Download Robert Valeria

Academic Math 7 Info for Parents
Robert Valeria
M.S. Classroom Technology, B.S.Ed. Math Education, B.S. Mathematics
[email protected]
814-695-4426 ext. 8198
Course Information
In Academic Math 7, students learn concepts from a variety of different area of mathematics
and become prepared to take Algebra I over two years.
 Students who earn a 77% or above will take College Bound Pre-Algebra in 8th grade
which is normally followed by Algebra 1 in 9th grade.
 Students who earn below a 77% will take Algebra 1A in 8th grade which is normally
followed by Algebra 1B in 9th grade.
 Students who earn a 95% or higher can take Algebra 1 in 8th grade which is normally
followed by a geometry class in 9th grade.
Textbook: Holt McDougal Mathematics Course 2
Online Version: my.hrw.com (username and password are listed on your child’s syllabus
for this class or ask me for it)
Where to Turn for Help: Notes Packets
I have created detailed notes packets for each chapter. The notes provide methods and
summaries and leave space for students to fill in key words and examples as we go through
them during class. These packets are comprehensive and cover all problem types and information that
students will be assessed on.
When students are stuck on homework problems of when studying, these are the place to turn for help.
The packets are very similar to the homework worksheets.
When studying for a test, students should first refer to the study guide given for the chapter.
- The sections on notes and worksheets correspond with the textbook’s sections so students also have the
option of looking for help in their textbook.
Online Access to Homework
When homework is assigned from the textbook, it can be accessed through the online textbook.
I post all other homework worksheets as well as notes packets and study guides on my school webpage.
You can get there by accessing www.tigerwires.com and finding my webpage. The exact address for this
class is www.tigerwires.com/Page/9958.
Online Grade Book: Infinite Campus
I post assignments, their due dates, and quiz/test dates on Infinite Campus so you can use it to help your
child be prepared for class, especially if they are struggling in the class. Assignment scores are updated
daily with test scores being almost always posted by the night the test is given.
You can get an Infinite Campus app to get access to immediate updates when conditions you set occur.
You can also set the system to send various notices to your e-mail account.
Supplies Needed for this Class
* 1 folder or 1 one-inch three-ring binder (hard or soft cover)
* TI-30X IIS or similar calculator (recommended).
- This calculator will be provided to students for in-class use. It is recommended that they have
their own to use at home. It is not required though. Students will be able to complete all
homework assignments without one.
- Students should be able to complete most objectives with and without a calculator. Tests will
often begin with a shorter section on which students cannot use a calculator and a second section
on which calculators are allowed to be used.
- A good approach to the class would be to complete some of the homework problems without
using a calculator (to make sure the student remembers arithmetic rules from elementary school)
and then use a calculator on the rest of the assignment. On some assignments, it will be identified
when a calculator should not be used.
Homework
* Homework will be given every day. It is usually due the next class day. Most of the time it will be
graded for completion. If students show good effort on the problems and all are completed, they will get
all the points for the assignment (most assignments are worth 2 points). If students do not have the
homework assignment completed when it is corrected, they will get 0 points.
Other homework assignments may be collected for a grade. The grade will drop one letter grade each day
it is late up to three days. After the fourth day late, it will be worth 50% of its graded value. This same
penalty system is used for late projects or other assignments.
* A PSSA Open-Ended Problem will be given each week. It is usually given on Monday and due on
Wednesday. Each problem is worth 4 points. On most problems, students will have to show and explain
their work.
Grading
Grading is based on a point system. A student’s percentage is found by dividing the total number of
points received by the total number of points possible during a 9-week period.
Points will be given for the following assessments:
1. Tests
4. Classwork
2. Quizzes
5. Weekly PSSA Open-Ended Problems
3. Completion & Graded Homework
6. Projects
The standard HAJHS grading scale will be used:
92-100
84-91
Percentage
A
B
Grade
77-83
C
70-76
D
69 & below
F
Class Structure
Structured, organized class. Normal class period:
Beginning: Review homework. Teacher will pick out 1 or 2 representative problems to look at in detail.
Students should be encouraged to ask questions.
Lesson: Motivation (connecting the material to the real world, introducing a stunning idea, or building off
of previous knowledge). Lesson in notes packet. The same packet will be displayed on the Promethean
ActivBoard that the students have. Some information will be presented directly while other concepts the
students will investigate and discover. A lot of questions will be asked to the students. Throughout the
period, there will be a lot of practice time where the students will be doing the problems, and I will be
checking their work. Emphasis is placed on understanding the objectives for long-term retention. We will
also use technology, such as online graphing applications and educational videos.
Closing: Students will summarize what has been leaned with emphasis on similarities and differences to
other topics. Often, a connection to a real-world situation may be looked at in the closing or the
motivation to the lesson. Students will usually not have time to start working on their homework. There
will be times, however, where they will so I can check their work.
Pennsylvania Math Testing Information
7th Grade PSSA Test
The PSSA test assesses knowledge and understanding of the PA Core Standards. I will make sure we
cover all the PA Core Standards for 7th grade during the year. We will also review all the material before
the test.
Some of my students and parents in the past have also periodically studied and reviewed for the test
independently.
The standards that are tested can be found at http://www.pdesas.org/Standard/PACore. They are given in
the “7th Grade PA Core Standards” section below.
PSSA Math Testing Window: April 18-22, 2016
Future Tests
8th Grade: PSSA Math Test
Whenever a student finishes Algebra 1: Algebra 1 Keystone Test
Right now, this Keystone Test is listed as a requirement to graduate. If students do not pass it, they are
given remediation and can retake the test multiple times. If they continue to not pass it, they will be able
to complete an in-school project to satisfy the requirement.
Other Keystone Tests may be added (e.g. Algebra 2 Test, Geometry Test) but right now the only math
test listed as a requirement to graduate is the Algebra 1 Keystone Test
7th Grade PA Core Standards
The Number System

