Students will:

• Create questions that need data collection, focusing on circle graphs.
• Figure out what data is needed to answer the question and collect the data using different methods (e.g., observing, measuring, surveys, experiments).
• Organize and show the data using circle graphs, with or without technology tools. Limit the number of data values so they can be easily compared (e.g., in a class of 20 students, if 7 like apples best, the comparison is 7 out of 20, 7/20, or 35%).
• Look at the data in the circle graph, make observations, and draw conclusions about what the data shows.
• Show the mean of a data set graphically as the balance point in a line plot.
• Determine the effect on the mean, median, mode, and range when a single value is added, removed, or changed.
• Identify outliers in data and determine their effect on statistical measures.

Students will:

• Identify and describe prime and composite numbers.
• Find the least common multiple and the greatest common divisor of two numbers.
• Represent a linear inequality from a graph on a number line using symbols.
• Write a linear inequality to represent a given constraint or condition from a graph on a number line.
• Create a real-life situation or graph for a given linear inequality in one variable.
• Use substitution or a number line graph to check if a number makes a linear inequality true.
• Identify values that are part of the solution set of a given inequality in one variable.

Students will:

• Compare and order positive rational numbers.
• Represent fractions, decimals, and percents as ratios.
• Show a relationship between two quantities using ratios.
• Represent a relationship in context using ratio notations (a/b, a
  , a to b).
• Show different comparisons within the same quantity or between different quantities.
• Describe a relationship in words for a given ratio.
• Create a table of equivalent ratios to represent a proportional relationship between two quantities.
• Create a table of equivalent ratios from a real-life situation to represent a proportional relationship.

Students will:

• Identify and label the axes, origin, and quadrants of a coordinate plane.
• Identify and describe the location of a point given as an ordered pair.
• Graph ordered pairs in all four quadrants of the coordinate plane.
• Identify ordered pairs represented by points in all four quadrants of the coordinate plane.
• Relate the coordinates of a point to the distance from each axis and to another point on the same line.
• Draw polygons in the coordinate plane given the coordinates of the vertices and determine the length of sides joining points with the same first or second coordinate. Solve related problems.
• Identify regular polygons.
• Draw lines of symmetry to divide regular polygons into two congruent parts.
• Determine if segments, angles, and polygons are congruent based on their properties.
• Decide if polygons are congruent based on the measures of their sides and angles.

Students will:

• Recognize and show patterns with whole number exponents.
• Recognize and show patterns of perfect squares up to 20220^2202 using visual models.
• Show if a number between 0 and 400 is a perfect square using models or reasoning.
• Recognize and show powers of 10 with whole number exponents by examining patterns in place value.
• Show addition, subtraction, multiplication, and division of integers using visual models.
• Add, subtract, multiply, and divide two integers.
• Simplify an expression with absolute value bars and an operation with two integers, and show the result on a number line.
• Estimate, solve, and explain single-step and multistep problems involving addition, subtraction, multiplication, and division with integers.

Students will:

• Show multiplication and division of fractions and mixed numbers using visual models.
• Multiply and divide fractions and mixed numbers with denominators of 12 or less. Express answers in simplest form.
• Explain the effect of multiplying or dividing a fraction, whole number, or mixed number by a number between zero and one.
• Estimate, solve, and explain single-step and multistep problems involving addition and subtraction with fractions and mixed numbers, including like and unlike denominators of 12 or less. Express answers in simplest form.

Students will:

• Identify the unit rate of a proportional relationship from a table, context, or graph.
• Find a missing value in a ratio table representing a proportional relationship using the unit rate.
• Determine if a proportional relationship exists between two quantities from a table, context, or graph.
• Given a real-life situation with a proportional relationship, find the unit rate and create a table or graph.
• Connect multiple representations (verbal descriptions, ratio tables, graphs) of the same proportional relationship.

Students will:

• Identify the unit rate of a proportional relationship from a table, context, or graph.
• Find a missing value in a ratio table representing a proportional relationship using the unit rate.
• Determine if a proportional relationship exists between two quantities from a table, context, or graph.
• Given a real-life situation with a proportional relationship, find the unit rate and create a table or graph.
• Connect multiple representations (verbal descriptions, ratio tables, graphs) of the same proportional relationship.

Students will:

• Identify and describe parts of a circle: chord, diameter, radius, circumference, and area.
• Explain the relationships between diameter and radius, radius and circumference, and diameter and circumference.
• Find an approximation for pi (3.14) by comparing the circumference to the diameter of different circles using models.
• Develop the formula for circumference using the relationships between diameter, radius, and pi.
• Solve problems involving the circumference and area of a circle given the diameter or radius.
• Develop the formula for the area of parallelograms and triangles using visual models.
• Solve problems involving the perimeter and area of triangles and parallelograms.

Students will:

• Formulate questions that require collecting data for circle graphs.
• Determine and collect the data needed to answer a question using various methods (e.g., observations, surveys).
• Ensure the data collected is representative of a larger population.
• Organize and represent data using circle graphs.
• Analyze data in circle graphs by making observations and drawing conclusions.
• Compare data in circle graphs to data in other graphs and justify which graph best represents the data.
• Show the mean of a data set graphically as the balance point in a line plot.
• Determine the effect on the mean, median, mode, and range when a single value is added, removed, or changed.
• Identify outliers in data and determine their effect on statistical measures.

In this unit, teachers will provide differentiated opportunities for students to review previous content and/or explore content at a deeper level.