M.TMS.RN.2 Choose 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 1729.1 Design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models. X M.TMS.CNS.1 Solve quadratic equations with real coefficients that have complex solutions. 1729.18 Construct drawings that require geometric constructions ADDA Architectural 10. Floor Plan Layout X M.TMS.SSE.1 Use the structure of an expression to identify ways to rewrite it. For example, see as , thus recognizing it as a difference of squares that can be factored as . 1727.9 Construct pictorial drawings 1729.18 Construct drawings that require geometric constructions ADDA Architectural 7. Site Layout X M.TMS.SSE.2 1727.10 Pattern development X
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 value of the function it defines. 1727.11 Explain techniques and procedures for construction pattern developments 1727.12 Construct pattern development 1729.15 Basic geometric terms and constructions ADDA Architectural 5. Mathematics and Geometry 6. Architectural 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. 1727.9 Construct pictorial drawings 1729.18 Construct drawings that require geometric constructions ADDA Architectural 7. Site Layout X
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 the two moving objects has greater speed. ADDA Architectural 12. Roof Plans 14. Framing 16. Sections, Stairs, Steps X M.TMS.SSE.5 Use similar triangles to explain why the slope m is the same between any two distinct points on a line in the coordinate plane; derive the equation for a line through the origin and the equation for a line intercepting the vertical axis at b. ADDA Architectural 12. Roof Plans 14. Framing 16. Sections, Stairs, Steps X M.TMS.SSE.6 Solve linear equations in one variable. ADDA Architectural 12. Roof 14. Framing X
16. Sections, Stairs, Steps 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. 1727.10 Pattern development 1727.11 Explain techniques and procedures for construction pattern developments 1727.12 Construct pattern development X M.TMS.ACE.1 Create 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. 1727.9 Construct pictorial drawings 1727.10 Pattern development ADDA Architectural 16. Sections, Stairs, 17. Building Codes and Governing Bodies X M.TMS.ACE.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. ADDA Architectural 5. Mathematics and Geometry 10. Floor Plan Layout 16. Sections, Stairs, Steps 17. Building Codes and Governing Bodies X
approximately (e.g. with graphs), focusing on pairs of linear equations in two variables. 10. Floor Plan Layout M.TMS.REI.9 Graph 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 ADDA Architectural 5. Mathematics and Geometry 10. Floor Plan Layout X M.TMS.IF.1 Understand 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 in an element of its domain, them denotes the output of f corresponding to the input x. 1729.18 Construct drawings that require geometric construction 1729.19 Basic CAD commands and techniques 1729.20 Explain basic CAD commands and techniques 1729.23 X
The graph of f is the graph of the equation . Construct a 2D CAD drawing ADDA Architectural 12. Roof Plans 14. Framing M.TMS.IF.2 Write arithmetic and geometric sequences bot recursively and with an explicit formula, use them to model situations, and translate between the two forms. 1727.9 Construct pictorial drawings 1729.15 Basic geometric terms and constructions 1729.18 Construct drawings that require ADDA Architectural 5. Mathematics and Geometry 6. Architectural 7. Site Layout X M.TMS.IF.3 Interpret the parameters in a linear or exponential function in terms of a context. 1727.9 Construct pictorial drawings 1729.15 geometric terms and constructions 1729.18 Construct drawings that require ADDA Architectural X
5. Mathematics and Geometry 6. Architectural 7. Site Layout M.TMS.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. 1727.10 Pattern development 1727.11 Explain techniques and procedures for construction pattern developments 1727.12 Construct pattern development 1729.16 Explain selected geometric terms 1729.18 Construct drawings that require geometric constructions 1729.24 Construct a 3D CAD model X M.TMS.IF.5 Distinguish between situations that can be 1729.15 Basic geometric terms and constructions X
modeled with linear functions and with exponential functions. ADDA Architectural 5. Mathematics and Geometry 6. Architectural 14. Framing M.TMS.IF.6 Interpret the equation as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. 1727.15 Construct working drawings 1729.3 Produce drawings using computer-assisted drafting systems (CAD) or drafting machines, or by hand using compasses, dividers, protractors, triangles and other drafting devices 1729.4 Basic sketching skills and techniques 1729.5 Identify concepts related to sketching 1729.6 Explain concepts related to sketching multi-views and pictorials 1729.9 X
graph, and to interpret these in terms of a context. 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 data sources to complete career/technical assignments and projects. X M.TMS.BF.1 Construct linear and exponential functions, including arithmetic and 1727.9 Construct pictorial drawings 1729.18 X
origin and containing the point . Construct a 2D CAD drawing M.TMS.GPE.2 Use coordinates to compute perimeters and areas of triangles and rectangles, e.g. using the distance formula. 1729.3 Produce drawings using computer-assisted drafting systems (CAD) or drafting machines, or by hand using compasses, dividers, protractors, triangles and other drafting devices ADDA Architectural 7. Site Layout 16. Sections, Stairs, Steps 19. X M.TMS.MG.1 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with topographic grid systems based on ratios). 1729.15 Basic geometric terms and constructions 1729.16 Explain selected geometric terms 1729.18 X
effects of extreme data points (outliers). M.TMS.SPI.7 Summarize categorical data for two categories in frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. 1727.15 Construct working drawings 1729.3 Produce drawings using computer-assisted drafting systems (CAD) or drafting machines, or by hand using compasses, dividers, protractors, triangles and other drafting devices 1729.4 Basic sketching skills and techniques 1729.5 Identify concepts related to sketching 1729.6 Explain concepts related to sketching and pictorials 1729.9 Construct a multi-view sketch 1729.15 X