Embedded Credit – Content Standards and Objectives Alignment Matrix 3052 TRANSITION MATH FOR SENIORS Alignment AR1800 Building Maintenance and Operations Required Courses: 1774 BUILDING MAINTENANCE AND OPERATIONS I 1775 BUILDING MAINTENANCE AND OPERATIONS II 1776 BUILDING MAINTENANCE AND OPERATIONS III 1777 BUILDING MAINTENANCE AND OPERATIONS IV Recommendation that embedded credit be awarded: Yes □ No □ Provide rationale for decision Embedded Credit Course Standards and Objectives Transition Math for Seniors Alignment to Host Course Standards and Objectives Building Maintenance and Operations (NCCER: Construction Technology) Content Alignment How Standards and/or objectives that do not have strong alignment will be delivered Strong Moderate Weak or No
M.TMS.RN.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects 00102-09-1. Add, subtract, multiply, and divide whole numbers, with and without a calculator. Use a standard ruler, a metric ruler, and a measuring tape to measure. 00102-09-3. Add, subtract, multiply, and divide fractions. 00102-09-4. Add, subtract, multiply, and divide decimals, with and without a calculator. 00102-09-5. Convert decimals to percentages and percentages to decimals. 00102-09-8. Recognize and use metric units of length, weight, volume, and temperature. 00102-09-9. Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them. 27104-06-9. Demonstrate or describe how to perform a quantity takeoff for materials. 27106-06-10. Estimate the materials required to frame walls and ceilings. X
M..RN.2 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. . 68101-09-2 Convert measurements stated in feet and inches to equivalent measurements stated in decimal feet, and vice versa. 68101-09-8Record site layout data and information in field notes using accepted practices. X
M.TMS.SSE.2 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. factor a quadratic expression to reveal the zeros of the function it defines. complete the square in a quadratic expression to reveal the maximum or minimum of the function it defines. 68111-09-5 Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. . 68101-09-4. Use manual or electronic equipment and procedures to make distant measurements and perform site layout tasks. 68101-09-9. Check and/or establish 90-degree angles using the 3-4-5 rule. X
M.TMS.ACE.3 Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. 68108-09-3. Identify the methods used to calculate the length of a rafter. 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof. 68111-09-5 Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. X
M.TMS.REI.1 Solve simple rational and radical equations in one variable and give examples showing how extraneous solutions may arise. 68108-09-3. Identify the methods used to calculate the length of a rafter. 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof. 68111-09-5 Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. 68113-09-3: Calculate and select Service-entrance equipment 68113-09-5: Compute branch circuit loads and explain their installation requirements 68113-09-8: Select outlet boxes and select the proper type for different wiring methods X
M.TMS.REI.4 quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. X Utilize instructional and assessment tasks, lesson plans and other resources at Illustrativemathematics.org CORD online resources SREB Transitioning to college and careers Math Ready online computer modules All in conjunction with instructor guided independent study, and research and projects M.TMS.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions 27110-06-5. Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. 27107-06-3. Identify the methods used to calculate the length of a rafter X
M.TMS.IF.7 Describe qualitatively the functional relationship between two quantities by analyzing a graph 27107-06-3. Identify the methods used to calculate the length of a rafter. AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X M.TMS.IF.8 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X M.TMS.IF.9 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X
M.TMS.IF.10 Observe graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X M.TMS.IF.11 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. 27107-06-3. Identify the methods used to calculate the length of a rafter. 27108-06-3. Perform volume estimates for concrete quantity requirements. 27110-06-5. Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. X M.TMS.IF.12 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions) AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X
M.TMS.BF.1 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). (CCSS.Math.Content.HSF-LE.A.2) AR.34 Demonstrate accuracy in calculating and measuring graphical work required to complete career/technical assignments and projects AR.35 Analyze tables, charts, graphs and multiple date sources to complete career/technical assignments and projects X M.TMS.BF.2 a function that describes a relationship between two quantities. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time. 27107-06-3. Identify the methods used to calculate the length of a rafter. Perform volume estimates for concrete quantity requirements. 27110-06-5. Calculate the total rise, number and size of risers, and number and size of treads required for a stairway. 27402-07-1. Perform calculations pertaining to angular measurements: • Use the Pythagorean theorem to determine unknown values. • Use right triangle trigonometry to determine unknown values. • Convert feet and inches to decimal feet, and vice versa. • Convert angular measurements stated in decimal degrees to degrees, minutes, seconds, and vice versa. • Convert azimuth to bearing, and vice versa. • Convert polar to rectangular coordinates, and vice versa. • Convert distance and direction into latitudes and departures. X
M.TMS.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal arguments. 00102-09-9. Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them. Calculate concrete volume requirements for rectangular, cylindrical, or other geometric structures using formulas, concrete tables, and/or concrete calculators, as applicable. 27402-07-1. Perform calculations pertaining to angular measurements: • Use the Pythagorean theorem to determine unknown values. • Use triangle trigonometry to determine unknown values. • Convert feet and inches to decimal feet, and vice versa. • Convert angular measurements stated in decimal degrees to degrees, minutes, seconds, and vice versa. • Convert azimuth to bearing, and vice versa. • Convert polar coordinates to rectangular coordinates, and vice versa. • Convert distance and direction into latitudes and departures. X M.TMS.GMD.2 Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures 27303-07-5. Calculate concrete volume requirements for rectangular, cylindrical, or other geometric structures using formulas, concrete tables, and/or concrete calculators, as applicable. . X
M.TMS.GPE.2 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula 00102-09-9. Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them. Perform calculations pertaining to angular measurements: • Use the Pythagorean theorem to determine unknown values. • Use right triangle trigonometry to determine unknown values. • Convert feet and inches to decimal feet, and vice versa. • Convert angular measurements stated in decimal degrees to degrees, minutes, seconds, and vice versa. • Convert azimuth to bearing, and vice versa. • Convert coordinates to rectangular coordinates, and vice versa. • Convert distance and direction into latitudes and departures. 27402-07-4. Lay out building lines using traditional and radial layout techniques. X