**Algebraic Thinking C & D:** In this lesson, students will be able to describe a ration relationship between two quantities and use proportional reasoning to solve real-world problems.

# Level C

# Measurement and Data Level C

- Mastery of Level B
- Converting Measurements

Students will be able to:- Solve problems involving conversion of measurement from a larger unit to a smaller unit (e.g., inches to half inches) using proportions
- Solve for
**perimeter**and**area**using formulas

- Understanding Geometry and Measurement

Students will be able to:- Recognize
**angles**as geometric shapes formed by**rays**and begin to understand the concept of measuring angles - Measure or draw
**whole number angles**using protractor - Convert measurements within a given measurement system (e.g., m to mm)
- Make a
**line plot**to display a**data**set of measurements in**fractions**of a unit - Understand the concept of volume and begin to relate
**volume**to addition and multiplication to solve**contextualized applications**

- Recognize
- Ratio and Proportion

Students will be able to:- Understand
**ratio**, using**ratios**to describe the relationship between two quantities - Demonstrate understanding of
**unit rates**

- Understand
- .Introductory Data and Statistics

Students will be able to:- Begin to understand
**statistical variability** - Recognize the center of a data set as representing a summary of information in the data set
- Display information on a
**number line,**including**dot plots,**histograms, and**box plots**

- Begin to understand

# Geometry Level C

- Mastery of Level B
- Drawing, Explaining, and Describing Geometric Terms

Students will be able to identify:**Lines**and**line segments****Rays****Angles****(acute**,**right**,**obtuse;**common angles including 30-, 45, 60-,

and 90-degree angles)**Circles**as comprising 360 degrees**Parallel**and**perpendicular**lines

- Understanding the
**Coordinate Plane**

Students will be able to:- Locate and graph
**points** - Identify lengths of shapes using the
**coordinate plane**

- Locate and graph
- Measuring
**Surface Area**of**Three-dimensional Figures**

Students will be able to:- Describe, explain, and evaluate
**surface area**using models

- Describe, explain, and evaluate
- Determining Volume

Students will be able to:- Represent volume as
**cubic units** - Find the
**volume**of a cube and**rectangular prism**

- Represent volume as

# Number Sense Level C

- Mastery of Level B
- Mastery of
**Place Value**for**Whole Numbers**and**Decimals**to the Thousandths Place

Students will be able to:- Represent whole numbers in
**expanded form** - Recognize patterns in
**place value** - Compare
**whole numbers**and**decimals**using**place value**

- Represent whole numbers in
- Attaining
**Fluency**among all Basic Operations using**Whole numbers**and**Decimals**to the Hundredths Place

Students will be able to:- Add and subtract multi-digit numbers
- Multiply and divide whole numbers up to four digits by whole numbers

up to two digits, including division with**remainders** - Use concrete models or drawings to represent multiplication and
- Apply properties of operations as strategies to add, subtract, multiply,

Apply properties of operations as strategies to add, subtract, multiply,and divide

- Mastery of
**Fractions**

Students will be able to:- Compare
**fractions**including**equivalent fractions** - Order fractions including those with unlike
**denominators** - Understand
**fractions**using factors and**multiples** - Perform basic operations with
**fractions**including operations with

unlike**denominators**and/or mixed numerals - Solve
**contextualized****applications**using**fractions**in all operations - Make comparisons between
**fractions**and**decimals**

- Compare

# Algebraic Thinking Level C

- Mastery of Level B
- Understanding Algebraic Vocabulary Students will be able to:
- Define and use terms including
**factor, multiple, variable, product,****coefficient, quotient, sum, and term**

- Define and use terms including
- Analyzing Patterns Students will be able to:
- Analyze simple graphics or number sets for patterns and generate rules

- Applying
**Order of Operations**Students will be able to:- Create and evaluate
**expressions**using order of**operations** - Write
**expressions**using**variables** - Use properties of operations
**(distributive**and**commutative**)

- Create and evaluate
- Understanding One-variable Equations Students will be able to:
- Analyze and solve one-variable equations and inequalities

- Understanding One-variable Equations Students will be able to:
- Use
**independent**and**dependent variables**to represent and analyze relationships between two related quantities

- Use