Core Connections CC3 – Accelerated – Gr7-7317
Sections 1, 2, 3, 4, 5, & 6
Instructor: Scott Haag – Room 001
Email: – Phone: 610.779.3320 Ext. 3301
Office hours: Monday - Friday 2:20-2:50 p.m. and by appointment.
Textbook: Core Connections Course 3 by, Kysh, Dietiker, Sallee, Hamada, and Hoey, CPM Educational Program.
Course Description: This is a one-year course offered to those students who have demonstrated a proficiency in mathematics in sixth grade and have exhibited an ability to use abstract thinking in solving problems. The course will be structured to facilitate student learning by engaging students in problem-based learning structured around a core idea, via interactive groups to foster mathematical discourse communicating their thinking and understanding, and utilizing spaced practice with concepts and procedure to promote mastery over time. The material covered in the accelerated course is presented at a faster pace with the expectation that the students have retained and can perform the above material with greater proficiency and on their own. The accelerated course will include such topics as solving equations and inequalities, using the order of operations principles, applying rational numbers and integers to word problems, relating rates, proportions and percent, geometric concepts, and problem solving, developing spatial thinking skills.
Things to Know and Show:
- Every student has the ability to be successful. It is the attitude and expectation of each individual that will set the stage for one’s own success.
- Working problems is a key component to understanding concepts but it is only one component. Students must understand and connect new concepts with concepts already stored in long term memory. Achieving this mastery level learning may require pre-reading concepts, reviewing or rewriting notes, practicing examples, and concluding via group practice and assessment.
- Additional lessons and practice can be accomplished in the computer labs during study periods before school or after school.
- Please write your name, date, and period in the upper right-hand corner of each sheet for all assignments, tests, and quizzes.
- Provide all work on tests and quizzes, no credit will be given unless all work is shown.
- Quizzes may be given without prior notice.
- Homework will be collected.
- All work must be written in pencil or typed.
- Academic dishonesty of any kind will earn zero points every time.
Notebooks: A three ring binder is required for this course. The binder must be brought to class each and every class period.
Grading:
- There will be at least one quest/test per unit. A test will follow two to three days after the last lesson (section) of each chapter. Each test is cumulative, it will include all material covered to that point.
- The final exam is administered in the beginning of June and is comprehensive.
- Quarter grades are calculated on a points system:
Tests/Unit Exams –50 to 100 pts
Quizzes – 10 to 25 pts
Activities/Projects – 5 to 20 pts
- Overall course grades will be calculated as follows:
Each quarter=22% of overall grade
Final Exam=12% of overall grade
Contents:
- Problem Solving
- Simplifying with Variables
- Graphs and Equations
- Multiple Representations
- Systems of Equations
- Transformations and Similarity
- Slope and Association
- Exponents and Functions
- Angles and the Pythagorean Theorem
- Surface Area and Volume
Unit Titles and Essential Questions:
- Variables, Expressions, and Integers
How do formulas help us to solve real-life problems?
What are some examples, and how are they used?
What is evaluating and how is it helpful when using formulas?
What are the order of operations, and what role do they have when evaluating and using formulas?
What are integers and are they necessary when using formulas and real-world problems?
What are the rules for operations with integers? What are the similarities and differences?
What are ordered pairs and how are they used?
- Solving Equation
How are equations and inequalities applicable to real-life situations?
How are one and two step equations solved?
How do variable expressions and numerical expressions help to define equations and inequalities?
How do the properties and principles help to explain the rules for adding and multiplying terms?
Why is the distributive property so important when simplifying and solving problems with multiple terms?
- Multi-Step Equations and Inequalities
How are equations and inequalities applicable to real-life situations?
Why is it important to be able to model real-life problems using mathematical sentences?
How do variable expressions and numerical expressions help to define equations and inequalities?
What algorithms are used to solve equations and inequalities?
How do the properties and principles help to explain the rules for adding and multiplying terms?
Why is the distributive property so important when simplifying and solving problems with multiple terms?
What are the similarities and differences between equations and inequalities?
- Factors, Fractions, and Exponents
Do we use the LCM or the GCF to predict when a set of events will occur at the same time?
Do we use the LCM or the GCF to distribute items into equal groups?
How do we use the prime factorization to find the LCM or the GCF between groups?
How is the prime factorization of a number used to help identify and list all of its factors?
How are the factors of a number used to arrange a group of items into rectangular arrays?
How are the LCM and the LCD similar?
Which operations require the use of the LCD?
- Rational Numbers and Equations
The "Golden Ratio" is what type of number?
What is the relationship between rational numbers and whole numbers, fractions, decimals, integers?
What are the real numbers?
What is an example of a rational number? What is an example of an irrational number?
How are fractional expressions simplified using the four mathematical operations? What are the similarities and differences?
What are inverse operations?
How are numbers represented, compared, and ordered?
Why do we need to be knowledgeable about all types of numbers?
Why is the study of patterns so important?
- Ratio, Proportion, and Probability
What is indirect measure?
How do the properties of similar figures aid in the calculations for indirect measure?
What are the similarities and differences between similar and congruent figures?
How do proportions aid with the calculations of indirect measure problems?
Cross products are used to solve what type of equation?
Explain how we use experimental probability and proportions to predict events.
What are the similarities and differences between experimental and theoretical probabilities?
Explain the similarities and differences between ratios and rates.
What are the similarities and differences between Unit Rate and Unit Price?
What are some real-life examples of ratios, rates?
- Percents
How do we calculate the cost of an item that is discounted?
How do we calculate the cost of an item with a sales tax?
How do we calculate the cost of and item that is discounted and taxed?
What is a tax?
What is the amount of change and how is it calculated?
What is interest and how is it calculated?
Where do we use interest in real-life?
- Linear Functions
What is a relation?
What makes a relation a function?
What are some real-life examples of relations that are functions and relations that are not functions?
What is the relationship between the slope of the line and the variation constant?
How do we find the slope of a line? How do we calculate the slope when given the coordinates of two points on a line?
What are the x- and y-intercepts? What do they tell us about linear equations?
How do we write an equation in standard form or function form?
How do we show the solutions to a linear equation?