Course 2 Online!
Henrico County Public Schools, Virginia
 Home Course 2 Pacing Accel 6/7 Pacing SOL Tracker Math 7 Standards Virginia Department Of Education Return to HCPS Math Courses Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL. As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
 Number, Number Sense, Computation and Estimation Measurement and Geometry Probability, Statistics, Patterns, Functions, and Algebra SOL Review Materials Frequently Asked Questions
 Patterns, Functions, and Algebra Focus: Linear Equations The student will represent relationships with tables, graphs, rules, and words. HCPS Course 2 Curriculum Guide
 Essential Knowledge and Skills Describe and represent relations and functions, using tables, graphs, rules, and words. Given one representation, students will be able to represent the relation in another form. Essential Understandings What are the different ways to represent the relationship between two sets of numbers? Rules that relate elements in two sets can be represented by word sentences, equations, tables of values, graphs or illustrated pictorially.
Vertical Articulation
• SOL 8.14 - make connections between any two representations (tables, graphs, words, rules)
• SOL A.7abcdef - investigate/analyze functions (linear/quadratic) families and characteristics (algebraically/graphically) - a) determine relation is function; b) domain/range; c) zeros; d) x- and yintercepts; e) find values of function for elements in domain; f) make connect between/among multiple representation of functions (concrete/verbal/numeric/graphic/algebraic)
Instructional Materials
Real World Lessons
1. Activity: Penny Jar Investigation (flipchart)
2. Mathalicious: Big Foot Conspiracy - Do people with small feet pay too much for shoes, and what would happen if Nike charged by weight?
3. Mathalicious: Fat Burner - What's the best way to exercise for fat burning?
Practice
SOL Mini Quiz
Skills
1. Mathematics Assessment Project
• A08:Buses - Apprentice - In this task, you will work with a distance-time graph describing a bus journey.
• A09:Sugar Prices - Apprentice - In this task, you must use a graph showing the prices and weights of bags of sugar to find the bag offering the best value for money.
• A02:Patchwork - Apprentice - Kate makes patchwork cushions using right triangles made from squares of material. In this task, you must investigate number patterns and to find a rule, or a formula, that will help Kate figure out the number of squares she needs for cushions of different sizes.
2. Representations: Crawling Crayfish (doc)
Videos
Explore Learning
1. ntroduction to Functions: Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation.
Websites
1. Rent-a-Car Activity
2. Game: General Coordinates - investigate the coordinate system through identifying or requesting coordinates at Shodor.org
3. Game: Maze- Investigate the coordinate system by directing a robot through a mine field at Shodor.org
4. Interactive: Function Machine - explore the concept of a function machine by inputting values and observing the output in a table at matti.usu.edu.
5. Interactive: Function Machine - investigate simple linear functions by trying to guess the algebraic form from inputs and outputs at Shodor.org.
6. Interactive: Function Machine - investigate simple linear functions by trying to guess the algebraic form from inputs and outputs at Shodor.org.
7. Interactive: Vertical Line Test - discovery activity that determines if a graph is a function at Shodor.org.
8. Interactive: Graphs and Functions- view images of graphs at Shodor.organd determine if they represent a function
VDOE Interventions
1. VDOE Algebra Readiness Curriculum Companion: Investigating Patterns, Functions, and Algebra - The lessons focus on algebraic reasoning. Students explore the relationships found in number patterns through arithmetic and geometric sequences using variables expressions. Additionally, students learn to solve equations and inequalities, first by using manipulatives and then by working with symbols. They use modeling to collect data, and they learn to record data so that they can see the
relationship that exists among tables, graphs, words, and equations. (pdf)
Common Core Standards
 6.RP.3a 6.EE.9 7.RP.2a 7.RP.2b 7.RP.2c 7.RP.2d 8.F.1 8.F.2