Central Dauphin School District / Overview



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Pre-Algebra Course Timeline (2015-2016)

Unit 1, Part 1: (Yellow Copies)

Essential Question: How do we evaluate and simplify expressions and write algebraic expressions and equations?

• Lesson 1-2: Numbers and Expressions (Textbook Pages 32-34)

o Essential Questions: How do you use the order of operations to evaluate numerical and algebraic expressions? How do you translate phrases and sentences into algebraic expressions and equations?

o Key Vocabulary: numerical expressions, evaluate

• Lesson 4-1: Powers and Exponents (Textbook Pages 180-182)

o Essential Questions: How do you use the order of operations to evaluate numerical and algebraic expressions? How do you translate phrases and sentences into algebraic expressions and equations?

o Key Vocabulary: factor, base, exponent, power

• Lesson 1-3: Variables and Expressions (Textbook Pages 37-39)

o Essential Question: How do you use the order of operations to evaluate numerical and algebraic expressions? How do you translate phrases and sentences into algebraic expressions and equations?

o Key Vocabulary: algebra, variable, algebraic expression

• Lesson 1-4: Properties (Textbook Pages 43-45)

o Essential Question: How can the properties of numbers be used to simplify algebraic expressions and be applied to real-world situations?

o Key Vocabulary: counterexample, simplify

• Lesson 1-5: Variables and Equations (Textbook Pages 49-51)

o Essential Question: How do you translate phrases and sentences into algebraic expressions and equations?

o Key Vocabulary: equation, open sentence

Unit 1, Part 1 Test Score: _______%

Unit 1, Part 2: (Pink Copies)

Unit Essential Question: How do we compare and order integers, solve real-world problems involving integers, and construct graphical representations?

• Lesson 2-1: Integers and Absolute Value (Textbook Pages 78-80)

o Essential Question: How do we compare and order integers and find the absolute value of an expression?

o Key Vocabulary: integers, negative number, inequality, absolute value

Integer Operations

• Lesson 2-2: Adding Integers (Textbook Pages 86-88)

o Essential Question: How do we calculate the results of integer operations and use these

methods to translate real-world problems into numerical expressions that can be solved?

o Key Vocabulary: opposite, additive inverse

• Lesson 2-3: Subtracting Integers (Textbook Pages 93-95)

o Essential Question: How do we calculate the results of integer operations and use these

methods to translate real-world problems into numerical expressions that can be solved?

o Key Vocabulary: add the opposite

• Mid-Unit 1, Part 2 Quiz

Mid-Unit 1, Part 2 Quiz Score: _______ %

Lesson 2-4: Multiplying Integers (Textbook Pages 100-102)

o Essential Question: How do we calculate the results of integer operations and use these

methods to translate real-world problems into numerical expressions that can be solved?

• Lesson 2-5: Dividing Integers (Textbook Pages 106-108)

o Essential Question: How do we calculate the results of integer operations and use these

methods to translate real-world problems into numerical expressions that can be solved?

• Lessons 1-6: Ordered Pairs and Relations and 2-6: The Coordinate System: (Textbook Pages 54-56 and Pages 111-113)

o Essential Question: How do we graph points and algebraic relationships on a coordinate plane?

o Key Vocabulary: coordinate system, y-axis, coordinate plane, origin, quadrants, x-axis, ordered pair, x-coordinate, y-coordinate, graph, relation, domain, range

Unit 1, Part 2 Test Score: _______%

Unit 1, Part 3: (Blue Copies)

Unit Essential Question: How do we use rational numbers and the appropriate operations to solve problems

and justify solutions?

• Lesson 5-1: Writing Fractions as Decimals (Textbook Pages 228-231)

o Essential Question: How do we convert, classify, and compare rational numbers?

o Key Vocabulary: terminating decimal, mixed number, repeating decimal, bar notation

• Lesson 5-2: Rational Numbers (Textbook Pages 234-236)

o Essential Question: How do you classify types of numbers?

o Key Vocabulary: natural numbers, whole numbers, integers, rational numbers

Operations on Fractions

Lesson 5-3: Multiplying Rational Numbers (Textbook Pages 239-241)

o Essential Question: How do you multiply fractions?

