To use the distributive property within an equation. (A.5.A – The student is expected to solve linear equations with one variable, including distributing. A.10.D – The student is expected to rewrite polynomial expressions of degree one and degree two using the distributive property.)
We Will: Use the distributive property within equations to assist with solving for a variable.
(Teacher led; Big Ideas Textbook link)
* MEAN- Another term for the average of a set of values.
I Will: Execute the distributive property over various equations.
ICE 1.2 [In-Class Examples]
(#3-#43 ODD, Can be found in Google Classroom)
Tue
To solve linear equations with one variable
To use the distributive property within an equation. (A.5.A – The student is expected to solve linear equations with one variable, including distributing. A.10.D – The student is expected to rewrite polynomial expressions of degree one and degree two using the distributive property.)
We Will: Use the distributive property within equations to assist with solving for a variable.
(Teacher led; Big Ideas Textbook link)
* MEAN- Another term for the average of a set of values.
I Will: Execute the distributive property over various equations.
Continued ICE 1.2
(#4-44 EVEN, Can be found in Google Classroom)
Wed
To solve linear equations with one variable
To use the distributive property within an equation. (A.5.A – The student is expected to solve linear equations with one variable, including distributing. A.10.D – The student is expected to rewrite polynomial expressions of degree one and degree two using the distributive property.)
We Will: Evaluate our knowledge and skill of the solving linear equations with order of operations and distribution.
(Quiz, Worksheet in pairs)
* N/A
I Will: Evaluate my current knowledge of solving linear equations with one variable.
1.1 & 1.2 Quiz
Distribution Wksht.
(No HW)
Thu
To solve linear equations with one variable
To use the distributive property within an equation. (A.5.A – The student is expected to solve linear equations with one variable, including distributing. A.10.D – The student is expected to rewrite polynomial expressions of degree one and degree two using the distributive property.)
We Will: Solve equations with variables on both sides of the equal sign.
(Teacher led; Big Ideas Textbook link)
* IDENTITY- An equation that is true for all values of the variable.
I Will: Evaluate equations with variables on both sides of the equal sign by combining like terms, and solving for the variable.
ICE 1.3
(#3-#43 ODD, Can be found in Google Classroom)
Fri
To solve linear equations with one variable
To use the distributive property within an equation. (A.5.A – The student is expected to solve linear equations with one variable, including distributing. A.10.D – The student is expected to rewrite polynomial expressions of degree one and degree two using the distributive property.)
We Will: Solve equations with variables on both sides of the equal sign.
(Teacher led; Big Ideas Textbook link)
* IDENTITY- An equation that is true for all values of the variable.
8A analyze data to select the appropriate model from among linear, quadratic, and exponential models
8B use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data
8C predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models
7C determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two
7D determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods
7E determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping
7F determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two
7G rewrite radical expressions that contain variables to equivalent forms
7H solve equations involving rational exponents
7I write the domain and range of a function in interval notation, inequalities, and set notation
6A analyze the effect on the graphs of f(x) = x³ and f(x) = ³√x when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values of a, b, c, and d
6B solve cube root equations that have real roots
6C analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d
6D formulate absolute value linear equations
6E solve absolute value linear equations
6F solve absolute value linear inequalities
6G analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d
6H formulate rational equations that model real-world situations
6I solve rational equations that have real solutions
6J determine the reasonableness of a solution to a rational equation
6K determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation
6L formulate and solve equations involving inverse variation
5A determine the effects on the key attributes on the graphs of f(x) = b to the x power and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x – c) for specific positive and negative real values of a, c, and d
5B formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation
5C rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations
5D solve exponential equations of the form y = ab to the x power where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions
5E determine the reasonableness of a solution to a logarithmic equation
4A write the quadratic function given three specified points in the plane
4B write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening
4C determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x – c) for specific positive and negative values of a, b, c, and d
4D transform a quadratic function f(x) = ax² + bx + c to the form f(x) = a(x – h)² + k to identify the different attributes of f(x)
4E formulate quadratic and square root equations using technology given a table of data
4F solve quadratic and square root equations
4G identify extraneous solutions of square root equations
3A formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic
3B solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution
3C solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation
3D determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables
3E formulate systems of at least two linear inequalities in two variables
3F solve systems of two or more linear inequalities in two variables
3G determine possible solutions in the solution set of systems of two or more linear inequalities in two variables.
2A The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse.
2B graph and write the inverse of a function using notation such as f-¹ (x);
2C describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range
2D use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.
