Week 1
Standards:
A2.ACE.3 Use systems of equations and inequalities to represent constraints arising in real-world situations. Solve such systems using graphical and analytical methods, including linear programming. Interpret the solution within the context of the situation
A2.ACE.4 Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.
A2.FBF.1.a Write a function that describes a relationship between two quantities. Write a function that models a relationship between two quantities using both explicit expressions and a recursive process and by combining standard forms using addition, subtraction, multiplication, and division to build new functions
A2.FIF.2 Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the context when the function describes a real-world situation
Know:
Students will evaluate expressions.
Students can evaluate expressions by plugging in unknown values.
Students will understand the real number system and the properties of real numbers
Students will be able to analyze numbers to classify them within the real number system
Students will examine equations to determine the properties that make the equation true.
Activity:
1.1 Expressions and Formulas
1.2 Properties of Real Numbers
Graphic Organizer Real Number System
Graphic Organizer Properties of Real Numbers
Assessments:
Google Worksheets:
1.1 Expressions and Formulas
1.2 Properties of Real Numbers
IXL A.1 and A.3
IXL H.2
Unit 1 Test
Week 2
Standards:
A2.ACE.4 Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.
A2.AAPR.1 Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.
A2.AAPR.3 Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations.
A2.ACE.1 Create and solve equations and inequalities in one variable that models real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
A2.ACE.1* Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
Know:
Students will learn how to solve an equation for a given variable that contain one or more operation and that contain variables terms on both sides.
Students will solve a formula for a given variable.
Students will write expressions to represent verbal expressions.
Students will learn how to solve an equation that contains absolute-value expressions.
Students will learn how to solve and graph an inequality.
Activity:
1.3 Solving Equations
Escape Room Actrivity: Solving Literal Equations
1.4 Solving Absolute Value Equations
Absolute Value Color by Number
1.5 Solving Inequalities
Solving Multi Step Inequalities Crazy Words Activity
Assessments:
Google Worksheets:
1.3 Solving Equations
1.4 Solving Absolute Value Equations
1.5 Solving Inequalitites
IXL B.1 and B.6
IXL B.4
IXL C.4
Unit 1 Test
Week 3
Standards:
A2.FIF.5* Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.
A2.FIF.6* Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context.
A2.FLQE.1* Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval.
Know:
Students will learn how to identify the domain and range of a relation.
Students will determine if a relation is a function.
Students will evaluate functions.
Students will determine if relations are linear.
Students will convert equations into standard form and identify A, B, and C
Students will identify x and y - intercepts
Activity:
2.1 Relations and Functions
Relations and Functions Escape Room Activity
2.2 Linear Relations and Functions
Assessments:
Google Worksheets:
2.1 Relations and Functions
2.2 Linear relations and functions
IXL D.1, D.2, and D.3
Unit 2 Test
Week 4
A2.FIF.5* Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.
A2.FIF.6* Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context.
A2.FLQE.1* Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval
Know:
Students will graph scatter plots and find lines of regression
Students will predict outcomes based on scatter plots and lines of regression
Activity:
2.5 Scatter Plots and Line of Regression
Scatter Plot Activity
2.6 Special Graphs
Roller Coaster Activity
Unit 2 Test
Assessments:
Google Worksheets:
2.5 Scatter Plots and Line of Regression
Piecewise Function Worksheet
Unit 2 Test
Week 5
Standards:
A2.ACE.3 Use systems of equations and inequalities to represent constraints arising in real-world situations. Solve such systems using graphical and analytical methods, including linear programming. Interpret the solution within the context of the situation. (Limit to linear programming.)
A2AREI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. Understand that such systems may have zero, one, two, or infinitely many solutions. (Limit to linear equations and quadratic functions.)
A2.FIF.9 Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal.
A2.ACE.1* Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
Know:
Students will solve a system of equations using substitution, elimination, and graphing.
Students will write and solve real world problems involving systems of equations.
Students will graph systems of inequalities.
Students will determine solutions of systems of inequalities
Activity:
3.1a Solving Systems by Graphing
3.1b Solving Systems by Substitution
3.1c Solving Systems by Elimination
3.1 Solving Systems Any Method
Whodunnit Systems
3.2 System of Inequalities
System of Inequalities Pixel Art
Assessments:
Google Worksheets:
2.1 Solving Systems by Graphing
2.2 Solving Systems by Substitution
2.3 Solving Systems by Elimination
3.1 Solving Systems
IXL E.2
IXL E.6
IXL E.8
IXL E.10
IXL F.1
Unit 3 Test
Week 6
Standards
A2.FIF.9 Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal.
A2.ACE.1* Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable.
A2.ASE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (Note: A2.ASE.3b and 3c are not Graduation Standards.)
b. Determine the maximum or minimum value of a quadratic function by completing the square. .
A2.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.
A2.FIF.7 Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases.
Know:
Students will learn how to add and subtract matrices.
Students will learn how to perform scalary multiplicaiton on matrices
Students will identify vertex, axis of symmetry, y-intercept, x-intercept, concavity, and max/min of quadratics.
Students will use their understanding of parts of quadratics to graph quadratics
Activity:
3.5 Matrices
Matrices Activity
Unit 3 Test
4.1 Graphing Quadratics
Stained Glass Window Activity
Quadratic Doodle Notes
Assessments:
Google Worksheets:
3.5 Matrices
4.1 Graphing Quadratics
IXL G.3 and G.5
IXL K.1
IXL K.5
IXL K.15
Unit 4 Test