Prerequisites: Successful completion of 8th grade Math or Foundations for Algebra.
Students starting this Algebra 1 course are expected to have successfully completed Math 8, the math course children take in grade 8. This course is broken down into four (4) areas called Units.
1. Linear Equations and Functions
2. Exponential Equations and Functions
3. Quadratic Equations and Functions
5. Special Nonlinear Functions
These areas aim to build on and extend students’ understanding of 8th grade mathematics with the view of establishing a strong foundation for successful completion of Geometry, Algebra 2, and other math courses taught later in high school.
INTRODUCTION:
It is advised that to understand the content shared on this site, it is necessary to continuously practice on a daily basis. This requires serious dedication on the part of the student. Each student should dedicate study time for his/her mathematics class. Possible hints for success in this course class include:
attending class daily,
asking questions in class, and
thoroughly completing all homework problems with detailed solutions as soon as possible after each class session.
INSTRUCTOR INFORMATION:
Name:
E-Mail Address:
Planning Time:
Phone Number:
CLASS MEETS: Virtually
CALCULATORS: Desmos graphing calculator.
GRADING:
Algebra 1 Mathematics
The goal of grading and reporting is to provide the students with feedback that reflects their progress towards the mastery of the content standards found in the Algebra 1 Curriculum Framework Progress Guide.
Lesson Objectives
Lesson U1a-1: Determine the input value that produces the same output value for two functions from a table or graph.
Lesson U1a-2: Explain the steps used to solve a one-variable linear equation having the variable on one side only.
Lesson U1a-3: Solve one-variable linear equations having the variable on one side only, pointing out solutions that are viable or not viable in a modeling context.
Lesson U1a-4: Create one-variable linear equations, having the variable on one side only, to model and solve problems.
Lesson Objectives
Lesson U1b-5: Explain the steps used to solve a one-variable linear equation having the variable on both sides.
Lesson U1b-6: Solve one-variable linear equations having the variable on both sides using tables, graphs, or algebra, pointing out solutions that are viable or not viable in a modeling context.
Lesson U1b-7: Create one-variable linear equations, having the variable on both sides, to model and solve problems.
Lesson Objectives
Lesson U1c-8:Solve one-variable linear equations involving the distributive property.
Lesson U1c-9: Determine if a one-variable linear equation has zero, one, or infinite solutions.
Lesson U1c-10: Create one-variable linear equations involving the distributive property to model and solve problems.
Lesson Objectives
Lesson U1d-11: Rearrange a literal equation to highlight a quantity of interest and use it to solve problems.
Lesson Objectives
Lesson U1e-12: Explain the steps used to solve a multistep one-variable linear inequality.
Lesson U1e-13: Solve multistep one-variable linear inequalities.
Lesson U1e-14: Graph the solution sets of one-variable linear inequalities.
Lesson Objectives
Lesson U1f-15: Explain the steps used to solve a multistep one-variable linear inequality.
Lesson U1f-16: Solve multistep one-variable linear inequalities.
Lesson U1f-17: Graph the solution sets of one-variable linear inequalities.
Lesson Objectives
Lesson U1g-18: Describe a quantitative relationship shown in a table or graph, including graphs without scales.
Lesson U1g-19: Interpret a graph given with or without a scale to determine the quantitative relationship it describes.
Lesson Objectives
Determine the domain and range of a functional relationship given in a mapping diagram, table, graph, or scenario.
Analyze a mapping diagram, table, graph, or scenario to recognize functional relationships.
Lesson Objectives
Interpret function notation that models a real-world situation.
Identify the input and output of a functional relationship, pointing out constraints on the domain and range.
Use function notation to represent a functional relationship
Lesson Objectives
Use the graph of a function to determine the key aspects, using interval notation where applicable.
Lesson Objectives
Given a table of values for a continuous function, make predictions about the key features of the graph of the function.
Lesson Objectives
Analyze a function represented by an equation, table, or graph to determine the output when given the input, and vice versa.
Find input and output values of two functions graphed in the same coordinate plane.
Write the inverse of a given linear function.
Lesson Objectives
Calculate the rate of change of a function and, if constant, the initial value of the function.
Determine if a relationship is linear by analyzing the rate of change.
Calculate the rate of change of a function and, if constant, the initial value of the function.
Lesson Objectives
Construct a table of values and a graph for a two-variable linear equation that models a situation, pointing out solutions that are viable or not viable based on the context.
Write a two-variable linear equation to model a quantitative relationship, describing the constraints of the model based on the context.
Interpret graphs and rates by examining the quantities represented by each axis.
Lesson Objectives
Identify if the slope of a linear relationship is zero, positive, negative, or undefined.
Determine the slope of a line from a graph, table of values, or ordered pairs.
Interpret slope in the context of real-world scenarios.
Lesson Objectives
Write the equation of a line given its slope and a point on the line in point-slope form, and express the relationship as a function.
Graph a line given its equation in point-slope form, identifying the slope and intercepts.
Lesson Objectives
Identify the slope and y-intercept of a linear function, and use them to graph the function.
Write a linear function, in slope-intercept form, for a given relationship.
Analyze how a change in a parameter of a linear function affects its graph or the scenario it represents.
Lesson Objectives
Write two-variable linear equations in different forms using varying pieces of information about the relationships.
Use linear models to solve problems.
Write two-variable linear equations in different forms using varying pieces of information about the relationships.
Lesson Objectives
Lesson Objectives
Lesson Objectives