 # Mathematics

The Shaker Middle School mathematics program provides students with the mathematical knowledge and skills necessary to function in the world. The goal for our students is to develop the ability to:

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

## Course Descriptions

### Math 7

The Math 7 course will cover the New York State Grade 7 Common Core standards and is designed to prepare students to be successful on the NYS Grade 7 math assessment.

Topics include:

• Ratios and Proportional Relationships:
• Analyze proportional relationships and use them to solve real-world and mathematical problems.
• The Number System:
• Apply and extend previous understandings of operations with fractions to add, subtract,
multiply, and divide rational numbers.
• Expressions and Equations:
• Use properties of operations to generate equivalent expressions; solve real-life and mathematical problems using numerical and algebraic expressions and equations.
• Geometry:
• Draw, construct and describe geometrical figures and describe the relationships between them; solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
• Statistics and Probability:
• Use random sampling to draw inferences about a population; draw informal comparative inferences about two populations; investigate chance processes and develop, use, and evaluate probability models.

### AIS Math 7

AIS Math 7 is an Academic Intervention Service (AIS) for seventh graders who need extra assistance in mathematics. This program is for students who scored at Level I or II on the 6th grade NYS math assessment or were recommended for inclusion by their 6th grade math teacher. Students enrolled in AIS Math 7 meet for an extra block of instructional time to receive remediation.

### Special Class Math 7

A self-contained math class based upon an alternate curriculum that focuses on the instruction of basic mathematical skills for activities of daily living. The curriculum is highly differentiated based upon each student’s math concept abilities and their Individual Education Plan (IEP) goals.

### Math 8

The Math 8 course will cover the New York State Grade 8 Common Core standards and is designed to prepare students to be successful on the NYS Grade 8 math assessment.

Topics include:

• The Number System
• Know that there are numbers that are not rational, and approximate them by rational numbers
• Expressions and Equations:
• Work with radicals and integer exponents; understand the connections between proportional relationships, lines, and linear equations; analyze and solve linear equations and pairs of simultaneous linear equations
• Geometry:
• Understand congruence and similarity using physical models, transparencies, or geometry software; understand and apply the Pythagorean Theorem; solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
• Statistics and Probability:
• Investigate patterns of association in bivariate data.
• Functions:
• Define, evaluate, and compare functions; use functions to model relationships between quantities.

### AIS Math 8

AIS Math 8 is an Academic Intervention Service (AIS) for eighth graders who need extra assistance in mathematics. This program is for students who scored at Level I or II on the 7th grade NYS math assessment or were recommended for inclusion by their 7th grade math teacher. Students enrolled in AIS Math 8 meet for an extra block of instructional time to receive remediation.

### Special Class Math 8

A self-contained math class based upon an alternate curriculum that focuses on the instruction of basic mathematical skills for activities of daily living. The curriculum is highly differentiated based upon each student’s math concept abilities and their Individual Education Plan (IEP) goals.

### Algebra I

Prerequisite: In general, a student is expected to meet the following criteria to be placed in this advanced class:

1. The student must have demonstrated high achievement in Math 7.
2. The student should be recommended by his/her current math teacher for placement into the program.

This course is an enriched version of the 9th grade Regents Algebra 1 course at SHS. It is available to eighth grade students who demonstrate a strong ability and interest in mathematics and who plan on pursuing a five-year mathematics sequence. It is also a prerequisite for further study in mathematics and science at the Honors level. While much of this course is focused on algebra with some geometry, other areas, such as probability and statistics, are also introduced. The final exam for this course is the New York State Common Core Algebra Regents exam; students in this course will not be required to complete the NYS eighth grade math assessment. Students successfully completing the course will receive one high school Regents credit. Students will be evaluated at the end of the school year and recommended to pursue either the Regents or Honors Geometry math program in ninth grade based upon the quality of completed work.