Arithmetic

Unit 1

• Compute fluently with multi-digit numbers including decimals
• Interpret and compute division of fractions by fractions
• Represent fraction operations with models and equations
• Find common factors and multiples of whole numbers
• Understand positive and negative numbers
• Describe real world uses of positive and negative numbers
• Compare and order rational numbers on a number line
• Understand and find absolute values of numbers
• Identify and explain prime and composite numbers

Unit 2

• Find and graph positive and negative numbers as ordered pairs in a coordinate plane
• Solve real world problems with fractions and positive and negative numbers
• Evaluate positive rational numbers with whole number exponents
• Read, write, simplify, and evaluate expressions in which letters stand for numbers
• Identify parts of an expression
• Identify equivalent expressions
• Read, write, and solve one-variable equations
• Read, write, represent (on a number line), and solve inequalities
• Recognize that inequalities have an infinite number of solutions

Unit 3

• Apply the order of operations and properties to operations to solve equations
• Develop an understanding of statistical variability
• Recognize, describe, and formulate statistical questions
• Interpret and create graphical representations of numerical data
• Understand that a set of data has a distribution described by its center, spread (or range), and overall shape
• Summarize and describe numerical data sets
• Describe ratio relationships between two quantities
• Understand the concept of unit rate
• Use models to show and solve rate and ratio problems

Unit 4

• Use ratio reasoning to solve problems involving unit pricing and constant speed
• Find and use equivalent ratios to solve problems
• Find a percent of a quantity as a rate per 100
• Solve problems involving finding the whole, given a part and percent
• Convert measurement units when multiplying and dividing quantities
• Find areas of right triangles, quadrilaterals, and polygons by composing them into rectangles or decomposing them into triangles or other shapes
• Find volumes of right rectangular prisms (including those with fractional edge lengths) by packing with cubes and applying formulas.
• Draw polygons in a coordinate plane when given coordinates for vertices
• Represent three-dimensional figures using nets made of rectangles and triangles
• Use nets to find surface area of three-dimensional figures
• Solve real world and mathematical problems involving area, surface area, and volume