Edison School District

Developing a desire for lifelong learning

By the end of sixth grade, students have mastered the four arithmetic operations with whole numbers,     fractions and decimals and apply these skills to solve problems and are introduced to negative numbers.  They understand the statistical concepts of range, mean, median and mode and are introduced to sampling processes.  Probability of an event is explored by listing probable outcomes.  They    understand the concept of ratio and proportion and they compute          percentage in problem solving       situations.  They explore the concept of “pi” and are introduced to           circumference and area of a circle.  They use variables in formulas        involving geometric shapes and in    representing an unknown part of a    ratio.  They solve one-step linear      equations.

Number Sense

Þ   Students understand, compare, and order fractions, decimals, mixed numbers and integers

Þ   Solve problems involving fractions, ratios, proportions and percentages

Þ   Compare and order fractions,    decimals and mixed numbers by     placing them on a number line

Þ   Interpret and use ratios in       different situations

Þ   Use proportional reasoning to solve problems

Þ   Calculate given percentages of quantities and solve problems involving discounts, interest earned and tips

Þ   Understand the purpose of       reciprocals in the dividing of fractions

Þ   Estimate, calculate, and solve problems involving addition,             subtraction, multiplication and       division

Þ    Solve problems involving addition,   subtraction, multiplication and division of fractions

Þ   Model and solve problems requiring the use of positive and negative numbers using any of the four arithmetic operations

Þ   Find the least common multiple and greatest common divisor

Algebra & Functions

Þ   Students write verbal expressions and sentences as algebraic expressions and equations

Þ   Solve simple linear equations and graph their results

Þ   Write and solve one-step linear     equations having one variable

Þ   Write and evaluate an algebraic      expression for a given situation using up to three variables (example: area of a rectangle = length times width, A=L x W)

Þ   Apply algebraic order of operations and the commutative, associative and    distributive properties

Þ    Analyze and use tables, simple graphs and rules to solve problems involving rates and proportions

Þ    Convert from one unit of              measurement to another (example: from inches to feet to yards, from               centimeters to meters)

Þ   Know that rate is a measure of one quantity per unit value of another      quantity (example: miles per hour)

Þ   Solve problems involving rates,        average speed, distance and time

Þ    Investigate geometric patterns and describe them algebraically

Measurement & Geometry

Þ     Students deepen their understanding of measurement of plane and solid shapes

Þ   Use ruler and compass to draw circles with given diameters or radii

Þ   Explore the common estimates of pi and use these values to estimate and    calculate the circumference and the area of circles

Þ   Compare the similarity between the formulas for determining the volume of a rectangular prism to the formulas for   determining the volume of triangular prisms and cylinders

Þ   Identify the properties of two-dimensional figures.

 

Þ   Use formulas for determining the area of triangles and parallelograms and the volume of rectangular prisms

Þ   Identify angles        

Þ   Draw quadrilaterals and triangles and describe their properties

Statistics, Data Analysis & Probability

Þ   Students compute and analyze     statistical measurement

Þ   Compute the range, mean, median and mode of data sets

Þ Know why a specific measure of central tendency (mean, median, mode) provides the most useful information

Þ Use data samples of a population and describe the characteristics and limitations of the samples

Þ Identify different ways of          selecting a sample and determine if it is biased

Þ Identify claims based on statistical data and evaluate the validity

Þ Determine probabilities and use these to make predictions

Þ Use data to estimate the          probability for future events

Þ Represent probabilities as        fractions, decimals and percents and check that probabilities are reasonable

Þ Understand the difference        between independent and dependent events

Mathematical Reasoning

Þ   Students make decisions about how to approach problems

Þ   Analyze problems by identifying relationships, discriminating,            prioritizing and identifying missing     information

Þ Determine when and how to break a problem into simpler parts

Þ   Use estimation to verify the       reasonableness of answers

Þ   Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams and models to explain mathematical reasoning