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UNIT 2 |
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Lesson |
Objective |
Page |
2.1 |
A Visit to Washington, D.C.
To review and find examples of the various ways in which numbers are used; and to introduce the World Tour Project. |
76 |
2.2 |
Many Names for Numbers
To find equivalent names for numbers. |
82 |
2.3 |
Place Value in While Numbers
To name values of digits in numbers up to hundred-millions; and to read and write numbers up to hundred-millions. |
87 |
2.4 |
Place Value with Calculator
To practice place-value skills through a calculator routine; and to read and write large numbers. |
93 |
2.5 |
Organizing and Displaying Data
To organize and display data with a tally chart; and to determine the maximum, minimum, range, and mode of a set of data. |
98 |
2.6 |
The Median
To review how to display a set of data with a line plot; and to review how to find the median of a set of data. |
103 |
2.7 |
Addition of Multi Digit Numbers
To review the partial-sums method for addition; and to introduce a column-addition method similar to the traditional addition algorithm. |
109 |
2.8 |
Displaying Data with a Bar Graph
To measure length to the nearest 1/2 centimeter; and to make and use bar graphs for a set of collected data. |
115 |
2.9 |
Subtraction of Multi Digit Numbers
To review the trade-first and counting-up methods for subtraction; and to introduce to the partial-differences method for subtraction. |
120 |
2.10 |
Unit 2 Review and Assessment
To review and assess students' progress and the material covered in Unit 2. |
127 |
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UNIT 3 |
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Lesson |
Objective |
Page |
3.1 |
Multiplication Facts
To review strategies for multiplication facts; and to work toward instant recall of the multiplication facts. |
146 |
3.2 |
Multiplication Facts Practice
To establish a 50-facts test routine; and to practice multiplication facts. |
152 |
3.3 |
More Multiplication Facts Practice
To explore the relationship between multiplication and division and between division and fractions; and to practice division facts.
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157 |
3.4 |
Multiplication, Division, and Fractions
To explore the relationship between multiplication and division and between division and fractions; and to practice division facts. |
162 |
3.5 |
World Tour: Flying to Africa
To continue the World Tour Project.
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166 |
3.6 |
Finding Air Distances
To find air distances. |
171 |
3.7 |
A Guide for Solving Number Stories
To introduce a simplified approach to solving number stories; and to solve number stories.
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175 |
3.8 |
True or False Number Sentences
To review the meanings of number sentences; and to determine whether number sentences are true or false. |
179 |
3.9 |
Parentheses in Number Sentences
To review the use of parentheses in number sentences. |
184 |
3.10 |
Open Sentences
To introduce vocabulary and notation for open sentences; and to solve open sentences. |
189 |
3.11 |
Logic Problems
To develop reasoning skills. |
194 |
3.12 |
Unit 3 Review and Assessment
To review and assess students' progress on the material covered in Unit 3. |
198 |
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UNIT 4 |
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Lesson |
Objective |
Page |
4.1 |
Decimals: Review the Basic Concepts
To review basic concepts and notation for decimals through hundredths. |
214 |
4.2 |
Comparing and Ordering Decimals
To compare and order decimals in tenths and hundredths. |
219 |
4.3 |
Estimating with Decimals
To learn why decimals are useful; and to estimate sums and differences of decimals. |
223 |
4.4 |
Decimal Addition and Subtraction
To extend methods for whole-number addition and subtraction to decimals. |
227 |
4.5 |
Decimals in Money
T o compute balances in a savings account. |
232 |
4.6 |
Thousandths
To extend basic concepts and notation for decimals to thousandths. |
237 |
4.7 |
Metric Units of Length
To review the relationships among metric units of length; and to work with metric measurements. |
242 |
4.8 |
Personal Reference for Metric Length
To establish personal references for metric units of length. |
247 |
4.9 |
Measuring in Millimeters
To measure lengths to the nearest millimeter; and to convert measurements between millimeters. |
252 |
4.10 |
Decimal Place Value
To summarize the concepts presented in this unit by extending the base-ten place-value system to decimals |
256 |
4.11 |
Unit 4 Review and Assessment
To review and assess students' progress on the material covered in Unit 4. |
261 |
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UNIT 5 |
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Lesson |
Objective |
Page |
5.1 |
Extended Multiplication Facts
To extend basic multiplication facts to products of ones and tens and products of tens and tens. |
280 |
5.2 |
Multiplication Wrestling
To practice the extended multiplication facts; and to introduce the basic principles of multiplication with multi digit numbers. |
286 |
5.3 |
Estimating Sums
To examine situations in which it is appropriate to make an estimate; and to estimate sums. |
291 |
5.4 |
Estimating Products
To estimate whether a product is in the tens, hundreds, thousands, or more. |
297 |
5.5 |
The Partial-Products Algorithm for Multiplication (Part 1)
To learn and practice the partial-products algorithm for 1-digit multipliers. |
303 |
5.6 |
The Partial-Products Algorithm for Multiplication (Part 2)
To learn and practice the partial-products algorithm for 2-digit multipliers. |
309 |
5.7 |
Lattice Multiplication
To learn and practice the lattice method for multiplication. |
315 |
5.8 |
Big Numbers
To read, write, and compare large numbers using patterns in the base-ten place-value system. |
322 |
5.9 |
Powers of 10
To introduce exponential notation for powers of 10 as a way of naming the values of places in our base-ten system. |
328 |
5.10 |
Rounding and Reporting Large Numbers
To discuss sensible ways of reporting a count when a large number of items has been counted. |
334 |
5.11 |
World Tour: Traveling to Europe
To look up and compare numerical data, including geographical measurements. |
340 |
5.12 |
Unit 5 Review and Assessment
To review and assess students' progress on the material covered in Unit 5. |
345 |
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UNIT 6 |
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Lesson |
Objective |
Page |
6.1 |
A Multiples Strategy for Division
To solve equal-grouping division stories by using a multiples-of-10 strategy. |
336 |
6.2 |
The Partial-Quatients Division Algorithm
To introduce and practice a "low stress" division algorithm. |
372 |
6.3 |
Multiplication and Division Number Stories
To solve multiplication and division number stories, using diagrams to organize information. |
377 |
6.4 |
Expressing and Interpreting Remainders
To express remainders in division as fractions or decimals, and answer as mixed numbers or decimals; and to interpret remainders in problem contexts. |
382 |
6.5 |
Rectangular Coordinate Grids for Maps
To use letter-number pairs and ordered pairs of numbers to locate points on a rectangular grid; and to use a map scale. |
387 |
6.6 |
Rotations and Angels
To review rotations; and to make and use a circular protractor.
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392 |
6.7 |
Using a Circular Protractor
To use a circular protractor to measure and draw angles less than 360. |
397 |
6.8 |
The Half-Circle Protractor
To classify angles as acute, right, obtuse, straight, and reflex; and to use a half-circle protractor to measure angles. |
402 |
6.9 |
The Global Grid System
To introduce the partitioning of the globe using circles of latitude and semicircles of longitude; and to use a half-circle protractor to draw angles. |
407 |
6.10 |
Latitude and Longitude
To find the latitude and longitude of given places using a glove and a map; and to identify places for which the latitude and longitude are given. |
412 |
6.11 |
Unit 6 Review and Assessment
To review and assess students' progress on the material covered in Unit 6. |
417 |
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