Students will:

• Formulate questions that require collecting or acquiring data.
• Determine the data needed to answer a question and collect the data.
• Organize and represent data using a line plot (dot plot) with a title, labeled axes, and a key.
• Organize and represent data using a stem-and-leaf plot with a title and key.
• Analyze data in line plots and stem-and-leaf plots and communicate results.
• Solve addition and subtraction problems using data from line plots and stem-and-leaf plots.
• Describe the mean as a fair share and determine the mean of a data set.
• Determine the median, mode, and range of a data set.
• Use measures of center and range to describe data.

Students will:

• Use the order of operations to simplify numerical expressions with whole numbers, including those with parentheses.
• Describe the steps to simplify a numerical expression using the order of operations.
• Use objects or drawings to show whether a number up to 100 is prime or composite and explain your reasoning.
• Compare and contrast numbers up to 100 as prime or composite.
• Find the prime factors of a number up to 100.
• Identify, describe, extend, and create increasing and decreasing patterns using objects, pictures, numbers, number lines, input/output tables, and function machines.
• Analyze patterns to identify the rule, extend the pattern, or find missing terms.
• Solve problems involving patterns using input and output rules.
• Understand a variable as a symbol representing an unknown quantity.
• Write an equation from a word problem using a variable for the unknown quantity.
• Use an expression with a variable to represent a verbal expression.
• Create and write a word problem to match a given equation with a variable.

Students will:

• Estimate the result of addition, subtraction, multiplication, and division problems.
• Solve single-step and multi-step problems using strategies and algorithms for addition, subtraction, multiplication, and division, including those with remainders.
• Explain what the quotient and remainder represent in a division problem.
• Identify, describe, extend, and create increasing and decreasing patterns using objects, pictures, numbers, number lines, input/output tables, and function machines.
• Analyze patterns to identify the rule, extend the pattern, or find missing terms.
• Solve problems involving patterns using input and output rules.

Students will:

• Use objects and pictures to show fractions with denominators of thirds, eighths, and factors of 100 as decimals.
• Use objects and pictures to show decimals as fractions with denominators of thirds, eighths, and factors of 100.
• Find and recognize equal relationships between fractions and decimals with denominators that are thirds, eighths, and factors of 100.
• Compare and order up to four fractions or decimals from least to greatest or greatest to least and explain your reasoning.

Students will:

• Use estimation strategies to find reasonable solutions for problems involving addition, subtraction, multiplication, and division of decimals.
• Determine the product of two numbers using strategies and algorithms for multiplication.
• Determine the quotient of two numbers using strategies and algorithms for division.
• Solve single-step and multi-step problems involving addition, subtraction, and multiplication of decimals.
• Solve single-step problems involving division of decimals.
• Identify, describe, extend, and create increasing and decreasing patterns using objects, pictures, numbers, number lines, input/output tables, and function machines.
• Analyze patterns to identify the rule, extend the pattern, or find missing terms.
• Solve problems involving patterns using input and output rules.

Students will:

• Choose the most appropriate metric unit for measuring length, mass, and liquid volume.
• Estimate and measure length, mass, and liquid volume using metric units.
• Convert between different metric units of length, mass, and liquid volume.

Students will:

• Find the least common multiple of two numbers to use as the least common denominator for fractions.
• Estimate and determine the sum or difference of fractions and mixed numbers with like and unlike denominators, and simplify the result.
• Solve single-step and multi-step problems involving addition and subtraction of fractions and mixed numbers with like and unlike denominators.
• Solve problems involving multiplication of a whole number and a fraction with models.
•  Identify, describe, extend, and create increasing and decreasing patterns using objects, pictures, numbers, number lines, input/output tables, and function machines.
• Analyze patterns to identify the rule, extend the pattern, or find missing terms.
• Solve problems involving patterns using input and output rules.

Students will:

• Classify angles as right, acute, obtuse, or straight and explain your reasoning.
• Classify triangles by their angles and sides (right, acute, obtuse, equilateral, scalene, isosceles) and explain your reasoning.
• Identify congruent sides and right angles in triangles.
• Compare and contrast different types of triangles.
• Use tools to measure and draw angles.
• Measure angles using appropriate tools and identify the measures in degrees.
• Prove that the sum of the interior angles of a triangle is 180 degrees and use this to find unknown angle measures.
• Solve problems involving unknown angle measures.
• Develop a formula to find the area of a right triangle.
• Estimate and determine the area of a right triangle.
• Understand volume as a measure of capacity and provide examples.
• Develop a formula to find the volume of rectangular prisms.
• Estimate and determine the volume of a rectangular prism.
• Identify whether to use perimeter, area, or volume in a given situation.
• Solve problems involving perimeter, area, and volume.

Students will:

• Determine the probability of an outcome using a sample space represented by a tree diagram, list, or chart.
• Use the Fundamental (Basic) Counting Principle to find the number of possible outcomes.
• Describe the mean as a fair share and determine the mean of a data set.
• Determine the median, mode, and range of a data set.
• Use measures of center and range to describe data.

In this unit, teachers will provide differentiated opportunities for students to explore content at a deeper level.