Longman Mathematics

by Iwamoto, Julie Rumi

• ISBN13: 9780131930230
• ISBN10: 0131930230
• Edition: 1st
• Format: Paperback
• Copyright: 2019-11-15
• Publisher: Pearson Education ESL

Summary

Longman Mathematics, by Julie Iwamoto, merges the teaching of math with English language acquisition exercises specific to math terminology.  All students can benefit from the simplified explanations, extensive use of examples and illustrations, and vocabulary exercises found in the book. Although this book is written with English Language Learners in mind, it is by no means confined to them.  Students reading below grade level will also benefit from this book, as language and vocabulary are carefully structured in each chapter. 

 

Features

• listening exercises
• pronunciation exercises
• written exercises
• reading passages
• a review list of vocabulary words and topics at the end of each chapter
• chapter review exercises
• a comprehensive glossary of math terms at the end of the book

Table of Contents

Preface	xi
Unit 1 Base-Ten Number System	1	(36)
Reading and Saying Cardinal Numbers	3	(10)
Cardinal Numbers	3	(1)
Base-Ten Place Names	4	(1)
Comma Placement	5	(1)
How to Say Cardinal Numbers	6	(7)
Have I Learned?	11	(1)
Chapter Review	12	(1)
Reading and Saying Ordinal Numbers	13	(12)
Ordinal Numbers	13	(5)
How to Say Dates	18	(7)
Have I Learned?	23	(1)
Chapter Review	24	(1)
Rounding Off Numbers	25	(12)
Round Numbers	25	(1)
Rounding Off Numbers	26	(2)
Rounding Off to the Tens Place	28	(3)
Rounding Off to the Hundreds and Thousands Places	31	(1)
Estimation	32	(5)
Have I Learned?	35	(1)
Chapter Review	36	(1)
Unit 2 Operations with Whole Numbers	37	(74)
Addition	39	(12)
Language of Addition	39	(1)
Commutative Property of Addition	40	(1)
Associative Property of Addition	41	(1)
Additive Identity Property of Addition	42	(2)
Have I Learned?	43	(1)
Addition with Carrying	44	(2)
Solving Addition Word Problems	46	(5)
Chapter Review	50	(1)
Subtraction	51	(16)
Language of Subtraction	51	(1)
Subtraction of Whole Numbers	52	(2)
Subtraction with Borrowing	54	(2)
Subtraction with Borrowing from Zeros	56	(2)
Inverse Operations	58	(1)
Using Inverse Operations to Find Missing Numbers	59	(3)
Have I Learned?	61	(1)
Solving Subtraction Word Problems	62	(5)
Chapter Review	66	(1)
Multiplication	67	(20)
Language of Multiplication	67	(1)
Symbols for Multiplication	68	(1)
Commutative Property of Multiplication	69	(1)
Associative Property of Multiplication	69	(1)
Multiplicative Identity Property of Multiplication	70	(1)
Multiplicative Property of Zero	70	(1)
Distributive Property of Multiplication	71	(1)
Multiplying Two-Digit and Three-Digit Numbers by a One-Digit Number	72	(2)
Multiplying and Carrying	74	(1)
Multiplying Two Digits by Two Digits	75	(1)
Multiplying Two-Digit Numbers by Two-Digit Numbers with Carrying	76	(1)
Multiplying Three-Digit Numbers by Two-and Three-Digit Numbers	77	(2)
Multiples of Ten	79	(1)
Solving Word Problems with Unnecessary Information	80	(1)
Solving Multiplication Word Problems	81	(6)
Have I Learned?	85	(1)
Chapter Review	86	(1)
Division	87	(24)
Language of Division	87	(2)
Dividing with One-Digit Divisors	89	(3)
One-Digit Divisors with Remainders	92	(2)
Dividing with Two-Digit Divisors	94	(2)
Inverse Operations	96	(1)
Using Inverse Operations to Find Missing Numbers	97	(2)
Multiples of Ten	99	(1)
Order of Operations	100	(2)
More Order of Operations	102	(3)
Have I Learned?	105	(1)
Solving Division Word Problems	105	(2)
Problem Solving with Remainders	107	(4)
Chapter Review	110	(1)
Unit 3 Number Theory	111	(20)
Integers	113	(6)
The Number Line	113	(2)
Comparing Integers	115	(4)
Have I Learned?	117	(1)
Chapter Review	118	(1)
Prime Numbers, Bases, and Exponents	119	(12)
Prime Numbers	119	(2)
Prime Factors	121	(2)
Bases and Exponents	123	(2)
Using Base Ten	125	(1)
The Zero Exponent	125	(2)
Expanded Notation	127	(4)
Have I Learned?	129	(1)
Chapter Review	130	(1)
Unit 4 Operations with Decimal Numbers	131	(54)
Decimals	133	(16)
Tenths	133	(2)
Hundredths	135	(1)
Equivalent Decimals in Tenths and Hundredths	136	(1)
Comparing Decimals in Tenths and Hundredths	137	(1)