• Lesson 5-4: Dividing Rational Numbers (Textbook Pages 245-247)

o Essential Question: How do you divide fractions?

o Key Vocabulary: multiplicative inverse = reciprocal

Mix Lessons 5-3 and 5-4

• Mid-Unit 1, Part 3 Quiz

Mid-Unit 1, Part 3 Quiz Score: _______ %

• Lesson 5-5: Adding/Subtracting Like Fractions (Textbook Pages 250-252)

o Essential Question: How do you add and subtract like fractions?

o Key Vocabulary: like fractions

• Lesson 5-7: Adding and Subtracting Unlike Fractions (Textbook Pages 263-265)

o Essential Question: How do you add and subtract unlike fractions?

o Key Vocabulary: unlike fractions, common denominator

Unit 1, Part 3 Test Score: _______%

Unit 2, Part 1: (Green Copies)

Unit Essential Question: How do we use the tools of writing and solving algebraic equations to solve problems?

• Lesson 3-1: The Distributive Property (Textbook Pages 124-126)

o Essential Question: How can the distributive property and like terms be used to simplify and factor algebraic expressions?

o Key Vocabulary: distributive property

• Lesson 3-2: Simplifying Algebraic Expressions (Textbook Pages 129-131)

o Essential Question: How can the distributive property and like terms be used to simplify and

factor algebraic expressions?

o Key Vocabulary: term, coefficient, like terms, constant

• Lesson 4-3b: Simplifying Algebraic Expressions (Textbook Pages 191-193)

o Essential Question: How can the distributive property and like terms be used to simplify and

factor algebraic expressions?

o Key Vocabulary: factor, greatest common factor

Writing and Solving One-Step Algebraic Equations

• Lesson 3-3: Solving Equations by Addition/Subtraction (Textbook Pages 136-138)

o Essential Question: How can we write and solve one-step equations to solve problems?

o Key Vocabulary: inverse operation

Lesson 3-4: Solving Equations by Multiplication/Division (Textbook Pages 141-143)

o Essential Question: How can we write and solve one-step equations to solve problems?

o Key Vocabulary: inverse operation

Mix Lessons 3-3 and 3-4

• Mid-Unit 2, Part 1 Quiz

Mid-Unit 2, Part 1 Quiz Score: _______ %

Writing and Solving Two-Step Algebraic Equations

• Lesson 3-5: Solving Two-Step Equations (Textbook Pages 147-149)

o Essential Question: How can we write and solve two-step equations to solve problems?

o Key Vocabulary: two-step equation

• Lesson 3-6: Writing Two-Step Equations (Textbook Pages 153-155)

o Essential Question: How can we write and solve two-step equations to solve problems?

• Calculator Usage

Unit 2, Part 1 Test Score: _______%

Unit 2, Part 2: (Yellow Copies)

Unit Essential Question: How do we use the tools of writing and solving algebraic inequalities (and

graphing their solutions) to solve problems?

Lesson 8-3: Inequalities (Textbook Pages 430-432)

o Essential Question: How do we write, graph, and determine the truth of inequalities?

o Key Vocabulary: inequality

Writing and Solving One-Step Inequalities

• Lesson 8-4: Solving Inequalities by Addition/Subtraction (Textbook Pages 435-437)

o Essential Question: How can we write and solve one-step inequalities and use the graph of their solutions to solve problems?

• Lesson 8-5: Solving Inequalities by Multiplication/Division (Textbook Pages 441-443)

o Essential Question: How can we write and solve one-step inequalities and use the graph of their solutions to solve problems?

Writing and Solving Two-Step Inequalities

Lesson 8-6: Solving Multi-Step Inequalities (Textbook Pages 446-448)

o Essential Question: How can we write and solve two-step inequalities and use the graph of their solutions to solve problems?

Unit 2, Part 2 Test Score: _______%

Unit 3, Part 1: (Pink Copies)

Unit Essential Question: How do we use ratios and proportions to solve real-world problems?

