MUSTANG MATHLETES
ALGEBRA I
ALGEBRA I
COURSE DESCRIPTION:
Students in Algebra I formalize and extend the mathematics they learned in middle school. Students explore systems of equations and inequalities and find and interpret their solutions. Students learn to see structure in quadratic and exponential expressions. Students deepen their understanding of functions and deepen their ability to represent, interpret and communicate about them. Students also apply mathematics to real-world problems using newly discovered skills.
UNITS:
Unit 1: One-variable Statistics Unit 2: Linear Equations, Inequalities, and Systems
Unit 3: Two-variable Statistics Unit 4: Functions Unit 5: Introduction to Exponential Functions
Unit 6: Introduction to Quadratic Functions Unit 7: Quadratic Equations
REQUIRED MATERIALS:
Students must come to class every day with their Chromebook (charged), notebook, and a pencil. Calculators are available for them to use, but if they have their own, that is highly encouraged to use.
EXPECTATIONS:
Students will be in their seats when the bell rings, ready to begin class.
Students will bring the required materials and appropriate assignments to class every day.
Students will be respectful of their peers, their environment, themselves, and their teacher.
Students will put their best effort into each assignment and task.
Students will ask questions when they do not understand something.
GOOGLE CLASSROOM:
On Google Classroom, you will be able to find all important assignments, rubrics, and announcements for class. If you ever have any questions about when something is due or what the assignment is, check Google Classroom first. I would like to see Google Classroom used as a way to get help on homework. Students have the ability to post questions they might have and other students, or myself, are welcome to respond.
TECHNOLOGY:
Cell phones and Chromebooks are not to be used during class unless permission is given. If cell phones are out during class at inappropriate times, they will be taken by myself and the student will be able to pick it up at the end of the school day.
GRADING:
Homework - Must either be ready to turn in via paper copy or uploaded to Google Classroom each day before class begins. Homework will be graded on completeness.
There will be a public speaking component each quarter that will also go under homework as well. Students will be required to go to the board throughout the quarter, 1-3 times to show work and explain their thinking behind their process.
Common Formative Assessment (CFA) - Includes anything I collect that is not put into the grade book. These are used to check understanding and help determine how we spend our time in class.
Summative Assessment (Test/Projects) - A summative assessment will happen at the end of each unit.
Accountability - This category is designed to reflect whether or not a student has turned in assignments or projects for a course by the specific deadline.
Accountability = 10% of grade
Homework = 10% of grade
CFAs = 25% of grade
SUMMATIVE ASSESSMENTS(Tests/Projects) = 55% of grade
LATE WORK:
Homework can be turned in at any time up until the end of the quarter. If homework is not turned in by the end of the quarter, then it will be marked as a zero. If projects are late, students will be required to come to my room before school/after school until it is finished. If you turn in late work, you can still receive full credit on the assignment, but you will not receive your accountability point.
RETAKES:
All Summative Assessments and CFAs are eligible for retakes up to two weeks from the date the Test/CFA have been returned to the students. In order to retake something, students must thoroughly complete the problems/sections that they have missed on a separate sheet of paper. They also have to have all their homework completed from that Unit. Once the problems have been corrected accurately and homework is turned in, students will have one opportunity to complete similar problems to the ones they missed for up to 100% credit back.
UPDATES:
If this syllabus needs to be updated for any reason, students will be notified of the update in class and an announcement will be posted on Google Classroom.
Power Standards (Boulders)
Learning Targets (Rocks)
Algebra basics
Learning Targets
Create and solve linear expressions, equations, and functions
A.CED.1
AREI.3
A.REI.10
A.SSE.1a
A.SSE.1b
A.SSE.2
F.IF.1
F.IF.20o
F.IF.4
I can create verbal and algebraic expressions
I can create equations from a verbal expression
I can solve expressions using Order of Operations
I can recognize the properties of equality and identity.
I can recognize the Commutative and Associative Properties.
I can use the Distributive Property to evaluate expressions.
I can solve equations with one variable.
I can solve equations with two variables.
I can interpret graphs of relations.
I can determine whether a relation is a function.
I can find function values.
I can interpret intercepts, and symmetry of graphs of functions.
I can interpret positive, negative, increasing, and decreasing behavior, extrema, and end behavior of graphs of functions.
Solving linear equations
Learning Targets
Create and solve equations of one variable, justifying the thought process around each step.
A.CED.1
A.CED.4
A.REI.1
A.REI.3
N.Q.1
I can solve one step linear equations
I can solve one step linear equations using the reciprocal
I can solve multi-step linear equations
I can solve multi-step linear equations involving parentheses
I can solve linear absolute value equations
I can evaluate ratios and proportions
I can evaluate percent of change
I can use literal equations and dimensional analysis to help solve linear equations
Forms of equations
Learning Targets
Graph linear functions. Use the graphs to determine solutions, while exploring different ways to write the equations using slope, and intercepts.
A.REI.10
F.BF.1a
F.BF.1b
F.IF.2
F.IF.4
F.IF.6
F.IF.7a
F.LE.1a
F.LE.2
S.ID.7
I can graph standard form Ax+By=C
I can examine slope and intercepts.
Write Equations in Slope-Intercept Form (SIF)
Write Equations in Point-Slope Form (PSF)
Translate one form into another
I can graph slope intercept form
y=mx+b
I can write an equation for a line that passes through a given point, parallel to a given line.
I can write an equation for a line that passes through a given point, perpendicular to a given line.
Investigate relationships between quantities by using points on a scatter plot.
Use lines of fit to make and evaluate predictions.
Inequalities
Learning Targets
Solving linear inequalities and systems of linear inequalities
A.CED.1
A.CED.3
A.REI.3
A.REI.10
A.REI.11
A.REI.12
I can solving linear inequalities involving addition and subtraction
I can solve linear inequalities involving multiplying and dividing of positive and negative
I can solve multi-step inequalities
I can solve compound inequalities
I can solve absolute values inequalities
I can graph systems of inequalities
Systems of equations
Learning Targets
Solving systems of linear equalities by graphing all given equations, substituting one equation for a variable in another, or eliminating a variable through addition, subtraction, and multiplication
I can solve solve systems by graphing
I can solve systems through substitution
I can solve systems through elimination
I can solve systems involving multiplication through elimination
Exponents and Exponential Functions
Learning Targets
Simplify and perform operations on expressions involving exponents.
Extend the properties of integer exponents to rational exponents
Use scientific notation
Graph and use exponential functions.
A.SSE.2
F.IF.3
F.IF.8b
F.BF.2
N.RN.1
N.RN.2
F.LE. 1abcc
F.LE.2
I can multiply monomials using properties of exponents.
I can divide monomials using properties of exponents.
I can simplify expressions containing negative and zero exponents.
I can rewrite and evaluate expressions involving rational exponents.
I can multiply or divide numbers expressed in scientific notation.
I can graph exponential functions
I can solve problems involving exponential growth, such as compound interest, and exponential decay
Quadratic Equations
Learning Targets
Performing operations on polynomials.
Solving quadratics.
A.APR.1
A.SSE.1a,
A.SSE.2
A.SSE.3a
A.REI.1
A.REI.4b
I can add and subtract polynomials
I can multiply a polynomial by a monomial
I can multiply a polynomial by a polynomial (FOIL)
(Special Products)
I can factor polynomials
I can factor polynomials by grouping
I can solve polynomials
I can graph quadratic equations
I can graph transformations of quadratic equations.
I can solve quadratic equations by completing the square.
I can solve quadratic equations using the quadratic formula