GSRT.2  Given two figures, use the definition of similarity s used in terms of similarity on maps transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles the proportionality of all corresponding pairs of sides. Identify similar congruent figures. Set up a proportion to solve scales. Identify scales used on maps. ratio cross product rule proportion scale directly proportional inversely proportional I can determine similar congruent figures. I can set up solve a proportion. I can determine a scale for a given drawing. I can use a scale on a map. Supplemental Workbook Ratio (I) Ratio/ Quiz 9/27/2012 Measurement Measurement Direct Measurement Unit Conversions Customary Metric Conversions Precision Accuracy Can I measure a given dimension to a given unit? Can I convert units in the English Metric systems? Can I calculate perimeter, area, of polygons? Can I calculate costs for a project if the area is known? C  volume,, degrees of angles; calculate circumference area of circles, use a formula to solve for a missing quantity D  Perform conversions within the metric system within the customary system including scale s, between units of time between units of temperature. Direct s Precision accuracy perimeter, area, of polygons costs for a project if the area is known. Examples include paint costs, etc. Perform precision accurate accuracy precise tolerance s. onedimensional Convert units in the English Metric systems. perimeter, area,. twodimensional threedimensional English units metric units conversion fractions board feet perimeter area polygon I can measure a given dimension accurately to a given unit. I can convert units in the customary metric systems. I can convert units between the customary metric systems. I can calculate the perimeter, area, of polygons. I can calcualte the cost of a project if the area is known. Supplemental workbook Rulers Tape Measures Measuring Activity (D) Measuring Quiz 10/17/2012
2 2 of 5 8/11/2014 8:24 AM Drawing Can I determine the scale for a given drawing? Can I determine the scale for a given model? to use for a drawing /or model? GMG.3  Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). Determine scales Make scale drawings Determine the scale. Use proportions. Drawing Ratio Floor model I can create a simple scale drawing. Rulers Tape Measures drawing of bedroom Final Drawing 10/31/ F  Underst the concepts of ratio, proportion, percents, rates to determine unknown quantities in equations A  Demonstrate an understing of measurable attributes the units, systems, processes of. Drawing Application This willl be an ongoing project throughout most of the 9 weeks. Can I create a scale drawing of a floor plan for a Can I determine what is necessary for in a model for a 2.5.G.A  Develop a check whether an answer makes sense, drawings models s Ratios s s Floor plan I can create a scale drawing of a floor plan for a house. I can determine what the necessary items are for in a house. I can create a scale model of a house from a scale drawing. Internet access Rubrics for scale drawing project Rubrics for scale model project Drawing of House (D) Drawing Rough Draft 11/30/2012 Drawing Application This will be an ongoing project throughout most of the nine weeks. Can I create a scale drawing of a floor plan for a Can I determine what is necessary for in a model for a 2.5.G.A  Develop a check whether an answer makes sense, drawings models. s Ratios s s Floor plan I can create a scale drawing of a floor plan for a house. I can determine what the necessary items are for in a house. I can create a scale model of a house from a scale drawing. Internet access Rubrics for scale drawing project Rubrics for scale model project drawing of house (D) Individual Room 12/28/2012 Percents Interest Percents Interest Discounts Markups Tax Tip Interest (Loans + ) Percentages Conversions Monthly/Annual Payments Commission How do you use the percent proportion to solve percent problems? discounts, markups, tips sales tax? interest? B  Add, subtract, multiply, divide different kinds forms of rational numbers including integers, decimal fractions, percents, proper improper fractions. Discuounts Markups Taxes Interest Percentages discounts, markups, interest, taxes percent proportion Markup Discount Sales Tax Tips Interest Loan Commission I can use the percent proportion to solve percent problems. I can calculate discounts, markups, tips, sales tax. I can calculate simple interest. I can determine monthly payments for loan amounts. Supplemental workbook, worksheets, etc. Discounts, markups, taxes, interest, tips, commission Discounts, markups, sales tax, interest, tips, commission test 2/8/2013 monthly payments? I can calculate commission amounts.
