# Sr. Cosmas – Second Trimester, 2019-20

Number and Operations

• Use a variety of strategies to multiply three-digit by three-digit numbers
• Use a variety of strategies to divide three-digit numbers by one-digit and two-digit numbers
• Understand that percent means part of a hundred, and write percents as fractions and decimals

Measurement and Data

• Measurement involving customary units
• Measurements involving metric units
• Measurement in volume
• Convert among different-sized standard measurement units within a given measurement system
• Understand the concept of ratio
• Express ratios in different forms
• Understand that percent means part of a hundred, and write percents as fractions and decimals
• Recognize prime and composite numbers
• Recognize fractions, improper fractions, and mixed numbers
• Add, subtract, multiply, and divide fractions
• Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction, and parentheses.

Number System

• Use distributive property to express a sum of two whole numbers with a common factor as a multiple of two whole numbers with no common factor.
• Solve real-world and mathematical problems using rational numbers, coordinate plane, coordinates, and absolute value.

Expressions and Equations

•     Read, write, and evaluate numerical expressions involving exponents and/or variables
•     Read, write, and solve equations and inequalities
•     Recognize two expressions that are equivalent
•     Understand and explain that writing and solving equations and inequalities is a process of answering questions
•     Write and solve real-world and mathematical problems using variables, expressions and equations
•     Write an inequality, and represent a constraint or condition in a real-world or mathematical problems with inequalities
•     Use variables to represent two quantities in real-world problem that change in relationship to one another
•     Identify and represent both the dependent and independent variable
•     Analyze the relationships between dependent and independent variables using graphs, tables, and equations.

Expressions and Equations

• Add, subtract, and expand linear expressions with rational coefficients by applying properties of operations as strategies
• Rewrite expressions in different forms to understand the relationships among numbers
• Construct simple equations and inequalities to solve problems
• Compare and algebraic solution to an arithmetic solution
• Solve world problems involving inequalities graph and interpret the solution set in the context of the problem

Geometry

• Solve problems involving scale drawings of geometric figures
• Draw geometric shapes with given conditions using free hand, ruler, and protractor, and technology
• Describe two dimensional figures resulting from slicing three dimensional figures
• Know and understand the formulas for calculating areas and circumference of a circle.
• Write and solve simple equations and multi-step problems using facts about supplementary, complimentary, vertical, and adjacent angles
• Solve real world and mathematical problems involving area, volume, and surface area of two-and-dimensional problems

Number System

Expressions and Equations

• Graph proportional relationships, interpret unit rate as the slope of the graph
• Use similar triangles to explain the relationship between two equal slopes drawn from different points on a graph
• Derive the equation for a line passing through the origin and a line intercepting the vertical line at a point.
• Solve linear equations in one variable
• Analyze and solve pairs of simultaneous linear equations

Functions

• Understand a function as a rule that assigns to each input exactly one output
• Identify and write ordered pairs
• Read and compare properties of two functions represented in different ways- algebraically, numerically, in tables, verbal descriptions
• Construct a function to model a linear relationship between two quantities
• Determine the rate of change and initial value of the function from a description of a relationship
• Interpret the rate of change and initial value of a linear function in terms of the situation it models or its graph or table of values
• Describe qualitatively the functional relationship between two quantities by analyzing  a graph
• Sketch a graph of a function that has been described verbally.