Pre-Algebra Student Edition
Autor N/A McGraw Hillen Limba Engleză Hardback – 16 apr 2011
În cadrul parcursului academic de nivel gimnazial, Pre-Algebra Student Edition reprezintă un instrument esențial pentru tranziția de la aritmetica de bază către conceptele abstracte ale matematicii superioare. Considerăm că acest manual, publicat de McGraw Hill Education, se distinge prin rigoarea cu care pregătește elevii pentru cerințele liceului și ale mediului universitar, oferind un cadru structurat de învățare adaptat secolului XXI.
Structura volumului este una progresivă, debutând cu un „Capitol 0” dedicat consolidării strategiilor de rezolvare a problemelor, geometriei și analizei datelor. Ulterior, materialul avansează spre studiul numerelor raționale și al ecuațiilor, integrând laboratoare de algebră și activități practice. Apreciem în mod deosebit modul în care autorii au integrat tehnologia modernă în procesul de predare; utilizarea calculatoarelor grafice TI-84 și TI-Nspire nu este doar un accesoriu, ci o metodă de a vizualiza relațiile matematice complexe.
Acest manual acoperă aceeași arie tematică precum Prealgebra de Margaret L. Lial, dar cu o abordare mult mai axată pe instruirea diferențiată (RtI), oferind suport specific pentru elevii cu ritmuri de învățare variate. Față de un ghid de studiu rapid, cum este Pre-Algebra DeMYSTiFieD de Allan Bluman, volumul de față este o resursă exhaustivă de peste 1100 de pagini, care include un sistem complet de evaluare, de la diagnostic până la atingerea măiestriei.
În contextul celorlalte publicații ale McGraw Hill Education, precum Dictionary of Engineering sau seria Corrective Reading Decoding Level B1, Workbook, observăm aceeași preocupare pentru precizia terminologică și claritatea pedagogică. Pre-Algebra Student Edition reușește să transforme o disciplină adesea intimidantă într-o experiență de învățare accesibilă prin resurse digitale, animații și tutoriale integrate.
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Specificații
ISBN-10: 0078957737
Pagini: 1152
Dimensiuni: 224 x 287 x 43 mm
Greutate: 2.55 kg
Editura: McGraw Hill Education
Colecția McGraw-Hill
Locul publicării:United States
De ce să citești această carte
Recomandăm acest manual cadrelor didactice și elevilor care doresc o bază solidă în matematică. Principalul avantaj este flexibilitatea: structura permite adaptarea lecțiilor pentru diferite niveluri de competență, de la recuperare la performanță. Cititorul câștigă acces la un ecosistem complet de învățare, care îmbină suportul tipărit cu resurse digitale interactive, asigurând înțelegerea profundă a ecuațiilor și a funcțiilor, esențiale pentru succesul academic viitor.
Cuprins
Chapter 0 Preparing for Pre-Algebra
0-1 A Plan for Problem Solving
0-2 Problem-Solving Strategies
0-3 Number and Operations
0-4 Algebra
0-5 Geometry
0-6 Measurement
0-7 Data Analysis
Unit 1 Rational Numbers and Equations
Chapter 1 The Tools of Algebra
1-1 Words and Expressions
Explore 1-2 Algebra Lab: Rules and Expressions
1-2 Variable and Expressions
Extend 1-2 Spreadsheet Lab: Expressions and Spreadsheets
1-3 Properties
1-4 Ordered Pairs and Relations
Explore 1-5 Algebra Lab: Relations and Functions
1-5 Words, Equations, Tables, and Graphs
Explore 1-6 Algebra Lab: Scatter Plots
1-6 Scatter Plots
Extend 1-6 Graphing Technology Lab: Scatter Plots
Chapter 2 Operations with Integers
2-1 Integers and Absolute Value
Explore 2-2 algebra Lab: Adding Integers
2-2 Adding Integers
Explore 2-3 Algebra Lab: Subtracting Integers
2-3 Subtracting Integers
