Bits+and+Pieces+3

=Bits and Pieces 3 = __**Investigation 1:**__ Problem-Solving Goals:  __**Investigation 2:**__ Problem-Solving Goals:  __**Investigation 3:**__ Problem-Solving Goals:  Problem-Solving Goals:  __**Investigation 5:**__ Problem-Solving Goals:  [|Video Tutorials:] Click this link for video tutorials for the major concepts taught for each investigation of Bits and Pieces 3.
 * Use benchmarks and decimal fraction relationships to develop estimation strategies for finding decimal sums.
 * Consider the relative size of a decimal prior to developing approaches to finding exact decimal sums or differences.
 * Develop place-value understanding of decimal addition and subtraction.
 * Develop strategies for adding and subtracting decimal numbers.
 * Connect strategies for addition and subtraction of decimals to addition and subtraction of fractions with the powers of ten in the denominator.
 * Explore the inverse relationship between addition and subtraction in decimal settings.
 * Develop place-value understanding of decimal multiplication.
 * Solve problems that require decimal multiplication.
 * Use place value to reason about decimal multiplication.
 * <span style="font-family: 'Comic Sans MS',cursive;">Explore the relationship between factors and products in decimal multiplication.
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop estimation strategies for finding decimal products.
 * <span style="font-family: 'Comic Sans MS',cursive;">Understand what happens to place value and the position of the decimal when you multiply by powers of ten.
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop at least one efficient algorithm for multiplying decimals.
 * <span style="font-family: 'Comic Sans MS',cursive;">Choose between division, multiplication, addition, or subtraction as an appropriate operation to use to solve a problem.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use models and the context to find solutions to division problems.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use the relationship between decimals and fractions to develop and understand decimal division.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use efficient algorithms for dividing decimals.
 * <span style="font-family: 'Comic Sans MS',cursive;">Explore the inverse relationship between multiplication and division in fact families.
 * <span style="font-family: 'Comic Sans MS',cursive;">Understand and predict the decimal representation of a fraction (terminating or repeating).
 * __Investigation 4:__**
 * <span style="font-family: 'Comic Sans MS',cursive;">Understand that a percent is a decimal fraction with a denominator of 100.
 * <span style="font-family: 'Comic Sans MS',cursive;">Represent $1.00 as 100 pennies, and relate this to partitioning a number line into 100 parts.
 * <span style="font-family: 'Comic Sans MS',cursive;">Represent percents as decimals and use decimal computation to compute percents.
 * <span style="font-family: 'Comic Sans MS',cursive;">Explore the relationship between 1% and 10% and use these to compute 5%, 15%, and 20% tips.
 * <span style="font-family: 'Comic Sans MS',cursive;">Work backwards to determine the amount of the bill if you know the tip and the percent of tip for the bill.
 * <span style="font-family: 'Comic Sans MS',cursive;">Find what percent one number is of another number.
 * <span style="font-family: 'Comic Sans MS',cursive;">Solve problems using percent.
 * <span style="font-family: 'Comic Sans MS',cursive;">Develop a strategy for finding the percent of discount an amount taken off a price represents.
 * <span style="font-family: 'Comic Sans MS',cursive;">Use percents in estimating taxes, tips, and discounts.
 * <span style="font-family: 'Comic Sans MS',cursive;">Solve problems involving percents.
 * <span style="font-family: 'Comic Sans MS',cursive;">Make and interpret circle graphs to represent data
 * Resources:**

[|Adding and Subtracting Decimals In-Depth Instruction:] This link provides the steps to add and subtract decimals, specific explanations of why each step is made and practice problems for students to complete on the computer.

[|Multiplying Decimals In-Depth Instruction:] This link provides the steps to multiply decimals, specific explanations of why each step is made and practice problems for students to complete on the computer.

[|Dividing Decimals In-Depth Instruction:] This link provides the steps to divide decimals, specific explanations of why each step is made and practice problems for students to complete on the computer.


 * Assessments:** Below are assessments that can be downloaded and viewed within the Exam View Program as well as a web page format.

- Exam View Version - Online Version


 * Parent Connection:** The document below are the list of skills and concepts the students are learning throughout Bits and Pieces 3. This is a resource for parents to help their child with homework.