IMaST Sixth Grade Curriculum

• Compute fluently with rational numbers
• Understand and use ratios and proportions to represent quantitative relationships
• Use factors, multiples, prime factorization, and relatively prime numbers to solve problems
• Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios

• Compute fluently with fractions and decimals
• Work flexibly with fractions, decimals, and percents to solve problems
• Understand and use fractions to represent quantitative relationships
• Develop and analyze algorithms for computing with fractions and develop fluency in their use

• Compute fluently with whole numbers and decimals
• Work flexibly with fractions and decimals to solve problems
• Compare and order fractions and decimals efficiently
• Develop, analyze, and explain methods for solving problems involving proportions, such as finding equivalent ratios

Patterns in Weather

• Understand and use ratios to represent quantitative relationships
• Develop, analyze, and explain methods for solving problems involving proportions, such as finding equivalent ratios
• Develop meaning for percents
• Compare numerical values

• Develop understanding of fractions as parts of unit wholes (Standard Grades 3-5)
• Understand the meaning and effects of multiplication and division with fractions
• Understand the inverse relationship of multiplication and division
• Develop an understanding of large numbers and recognize and appropriately use scientific notation
• Solve problems involving scale factors

• Work flexibly with fractions, decimals, and percents to solve problems
• Understand the meaning and effects of arithmetic operations with integers
• Understand the relationship between the powers of ten

• Describe, extend, and make generalizations about numeric patterns (Standard Grades 3-5)
• Represent, analyze, and generalize a variety of patterns with tables and words
• Use symbolic algebra to represent situations and to solve problems
• Use graphs to analyze the nature of changes in quantities in linear relationships

• Sort, classify, and order objects by size, number, and other properties (Standard Grades Pre-K-2)
• Represent, analyze, and generalize a variety of patterns with tables, graphs, and words

• Represent, analyze, and generalize a variety of patterns with tables and words

• Represent, analyze, and generalize a variety of patterns with graphs

Patterns in Weather

• Describe, extend, and make generalizations about geometric and numeric patterns (Standard Grades 3-5)
• Develop an initial conceptual understanding of different uses of variables

• Represent, analyze, and generalize a variety of patterns with tables

• Not Applicable

• Understand the relationship between diameter and circumference of circles

• Use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area

• Not Applicable

• Not Applicable

Patterns in Weather

• Precisely describe, classify, and understand relationships among types of three-dimensional objects using their defining properties
• Compose and decompose three-dimensional figures to solve problem

• Use geometric models to solve problems in other areas of mathematics, such as measurement (Standard Grades 3-5)
• Draw geometric object with specified properties, such as side lengths or angle measures
• Understand relationships between the height and volume of similar objects
• Understand relationships among the volumes of similar objects

• Investigate, describe, and reason about the results of subdividing, combining, and transforming shapes (Standard Grades 3-5)

• Understand the need for measuring with standard units (Standard Grades 3-5)
• Select and apply techniques and tools to accurately find length and time measures to appropriate levels of precision
• Analyze precision and accuracy in measurement situations (Standard Grades 9-12)
• Develop strategies to determine the circumference of circles and cylinders

• Select and apply techniques and tools to accurately find length measures to appropriate levels of precision
• Solve problems involving scale factors

• Not Applicable

• Understand both metric and customary systems of measurement
• Understand relationships among units and convert form one unit to another within the same system
• Select and apply techniques and tools to accurately find mass, length, and volume measures to appropriate levels of precision
• Solve simple problems involving derived measurements for such attributes at density

Patterns in Weather

• Select and apply techniques and tools to accurately find length and volume measures to appropriate levels of precision
• Develop and use formulas to determine the area of circles
• Develop strategies to determine the volume of cylinders
• Use common benchmarks to select appropriate methods for estimating angle measures between 0 and 180 degrees
• Investigate the relationship of variables affecting volume

• Use common benchmarks to select appropriate methods for estimating measurements
• Select and apply techniques and tools to accurately find length, area, and volume measurements to appropriate levels of precision
• Develop strategies to determine the volume of selected cylinders
• Understand, select, and use units of appropriate size and type to measure volume

• Use common benchmarks to select appropriate methods for estimating measurements
• Select and apply techniques and tools to accurately find length and area measures to appropriate levels of precision
• Develop and use a formula to determine the area of circles

• Represent data using tables and graphs (Standard Grades 3-5)
• Formulate questions, design studies, and collect data about different characteristics within one population
• Find measures of center, including mean
• Make conjectures about possible relationships

• Represent data using tables (Standard Grades 3-5)
• Collect data about different characteristics within one population

• Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population
• Represent data using tables (Standard Grades 3-5)
• Describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible (Standard Grades 3-5)
• Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations
• Compute probabilities for simple compound events

• Formulate questions, design studies, and collect data about different characteristics within one population
• Represent data using tables and graphs such as line plots, bar graphs, line graphs, and stem-and-leaf plots (Standard Grades 3-5)
• Select, create, and use appropriate graphical representations of data, including bar graphs, line plots, and stem-and-leaf plots
• Compare different representations of data and evaluate how well each shows important aspects of the data (Standard Grades 3-5)
• Discuss and understand the correspondence between data sets and their graphical representations, especially line graphs and stem-and-leaf plots
• Find, use, and interpret measures of center and spread, including mean and interquartile range

Patterns in Weather

• Find, use, and interpret measures of center and spread, including mean and interquartile range
• Make judgments about the likelihood of uncertain events and be able to express those judgments as percents

• Find, use, and interpret measures of center, including mean
• Create and use appropriate graphical representations of data, including line graphs
• Collect data about different characteristics within one population
• Use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken

• Create graphical representations of data, including line graphs