Embedded Files
In Algebra 1, students demonstrate fluency by creating, comparing, analyzing, solving, providing multiple representations, and identifying the structures of exponential & quadratic functions building on the understanding of linear functions from grade 8 to apply linear, quadratic and exponential models to data and unfamiliar problems.
Essential Standards
A-APR.A.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.
There are no substandards for this standard.
A-CED.A.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.
There are no substandards for this standard.
A-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
There are no substandards for this standard.
F-IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables,
or by verbal descriptions).
For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
Embed with F-IF.C.9, F-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
a. Graph linear... and show intercepts...
A-REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
There are no substandards for this standard.
A−REI.D.11 Explain 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. Include cases where f(x) and/or g(x) are linear...
There are no substandards for this standard.
Embed with A-REI.D.11, A-REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
There are no substandards for this standard
F-BF.A.1 Write a function that describes a relationship between two quantities.
a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
b. 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.
F-BF.A.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
There are no substandards for this standard
A-REI.4 Solve quadratic equations in one variable.
a. 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.
b. Solve quadratic equations by inspection (e.g., for x^2 = 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.
Embed with A-REI.4, A-REI.1 Explain 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.
There are no substandards for this standard.
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors & Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Achievement Level Descriptors
Achievement Level Descriptors
Evidence
Evidence
Claim 2
Claim 3
Claim 4
Supporting Standards
Embed with F-IF.C.9, F-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
a. Graph linear... and show intercepts...
Embed with A-REI.D.11, A-REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
There are no substandards for this standard
Embed with A-REI.4, A-REI.1 Explain 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.
There are no substandards for this standard.
A-SSE.A.1 Interpret parts of an expression, such as terms, factors, and coefficients.
There are no substandards for this standard
A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it.
There are no substandards for this standard
A-SSE.A.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
a. Factor a quadratic expression to reveal the zeros of the function it defines.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
F-IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
a. 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.
b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as as y=(1.02)^t, y=(.97)^t, y=(1.01)^12t, and y=(1.2)^(t/10), and classify them as representing exponential growth or decay.
Page updated
Report abuse