GRADE LEVEL CONTENT AREA Essentials Guide QUARTER Theme: TYPE THEME HERE Essential Question: TYPE ESSENTIAL QUESTION HERE

Skills and Content

Standards

Key Vocabulary

Resources

Assessments

Essentials 21st Century Skills

Important to Know and Do

write and graph using slope intercept form

F.IF.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 quadratic functions and show intercepts, maxima, and minima.

direct variation, linear equation, parent function, point-slope form, rate of change, slope, slope-intercept form, y-intercept

5a

best fit line

S.ID.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or chosse a function suggested by the context. Emphasize linear and exponential models.
b. Informally assess the fit of a function by plotting and analyzing residuals.
c. Fit a linear function for a scatter plot that suggests a linear association.

correlation coefficient, line of best fit, parallel lines, perpendicular lines, scatter plot, standard form, trend line, x-intercept

5b

solve systems of equations

A.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.
A.REI.6 Solve systems of linear equations exactly and approximately (e.g. with graphs), focusing on pairs of linear equations in two variables.
A.REI.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.

elimination method, solution of a system of linear equations, substitution method, system of linear equations

6a

represent and solve inequalities

A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality0, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

linear inequality, solution of an inequality, solution of a system of linear inequalities, system of linear inequalities

6b

model esponential growth and decay

F.LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.
b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
a. Interpret parts of an expression, such as terms, factors, and coefficients.
A.APR.1 Understand that polynomials form a system analogous to integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

binomial, degree of a monomial, degree of a polynomial, monomial, polynomial, standard form of a polynomial, trinomial

8a

factor expressions

A.SSE.3 Choose and produce an equivalent form of an expession to reveal and explain properties of the quantity represented by the expression.
a. Factor a quadratic expression to reveal the zeros of the funciton it defines.

difference of two squares, factoring by grouping, perfect-square trinomial

Theme: TYPE THEME HERE

Essential Question: TYPE ESSENTIAL QUESTION HERE

Skills and ContentStandardsKey VocabularyResourcesAssessmentsEssentials21st Century SkillsImportant to Know and Doa. Graph linear and quadratic functions and show intercepts, maxima, and minima.

a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or chosse a function suggested by the context. Emphasize linear and exponential models.

b. Informally assess the fit of a function by plotting and analyzing residuals.

c. Fit a linear function for a scatter plot that suggests a linear association.

A.REI.6 Solve systems of linear equations exactly and approximately (e.g. with graphs), focusing on pairs of linear equations in two variables.

A.REI.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.

b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

a. Interpret parts of an expression, such as terms, factors, and coefficients.

A.APR.1 Understand that polynomials form a system analogous to integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

a. Factor a quadratic expression to reveal the zeros of the funciton it defines.