By the end of this unit, students are expected to:
Understand estimation as a tool for a variety of situations, including checking answers and making decisions.
Use estimates to compute products and to check all four operations
Revisit and develop meanings for the four arithmetic operations on whole numbers and decimals, and skill at using algorithms for each decimal operation.
Recognize when addition, subtraction, multiplication or division is the appropriate operation to solve a problem
Use place value to relate operations with decimals to the same operations with fractions, and to develop understanding of algorithms
Extend understanding of multiplication and division of multi-digit whole numbers and develop standard algorithms for multiplying and dividing decimals with the aid of at most paper and pencil
Find a repeating or terminating decimal equivalent to a given rational number
Solve problems using arithmetic operations on decimals, including finding unit rates
Use variables to represent unknown values and equations to represent relationships.
Write equations or number sentences to represent relationships among real-world and abstract values
Use fact families to write and solve equivalent sentences
Use multiplication sentences to check division sentences
Develop understanding of various contexts in which percentages are used, including sales tax, tips, discounts, percent increases.
Connect ratios and unit rates to percentages
Develop ways to model percent problems
Write and solve a number sentence to find a percent of a given amount, to find the total amount given the percent amount and rate, to find the original amount given the percent rate of increase/decrease and the amount of the original +/– the increase/decrease, and to find the percent that one number is of another
Decimals
Decimals of the Caribbean Game - Identifying decimal numbers from words
Decimal and Whole Number Jeopardy - Rounding, comparing whole numbers and decimals
Place Value Pirates Game - Rounding decimals to a particular place
Target Game - Create decimals or fractions to get as close to the target or benchmark decimal or fraction as possible
Death by Decimals Game - Fraction and decimal equivalents
Decention Game - Fraction, decimal, and percent equivalents
Decimal Addition and Subtraction - Practice using interactive base 10 blocks
Decimal Operations Jeopardy - Multi-player practice
All Things Decimal - AAA Math help and practice on anything with decimals (operations, rounding, comparing, equivalencies, and converting)
All Things Decimal II - Cool Math lessons and practice on anything with decimals (place value, converting, repeating, and operations)
Decimal Squares - A variety of interactive games involving decimals
Percents
Percent Conversion - Cool Math lessons and practice on converting to and from percents
Percent and Fraction Matching Game
Percent Equation - Using proportions to find percent
Penguin Waiter Game - Calculate percent tip
Shopping at Troy's Toys - Calculate discount and sale price