# Math 4 SYLLABUS

### SREB: College Ready Course

SREB COLLEGE READY ONLINE TEXT

MATHREADY ONLINE STUDENT EDITION PDF

## RULES AND REGULATIONS

*REMEMBER TO ALWAYS BE PROMPT, BE PREPARED, BE POLITE, AND BE POSITIVE!*

**BE PROMPT**!

- REMEMBER IN EXCESS OF THREE TARDIES YOU MUST MAKE UP TIME IN MY CLASSROOM PROMPTLY.
- REMEMBER IN EXCESS OF 5 ABSENCES YOU MUST MAKE UP TIME IN MY CLASSROOM PROMPTLY. YOU ARE RESPONSIBLE TO CHECK YOUR SYLLABUS AND COMPLETE MISSED ASSIGNMENTS AND NOTES WITHIN THREE SCHOOL DAYS FOLLOWING ABSENCE. IF YOU ARE ABSENT ON A TEST OR QUIZ DAY, YOU WILL TAKE IT THE DAY YOU RETURN FROM 3:00 TO 4:00. i WILL NOT REMIND YOU. I WILL SIMPLY PLACE A ZERO INTO GRADE BOOK.
- REMEMBER TO BE ON TIME WHEN TURNING IN ASSIGNMENTS AND PROJECTS. ONE
*CLASS PERIOD LATE OR BEYOND*WILL RESULT IN A 30 POINT DEDUCTION FOR EACH DAY LATE. I WILL NOT EXCEPT ANY WORK PAST THREE DAYS, INSTEAD YOU WILL RECEIVE A ZERO.

**BE PREPARED!**

- REMEMBER YOU ARE TO BE IN YOUR SEAT WITH MATERIALS AND READY TO WORK WHEN CLASS TIME BEGINS. (NOT WALKING IN THE DOOR)
- PLEASE DO NOT BRING BACKPACKS INTO MY CLASSROOM. BRING YOUR NOTEBOOK, PENCIL (NO PENS), PAPER, CALCULATOR (IF YOU HAVE ONE), ASSIGNMENTS, PROJECTS, AND EAR BUDS.

**BE POLITE!**

- PLEASE DO NOT INTERPRET OTHERS WHEN THEY ARE SPEAKING IN CLASS.
- PLEASE LISTEN TO OTHERS WHEN PRESENTING OPINIONS, QUESTIONS, AND EXPLANATIONS.
- PLEASE REMEMBER TO CONSIDER OTHERS FEELINGS BEFORE YOU SPEAK.

**BE POSITIVE!**

- PLEASE ATTEMPT TO PORTRAY A POSITIVE ATTITUDE IN CLASS WITH BOTH THE TEACHER AND FELLOW STUDENTS.

## GRADING POLICY FOR MATH 4 (SREB)

*GRADING SCALE 100-90: A, 80-89: B, 70-79: C, 60-69: D, BELOW 60: F*

**MATH 4 SREB**

PRACTICE APPLICATIONS 30%

QUIZZES 25%

TESTS 35%

## UNIT 1: ALGEBRAIC EXPRESSIONS (JAN. 26-FEB 5 APPROXIMATELY 9 DAYS)

The algebraic expressions unit was designed to solidify student understanding of expressions while providing the students with an opportunity to have success early in the course. The recurring them integrated in this unit focuses on engaging students using and expanding the concepts found within purposefully chosen activities. Through guided lessons, students will manipulate, create and analyze algebraic expressions and look at the idea of whether different sets of numbers are closed under certain operations. The writing team selected content familiar to the students in this unit to build student confidence and to acclimate students to the course’s intended approach to instruction.

SREB LESSONS

- LESSON 1: NUMBERS AND ESTIMATION
- LESSON 2: INTERESTING EXPRESSIONS
- LESSON 3: READING AND EVALUATING
- LESSON 4: COMPARING EQUIVALENT EXPRESSIONS
- LESSON 5: CONSTRUCTING EQUIVALENT EXPRESSIONS
- LESSON 6: DISTRIBUTIVE PROPERTY
- LESSON 7: INTERPRETING ALGEBRAIC EXPRESSIONS

ACT PREP Coach Lessons

- LESSON 1: COMPARE REAL NUMBERS
- LESSON 2: EXPONENTS
- LESSON 3: COMPUTE WITH REAL NUMBERS
- LESSON 4: RATIOS, PROPORTIONS, AND PERCENTS
- LESSON 5: DIRECT AND INVERSE VARIATIONS
- LESSON 6: SOLVE PROBLEMS WITH MATRICES
- LESSON 7: LOGARITHMS
- LESSON 8: COMPLEX NUMBERS
- LESSON 9: USE NUMBER THEORY TO SOLVE PROBLEMS
- LESSON 10: MATH IN THE REAL WORLD

## UNIT 2: EQUATIONS (FEB. 8-FEB. 16 APPROXIMATELY 7 DAYS)

The equations unit calls for students to construct and evaluate problems that involve one or two steps while seeking understanding of how and why equations and inequalities are used in their daily lives. Students are also asked to use the structure of word problems and equations to rewrite and solve equations in different forms revealing different relationships.

