The Everything Parent's Guide to Common Core Math Grades 6-8: Understand the New Math Standards to Help Your Child Learn and Succeed
336
The Everything Parent's Guide to Common Core Math Grades 6-8: Understand the New Math Standards to Help Your Child Learn and Succeed
336Paperback
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Overview
The Common Core, a new set of national educational standards, has been adopted by forty-five states across the nation. But if you learned math the "old" way, the new teaching methods—like tape diagrams, array models, and number bonds—may be unfamiliar to you. If you want to help your children with homework, you'll need to learn these new methods, which focus on critical thinking and conceptual understanding.
With the help of experienced math teachers, you'll learn:
- What your child will be learning in each middle-school grade
- The rationale behind the Common Core standards
- Multiple new ways to look at math problems
- How to help your child with homework and studying
Product Details
| ISBN-13: | 9781440583575 |
|---|---|
| Publisher: | Adams Media |
| Publication date: | 01/18/2015 |
| Series: | Everything® Parenting Guide Series |
| Pages: | 336 |
| Sales rank: | 580,255 |
| Product dimensions: | 7.90(w) x 9.10(h) x 1.00(d) |
| Age Range: | 11 - 13 Years |
About the Author
An Adams Media author.
Table of Contents
Introduction 10
Part 1 The Common Core State Standards 12
01 What Are the Common Core State Standards? 13
What Is the Purpose of the Standards? 14
What Are the Key Shifts in Mathematics? 15
Focus 15
Coherence 18
Rigor 17
02 What Are the Eight Standards for Mathematical Practices? 19
Standard 1 Make Sense of Problems and Persevere in Solving Them 20
Standard 2 Reason Abstractly and Quantitatively 22
Standard 3 Construct Viable Arguments and Critique the Reasoning of Others 24
Standard 4 Model with Mathematics 25
Standard 5 Use Appropriate Tools Strategically 26
Standard 6 Attend to Precision 28
Standard 7 Look For and Make Use of Structure 29
Standard 8 Look For and Express Regularity in Repeated Reasoning 31
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content 34
03 How Can I Help My Child Be Successful? 35
Note Taking and Homework 36
Reviewing Notes 37
Using Notes and Homework to Study for a Test 38
Create Practice Problems 40
Model How to Study 40
Access Tools Online 42
Part 2 6th Grade Common Core Standards 44
04 What Is Expected of My 6th Grader? 45
What Are the Critical Areas? 46
Critical Area One 46
Critical Area Two 48
Critical Area Three 50
Critical Area Four 51
05 Rations and Proportional Relationships 53
What Should My Child Already Be Able to Do? 54
What Is a Ratio? 54
Using Unit Rates 56
Applying Ratios and Rates to Solve Problems 58
Using Tape Diagrams 62
Using Double Number Lines 65
Finding a Percent of a Number 67
Find the Whole from a Percent 73
Measurement Conversions 74
Practice Problems 78
06 The Number System 80
The Number System 80
What Should My Child Already Be Able to Do? 81
Dividing Fractions 81
Dividing Using the Standard Algorithm 87
Decimal Operations 91
Greatest Common Factor 98
Least Common Multiple 101
Integers 103
The Coordinate Plane 106
Practice Problems 107
07 Expressions and Equations 110
What Should My Child Already Be Able to Do? 111
What Does an Exponent Do? 111
Writing and Evaluating Expressions 113
Properties of Operations 116
Solving One-Variable Equations 119
Inequalities 123
Dependent and Independent Variables 129
Practice Problems 131
08 Geometry 133
What Should My Child Already Be Able to Do? 134
Area 135
Surface Area 141
Volume 146
Practice Problems 151
09 Statistics and Probability 153
What Should My Child Already Be Able to Do? 154
What Makes a Statistical Question? 154
How Can Data Be Described? 155
Displaying Data 164
Practice Problems 172
Part 3 7th Grade Common Core Standards 173
10 What Is Expected of My 7th Grader? 174
What Are the Critical Areas? 175
Critical Area One 175
Critical Area Two 176
Critical Area Three 175
Critical Area Four 177
In Summary 178
11 Ratios and Proportional Relationships 179
What Should My Child Already Be Able to Do? 180
Analyzing Proportional Relationships 181
Ratio and Percent Problems 184
Practice Problems 189
12 The Number System 190
What Should My Child Already Be Able to Do? 191
Fraction Operations 191
Integer Operations and Absolute Value 196
Converting Rational Numbers to Decimals 203
Practice Problems 205
13 Expressions and Equations 206
What Should My Child Already Be Able to Do? 207
Equivalent Expressions 208
Add, Subtract, Factor, and Expand Linear Expressions 211
Using Algebraic Expressions and Equations to Solve Real-Life Problems 212
Solving Two-Step Equations 214
What Is a Solution to an Inequality? 216
Practice Problems 218
14 Geometry 219
What Should My Child Already Be Able to Do? 220
Scale Drawings of Geometric Figures 220
Two- and Three-Dimensional Figures 222
Area and Circumference of Circles 223
Angles and Angle Relationships 226
Area, Volume, and Surface Area of Two-and Three-Dimensional Objects 229
Practice Problems 233
15 Statistics and Probability 234
What Should My Child Already Be Able to Do? 235
Random Sampling 236
Probability 239
Practice Problems 248
Part 4 8th Grade Common Core Standards 249
16 What Is Expected of My 8th Grader? 250
What Are the Critical Areas? 251
Critical Area One 251
Critical Area Two 254
Critical Area Three 256
17 The Number System 259
What Should My Child Already be Able to Do? 260
Rational versus Irrational 261
Approximating Square Roots 263
Practice Problems 265
18 Expressions and Equations 266
What Should My Child Already Be Able to Do? 267
Integer Exponents 267
Square Roots and Cube Roots 270
Scientific Notation 270
Graphing Proportional Relationships 272
What Is Slope? 273
Solving Linear Equations 277
Solving Systems of Equations 278
Practice Problems 282
19 Functions 284
What Should My Child Already Be Able to Do? 285
What Is a Function? 285
Define, Evaluate, and Compare Functions 287
Practice Problems 290
20 Geometry 291
What Should My Child Already Be Able to Do? 292
What Is the Difference Between Similarity and Congruence? 293
Transformations: Flip, Turn, Slide, and Dilate 295
The Pythagorean Theorem 299
Volume of Cones, Cylinders, and Spheres 301
Practice Problems 304
21 Statistics and Probability 307
What Should My Child Already Be Able to Do? 308
Bivariate Data: What Is It? 308
Scatterplots: How Do You Determine the Line of Best Fit? 311
Practice Problems 315
Appendix A Answers to Practice Problems 317
Appendix B Glossary 324
Index 332