Seneca Valley School District s1

SENECA VALLEY SCHOOL DISTRICT

CURRICULUM

Course Title: Pre–Algebra and Pre-Algebra TE Course Number: Grade Level(s): 7 Periods Per Week: 5 Length of Period: 42 Minutes Length of Course: Full Year Credits: Faculty Author(s): Ken Kotula and Jay Roman Date: February 2, 2010

COURSE DESCRIPTIONS (from the 2009 – 2010 Program of Studies Grades 7 and 8):

Pre-Algebra is an integrated math course where students review and extend their basic math skills. The course is centered on algebra skills needed to solve equations using integers, decimals, and fractions. Students also learn the concepts of probability, statistics, and geometry. The relationship among percents, decimals, and fractions is also explored. Throughout the year, students practice answering open-ended questions.

Pre-Algebra TE is an integrated math course where students review and extend their basic math skills. The course is centered on algebra skills needed to solve equations using integers, decimals, and fractions. Students also learn the concepts of probability, statistics, and geometry. The relationship among percents, decimals, and fractions is also explored. Throughout the year, students practice answering open-ended questions. Instructional delivery will be technologically enhanced via the Compass Learning Odyssey Program in our state-of-the art computer labs. Students in Pre-Algebra TE will also be enrolled in the Assisted Instruction in Math (AIM) lab three days a week.

The state has developed Anchors (points of focus) in Mathematics. The anchors specify eligible content for the content areas. RESOURCES 1. Prentice Hall Pre-Algebra Textbook © 2007 2. PSSA Assessment Anchor COURSE OUTLINE SENECA VALLEY OBJECTIVES PROPOSED Coach Book Grade 7 © 2007 and based on TIME / 3. Compass Odyssey Learning LESSON REFLECTION OBJECTIVES PA ASSESSMENT ANCHORS (bolded) and ACTUAL Software (Technology PA STATE STANDARDS TIME Enhancement) (plain text) 4. SMART Sympodium 5. SMART Board 6. SMART Senteo Interactive Response System

I. Algebraic Expressions and Integers 4-5 Weeks

A. Variables and Expressions Match a written situation to its numeric and/or Prentice Hall 1.1 1. identify variables, numerical algebraic expression, equation or inequality (up Anchor Book Lesson 22 expressions and variable to two variables in equations or expressions - Compass – “Equations” expressions one variable with inequalities) by translating 2. write variable expressions for verbal expressions to mathematical expressions, word phrases equations, or inequalities. M7.D.2.2.1, M8.D.2.2.1, 2.8.8C

B. Order of Operations Simplify numeric expressions involving Prentice Hall 1.2 1. use the order of operations integers, using the order of operations Anchor Book Lesson 5 2. use grouping symbols (PEMDAS). M7.A.2.1.1, M8.A.2.1.1, Compass – “Order of Operations” 2.1.8A,B,E, 2.2.8B Cognitive Tutor 4

C. Writing and Evaluating Use substitution of one and/or two variables to Prentice Hall 1.3 Expressions simplify expressions. M7.D.2.1.2 Anchor Book Lesson 20 1. evaluate variable expressions Determine the value of an algebraic expression Compass – “Expressions” 2. solve problems by evaluating by simplifying and/or substituting a number for expressions the variable. M8.D.2.1.3, 2.1.8E

C. D. D. Integers and Absolute Value Solve problems involving addition and Prentice Hall 1.4 E. 1. represent, graph and order subtraction of integers. M7.A.3.2.2 Anchor Book Lesson 3 Pre-Algebra 7 –2– F. integers Find opposites and absolute values and to Compass – “Integers” 2. find opposites and absolute represent, graph, and order integers. 2.1.8F Compass – “Absolute Value” values SENECA VALLEY OBJECTIVES COURSE OUTLINE PROPOSED based on and TIME / RESOURCES LESSON REFLECTION PA ASSESSMENT ANCHORS (bolded) and OBJECTIVES ACTUAL PA STATE STANDARDS (plain text) TIME G. H. E. Adding Integers Solve problems involving addition and Prentice Hall 1.5 1. use models to add integers subtraction of integers. M7.A.3.2.2 Cognitive Tutor 5 2. use rules to add integers