Extend 2-3 More About: Adding and Subtracting with Matrices
Explore 2-4 Algebra Lab: Multiplying Integers
2-4 Multiplying Integers
Explore 2-5 Algebra Lab: Dividing Integers
2-5 Dividing Integers
2-6 Graphing in Four Quadrants
2-7 Translations and Reflections on the Coordinate Plane
Chapter 3 Operations with Rational Numbers
Explore 3-1 Algebra Lab: Fractions and Decimals on the Number Line
3-1 Fractions and Decimals
3-2 Rational Numbers
3-3 Multiplying and Rational Numbers
3-4 Dividing Rational Numbers
3-5 Adding and Subtracting Like Fractions
3-6 Adding and Subtracting Unlike Fractions
Chapter 4 Expressions and Equations
4-1 The Distributive Property
Explore 4-2 Algebra Lab: Simplifying Algebraic Expressions
4-2 Simplifying Algebraic Expressions
4-3 Solving Equations by Adding and Subtracting
4-4 Solving Equations by Multiplying or Dividing
Explore 4-5 Algebra Lab: Solving Two-Step Equations Using Algebra Tiles
4-5 Solving Two-Step Equations
4-6 Writing Equations
Chapter 5 Multi-Step Equations and Inequalities
5-1 Perimeter and Area
Extend 5-1 Spreadsheet Lab: Perimeter and Area
5-2 Solving Equations with Variables on Each Side
5-3 Inequalities
5-4 Solving Inequalities
5-5 Solving Multi-Step Equations and Inequalities
Unit 2 Proportions and Similarity
Chapter 6 Ratio, Proportion, and Similar Figures
6-1 Ratios
6-2 Unit Rates
6-3 Converting Rates and Measurements
Extend 6-3 Geometry Lab: Accuracy and Precision
6-4 Proportional and Nonproportional Relationships
6-5 Solving Proportions
Extend 6-5 Algebra Lab: Inverse Proportions
6-6 Scale Drawings and Models
Explore 6-7 Geometry Lab: Similar Figures
6-7 Similar Figures
6-8 Dilations
6-9 Indirect Measurement
Chapter 7 Percent
7-1 Fractions and Percents
7-2 Fractions, Decimals, and Percents
Explore 7-3 Algebra Lab: Using a Percent Model
7-3 Using the Percent Proportion
7-4 Find a Percent of a Number Mentally
7-5 Using Percent Equations
Explore 7-6 Algebra Lab: Modeling Percents and Change
7-6 Percent of Change
7-7 Simple and Compound Interest
Extend 7-7 Spreadsheet Lab: Compound Interest
7-8 Circle Graphs
Unit 3 Linear and Nonlinear Functions
Chapter 8 Linear Functions and Graphing
8-1 Functions
8-2 Sequences and Equations
8-3 Representing Linear Functions
Extend 8-3 More About: Representing Linear Inequalities
8-4 Rate of Change
8-5 Constant Rate of Change and Direct Variation
Explore 8-6 Graphing Technology Lab: Scope and Rate of Change
8-6 Slope
Explore 8-7 Algebra Lab: Proportional and Nonproportional Linear Relationships
8-7 Slope-Intercept Form
Extend 8-7 Graphing Technology Lab: Family of Linear Graphs
8-8 Writing Linear Equations
8-9 Prediction equations
Extend 8-9 Graphing Technology Lab: Linear Regression
8-10 Systems of Equations
Chapter 9 Powers and Nonlinear Functions
Explore 9-1 More About: Factors
9-1 Powers and Exponents
9-2 Prime Factorization
Extend 9-2 More About: Applying Prime Factorization
9-3 Multiplying and Dividing Monomials
9-4 negative Exponents
9-5 Scientific Notation
Extend 9-5 More About: Computation with Scientific Notation
9-6 Powers of Monomials
9-7 Linear and Nonlinear Functions
Extend 9-7 More About: Geometric Sequences
9-8 Quadratic Functions
Extend Graphing Technology Lab: Family of Quadratic Functions
9-9 Cubic and Exponential Functions
Extend Algebra Lab: A Half-Life Simulation
Unit 4 Two- and Three-Dimensional Space
Chapter 10 Real Numbers and Right Triangles
Explore 10-1 Algebra Lab: Squares and Square Roots
10-1 Squares and Square Roots
Extend 10-1 More About: Cube Roots
Explore 10-2 More About: Sets
10-2 The Real Number System
