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.
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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
- Ratio and Proportion
Students will be able to:- Understand ratio, using ratios to describe the relationship between two quantities
- Demonstrate understanding of unit rates
- .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
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
- Measuring Surface Area of Three-dimensional Figures
Students will be able to:- Describe, explain, and evaluate surface area using models
- Determining Volume
Students will be able to:- Represent volume as cubic units
- Find the volume of a cube and rectangular prism
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
- 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
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
- 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)
- 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