F. Subtracting Integers Apply the four basic operations to various forms Prentice Hall 1.6 1. use models to subtract integers of numbers, including integers, fractions, and/or Cognitive Tutor 5 2. use a rule to subtract integers decimals with and without a calculator. M8.A.3.3.1, 2.2.8B, 2.4.8D

G. Inductive Reasoning (patterns) Describe, extend or find a missing element of a Prentice Hall 1.7 1. write rules for patterns pattern (show 3 repetitions of the pattern). Anchor Book Lesson 19 2. make predictions and test M7.D.1.1.1 Compass – “Patterns” (Grade 6) conjectures

H. Multiplying and Dividing Apply the four basic operations to various forms Prentice Hall 1.9 Integers of numbers, including integers, fractions, and/or Cognitive Tutor 6 1. multiply integers decimals with and without a calculator. 2. divide integers M7.A.3.2.1, M8.A.3.3.1, 2.2.8B, 2.4.8D

I. The Coordinate Plane Plot and/or identify ordered pairs on a Prentice Hall 1.10 1. name coordinates and quadrants coordinate plane (all four quadrants). Graphing Calculator Activity in the coordinate plane M7.C.3.1.1 Anchor Book Lesson 16 2. graph points in the coordinate Identify quadrants I, II, III, IV, the x and y-axes, Compass – “Coordinate Plane” plane and the origin on a coordinate plane.M7.C.3.1.2 (Grade 6) Plot points on a coordinate plane. M8.C.3.1.1, 2.8.8G

Pre-Algebra 7 –3– SENECA VALLEY OBJECTIVES COURSE OUTLINE PROPOSED based on and TIME / RESOURCES LESSON REFLECTION PA ASSESSMENT ANCHORS (bolded) and OBJECTIVES ACTUAL PA STATE STANDARDS (plain text) TIME

II. Solving One-Step Equations and Inequalities 3-4 Weeks

A. Distributive Property Apply the Distributive Property with numerical Prentice Hall 2.2 1. use the Distributive Property and algebraic expressions. 2.4.8B Compass – “Simplify Algebraic with numerical expressions Expressions” 2. use the Distributive Property with algebraic expressions

B. Simplifying Variable Expressions Simplify and identify parts of variable Prentice Hall 2.3 1. identify parts of a variable expressions. 2.4.8B expression 2. simplify expressions

C. Solving Equations by Adding or Given a real life situation create, write, and/or Prentice Hall 2.5 Adding the Opposite solve an equation for a given problem situation Anchor Book Lesson 21 1. solve one-step equations using with one variable. M8.D.2.2.2, 2.1.8G Compass – “One-Step Linear addition Equations” 2. solve one-step equations using Cognitive Tutor 9 subtraction

D. Solving Equations by Multiplying Use the rules for addition, subtraction, Prentice Hall 2.6 or Dividing multiplication, and division to solve equations Anchor Book Lesson 21 1. solve one-step equations using and inequalities that apply to real life situations. Cognitive Tutor 9 division M8.D.2.1.1, 2.1.8G 2. solve one-step equations using multiplication

E. Inequalities and their Graphs Use the rules for addition, subtraction, Prentice Hall 2.8 1. graph inequalities multiplication, and division to solve equations 2. write inequalities and inequalities that apply to real life situations. M8.D.2.1.1, 2.1.8G Pre-Algebra 7 –4– SENECA VALLEY OBJECTIVES COURSE OUTLINE PROPOSED base on and TIME / RESOURCES LESSON REFLECTION PA ASSESSMENT ANCHORS (bolded) and OBJECTIVES ACTUAL PA STATE STANDARDS (plain text) TIME J. K. F. Solving one-step Inequalities by Use the rules for addition, subtraction, Prentice Hall 2.9 L. Adding or Adding the Opposite multiplication, and division to solve equations M. 1. solve one-step inequalities using and inequalities that apply to real life situations. addition M8.D.2.1.1, 2.1.8G 2. solve one-step inequalities using subtraction

G. Solving One-Step Inequalities by Use the rules for addition, subtraction, Prentice Hall 2.10 Multiplying or Dividing multiplication, and division to solve equations 1. solve one-step inequalities using and inequalities that apply to real life situations. division M8.D.2.1.1, 2.1.8G 2. solve one-step inequalities using multiplication

III. Decimals and Equations 2+ Weeks

A. Rounding and Estimation Estimate answers involving whole numbers, Skip 3.1 in Textbook decimals, fractions or mixed numbers. Anchor Book Lesson 10 M7.A.3.1.1