Explore 10-3 Geometry Lab: Angles in a Triangle
10-3 Triangles
Extend 10-3 Geometry Lab: The Triangle Inequality Theorem
Explore 10-4 Algebra Lab: The Pythagorean Theorem
10-4 The Pythagorean Theorem
Extend 10-4 Algebra Lab: Graphing Irrational Numbers
10-5 The Distance Formula
10-6 Special Right Angles
Extend 10-6 More About: Trigonometric Ratios
Chapter 11 Distance and Angle
Explore 11-1 More About: Measuring and Drawing Angles
11-1 Angle and Line Relationships
Extend 11-1 Geometry Lab: Constructing Angles and Lines
11-2 Congruent Triangles
11-3 Rotations
Explore 11-4 Geometry Lab: Angles in Polygons
11-4 Quadrilaterals
11-5 Polygons
Extend 11-5 Geometry Lab: Constructing Congruent and Similar Polygons
11-6 Area of Parallelograms, Triangles, and Trapezoids
Extend 11-6 More About: Perimeter and Area of Similar Figures
11-7 Circles and Circumference
Extend 11-7 Geometry Lab; Intersections of Geometric Figures
11-8 Area of Circles
11-9 Area of Composite Figures
Extend 11-9 Spreadsheet Lab: Changes in Scale
Chapter 12 Surface Area and Volume
Explore 12-1 Geometry Lab: Drawing Three-Dimensional Figures
12-1 Three-Dimensional Figures
Explore 12-2 Geometry Lab: Volume
12-2 Volume of Prisms
12-3 Volume of Cylinders
Explore 12-4 Geometry Lab: Volume of a Pyramid
12-4 Volume of Pyramids, Cones, and Spheres
Explore 12-5 Geometry Lab: Surface Area of Prisms
12-5 Surface Area of Prisms
Explore 12-6 Geometry Lab: Surface Area of Cylinders
12-6 Surface Area of Cylinders
12-7 Surface Area of Pyramids and Cones
Extend 12-7 Geometry Lab: Surface Area of Spheres
Explore 12-8 Geometry Lab: Similar Solids
12-8 Similar Solids
Unit 5 Data Sets
Chapter 13 Statistics and Probability
Explore 13-1 Algebra Lab: Analyzing Data
13-1 Measures of Central Tendency
Extend 13-1 Graphing Technology Lab: Mean and Median
Explore 13-2 More About: Statistical Displays
13-2 Stem-and-Leaf Plots
13-3 Measures of Variation
13-4 Box-and Whisker Plots
Extend 13-4 Graphing Technology Lab: Box-and Whisker Plots
13-5 Histograms
Extend 13-5 Graphing Technology Lab: Histograms
13-6 Theoretical and Experimental Probability
Extend 13-6 More About: Geometric Probability
13-7 Using Sampling to Predict
13-8 Counting Outcomes
Extend 13-8 Algebra Lab: Probability and Pascal’s Triangle
13-9 Permutations and Combinations
Explore 13-10 Graphing Technology Lab: Probability Simulation
13-10 Probability of Compound Events
Extend 13-10 Algebra Lab: Simulations
Chapter 14 Looking Ahead to Algebra 1
14-1 Polynomials
14-2 Adding Polynomials
14-3 Subtracting Polynomials
14-4 Multiply a Binomial by a Monomial
14-5 Multiply Two Binomials
14-6 dividing a Polynomial by a Monomial
14-7 Using GCF to Factor Polynomials
14-8 Factoring Trinomials
Descriere
One Program, All Learners!
Flexibility
- Print and digital resources for your classroom today and tomorrow
- Appropriate for students who are approaching, on or beyond grade level
Differentiation
- Integrated differentiated instruction support that includes Response to Intervention (RtI) strategies
- A complete assessment system that monitors student progress from diagnosis to mastery
- More in-depth and rigorous mathematics, yet meets the needs of all students
21st Century Success
- Preparation for student success beyond high school in college or at work
- Problems and activities that use handheld technology, including the TI-84 and the TI-Nspire
- A wealth of digital resources such as eStudent Edition, eTeacher Edition, animations, tutorials, virtual manipulatives and assessments right at your fingertips
Includes print student edition