Lesson 6-1: Ratios and Rates (Textbook Pages 292-294)

o Essential Question: How do we use ratios and unit rates to solve problems?

o Key Vocabulary: ratio, rate, unit rate

• Lesson 6-3: Using Proportions (Textbook Pages 302-304)

o Essential Question: How do we use proportions and our understanding of scale to solve problems?

o Key Vocabulary: proportion

• Mid-Unit 3, Part 1 Quiz

Mid-Unit 3, Part 1 Quiz Score: _______ %

Lesson 6-4: Scale Drawings and Models (Textbook Pages 308-310)

o Essential Question: How do we use proportions and our understanding of scale to solve problems?

o Key Vocabulary: scale drawing, scale model, scale, scale factor

• Lesson 9-6: Similar Figures and Indirect Measurement (Textbook Pages 497-499)

o Essential Question: How do we use proportions and our understanding of scale to solve problems?

o Key Vocabulary: similar figures, corresponding sides

Unit 3, Part 1 Test Score: _______%

Unit 3, Part 2: (Blue Copies)

Unit Essential Question: How do we use percent to solve problems and make predictions?

• Lesson 6-5: Fractions, Decimals, and Percents (Textbook Pages 313-315)

o Essential Question: How do we convert between fractions, decimals, and percent?

o Key Vocabulary: percent

Lesson 6-6: Using the Percent Proportion (Textbook Pages 322-324)

o Essential Question: How do we use the percent proportion or the percent equation to solve

problems (including percent of change)?

o Key Vocabulary: percent proportion

• Mid-Unit 3, Part 2 Quiz

Mid-Unit 3, Part 2 Quiz Score: _______ %

• Lesson 6-8: Using Percent Equations (Textbook Pages 332-334)

o Essential Question: How do we use the percent proportion or the percent equation to solve

problems (including percent of change)?

o Key Vocabulary: percent equations, discount, interest, principal

• Lesson 6-9: Percent of Change (Textbook Pages 338-340)

o Essential Question: How do we use the percent proportion or the percent equation to solve

problems (including percent of change)?

o Key Vocabulary: percent of change, percent of increase, percent of increase

Simple Interest (Textbook Pages 338-340)

o Essential Question: How do we use the Simple Interest Formula to solve problems?

o Key Vocabulary: simple interest, principal, interest rate

• Lesson 6-10: Using Sampling to Predict (Textbook Pages 343-345)

o Essential Question: How do we make predictions using data from random samples?

o Key Vocabulary: sample, population, biased sample, unbiased sample

Unit 3, Part 2 Test Score: _______%

Unit 3, Part 3: (Green Copies)

Unit Essential Question: How do we use rate of change and proportional relationships to make predications and solve problems?

• Lesson 7-3: Rate of Change (Textbook Pages 371-373)

o Essential Question: How can rate of change be used to describe a relationship?

o Key Vocabulary: rate of change

• Lesson 6-2: Proportional and Nonproportional Relationships (Textbook Pages 297-298)

o Essential Question: How can we use proportional relationships, including direct variation, to solve problems?

o Key Vocabulary: proportional, nonproportional, constant of proportionality

• Lesson 7-4: Constant Rate of Change and Direct Variation (Textbook Pages 376-379)

o Essential Questions: How can rate of change be used to describe a relationship? How can we use proportional relationships, including direct variation, to solve problems?

o Key Vocabulary: linear relationship, constant rate of change, direct variation, constant of variation

Unit 3, Part 3 Test Score: _______%

Unit 4, Part 1: (Yellow Copies)

Unit Essential Question: How do we use properties of two-dimensional figures, such as triangles, parallel lines, and geometric formulas to solve problems?

Lesson 9-3: Triangles (Textbook Pages 476-478)

o Essential Question: How do we solve problems dealing with sides or angles of a triangle?

o Key Vocabulary: acute angle, obtuse angle, right angle, straight angle, triangle, vertex, acute triangle, obtuse triangle, right triangle, scalene triangle, isosceles triangle, equilateral triangle, congruent

• Triangle Inequality Theorem (not in textbook)

o Essential Question: How do we solve problems dealing with sides or angles of a triangle?

o Key Vocabulary: triangle inequality theorem

• Lesson 10-1: Line and Angle Relationships (Textbook Pages 512-515)

o Essential Question: How do we solve problems on angle relationships?