B. Estimating Decimal Products Estimate answers involving whole numbers, Skip 3.2 in Textbook and Quotients decimals, fractions or mixed numbers. Anchor Book Lesson 10 M7.A.3.1.1

C. Mean, Median, and Mode Determine the mean, median, mode, or range of Prentice Hall 3.3 1. find the mean, median, and a set of data using the given data. M7.E.2.2.1, Graphing Calculator Activity mode of a set of data 2.6.8A Anchor Book Lessons 27 and 28 2. choose the best measure of Choose which measure of central tendency is Compass – “Mean” central tendency appropriate for the given situation. M7.E.2.2.2, 2.6.8A

E. Solving Equations by Adding or Apply the four basic operations to various forms Prentice Hall 3.5 Adding the Opposite with Decimals of numbers, including integers, fractions, and/or - solve one-step decimal equations decimals with and without a calculator. involving addition & subtraction M8.A.3.3.1, 2.2.8B, 2.4.8D

F. Solving Equations by Multiplying Use rules for operations to solve equations in Prentice Hall 3.6 and Dividing Decimals real life situations. M8.D.2.1.1, 2.1.8G -solve one-step decimal equations Given a real life situation create, write, and/or involving multiplication & division solve an equation for a given problem situation using inverse operations with one variable. M8.D.2.2.2, 2.1.8G

IV. Factors, Fractions, and Exponents 2+ Weeks

A. Exponents Simplify numeric expressions involving Prentice Hall 4.2 1. use exponents integers, using the order of operations Compass – “Exponents” 2. use the order of operations with (PEMDAS). M7.A.2.1.1, M8.A.2.1.1, exponents 2.1.8A,B,E, 2.2.8B Find the square or cube of a whole number (single digit) by multiplying the base by itself. M8.A.1.1.2, 2.1.8A

B. Simplifying Fractions Simply fractions. 2.2.8B Prentice Hall 4.4 1. find equivalent fractions 2. write fractions in simplest form

C. Rational Numbers Compare and/or order integers, mixed numbers, Prentice Hall 4.6 1. identify and graph rations fractions and decimals (fractions and decimals numbers may be mixed – no more than 5 numbers in a set 2. evaluate fractions containing to be ordered). M7.A.1.2.1 variables Locate/identify decimals, fractions, mixed numbers and/or integers on a number line (a Pre-Algebra 7 –6– mix of these number forms may be on the same number line). M7.A.1.2.2 SENECA VALLEY OBJECTIVES COURSE OUTLINE PROPOSED based on and TIME / RESOURCES LESSON REFLECTION PA ASSESSMENT ANCHORS (bolded) and OBJECTIVES ACTUAL PA STATE STANDARDS (plain text) TIME

V. Operations with Fractions 2-3 Weeks

A. Comparing and Ordering Compare and/or order whole numbers, fractions, Prentice Hall 5.1 Rational Numbers and decimals. M7.A.1.2.1, 2.1.8C (second objective only) 1. compare fractions Anchor Book Lesson 2

B. Fractions and Decimals Convert between fractions, decimals, and/or Prentice Hall 5.2 1. write fractions as decimals percents. M7.A.1.1.1, 2.1.8A Compass – “Order of Operations” 2. write terminating and repeating (Lesson: Fractions, Decimals, decimals as fractions. Percents)

C. Adding and Subtracting Apply the four basic operations to various forms Prentice Hall 5.3 Fractions of numbers, including integers, fractions, and/or Cognitive Tutor 16 1. add and subtract fractions decimals with and without a calculator. 2. add and subtract mixed numbers M7.A.3.2.1, M8.A.3.3.1, 2.2.8B, 2.4.8D

D. Multiplying and Dividing Apply the four basic operations to various forms Prentice Hall 5.4 Fractions of numbers, including integers, fractions, and/or Compass – “Fraction” (Page 2) 1. multiply fractions decimals with and without a calculator. 2. divide fractions M7.A.3.2.1, M8.A.3.3.1, 2.2.8B, 2.4.8D Add and subtract fractions and mixed numbers. 2.1.8B, 2.4.8D

E. Solving Equations by Adding or Use the rules for addition, subtraction, Prentice Hall 5.7 Adding the Opposite with multiplication, and division to solve equations Compass – “Conversions” Fractions and inequalities that apply to real life situations. 1. solve equations by adding the M8.D.2.1.1, 2.1.8G opposite 2. solve equations by adding fractions

F. Solving Equations by Multiplying Simplify numeric expressions involving Prentice Hall 5.8 Fractions integers, using the order of operations Compass – “Rational Numbers” 1. solve equations by multiplying (PEMDAS). M8.A.2.1.1, 2.1.8A,B,E, 2.2.8B (Lesson: Addition/Subtraction and fractions Lesson: Multiplication/Division) 2. solve equations by multiplying (Does not have mixed numbers) mixed numbers

VI. Customary Units and Metric System 1-2 Weeks N. O. A. Using the Metric System Add, subtract, or convert measurements, using Prentice Hall 3.7 P. 1. identify appropriate metric only the units below, with and without Anchor Book Lesson 11 Q. measures regrouping, (e.g., 4 ft – 2 ft. 5 in. = 1 ft. 7in.). Compass – “Customary Units,” 2. convert metric units Answer should be converted to the largest “Conversions,” “Time” whole unit, (e.g., 36 oz. = 2 lbs. 5 oz. or 39 in. = 1 yd. 3 in.). M7.B.1.1.1 •sec., min., hours, days • milli, centi, and kilo (m, g, or L) Convert among metric measurements (milli, centi, kilo, using meter, liter, gram). M8.B.1.1.1, 2.3.5D

B. Using Customary Units of -Add, subtract, or convert measurements, using Prentice Hall 5.5 Measurement only the units below, with and without Anchor Book Lesson 11 1. identify appropriate customary regrouping, (e.g., 4 ft. – 2 ft. 5 in. = 1 ft. 7 in.). Compass – “Customary Units” units Answer should be converted to the largest **Adding and Borrowing 2. convert customary units whole unit, (e.g., 36 oz. = 2 lbs. 5 oz. or 39 in. = “Time” – asks which is the best 1 yd. 3 in.). M7.B.1.1.1 measure •In., ft., yds. **Converting •fl., oz., cup, pint, quart, gallon •oz., lb. •sec., min., hours, days -Convert customary measurements up to 2 units above or below the given unit (e.g., inches to yards, pints to gallons). M8.B.1.1.2, 2.3.5D

VII. Formulas, Area, Perimeter 2-3 Weeks

A. Using Formulas Determine the appropriate type of measurement Prentice Hall 3.4 1. substitute into formulas (circumference, perimeter, area,, volume) for a 2. use the formula for the given situation. M8.B.2.3.3, 2.9.5 A perimeter of a rectangle

B. Area: Parallelograms Develop and or use strategies to find the Prentice Hall 10.1 1. find areas of rectangles perimeter and/or area of compound figures Compass – “Area” 2. find areas of parallelograms (compound figures should only include quadrilaterals and triangles). M7.B.2.1.1, 2.3.8A, 2.9.8C,D Find the area of triangles and/or all types of parallelograms. M7.B.2.1.3, 2.3.8A, 2.9.8C,D

C. Area: Triangles and Trapezoids Develop and or use strategies to find the Prentice Hall 10.2 1. find areas of triangles perimeter and/or area of compound figures Compass – “Triangles” (Lesson: 2. find areas of trapezoids (compound figures should only include Area and Perimeter) (Grade 6) quadrilaterals and triangles). M7.B.2.1.1, 2.3.8A, 2.9.8C,D Find the area of triangles and/or all types of parallelograms. M7.B.2.1.3, 2.3.8A, 2.9.8C,D

D. Perimeter of Area of Polygons Develop and/or use strategies to find the and Compound Figures perimeter and/or area of compound figures. Anchor Book Lesson 12 1. find the areas of rectangles (Compound figures should only include Prentice Hall 10.1 2. find the areas of parallelograms quadrilaterals and triangles.) Area formulas Compass – “Area” provided on the reference sheet. M7.B.2.1.1 Find the area of triangles and/or all types of parallelograms. Formulas are provided on the reference sheet. M7.2.1.3

E. Parts of Circles Identify, describe, and/or define diameter, radius, Anchor Book Lesson 15 1. identify parts of circles chord and/or circumference in circles. 2. solve problems with circles M7.C.1.1.1 Solve problems involving the relationship between the radius and diameter of the same circle. M7.C.1.1.2

F. Area and Circumference of Find the circumference and/or area of circles. Prentice Hall 9.6 Circles Formulas are provided on the reference sheet. (first objective only) 1. find circumferences of circles M7.B.2.1.2 Prentice Hall 10.3 2. find areas of circles Determine the appropriate type of measurement Anchor Book Lesson 13 (circumference, perimeter, area, surface area, Compass – “Circles” volume) for a given situation. M8.B.2.3.3, 2.3.8A,D

VIII. Ratios, Proportions, and Percents 2-3 Weeks

A. Ratios and Unit Rates Select and/or use ratios or proportions to solve Prentice Hall 6.1 1. write and simplify ratios problems. M7.A.2.2.5,2.2.8D Anchor Book Lessons 6, 7, 23 2. find rates and unit rates Write ratios to compare given quantities. Compass – “Ratios” (Lesson: M7.A.2.2.1, 2.2.8D Rates/Ratios) Calculate and/or apply unit rates or unit prices. (Proportions, rates and ratios are all M7.A.2.2.4, 2.2.8.D in this Compass section.) Represent or solve rate problems (e.g., unit Cognitive Tutor 19 rates, simple interest, distance, etc.). M8.A.2.2.2, 2.2.8 D

B. Proportions Select and/or use ratios or proportions to solve Prentice Hall 6.2 1. solve proportions problems. M7.A.2.2.5, 2.2.8D Anchor Book Lessons 8 2. use proportions to solve Solve for a variable in a given proportion. Compass – “Ratios” (Lesson: problems M7.A.2.2.2, 2.3.8F Rates/Ratios) Cognitive Tutor 19

C. Similar Figures and Scale Select and/or use ratios or proportions to solve Prentice Hall 6.3 Drawings problems. M7.A.2.2.5, 2.2.8D Anchor Book Lesson 14 1. solve problems that involve Use proportions to determine if two quantities Compass – “Ratios” (Lesson: similar figures are equivalent M7.A.2.2.3, 2.1.8D, 2.5.8A,C,D Rates/Ratios) 2. solve problems that involve Use proportions to find the missing length in a (Proportions, rates and ratios are all scale drawings side of similar figures. M7.A.2.2.7, 2.1.8D, in this Compass section.) 2.5.8.A,C,D Compass – “Similar Figures” Interpret and/or apply scales shown on maps, Compass – “Scale Drawings” blueprints, models, etc. M7.B.2.3.1, 2.3.8F Determine and/or apply an appropriate scale for reduction or enlargement M7.B.2.3.2, 2.3.8F

D. Fractions, Decimals and Percents Estimate answers to problems involving Prentice Hall 6.5 1. write percents as fractions percents such as, 1%, 10%, 15%, 20%, 25%, Anchor Book Lesson 1 2. write decimals and fractions as 50% or 75%. M8.A.3.2.1, 2.5.8A,C,D Cognitive Tutor 20 percents

IX. Data Analysis and Probability 2+ Weeks

A. Probability Find the probability for a mutually exclusive or Prentice Hall 6.4 1. find probability an independent event. M8.E.3.1.1, 2.7.8E Anchor Book Lesson 29, 30 2. find odds Compass – “Probability” Cognitive Tutor 29

B. Counting Outcomes and Find the theoretical probability of an event not Prentice Hall 12.4 Theoretical Probability occurring. M7.E.3.1.2, 2.7.8E 1. use a tree diagram and the Counting Principle 2. find the theoretical probability

C. Experimental Probability Use data displayed in charts, graphs, or tallies to Prentice Hall 12.7 1. find experimental probability find experimental probability. M7.E.3.1.3 Pre-Algebra 7 –11– 2. use simulations Find the probability for a mutually exclusive or independent event M8.E.3.1.1, 2.7.5D

SENECA VALLEY OBJECTIVES COURSE OUTLINE PROPOSED based on and TIME / RESOURCES LESSON REFLECTION PA ASSESSMENT ANCHORS (bolded) and OBJECTIVES ACTUAL PA STATE STANDARDS (plain text) TIME

D. Independent and Dependent Find the probability of independent and Prentice Hall 12.5 Events dependent events. Find the probability for a Compass – “Probability” 1. calculate probabilities of mutually exclusive or independent event independent events (written as a fraction in simplest form). 2. calculate probabilities of M8.E.3.1.1, 2.7.5G dependent events