3 3 of 5 8/11/2014 8:24 AM commission amounts? Life Management This will be ongoing throughout half of the 9 weeks. What is your career choice? gross net pay? payroll taxes? Can you find an affordable place to live? budget? Can you pay monthly bills on time? Can you secure transportation? CC.2.1.HS.F.4  Number Quantity ~ Use units as a way to underst problems to guide the solution of multistep problems A  Develop a Monthly living Budget planning Deciding on a career choice Planning for living Budget Expenses Savings Income taxes Mortgage Insurance Security Deposit Utilities Net Pay Gross Pay Payroll Deductions Payroll Taxes I can make a career choice. I can calculate gross net pay. I can calculate payroll taxes deductions. I can find an affordable place to live. I can follow a budget. I can pay my monthly bills. I can secure transportation. I can follow a savings plan. Life Management Website Supplemental Materials LIfe Career Management (I) Career Research Summary 2/22/2013 savings plan? B  Use appropriate mathematical language, notation, representations, including numerical tables, expressions, equations; including formulas, charts, graphs, diagrams to explain interpret results. Life Management This will be ongoing throughout half of the 9 weeks. What is your career choice? Can you find an affordable place to live? budget? Can you pay monthly bills on time? Can you secure transportation? savings plan? tax deductions? gross net pay? A  Develop a B  Use appropriate mathematical language, notation, representations, including numerical tables, expressions, equations; including formulas, charts, graphs, diagrams to explain interpret results. Monthly living Budget planning Tax deductions Gross pay Net pay Deciding on a career choice Planning for living Budget Expenses Savings Income taxes Mortgage Insurance Security Deposit Utilities Deductions Net Pay Gross Pay I can make a career choice. I can calculate tax deductions. I can calculate gross net pay. I can find an affordable place to live. I can follow a budget. I can pay my monthly bills. I can secure transportation. I can follow a savings plan. Life Management Website Supplemental Materials Living on a budget (D) Career Research Summary 3/8/2013 Solid Figures volume of solid figures. Use volume to apply to real world problems. What is a solid figure? for spheres, cylinders, prisms, pyramids? volume for spheres, cylinders, prisms, pyramids? How do you apply knowledge of surface area volume of solids to real world situations? C  Use properties of geometric figures formulas to solve for a missing quantity (e.g., the measure of a specific angle created by parallel lines a transversal). Surface area of: spheres cylinders prisms pyramids Volume of: spheres cylinders prisms pyramids real world applications of volume Use formulas to calculate volume of solids. Use knowledge of volume to solve real world problems. Solids Sphere Cylinder Prism Pyramid Surface Area Volume Perimeter Base Area I can identify a solid figure. Supplemental materials Formula Sheets I can find the of a sphere, cylinder, prism, or pyramid using a formula. I can find the volume of a sphere, cylinder, prism, or pyramid using a formula. I can solve a real world problem using my knowledge of volume. Real World problems (R) Surface Area Volume Test 3/29/2013
4 4 of 5 8/11/2014 8:24 AM Probability Probability How do I find simple probability? How do I know if an even is independent or dependent? How do I find probabilities? How do I find a combination /or permutation? How do you classify a probability? CC.2.4.HS.B.6  Probability ~ Use the concepts of independence conditional probability to interpret data. CC.2.4.HS.B.4  Probability ~ Recognize evaluate rom processes underlying statistical experiments. CC.2.4.HS.B.5  Probability ~ Make inferences justify conclusions based on sample surveys, experiments, observational studies. Define simple probability. Find simpel Determine if an event is classical, emperical, or subjective. Determine if events are independent or dependent. Find a combination. Find a permutation. Know how to find simple determine if events are independent or dependent. classify Know how the find combinations permutations. Probability Simple event Compound event Independent Dependent Experimental Theoretical Classical Probability Empirical Probability Subjective Probability Permutation Combination I can define probabililty. I can n event is independent or dependent. I can find the probability of a simple or event. I can classify probability as classical, empirical, or subjective. I can find a combination a permutation. Supplemental materials. The Basics of Probability (I) Basics of Probability Test 4/18/2014 CC.2.4.HS.B.7  Probability ~ Apply the rules of probability to compute probabilities of events in a uniform probability model. SCP.6  (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a rom number generator). SCP.7  (+) Analyze decisions strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). SCP.8  (+) Apply the general Multiplication Rule in a uniform probability model, P(A B) = P(A)P(B A) = P(B)P(A B), interpret the answer in terms of the model. SCP.9  (+) Use permutations combinations to compute probabilities of events solve problems. Function Sense Identify functions. What is a How do you know if a graph is a funtion? What is the vertical line test used for? How do you know if a function is increasing or decreasing? What is the minimum maximum point of a What is the domain range of a rate of change of a How do you find the slope of a line? 2.3.A2.E  Describe how a change in the value of one variable in formulas affects the value of the B  Evaluate simplify algebraic expressions solve graph linear, quadratic, exponential, logarithmic equations inequalities, solve graph systems of equations inequalities D  Demonstrate an understing apply properties of functions (domain, range, inverses) characteristics of families of functions (linear, polynomial, rational, trigonometric, exponential, Define a Use the vertical line test to graph is a Describe if a graph is an increasing or decreasing Identify the maximum minimum values of a Identify the domain range of a the rate of change of a Graph a set of data. the slope of a line interpret it. Know how to define a funtion. use the veritcal line test to graph is a graph is increasing or decreasing. find the minimum or maximum values of a find the domain range of a calculate the rate of change of a Function Vertical Line Test Increasing Decreasing Minimum Maximum Domain Range Rate of Change Slope I can define a I can graph is a I can use the vertical line test to graph is a I can graph is increasing or decreasing. I can determine the minimum maximum values of a I can determine the domain range of a I can calculate the rate of change of a I can find the slope of a line. Mathematics in Action Text  Chapter 3 Supplemental materials. Funciton Sense (D) Function Sense Test 4/30/2013
5 5 of 5 8/11/2014 8:24 AM logarithmic) A  Determine interpret maximum minimum values of a function over a specified interval. graph a set of data determine the slope of the line. Problem Solving Projects Simple projects that require designing planning before starting. Projects are done with specific amount of materials. How do you solve a given problem? How do you design a plan for a given problem? How do you carry out the plan for a given problem? A  Develop a Design a plan to solve a given Carry out the plan to solve a Design a plan to solve a Carry out the plan to solve a Decide if the plan worked how the plan could have been changed. Problem solving Planning I can solve a given problem using only the materials supplied. I can carry out a plan to solve a I can make changes to my plan if the first one doesn't work. Internet Supplemental materials Tape Straw Project Based Problem Solving (D) Simple Project Designs 5/29/2013
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