o Key Vocabulary: parallel lines, transversal, interior angles, exterior angles, alternate interior angles, alternate exterior angles, corresponding angles, vertical angles, adjacent angles, complementary angles, supplementary angles, perpendicular lines

• Mid-Unit 4, Part 1 Quiz

Mid-Unit 4, Part 1 Quiz Score: _______ %

Area and Using Formulas

• Lessons 10-6: Area- Parallelograms, Triangles, and Trapezoids and 3-8: Using Formulas (Textbook Pages 162-164 and Pages 545-548)

o Essential Question: How do we solve problems using area, perimeter, and circumference formulas?

o Key Vocabulary: perimeter, area, base, altitude, parallelograms, trapezoids

• Lesson 10-7: Circles: Circumference and Area (Textbook Pages 551-553)

o Essential Question: How do we solve problems using area, perimeter, and circumference formulas?

o Key Vocabulary: circle, diameter, radius, center, circumference, pi

• Lesson 10-8: Area of Composite Figures (Textbook Pages 558-560)

o Essential Question: How do we solve problems using area, perimeter, and circumference formulas?

o Key Vocabulary: composite figures

Unit 4, Part 1 Test Score: _______%

Unit 4, Part 2: (Pink Copies)

Unit Essential Question: How do we examine the different properties of three-dimensional figures and use these properties to solve problems?

Lesson 11-1: Three-Dimensional Figures (Textbook Pages 575-578)

o Essential Question: How do we identify the name, parts, and cross-sections of three-dimensional figures?

o Key Vocabulary: plane, solid, polyhedron, edge, vertex, face, prism, base, pyramid, cylinder, cone

• Slices of Three-Dimensional Figures (not in textbook)

o Essential Question: How do we identify the name, parts, and cross-sections of three-dimensional figures?

o Key Vocabulary: slices

Volume and Surface Area of Three-Dimensional Figures

• Lesson 11-2: Volume of Prisms and Cylinders (Textbook Pages 583-585)

o Essential Question: How do we use volume and surface area formulas to solve problems?

o Key Vocabulary: volume

• Lesson 11-3: Volume: Pyramids, Cones, and Spheres (Textbook Pages 589-594)

o Essential Question: How do we use volume and surface area formulas to solve problems?

• Lesson 11-4: Surface Area: Cubes and Prisms (Textbook Pages 597-599)

o Essential Question: How do we use volume and surface area formulas to solve problems?

o Key Vocabulary: surface area

Unit 4, Part 2 Test Score: _______%

Unit 4, Part 3: (Blue Copies)

Unit Essential Question: How do we solve problems in statistics and probability?

• Lesson 5-9: Measures of Central Tendency (Textbook Pages 274-277)

o Essential Question: How do we use mean, median, and mode as measures of central tendency?

o Key Vocabulary: measures of central tendency, mean, median, mode

• Lesson 12-7: Simple Probability (Textbook Pages 665-667)

o Essential Question: How do we find the probability of simple or compound events?

o Key Vocabulary: outcomes, simple event, probability, sample space, theoretical probability, experimental probability

• Lesson 12-8: Counting Outcomes (Textbook Pages 670-672)

o Essential Question: How do we find the probability of simple or compound events?

o Key Vocabulary: tree diagram, fundamental counting principle (FCP)

• Lesson 12-10: Probability of Composite Events (Textbook Pages 682-684)

o Essential Question: How do we find the probability of simple or compound events?

o Key Vocabulary: composite events, independent events, dependent events, mutually exclusive events

Unit 4, Part 3 Test Score: _______%

Unit 5, Part 1: (Green Copies)

Unit Essential Question: How do we write and solve multi-step equations and inequalities with variables on both sides and with grouping symbols?

Lesson 8-1: Solving Equations with Variables on Each Side (Textbook Pages 420-421)

o Essential Question: How do we write and solve equations or inequalities with variables on both sides?

• Lesson 8-2: Solving Equations with Grouping Symbols (Textbook Pages 424-426)

o Essential Question: How do we write and solve equations or inequalities with grouping symbols?