X. PSSA Preparation 1-2 Weeks

A. Using Operations to Solve Solve problems involving operations (+, -, x, /) Anchor Book Lesson 9 Problems of whole numbers, decimals, fractions, or mixed numbers (straight computation or word problems). M7.A.3.2.1

B. Stem-and-Leaf Plots Analyze data and/or answer questions pertaining Activity Lab 12.2 (Page 646) to data represented in stem-and-leaf plots. Anchor Book Lesson 24 M7.E.1.1.1 Compass – “Plots”

C. Double Bar Graphs and Double Analyze data and/or answer questions pertaining Anchor Book Lesson 25 Line Graphs to data represented in double bar graphs and multiple line graphs. M7.E.1.1.1

E. Histograms Analyze data and/or answer questions pertaining Anchor Book Lesson 26 to data represented in histograms. M7.E.1.1.1

F. Making Predictions from Data Formulate predictions and/or draw conclusions Anchor Book Lesson 31 based on data displays (bar graphs, circle graphs or line graphs) or probability. M7.E.4.1.1

I. Congruent and Similar Polygons Identify and/or use polygons that are similar Anchor Book Lesson 17 - identify corresponding parts of and/or congruent, given either measurements or Prentice Hall 9.5 congruent triangles tic and angle marks. M7.C.1.2.1 Identify corresponding sides and/or angles of congruent or similar polygons. M7.C.1.2.2

R. S. J. Line Segments in Three- Identify parallel, perpendicular and/or skew line Anchor Book Lesson 18 T. Dimensional Figures segments within three-dimensional figures. Prentice Hall 9.1 U. 1. name basic geometric figures M7.C.1.1.3 V. 2. recognize intersecting lines, W. parallel lines, and skew lines

XI. Proportions, Percents, Markup, and Discount 2+ Weeks

A. Proportions and Percents Solve problems involving percents (e.g., tax, Prentice Hall 6.6 1. find a part of a whole and a discounts, etc.) Do not include percent increase Compass – “Ratios” percent and decrease. M8.A.2.2.1, 2.2.8 D, 2.5.8 A,C,D Cognitive Tutor 22 2. find a whole amount

B. Percents and Equations Solve problems involving percents (e.g., tax, Prentice Hall 6.7 1. write and solve percent discounts, etc.) Do not include percent increase Compass – “Ratios” equations and decrease. M8.A.2.2.1, 2.2.8 D, 2.5.8 A,C,D 2. use equations in solving percent Use percents to solve real life problems. problems M8.A.2.2.1, 2.1.8A, 2.2.8B,D

C. Markup and Discount Use percents to solve real life problems. Prentice Hall 6.9 1. find markups M8.A.2.2.1, 2.1.8A, 2.2.8B,D 2. find discounts

XII. Solving Equations and Inequalities 4-5 Weeks

A. Solving Two-Step Equations Solve two-step equations. 2.1.8G Prentice Hall 7.1 1. solve two-step equations Compass – “Equations” 2. use two-step equations to solve Cognitive Tutor 34 problems

B. Solving Multi-Step Equations Solve multi-step equations by combining like Prentice Hall 7.2 1. combine like terms to simplify terms and applying the distributive property. an equation 2.1.8G 2. use the Distributive Property to simplify an equation

C. Multi-Step Equations with Solve multi-step equations with fractions and Prentice Hall 7.3 Fractions and Decimals decimals. 2.1.8G 1. solve multi-step equations with fractions 2. solve multi-step equations with decimals

D. Write an Equation Match a written situation to its numeric and/or Prentice Hall 7.4 - write an equation to solve a algebraic expression, equation or inequality (up **Supplement with worksheets problem to two variables in equations or expressions - one variable with inequalities) by translating verbal expressions to mathematical expressions, equations, or inequalities. M7.D.2.2.1, M8.D.2.2.1, 2.8.8C

E. Solving Equations with Solve equations with variables on both sides. Prentice Hall 7.5 Variables on Both Sides 2.1.8G 1. solve equations with variables on both sides 2. use equations with variables on both sides

F. Solving Two-Step Inequalities Solve two-step inequalities. 2.8.8E Prentice Hall 7.6 1. solve two-step inequalities 2. use two-step inequalities to solve problems

Pre-Algebra 7 –15–