Week 1
Standards:
A1.FLQE.2 Create symbolic representations of linear and exponential functions, including arithmetic and geometric sequences, given graphs, verbal descriptions, and tables.
A.1.FLQE.5 Interpret the parameters in a linear or exponential function in terms of the context
A1.SPID.7 Create a linear function to graphically model data from a real-world problem and interpret slope and intercepts in the context of the given problem
A1.ACE.2 Graph the equation on coordinate axes using appropriate labels, units, and scales
A1.AREI.10 Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane
Know:
Students will classify scenarios as continuous or discrete
Students will classify graphs as continuous or discrete
Students will be able to analyze graphs
Activity:
Pretest
Notes: Continuous or Discrete
Notes: 1.1 Graphing Relations
Assessment:
Google Worksheets:
Continuous vs Discrete
1.1 Graphing Relations
IXL Q.16
Unit 1 Test
Week 2
Standards:
A1.AAPR.1 Add, Subtract, and multiply polynomials and understand that polynomials are closed under these operations.
A.1.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes
A1.NRNS.1 Rewrite expressions involving simple radicals and rational exponents in different forms
A1.ASE.2 Analyze the structure of binomials, trinomials, and other polynomials in order to rewrite equivalent expressions
A1.ASE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression
A1.FIF.1 Extend previous knowledge of a function to apply to general behavior and features of a function. a. Understand that 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. b. Represent a function using function notation and explain that (𝑥) denotes the output of function 𝑓 that corresponds to the input 𝑥. c. Understand that the graph of a function labeled as f is the set of all ordered pairs (x,y) that satisfy the equation y = f(x).
Know:
Students will be able to represent relations using tables, graphs, mappings, and ordered pairs.
Students will identify Domain and Range of relations from tables, graphs, mappings, and lists of points.
Students will determine if a relation is a function.
Students will determine if a graph is a function
Students will be able to simplify expressions using addition, multiplication, subtraction, and division.
Activity:
Notes: 1.2 Relations
Escape Room: Relations and Functions
Notes: 1.4 Simplifying Expressions
Simplifying Expressions Trail Run Activity
Assessments:
Google Worksheets:
1.2 Relations
1.4 Simplifying Expressions
IXL Q.1 and Q.2
Unit 1 Test
Week 3
Standards:
A1.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.
A1.AREI.1 Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original
A1.AREI.2 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters
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.
Know:
Students will solve a formula for a given variable.
Students will learn how to solve an equation that contains absolute-value expressions.
Activity:
2.1 Soling Linear Equations
Solving Equations Stations Activity
2.2 Solving for a Variable
Solving Literal Equations Escape Room
2.3 Absolute Value
Solving Absolute Value Equations Color by Number
Assessments:
Google Worksheets:
2.1 Solving Linear Equations, 2.2 Solving Literal Equations, 2.3 Absolute Value
IXL J.11
IXL I.11
IXL J.11
Unit 2 Test
Week 4
Standards:
A1.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.
A1.AREI.2 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters
Know:
Students will learn how solve an inequality for a given variable.
Students will learn how to solve an inequality that contains absolute-value expressions
Students will be able to write an inequality given a graph
Students will solve compound inequalities
Students will graph compound inequalities
Students will write compound inequalities given a graph
Activity:
3.1 Graphing and Solving one step inequalities
Solving Inequalities I CAN Activity
3.2 Graphing and Solving Multi Step Inequalities
Solving Multi Step Inequalities Crazy Words
3.3 Solving Compound Inequalities
Compound Inequalities Coloring Activity
Assessments:
Google Worksheets:
3.1 Graphing and Solving Inequalities
3.2 Graphing and Solving Multi Step Inequalities
3.3 Solving Compound Inequalities
IXL K.6
IXL K.10
IXL K.12
IXL K.13
IXL K.14
Unit 3 Test
Week 5
Standards:
A1.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. a) Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
A.1.FLQE.5 Interpret the parameters in a linear or exponential function in terms of the context
A1.ACE.2 Graph the equation on coordinate axes using appropriate labels, units, and scales
A1.SPID.6 Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function of the data set, and use the function to solve problems in context of the data
A1.SPID.8 Using technology, compute and interpret the correlation coefficient of a linear fit
Know:
Students will learn how to identify linear, quadratic, and exponential functions
Students will be able to graph, analyze, and make conjectures based on scatter plots.
Students will be able to graph, analyze, and make conjectures based on linear piecewise functions.
Students will be able to graph, analyze, and make conjectures based on step functions.
Activity:
4.1 Linear, Quadratic, or Exponential
Linear, Quadratic, or Exponential Worksheet
Graphic Organizer
4.2 Piecewise Functions
Special Functions Worksheet
4.3 Scatter Plots
Scatter Plot Activity
Assessments:
Google Worksheets:
4.1 Linear, Quadratic, or Exponential
4.2 Piecewise Functions
4.3 Scatter Plots
IXL DD.2 and DD.4
IXL R.1
IXL MM.8 and MM.13
Unit 4 Test