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N.1.Number and Operations (NCTM)
Number and Operations (NCTM)
1.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
1.1.1. Work flexibly with fractions, decimals, and percents to solve problems.
1.2.2. Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals.
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
1.2.3. Understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems.
1.3. Compute fluently and make reasonable estimates.
1.3.1. Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.
11.1. Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals
11.1.1. Students use the meanings of fractions, multiplication and division, and the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing fractions and explain why they work. They use the relationship b
11.2. Number and Operations: Connecting ratio and rate to multiplication and division
11.2.1. Students use simple reasoning about multiplication and division to solve ratio and rate problems (e.g., 'If 5 items cost $3.75 and all items are the same price, then I can find the cost of 12 items by first dividing $3.75 by 5 to find out how much one ite
11.3. Algebra: Writing, interpreting, and using mathematical expressions and equations
11.3.1. Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
N.12.Connections to the Grade 6 Focal Points (NCTM)
Connections to the Grade 6 Focal Points (NCTM)
12.1. Number and Operations: Students' work in dividing fractions shows them that they can express the result of dividing two whole numbers as a fraction (viewed as parts of a whole). Students then extend their work in grade 5 with division of whole numbers to
12.2. Algebra: Students use the commutative, associative, and distributive properties to show that two expressions are equivalent. They also illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., determining
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
12.3. Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grad
3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
3.1.1. Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.
3.1.3. Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
4.2.3. Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.
5.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
5.1.1. Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population.
Quiz, Flash Cards, Worksheet, Game & Study GuideData Analysis
Quiz, Flash Cards, Worksheet, Game & Study GuideOrganizing Data
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
5.2.2. Discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.
Quiz, Flash Cards, Worksheet, Game & Study GuideTables
5.3. Develop and evaluate inferences and predictions that are based on data.
5.3.2. Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit.