2

3

▪ No formal presentation

▪ Come at any time between 5:00 and 6:00 pm to Eagle Hall

▪ Tables will be set up for:

▪ Math 7

▪ Math 7 HN

▪ Pre-Algebra

▪ Algebra 1

▪ Algebra 1 HN

▪ Teachers will be available to discuss curricula but NOT to

make placement recommendations for your child.

4

The following slide is provided by FCPS to lay out

the course sequencing of math classes from 7th grade

through 12th grade.

Please note that summer coursework is available

(after an in-person Algebra 1 class) to advance

through the sequence faster.

5

Pre-Algebra

6

Math 7 (7th grade only)

Math 7 Honors (7th grade only)

Pre-Algebra (8th grade only)

Algebra 1 (8th grade only)

Algebra 1 Honors (7th and 8th grade)

Geometry (7th and 8th grade)

Each of these courses are described in the following

slides.

7

Every math course taught in FCPS has the same overarching goals for

every student:

• To build new mathematical knowledge through problem solving and

to develop a repertoire of skills and strategies for solving a variety of

problem types

• To communicate mathematical ideas coherently and clearly and to

analyze and evaluate the mathematical thinking of others

• To use logical reasoning in solving mathematical problems and to

explain and justify mathematical ideas

• To understand how mathematical ideas interconnect and build on one

another and to use those connections to solve problems

• To create and use a variety of representations in learning, doing, and

communicating mathematics

This course provides the opportunity for students to examine:▪ Algebra and geometry preparatory concepts and skills;▪ Strategies for collecting, analyzing, and interpreting

data; ▪ Number concepts and skills especially proportional

reasoning.

Students will take the math 7 SOL test

Math 7 prepares students to take either Pre-Algebra or Algebra 1 in the 8th grade.Math 7 prepares students to take either Pre-Algebra or Algebra 1 in the 8th grade.

9

Quarter 1

• Comparing, ordering, and solving word problems using fractions and decimals

• Solving practical word problems using proportions

• Converting to and from scientific notation

Quarter 2

• Order of Operations including fractions and decimals

• Solving and checking two-step equations, including word problems

• Solving, checking, and graphing two-step inequalities, including word problems

• Graphing and/or writing additive and proportional equations given a table, graph, or

equation

Quarter 3

• Translating and reflecting an image on a coordinate plane

• Theoretical vs. Experimental probability, Single Event probability

Quarter 4

• Comparing line plots, stem and leaf, and circle graphs to histograms

• Finding the volume and surface area of rectangular prisms and cylinders

▪ The depth and level of understanding in Math 7 Honors is beyond the scope of Math 7.

▪ This course is the Pre-Algebra curriculum and includes all extensions and enrichment .

▪ Requires students to master the content assessed on the Math 8 SOL test.

Math 7 honors prepares students to take either Algebra 1 or Algebra 1 honors in the 8th grade.

11

Quarter 1

• Categorizing numbers in the Real Number System using Venn diagrams

• Solving practical problems using proportional reasoning

• Writing equations and graphing linear relationships in slope-intercept form

Quarter 2

• Solving and checking multi-step equations including variables on one or both sides of the

equation

• Solving, checking, and graphing multi-step inequalities including variables on one or both sides

of the equation, and writing solutions in interval notation

• Transformation an image on a coordinate plane, calculating a scale factor, and finding the

missing side of a proportional shape

Quarter 3

• Solving and applying the Pythagorean Theorem, finding surface area and volume of 3D figures

• Complementary vs. Supplementary angles, vertical angles, and transversals

• Independent vs. Dependent probability (compound probability)

Quarter 4

• Using box plots to analyze and make predictions on statistical data

• Scatterplots and identifying the line of best fit

Students who have NOT successfully completed an entire year of AAP Mathematics 6 may need support and/or require additional independent effort and study to be successful.

Grade 6 Mathematics 7 Honors

An entire year of

math 7

(pre-algebra content)

is missed

Two step equation solving Two step inequality solving and graphing Order of operations with fractions and

decimals Three-dimensional geometry Functions (slope-intercept form) Proportional reasoning Percent applications

x x x• =2 4 623 2

3

Exponents

Math 7

Exponents

Math 7 Honors

=23 9

Functions

Math 7

Functions

Math 7 Honors

y

x

Draw the graph y = x + 3 Identify the graph drawn

in slope-intercept form.y

x

( )x x x− − = − +4 3 5 10 28

Equations

Math 7

Equations

Math 7 Honors

2 3 14( )x − =

17

Pre-Algebra prepares students to take Algebra 1 in 9th grade.