SREB LESSONS

- LESSON 1: CONSTRUCTING EXPRESSIONS AND EQUATIONS
- LESSON 2: THE STRUCTURE OF EQUIVALENT EXPRESSIONS AND EQUATIONS
- LESSON 3: SORTING EQUATIONS AND IDENTITIES
- LESSON 4: RECONSTRUCTING EQUATIONS
- LESSON 5: INEQUALITIES

ACT PREP Coach Lessons

- LESSON 19: LINEAR EQUATIONS
- LESSON 20: GRAPHS OF LINEAR EQUATIONS
- LESSON 21: SOLVE LINEAR EQUATIONS
- LESSON 22: LINEAR INEQUALITIES
- LESSON 23: ABSOLUTE VALUE FUNCTIONS

## UNIT 3: MEASUREMENT AND PROPORTIONAL REASONING (FEB 17- MAR 4 APPROXIMATELY 12 DAYS)

This unit deals with unit conversions, using proportions for scaling, and area and volume. It requires higher-order thinking and number sense in order to get to the true intent of the standards covered. It is useful in helping students make connections with math and science or other subjects

SREB LESSONS

- LESSON 1: NUMBER SENSE AND UNITS
- LESSON 2: NUMBER SENSE AND RATIOS
- LESSON 3: NUMBER SENSE AND PROPORTIONS
- LESSON 4: NUMBER SENSE AND SCALING
- LESSON 5: AREA AND PERIMETER
- LESSON 6: MAXIMIZING AREA AND PERIMETER
- LESSON 7: COORDINATE CONNECTIONS
- LESSON 8: AREA, SURFACE AREA, AND VOLUME
- LESSON 9: EVALUATING STATEMENTS ABOUT ENLARGEMENTS
- LESSON 10: CALCULATING VOLUMES OF COMPOUND OBJECTS

ACT PREP Coach Lessons

- LESSON 11: CONVERT RATES AND MEASUREMENT
- LESSON 12: INTERIOR AND EXTERIOR ANGLE OF A POLYGON
- LESSON 13: PERIMETER AND AREA OF POLYGONS
- LESSON 14: PARTS OF A CIRCLE
- LESSON 15: ARCS AND SECTORS
- LESSON 16: SURFACE AREA AND VOLUME
- LESSON 17: CHANGES IN PARAMETERS OF FIGURES
- LESSON 18: SIMILAR FIGURES

## UNIT 4: LINEAR FUNCTIONS (MAR. 7-MAR. 17 APPROXIMATELY 9 DAYS)

This unit takes students back to the foundation of all high school mathematics—an in-depth study of linear functions. Along with allowing students to differentiate between relations that are functions and those that are not, the unit helps students specifically examine characteristics of linear functions. By looking closely at linear functions in multiple forms, students are expected to graph and write equations, as well as interpret their meaning in context of the slope and y-intercept. Students conclude with a project allowing them to collect their own data and write a line of best fit from that data.

SREB LESSONS

- LESSON 1: LINEAR AND NONLINEAR FUNCTIONS
- LESSON 2: COMPARING PROPORTIONAL RELATIONSHIPS
- LESSON 3: LINEAR EQUATIONS IN CONTEXT
- LESSON 4: WRITING EQUATIONS OF LINES
- LESSON 5: LINES AND LINEAR EQUATIONS
- LESSON 6: APPLICATIONS OF LINEAR FUNCTIONS
- LESSON 7: PREDICT TIME AND COST EQUATIONS

## UNIT 5: LINEAR SYSTEMS (MAR 18- APRIL 13 APPROXIMATELY 13 DAYS)

The systems unit deals with solving systems of linear equations. This involves helping students classify solutions (one, none or infinitely many), as well as set up and solve problems using systems of equations. This unit also asks students to choose the best way to solve a system of equations and be able to explain their solutions.

SREB LESSONS

- LESSON 1: SOLVING SYSTEMS OF EQUATIONS
- LESSON 2: CLASSIFYING SOLUTIONS
- LESSON 3: APPLICATIONS OF SYSTEMS OF LINEAR EQUATIONS
- LESSON 4: WRITING CONSTRAINT EQUATIONS FOR CONTEXT
- LESSON 5: DEFINING REGIONS USING INEQUALITIES
- LESSON 6 LINEAR PROGRAMMING

ACT PREP Coach Lessons

- LESSON 29: SOLVE SYSTEMS OF EQUATIONS ALGEBRAICALLY
- LESSON 30: SOLVE SYSTEMS OF EQUATIONS GRAPHICALLY
- LESSON 31: SOLVE SYSTEMS OF INEQUALITIES

## UNIT 6: QUADRATIC FUNCTIONS (APR. 14-MAY 5 APPROXIMATELY 15 DAYS)

Unit 6 is an expansive look at quadratic functions: their graphs, tables and algebraic functions. It stresses multiple approaches to graphing, solving and understanding quadratics, as students explore, make conjectures and draw conclusions in group- work settings. In this unit, students explore and learn from multiple applications of quadratics. The unit assumes students have seen quadratics before but may not have a concrete, transferable understanding of quadratic functions. The unit does not cover algebraic manipulations (multiplying and factoring), as these are in earlier units.

