Cluster Reasoning and Numerical Expressions
• Understand and find a percent of a quantity as a ratio per 100.
• Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.
• Finding the whole, given a part and the percent.
• Interpret and compute quotients of fractions.
• Solve real-world and mathematical problems involving division of fractions.
Fluently divide using long division with a minimum of a four-digit dividend and interpret the quotient and remainder in context
Apply and extend previous understandings of decimals to develop and fluently use the standard algorithms for addition, subtraction, multiplication and division of decimals.
• Describe quantities having opposite directions or values.
• Represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
• Understand the absolute value of a rational number as its distance from 0 on the number line to: o Interpret absolute value as magnitude for a positive or negative quantity in a real world context.