Thousandths	138	(2)
Equivalent Decimals in Tenths, Hundredths, and Thousandths	140	(2)
Comparing Decimals in Tenths, Hundredths, and Thousandths	142	(1)
More Decimal Places	143	(6)
Have I Learned?	146	(2)
Chapter Review	148	(1)
Adding and Subtracting Decimals	149	(14)
Writing Integers as Decimals	149	(1)
Adding Decimals	150	(2)
Money	152	(3)
Subtracting Decimals	155	(1)
Using Inverse Operations to Find Missing Decimals	156	(2)
Rounding Off Decimals	158	(5)
Have I Learned?	161	(1)
Chapter Review	162	(1)
Multiplying and Dividing Decimals	163	(22)
Multiplying Decimals	163	(6)
Multiplying Decimals by Multiples of Ten	169	(1)
Dividing with Decimals	170	(1)
If the Dividend Is a Decimal	171	(2)
If the Divisor Is a Decimal	173	(2)
If the Dividend and Divisor Are Decimals	175	(1)
If the Divisor Is Greater Than the Dividend	176	(3)
Problem Solving with Decimals	179	(1)
Average, or Mean	180	(2)
Dividing Decimals by Multiples of Ten	182	(3)
Have I Learned?	183	(1)
Chapter Review	184	(1)
Unit 5 Operations with Fractions	185	(68)
Fractions	187	(20)
Naming Fractions	187	(2)
Reading and Saying Fractions	189	(3)
Fractions Less Than, Equal to, and Greater Than a Whole	192	(2)
Whole Numbers as Fractions	194	(1)
Changing Improper Fractions to Mixed Numbers	195	(2)
Changing Mixed Numbers to Improper Fractions	197	(3)
Equivalent Fractions	200	(7)
Have I Learned?	205	(1)
Chapter Review	206	(1)
More Work with Fractions	207	(10)
Comparing Fractions	207	(5)
Simplifying Fractions	212	(5)
Have I Learned?	215	(1)
Chapter Review	216	(1)
Multiplying and Dividing Fractions	217	(16)
Multiplying Fractions	217	(4)
Simplifying by Canceling	221	(1)
Solving Word Problems	222	(2)
Reciprocals	224	(1)
Dividing Fractions	225	(5)
Solving Word Problems	230	(3)
Have I Learned?	231	(1)
Chapter Review	232	(1)
Adding and Subtracting Fractions	233	(20)
Adding Fractions with Like Denominators	233	(3)
Lowest Common Denominator	236	(2)
Adding Fractions with Unlike Denominators	238	(3)
Solving Word Problems	241	(1)
Subtracting Fractions with Like Denominators	242	(2)
Writing Whole Numbers as Fractions	244	(2)
Subtracting Fractions from Whole Numbers	246	(1)
Subtracting Unlike Fractions	247	(2)
Solving Word Problems	249	(4)
Have I Learned?	251	(1)
Chapter Review	252	(1)
Unit 6 Ratios and Percents	253	(30)
Ratios and Proportions	255	(10)
Ratios	255	(3)
Proportions	258	(1)
Solving Proportions Using Inverse Operations	259	(1)
Using Proportions in Problem Solving	260	(5)
Have I Learned?	263	(1)
Chapter Review	264	(1)
Percents	265	(18)
Understanding Percents	265	(1)
Writing Percents as Decimals and Decimals as Percents	266	(1)
Writing Percents as Fractions	267	(1)
Writing Fractions as Decimals and as Percents	268	(3)
Solving Percent Problems	271	(9)
Using Percents with Discounts	280	(3)
Have I Learned?	281	(1)
Chapter Review	282	(1)
Unit 7 Operations with Integers	283	(16)
More Work with Integers	285	(14)
Positive and Negative Integers	285	(1)
Adding Positive and Negative Integers on the Number Line	286	(2)
Absolute Value	288	(1)
Adding Positive and Negative Integers	289	(2)
Subtracting Positive and Negative Integers	291	(2)
Multiplying Positive and Negative Integers	293	(2)
Multiplying More Than Two Integers	295	(1)
Dividing Positive and Negative Integers	296	(3)
Have I Learned?	297	(1)
Chapter Review	298	(1)
Unit 8 Introduction to Geometry and Measurement	299	(44)
Geometry	301	(20)
Points, Lines, and Planes	301	(2)
Intersecting and Parallel Lines	303	(1)
Angles	304	(5)
Drawing Angles	309	(2)
Perpendicular Lines	311	(1)
Triangles	312	(3)
Circles	315	(2)
Drawing Circles	317	(4)
Have I Learned?	319	(1)
Chapter Review	320	(1)
Polygons	321	(12)
Polygons	321	(2)
Congruent Figures	323	(1)
Corresponding Parts	324	(2)
Regular Polygons	326	(1)
Similar Polygons	327	(1)
Proportions with Similar Polygons	328	(5)
Have I Learned?	331	(1)
Chapter Review	332	(1)
Measurements	333	(10)
Perimeter	333	(1)
Circumference of a Circle	334	(2)
Area of a Rectangle and Square	336	(1)
Area of a Triangle	337	(2)
Area of a Parallelogram	339	(1)
Area of a Circle	340	(3)
Have I Learned?	341	(1)
Chapter Review	342	(1)
Glossary	343	(8)
Listening Scripts	351