SREB LESSONS

- LESSON 1: KEY FEATURES OF QUADRATIC GRAPHS
- LESSON 2: EFFECT OF COEFFICIENT ON STANDARD FORM QUADRATIC FUNCTIONS
- LESSON 3: SENSE OF STRUCTURE OF THREE FORMS OF QUADRATIC FUNCTIONS
- LESSON 4: GARNISH INFORMATION FROM STRUCTURE FORMS OF QUADRATICS
- LESSON 5: MOVING BETWEEN FORMS OF QUADRATICS
- LESSON 6: GETTING TO VERTEX FORM-COMPLETING THE SQUARE
- LESSON 7: TRANSFORMATION AND QUADRATIC FUNCTIONS
- LESSON 8: SOLVING QUADRATICS
- LESSON 9: SOLVING QUADRATICS-COMPARING METHODS
- LESSON 10: GENERALIZING SOLVING THE QUADRATIC FORMULA
- LESSON 11: SYSTEMS OF EQUATIONS WITH QUADRATICS
- LESSON 12: CAPSTONE PROJECT

ACT PREP Coach Lessons

- LESSON 24: SOLVE QUADRATIC EQUATIONS
- LESSON 25: GRAPHING QUADRATIC FUNCTIONS
- LESSON 26: POLYNOMIAL FUNCTIONS

## UNIT 7: EXPONENTIAL FUNCTIONS (MAY 6- MAY 19 APPROXIMATELY 10 DAYS)

This unit develops students’ fluency in exponential functions through varying real-life financial applications/inquiries. The unit builds student understanding of these higher- level functions and gives them the opportunity to reflect upon the ramifications of their future financial choices.

SREB LESSONS

- LESSON 1: EXPONENTIAL GROWTH AND DECAY
- LESSON 2: STRUCTURE IN EXPONENTIAL FUNCTIONS
- LESSON 3: COMPOUNDING INTEREST
- LESSON 4: COMPARING INVESTMENTS
- LESSON 5: MONTHLY SAVINGS
- LESSON 6: COMPARING PAYMENT

ACT PREP Coach Lessons

- LESSON 27: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- LESSON 28: RATIONAL FUNCTIONS

## UNIT 8: SUMMARIZING AND INTERPRETING STATISTICAL DATA (MAY 20- JUNE 1 APPROXIMATELY 9 DAYS)

In this unit students further develop skills to read, analyze, and communicate (using words, tables, and graphs) relationships and patterns found in data sets of one or more variables. Learning how to choose the appropriate statistical tools and measurements to assist in the analysis, being able to clearly communicate results either in words, graphs, or tables, and being able to read and interpret graphs, measurements, and formulas are crucial skills to have in a world overflowing with data. Students explore these concepts while modeling real contexts based on data they collect.

SREB LESSONS

- LESSON 1: LANGUAGE OF DATA
- LESSON 2: SAMPLING FROM A POPULATION
- LESSON 3: CORRELATION AND CAUSATION
- LESSON 4: ANALYZING RELATIONSHIPS BETWEEN TWO CATEGORICAL VARIABLES
- LESSON 5: REPRESENTING DATA USING FREQUENCY GRAPHS
- LESSON 6: THE SHAPE OF QUANTITATIVE DATA
- LESSON 7: MEASURING THE STRENGTH OF AN ASSOCIATION
- LESSON 8: INTERPRETING THE LINE OF BEST FIT

ACT PREP Coach Lessons

- LESSON 46: REPRESENTATIONS OF DATA
- LESSON 47: VENN DIAGRAMS
- LESSON 48: MEASURES OF CENTER AND VARIATION
- LESSON 49: PROBABILITY
- LESSON 50: GEOMETRIC PROBABILITY
- LESSON 51 COMBINATIONS AND PERMUTATIONS

## UNIT 9: GEOMETRY (JUNE 2- JUNE 8 APPROXIMATELY 6 DAYS)

ACT PREP LESSONS:

- LESSON 35: COORDINATE GEOMETRY
- LESSON 36: CONIC SECTIONS
- LESSON 37: TRANSFORMATIONS
- LESSON 38: LINES AND PLANES
- LESSON 39: TRIANGLES
- LESSON 40: QUADRILATERALS
- LESSON 41: TWO DIMENSIONAL REPRESENTATIONS OF THREE DIMENSIONAL OBJECTS
- LESSON 42: CONGRUENT TRIANGLES
- LESSON 43: RIGHT TRIANGLE TRIGONOMETRY
- LESSON 44: TRIGONOMETRY IN NON-RIGHT TRIANGLES
- LESSON 45: GRAPHS OF TRIGONOMETRY FUNCTIONS