It strengthens and extends concepts learned in math 7 with a heavy focus on:

Proportional reasoning Number sense Understanding of functions Multi-step equation solving

There is NO final exam. Students take quarter quizzes at the end of each quarter.

Students take the math 8 SOL at the end of the year.

18

Quarter 1:

• Real numbers

• Linear functions

Quarter 2:

• Algebraic expressions

• Congruence and similarity

Quarter 3:

• Angles and polygons

• Solid Figures

• Probability of multiple events

Quarter 4:

• Populations and samples

• Bivariate data

*Within each of the

syllabus areas

equation solving is

incorporated

Middle School GPA High School GPAAffects transcripts sent to colleges

No laws of exponents

x x+ = −4 8 10 14 ( )x x− = −1

6 18 2 73

x x−− •5 39 8

x

x

+ −

−

3 9 18

9 [ , )

x x

x

+ − + −

3 9 8 1 30

8 8

Algebra 1 is a high school course. The grade earned at the end of

the year will become a part of the overall GPA placed on the high

school transcript that is sent as a part of college applications.

Students will take the Algebra 1 SOL test at the end of the year.

However, passing this in middle school does NOT count as the

one math SOL needed for graduation requirements. A math SOL

test to meet that requirement must be taken during the 4 years of

high school.

In Algebra 1, students will take a cumulative final exam.

(This is NOT true for students taking Pre-Algebra)

Quarter 1:

• Expressions and operations

• Equations and inequalities

• Functions

Quarter 2:

• Lines

• Systems of equations and inequalities

Quarter 3:

• Exponents and radical expressions

• Polynomials

• Quadratics

Quarter 4:

• Quadratics continued

• Variation

Each of the following criteria must be met for placement in Algebra I Honors at 7th grade:

▪ AAP 6 or a year-long accelerated mathematics course

▪ Iowa Algebra Aptitude Test (IAAT) score at or above the 91st

percentile

▪ A score of pass advanced (500 or above) on the Math 7 SOL test

By signing your child up for this course, you are also

signing your child up for Geometry HN as an 8th grader.

Algebra 1 honors classes are a mix of both 7th and

8th grade students.

This course is taught assuming prior knowledge of everything taught in math 7 honors.

The pacing of this course is quicker and more rigorous than Algebra 1.

If a student takes this course coming from math 7, there is a lot of independent out of class learning that will have to take place to meet the curriculum where it is taught.

Quarter 1:

• Expressions and operations

• Equations and inequalities

• Functions

Quarter 2:

• Lines

• Systems of equations and inequalities

Quarter 3:

• Exponents and radical expressions

• Polynomials

• Quadratics

Quarter 4:

• Quadratics continued

• Variation

*The syllabus topics

are the same for

Algebra 1 and

Algebra 1 HN.

Within the topics,

Algebra 1 HN does

ALL extensions. These

are noted on the

following slide.

The extension topics include:

▪ Absolute Value Equations

▪ Compound Inequalities

▪ Fractional exponents

▪ Set builder notation for both equations and inequalities

▪ Domain and range of piecewise functions

▪ Systems of inequality word problems

▪ Rationalizing the denominator

▪ Radical equations

▪ Add and subtract radical expressions

▪ Quadratic applications

Algebra 1 Algebra 1 Honors

( )− −

− −

3

2

3 13 5 7

9 3

( ) ( ) − 4 8 2 6

a b b a a b a b = − = −2 3 and

( )x

x

− − −

5 2 8 20

6 [6, )

45 5 2 8 20

6 8 5 [6 8 5

( )

. , . )

x

x

− − −−

x x x=324 2 6 x x

x=

7 2

3

63 3 14

8 4

Taking Algebra 1 HN in 7th grade offers the opportunity for Multivariable Calculus in 12th grade

Taking Math 7 HN in 7th grade or Algebra 1 or Algebra 1 HN in 8th grade offers the opportunity for AB or BC Calculus in 12th grade

Taking Math 7 in 7th grade or Pre-Algebra in 8th gradeoffers the opportunity for Pre-Calculus in 12th grade.

Ask your child: “What do you want to be taking your senior year of high school in mathematics?”

Lauryn Toomey ltoomey@fcps.edu

7th grade co-department chair

Wendy Kamen wbkamen@fcps.edu

8th grade co-department chair

David Van Vleet Dvanvleet@fcps.edu

(FCPS Middle School Math Education Specialist)

Rebecca Aguilar RJAguilar1@fcps.edu

Director of Student Services – Thoreau Middle School