Download parent handout

Math 7 Info for Parents
Robert Valeria & Erin Hilling
[email protected]
814-695-4426 ext. 8198
erin_hilling @tigerwires.com
814-695-4426 ext.
Math 7 - A general math course in which we cover essential math skills
for the 7th grade level.


Students who earn below a 95% will take Algebra 1A in 8th grade, which
is followed normally by Algebra 1B in 9th grade.
Students who earn a 95% or higher can take College Bound Pre-Algebra
in 8th grade, which is normally followed by Algebra 1 in 9th grade.
Textbook: Glencoe Mathematics: Applications and Concepts Course 2
Where to Turn for Help
Notes Packets – Detailed notes that we use during lessons.
 They are like a textbook that students can write on.
 I have made them so they match the homework.
 Students should be bringing these home with their homework.
Homework Help Videos – Detailed video presentations in which we explain
key concepts and procedures while completing some homework problems.

A video is available that we made for each homework assignment.

Found on our Google Classroom site.

On the Google Classroom site, we also post copies of all homework assignments
in case a student forgot it or was absent and wanted to get it early.

Students must “sign up” for the Google Classroom site one time by completing
the following steps:
1. Enter or select your Google username. This is the same username for
Google Gmail. It is your first initial, middle initial, your full last
name, and the last two digits of your ID number @ hasdtigers.com.
An example is shown at the right.
2. Enter your password. If you changed your password previously in
school for this Google account, enter that password. If you have never
used this Google account, enter your School ID Number followed
immediately by google.
o
Form: Your_Student_Numbergoogle
o
Example for Jane Doe with ID of 987654: 987654google
3. In the upper right corner, select the plus sign (+) and choose “join class.”
4. You will need to input our class code. It is: 5q8bv6
You will only have to input this code once. After you have “signed up” for the class, you will only need
to be logged in to Google using your school username and then go to classroom.google.com.
Study Guides – Always given before a test (1 or 2 days before)
If you would prefer to get them earlier, they are found at the same file database
on my school web site aforementioned (with the homework help videos)
I also provide video tutorials on the study guides at the same location.
Online Grade Book: Infinite Campus



I post assignments, their due dates, and quiz/test dates on Infinite Campus.
Assignment scores are updated daily.
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 but not required). Students will be given one for
in-class use but they cannot take that calculator home.
Homework
Given most days but should not take too long.
Usually graded for completion: if you show good effort on the problems and all are completed,
you will get all the points for the assignment (most worth 2 points)
Some 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.
Homework: PSSA Open-Ended Problems


Given periodically throughout the class (roughly 4-5 per marking period)
The assignment is worth 4-8 points and is graded based on accuracy.
Calculator Use



First two chapters (integers and rational numbers): working a lot without calculators.
Rest of the class: Calculators will be used a decent amount. Tests may begin with a shorter
section on which students cannot use a calculator and a second section on which calculators are
allowed to be used.
After the first two chapters, students will often be allowed to use calculators on homework
problems. However, it is recommended that students complete some of these without a calculator.
However, in some situations, calculator use is beneficial due to time considerations and/or other
activities.
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
2. Quizzes
3. Completion & Graded Homework
The standard HAJHS grading scale will be used:
92-100
84-91
Percentage
A
B
Grade
4. Classwork
5. Weekly PSSA Open-Ended Problems
6. Projects
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 24-28, 2017
(ELA is April 3-7, 2017)
Future Tests
8th Grade: PSSA Math Test
Whenever a student finishes Algebra 1: Algebra 1 Keystone Test
This test must be passed to graduate. If students don’t pass it initially, they can take it again multiple
times or complete a project in school in its place.
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.
Math 7 Schedule
Chapter 3: Integers
3-1: Integers
3-A: Moving Along the Number Line with Addition
3-B: Moving Along the Number Line with Subtraction
3-4: Adding Integers by Using Absolute Values
3-5: Subtracting Integers by Using Absolute Values
3-6, 3-7: Multiplying and Dividing Integers
Chapter 6: Applying Fractions
5-8: Rational Numbers
6-3: Adding and Subtracting Mixed Numbers
6-4: Multiplying Mixed Numbers
6-6: Dividing Mixed Numbers
6-A: Estimating for Reasonable Answer
Chapter 1: Expressions
1-3: Order of Operations
1-4: Algebraic Expessions
1-6: Properties of Operations (Commutative, Associative, Identity)
1-A: Simplifying Expressions and Combining Like Terms
1-B: Distributive Property
1-C: Distributive Property in Reverse (Factoring)
Chapter 4 Part 1: Equations
4-2: Equations Intro and Solving Equations with Addition and Subtraction
4-3: Solving One-Step Equations
4-4: Solving Two-Step Equations
4-A: Solving Equations Having Like Terms
4-B: Solving Equations with Parenthesis
4-C: Modeling Situations as Equations
Chapter 4 Part 2: Inequalities
4-5: Inequalities
4-A: Solving One-Step Inequalities
4-B: Solving Multi-Step Inequalities
4-C: Modeling Situations as Inequalities
Chapter 7: Ratios and Proportions
7-1: Ratios and 7-2: Rates
7-A: Proportional Relationships and Constant of Proportionality with Tables and Word Problems
7-B: Proportional Relationships and Graphs
7-3: Proportions
Chapter 7/8: Applying Percents
7-5: Percents, Fractions, Decimals
7-7: Percent of a Number
8-2: The Percent Equation
7-8: The Percent Proportion
8-5: Sales Tax and Discount
8-4: Finding Percent of Change
8-6: Simple Interest
Chapter 2: Statistics
2-4: Using Measures of Center to Compare Two Sets of Data
2-A: Measures of Variation: Range and Interquartile Range
2-B: Box-and-Whisker Plots
2-C: Mean Absolute Deviation
2-D: Populations and Samples
Chapter 9: Probability
9-1: Probability
9-6: Relative Frequency
9-2: Sample Spaces
9-7: Probability of Independent Events (by using organized lists and multiplication)
Chapter 10: Geometry
10-3: Special Pairs of Angles
10-A: Angles and Parallel Lines
10-4: Triangles
11-4 & 11-5: Area of Parallelograms, Triangles and Trapezoids
11-6: π and Circumference and Area of Circles
11-7: Area of Complex Figures
Chapter 12: 3-D Geometry
12-1: Cross Sections of 3-D Solids
12-2: Volume of Prisms
12-4: Surface Area of Prisms
7-4: Scale Figures
PSSA Review
1: Number Sense Review
2: Expressions, Equations, Inequalities Review
3: Proportional Relationships Review
4: Statistics and Probability Review
5: Geometry Review
Chapter 11: Irrational Numbers
11-1 and 11-2: Square Roots
11-A: Solving Equations with Squares
11-3: Pythagorean Theorem
Chapter 4: Linear Relationships
4-A: Linear Relationships in the Real World
4-6: Linear Equations
4-7: Slope
4-B: Writing Linear Equations