EmbeddedCredit– ContentStandardsandObjectivesAlignmentMatrix

TeachersandAdministratorswhocompletedthematrix: Ryan Dearman

Recommendationthat embeddedcredit beawarded: Yes□No □Providerationalefordecision

EmbeddedCreditCourseStandardsandObjectives
Transition Math
for Seniors / Alignment to Host CourseStandardsandObjectives
Building Maintenance and Operations (NCCER: Construction Technology) / ContentAlignment / HowStandardsand/orobjectivesthat donot havestrongalignmentwillbedelivered
StrongAlignment / ModerateAlignment / WeakorNoAlignment
M.TMS.RN.1Use 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.
00102-09-2.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. / X
M.TMS.RN.1Use 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. / 68106-09-12: Estimate the amount of material needed to frame a floor assembly.
68110-09-3: Demonstrate lap and panel siding estimating methods.
68102-09-3: Perform volume estimates for concrete quantity requirements.
68105-09-6: Perform the following basic .
Read and interpret bar lists and describe the information found on a bar list.
68101-09-7: Use a builder’s level and differential leveling procedures to determine site and building elevations
68101-09-9. Check and/or establish 90-degree angles using the 3-4-5 rule. / X
M.TMS.RN.1Use 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. / 68101-09-4. Use manual or electronic equipment and procedures to make distant measurements and perform site layout tasks.
68101-09-7. Use a builder’s level and differential leveling / X
M.TMS.RN.2Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. / 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
68108-09-5. Use a rafter framing square, speed square, and calculator in laying out a roof.
68102-09-3. Perform volume estimates for concrete quantity requirements.
68107-09-10: Estimate the materials required to frame walls and ceilings / X
M.TMS.RN.2Choose 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.CNS.1Solve quadratic equations with real coefficients that have complex solutions. / 68101-09-1. Use manual or electronic equipment and procedures to make distant measurements and perform site layout tasks.
68101-09-6. Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them.
68101-09-9Check and/or establish 90-degree angles using the 3-4-5 rule / X
M.TMS.SSE.1 Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2) (x2 + y2). / 00102-09-9. Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them.
.
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.SSE.2Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
  1. factor a quadratic expression to reveal the zeros of the function it defines.
  2. complete the square in a quadratic expression to reveal the maximum or minimum value 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.SSE.3 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. / 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 ex-classroom research and projects
M.TMS.SSE.4 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. / 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
68108-09-3. Identify the methods used to calculate the length of a rafter.
6811-09-5: Calculate the total rise, number and size of risers, and number and size of treads required for a stairway.
68111-09-6. Lay out and cut stringers, risers, and treads. / X
M.TMS.SSE.5 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. / 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.
68111-09-6. Lay out and cut stringers, risers, and treads. / X
M.TMS.SSE.6 Solve linear equations in one variable. / 00102-09-3Add, subtract, multiply, and divide fractions.
00102-09-4Add, subtract, multiply, and divide decimals, with and without a calculator.
00102-09-5Convert decimals to percentages and percentages to decimals.
00102-09-6Convert fractions to decimals and decimals to fractions.
00102-09-7. Explain what the metric system is and how it is important in the construction trade.
00102-09-8Recognize 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.
68106-09-12 Estimate the amount of material needed to frame a floor assembly.
68107-09-10: Estimate the materials required to frame walls and ceilings.
68108-09-5:. Use a rafter framing square, speed square, and calculator in laying out a roof. / X
M.TMS.APR.1Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials. / 00102-09-1. Add, subtract, multiply, and divide whole numbers, with and without a calculator.
00102-09-2.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. / X
M.TMS.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract and multiply polynomials. / 68102-09-3:Perform Volume estimates for concrete quantity requirements
68101-09-2: Convert measurements stated in feet and inches to equivalent measurements stated in decimal feet, and vice versa. / X
M.TMS.ACE.1Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions and simple rational and exponential functions. / 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.
68102-09-3:Perform Volume estimates for concrete quantity requirements / X
M.TMS.ACE.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. / 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
68108-09-3. Identify the methods used to calculate the length of a rafter. / 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.ACE.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. / 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.1Solve 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.2Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. / 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.3Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. / 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
68116-09-6: Properly measure, cut, and join plastic piping / X
M.TMS.REI.4Solve 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 ex-classroom 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 / 68108-09-3. Identify the methods used to calculate the length of a rafter. / X
M.TMS.REI.6Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. / 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment
68113-09-5: Compute branch circuit loads and explain their installation requirements
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
68108-09-3. Identify the methods used to calculate the length of a rafter. / X
M.TMS.REI.7Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. / 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment
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.REI.8Solve systems of linear equations exactly and approximately (e.g. with graphs), focusing on pairs of linear equations in two variables / 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment
68113-09-5: Compute branch circuit loads and explain their installation requirements
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
68108-09-3. Identify the methods used to calculate the length of a rafter. / X
M.TMS.REI.9Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality) and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes / 68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment
68113-09-5: Compute branch circuit loads and explain their installation requirements
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
68108-09-3. Identify the methods used to calculate the length of a rafter. / X
M.TMS.IF.1Understand a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). / 68106-09-5: Given specific floor load and span data, select the proper girder/beam size from a list of available girders/beams
68108-09-7: Given specific floor load and span data select the proper joist size from a list of available joists
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.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment
68113-09-5: Compute branch circuit loads and explain their installation requirements
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.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms / 68101-09-5: Determine approximate distances by pacing
68108-09-10: Estimate the materials used in framing and sheathing a roof
00102-09-8: Recognize and use metric units of length, weight, volume, and temperature / X
M.TMS.IF.3 Interpret the parameters in a linear or exponential function in terms of a context. / 68101-09-5: Determine approximate distances by pacing
68108-09-10: Estimate the materials used in framing and sheathing a roof
00102-09-8: Recognize and use metric units of length, weight, volume, and temperature
68108-09-5 Use a rafter framing square, speed square, and calculator in laying out a roof.
68110-09-3: Demonstrate lap and panel siding estimates
68113-09-3: Calculate and select service-entrance equipment