• Lesson 8-6: Solving Multi-Step Inequalities (Textbook Pages 446-448)

o Essential Question: How do we write and solve equations or inequalities with variables on both sides? How do we write and solve equations or inequalities with grouping symbols?

Unit 5, Part 1 Test Score: _______%

Unit 5, Part 2: (Yellow Copies)

Unit Essential Question: How do we solve problems using graphs and solutions of linear functions?

Lesson 7-1: Functions (Textbook Pages 359-361)

o Essential Question: How do you define and represent functions, and use linear functions and their graphs to solve problems?

o Key Vocabulary: function, vertical line test

• Lesson 7-2: Representing Linear Functions (Textbook Pages 365-367)

o Essential Question: How do you define and represent functions, and use linear functions and their graphs to solve problems?

o Key Vocabulary: linear equation

• Mid-Unit 5, Part 2 Quiz

Mid-Unit 5, Part 2 Quiz Score: _______ %

• Lesson 7-5: Slope (Textbook Pages 384-386)

o Essential Question: How do you graph and write equations in slope-intercept form to solve problems?

o Key Vocabulary: slope

• Solving Equations for y in terms of x (not in textbook)

o Essential Question: How do you graph and write equations in slope-intercept form to solve problems?

• Lesson 7-6: Slope-Intercept Form (Textbook Pages 391-393)

o Essential Question: How do you graph and write equations in slope-intercept form to solve problems?

o Key Vocabulary: y-intercept, slope-intercept form

• Lesson 7-7: Writing Linear Equations (Textbook Pages 397-400)

o Essential Question: How do you graph and write equations in slope-intercept form to solve problems?

• Lesson 7-8: Prediction Equations (Textbook Pages 403-405)

o Essential Question: How can a Scatter Plot and a Line of Fit be used to make predictions?

o Key Vocabulary: line of fit = best-fit line

Unit 5, Part 2 Test Score: _______%

(If Time) Unit 5, Part 3: (Pink Copies)

Unit Essential Question: How do we use operations with monomials and numbers expressed in scientific notation?

Lesson 4-4: Simplifying Algebraic Fractions (Textbook Pages 196-198)

o Essential Question: How do we simplify and evaluate algebraic fractions and monomials (including with negative exponents)?

o Key Vocabulary: simplest form

• Lesson 4-5: Multiplying and Dividing Monomials (Textbook Pages 203-205)

o Essential Question: How do we simplify and evaluate algebraic fractions and monomials (including with negative exponents)?

• Lesson 4-6: Negative Exponents (Textbook Pages 209-210)

o Essential Question: How do we simplify and evaluate algebraic fractions and monomials (including with negative exponents)?

• Lesson 4-7: Scientific Notation (Textbook Pages 214-216)

o Essential Question: How do we express, compare, and order numbers in standard form and in scientific notation?

o Key Vocabulary: standard form, scientific notation

Unit 5, Part 3 Test Score: _______%

(If Time) Unit 6

Unit Essential Question: How do you calculate within the real number system?

• Lesson 9-1: Squares and Square Roots (Textbook Pages 464-466)

o Essential Question: How do you find squares and square roots and cubes and cube roots?

o Key Vocabulary: perfect square, square root, radical

• Lesson 9-4: The Pythagorean Theorem (Textbook Pages 485-487)

o Essential Question: How do you use the Pythagorean Theorem to find the missing side lengths in right triangles?

o Key Vocabulary: legs, hypotenuse, Pythagorean Theorem, converse

• Lesson 12-2: Measures of Variation (Textbook Pages 633-635)

o Essential Question: What are the measures of variation and how do you find them?

o Key Vocabulary: mean, median, mode, measures of variation, range, quartiles, lower quartile (LQ), upper quartile (UQ), interquartile range (IQR), outlier

• Lesson 12-3: Box-and-Whisker Plots (Textbook Pages 638-640)

o Essential Question: How do you display and interpret data in box-and-whisker plots?

Key Vocabulary: box-and-whisker plot

• Lesson 12-1: Stem-and-Leaf Plots (Textbook Pages 626-628)

o Essential Question: How do you display and interpret data in stem-and-leaf plots?

o Key Vocabulary: stem-and-leaf plot, stems, leaves, back-to-back stem-and-leaf plot

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