Apply properties of operations to add and subtract rational numbers, including real-world contexts.

Represent addition and subtraction on a horizontal or vertical number line.

Apply properties of operations to multiply and divide rational numbers, including real-world contexts; demonstrate that
the decimal form of a rational number terminates or eventually repeats.
Ratios and Proportional Relationships

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured
in like or different units.
Example: If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per
hour, equivalently 2 miles per hour.

Determine whether two quantities are proportionally related (e.g., by testing for equivalent ratios in a table, graphing on
a coordinate plane and observing whether the graph is a straight line through the origin).

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of
proportional relationships.


Represent proportional relationships by equations. Example: If total cost t is proportional to the number n of items
purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t =
pn.
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special
attention to the points (0, 0) and (1, r), where r is the unit rate. M07.A-R.1.1.6 Use proportional relationships to solve
multi-step ratio and percent problems.
Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and
decrease.
Expressions and Equations

Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients.
Example 1: The expression 1/2 • (x + 6) is equivalent to 1/2 • x + 3.
Example 2: The expression 5.3 – y + 4.2 is equivalent to 9.5 – y (or – y + 9.5).
Example 3: The expression 4w – 10 is equivalent to 2(2w – 5).

Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate.
Example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or
$2.50, for a new salary of $27.50 an hour (or 1.1 × $25 = $27.50).

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational
numbers.
Example: The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational
numbers, and graph the solution set of the inequality.
Example: A salesperson is paid $50 per week plus $3 per sale. This week she wants her pay to be at least $100. Write
an inequality for the number of sales the salesperson needs to make and describe the solutions.

Determine the reasonableness of answer(s) or interpret the solution(s) in the context of the problem.
Example: If you want to place a towel bar that is 9 3/4 inches long in the center of a door that is 27 1/2 inches wide,
you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact
computation.
Geometry

Solve problems involving scale drawings of geometric figures, including finding length and area.

Identify or describe the properties of all types of triangles based on angle and side measures.

Use and apply the triangle inequality theorem.

Describe the two-dimensional figures that result from slicing three-dimensional figures.
Example: Describe plane sections of right rectangular prisms and right rectangular pyramids.

Identify and use properties of supplementary, complementary, and adjacent angles in a multi-step problem to write and
solve simple equations for an unknown angle in a figure.

Identify and use properties of angles formed when two parallel lines are cut by a transversal (e.g., angles may include
alternate interior, alternate exterior, vertical, corresponding).

Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s). Formulas
will be provided.

Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional
objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Formulas will be provided.
Statistics and Probability

Determine whether a sample is a random sample given a real-world situation.

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest.
Example 1: Estimate the mean word length in a book by randomly sampling words from the book.
Example 2: Predict the winner of a school election based on randomly sampled survey data.

Compare two numerical data distributions using measures of center and variability.
Example 1: The mean height of players on the basketball team is 10 cm greater than the mean height of players on the
soccer team. This difference is equal to approximately twice the variability (mean absolute deviation) on either team.
On a line plot, note the difference between the two distributions of heights.
Example 2: Decide whether the words in a chapter of a seventh-grade science book are generally longer than the words
in a chapter of a fourth-grade science book.

Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (i.e., a
probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor
likely, and a probability near 1 indicates a likely event).

Determine the probability of a chance event given relative frequency. Predict the approximate relative frequency given
the probability.


Example: When rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times but probably
not exactly 200 times.
Find the probability of a simple event, including the probability of a simple event not occurring.
Example: What is the probability of not rolling a 1
on a number cube?
Find probabilities of independent compound events using organized lists, tables, tree diagrams, and simulation.
Academic Math 7 Schedule
Chapter 2: Integers
2-1: Integers
2-*: Adding and Subtracting Integers by Moving Along a Number Line
2-2: Adding Integers Using a Rule
2-3: Subtracting Integers Using a Rule
2-4: Multiplying and Dividing Integers
Chapter 3: Rational Numbers
3-*: Rational Numbers (divide to get decimal; location on number line)
3-7: Add and Subtract Mixed Numbers
3-9: Multiply Mixed Numbers
3-10: Divide Mixed Numbers
3-*: Estimating for Reasonable Answer
Chapter 1: Expressions
1-4: Order of Operations (Review Exponents Also)
1-6: Algebraic Expressions
1-5: Properties of Numbers
1-8: Combining Like Terms and Simplifying Expressions
1-*: Distributive Property
1-**: Distributive Property in Reverse aka Factoring
Chapter 12 Part 1: Equations
1-9 and 1-10: Equations Intro and Solving Equations by Adding or Subtracting
1-11: Solving Equations by Multiplying or Dividing
12-1: Solving Two-Step Equations
12-2: Solving Equations Having Like Terms and Parenthesis
12-*: Modeling Situations as Equations (2-step and p(x+q)=r)
Chapter 12 Part 2: Inequalities
12-4: Inequalities
12-5 and 12-6: Solving One-Step Inequalities
12-7: Solving Multi-Step Inequalities
12-*: Modeling Situations as Inequalities (1-step, 2-step and p(x+q)<r)
Chapter 4: Proportional Relationships
4-* or 5-5: Linear Equations
4-1: Ratios
4-2: Rates (especially unit rates with fractions)
4-**: Proportional Relationships
4-4: Proportions
4-8 and 4-9: Similar Figures
Chapter 6: Percents
6-1 and 6-2: Percents, Fractions, Decimals
6-4: Percent of a Number (include gratuities, commissions, and fees)
6-3: Three Types of Percent Problems (Find a percent, find a part, find a whole) and
Solve by Equation and Proportion
6-5: Tax, Discount, Markup, Markdown
6-6: Percent of Change (add $25 + 10% raise means 25 + .10*25)
6-7: Simple Interest
Chapter 7: Statistics
7-2: Comparing Two Data Sets by Using Measures of Center
7-*: Variability and Standard Deviation
7-8: Populations and Samples
Chapter 11: Probability
11-1: Probability (11-4)
11-2: Relative Frequency
11-3: Sample Spaces
11-6: Probability of Independent Events (by using organized lists, tables, tree
diagrams, simulation, and Multiply??
Chapter 8: Geometric Figures
8-2: Special Angle Pairs
8-3: Line and Angle Relationships
8-6: Classifying Triangles (add triangle inequality theorem)
9-3: Perimeter and Area of Parallelograms
9-4: Area of Triangles and Trapezoids
4-10: Scale Drawings and Scale Models (Add problems where you have to
then find length and area)
Chapter 9/10: Geometry
9-2 and 9-5: π and Circumference and Area of Circles
9-6: Area of Irregular Figures
10-1: Introduction to 3-D Figures (add cross sections (slicing 3-D figures)
10-2: Volume of prisms
10-4: Surface Area of Prisms
PSSA Review
Lesson 1: Number Sense Review
Lesson 2: Expressions, Equations, Inequalities Review
Lesson 3: Proportional Relationships Review
Lesson 4: Statistics and Probability Review
Lesson 5: Geometry Review
Chapter 9: Irrational Numbers
9-7: Square Roots
9-*: Rational and Real Numbers
9-**: Solving Equations with Squares
9-8: Pythagorean Theorem
Chapter 5: Linear Relationships
5-5: Linear Equations
5-*: Intercepts
5-6: Slope as Rate of Change
5-6: Slope
5-7: Slope-Intercept Form
5-**: Writing Linear Equations
5-***: Linear and Proportional Relationships
Chapter 7: Statistics Tools
7-1: Stem-and-Leaf Plots
7-5: Box-and-Whisker Plots
7-9: Scatter Plots