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# U.S. National Standards Sixth Grade Mathematics resources

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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.

Flip Charts All About Percents

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Flip Charts Ratio, Proportion & Percent

Vocabulary Terms Add/Subtract Fractions

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Vocabulary Terms Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage

Quiz, Flash Cards, Worksheet, Game & Study Guide Percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

1.1.2. Compare and order fractions, decimals, and percents efficiently and find their approximate locations on a number line.

Vocabulary Terms Compare and Order Fractions

Vocabulary Terms Less Than, Greater Than

Vocabulary Terms Ordering Decimals

Vocabulary Terms Ordering Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Compare and Order Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions/Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Less Than, Greater Than

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ordering Fractions

1.1.3. Develop meaning for percents greater than 100 and less than 1.

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

1.1.4. Understand and use ratios and proportions to represent quantitative relationships.

Flip Charts All About Percents

Flip Charts Box It Up

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Vocabulary Terms Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

1.1.5. Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Vocabulary Terms Exponential & Scientific Notation

Quiz, Flash Cards, Worksheet, Game & Study Guide Evaluate Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponential & Scientific Notation

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Repeated Multiplication to Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents to Repeated Multiplication

1.1.6. Use factors, multiples, prime factorization, and relatively prime numbers to solve problems.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Vocabulary Terms Common Factors

Quiz, Flash Cards, Worksheet, Game & Study Guide Common Factors

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns

1.1.7. Develop meaning for integers and represent and compare quantities with them.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Introduction to Integers

Flip Charts Introduction to Integers

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts The Coordinate Plane

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Positive & Negative Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

1.2. Understand meanings of operations and how they relate to one another.

1.2.1. Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Vocabulary Terms Add/Subtract Fractions

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

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.

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

Vocabulary Terms Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Using 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.

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Solving Equations

Flip Charts Solving Equations

Vocabulary Terms Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

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.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Vocabulary Terms Add/Subtract Fractions

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

1.3.2. Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

Vocabulary Terms Add/Subtract Fractions

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Vocabulary Terms Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtracting Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

1.3.3. Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results.

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

1.3.4. Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Flip Charts All About Percents

Flip Charts Box It Up

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Vocabulary Terms Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

Grade 6 Curriculum Focal Points (NCTM)

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 between decimals and fractions, as well as the relationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to understand and explain the procedures for multiplying and dividing decimals. Students use common procedures to multiply and divide fractions and decimals efficiently and accurately. They multiply and divide fractions and decimals to solve problems, including multi-step problems and problems involving measurement.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Vocabulary Terms Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract/Multiply/Divide Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

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 item costs and then multiplying the cost of a single item by 12'). By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative sizes of quantities, students extend whole number multiplication and division to ratios and rates. Thus, they expand the repertoire of problems that they can solve by using multiplication and division, and they build on their understanding of fractions to understand ratios. Students solve a wide variety of problems involving ratios and rates.

Flip Charts Box It Up

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratio, Proportion & Percent

Flip Charts Triangle Tricks

Vocabulary Terms Proportions/Equivalent Fractions

Vocabulary Terms Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

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 specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Introduction to Functions

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Vocabulary Terms Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

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 give mixed number and decimal solutions to division problems with whole numbers. They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. Students distinguish multiplicative comparisons from additive comparisons.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

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 the area in two different ways for a rectangle whose dimensions are x + 3 by 5). Sequences, including those that arise in the context of finding possible rules for patterns of figures or stacks of objects, provide opportunities for students to develop formulas.

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

Vocabulary Terms Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Distributive Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Using 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 grade 5 on area and volume and provide a context for applying new work with equations.

Flip Charts Area & Circumference of Circles

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Vocabulary Terms Area and Circumference of Circles

Vocabulary Terms Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

Algebra (NCTM)

2.1. Understand patterns, relations, and functions.

2.1.1. Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules.

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Nonlinear Functions & Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Patterns

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns

2.2. Represent and analyze mathematical situations and structures using algebraic symbols.

2.2.1. Develop an initial conceptual understanding of different uses of variables.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

2.2.2. Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope.

Flip Charts Math: Grade 7

Flip Charts Slope

Vocabulary Terms Nonlinear Functions and Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

2.2.3. Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

2.2.4. Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Vocabulary Terms Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

2.3. Use mathematical models to represent and understand quantitative relationships.

2.3.1. Model and solve contextualized problems using various representations, such as graphs, tables, and equations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

2.4. Analyze change in various contexts.

2.4.1. Use graphs to analyze the nature of changes in quantities in linear relationships.

Vocabulary Terms Nonlinear Functions and Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

Geometry (NCTM)

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.

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Flip Charts The Pythagorean Theorem

Vocabulary Terms Polygon Characteristics

Vocabulary Terms Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Polygon Characteristics

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

3.1.2. Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

3.1.3. Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide Congruent Shapes

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Closed Figure Relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

3.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

3.2.1. Use coordinate geometry to represent and examine the properties of geometric shapes.

Flip Charts Shape Up

Vocabulary Terms Plot Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

3.2.2. Use coordinate geometry to examine special geometric shapes, such as regular polygons or those with pairs of parallel or perpendicular sides.

Flip Charts Shape Up

Vocabulary Terms Plot Points

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Plot Points

3.3. Apply transformations and use symmetry to analyze mathematical situations.

3.3.1. Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

3.3.2. Examine the congruence, similarity, and line or rotational symmetry of objects using transformations.

Flip Charts Congruence, Transformation & Symmetry

Flip Charts Congruence, Transformations & Symmetry

Flip Charts Math Grade 5

3.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.

3.4.4. Use geometric models to represent and explain numerical and algebraic relationships.

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Vocabulary Terms Area and Circumference of Circles

Vocabulary Terms Area of Triangles and Quadrilaterals

Vocabulary Terms Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/Capacity

Measurement (NCTM)

4.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.

4.1.1. Understand both metric and customary systems of measurement.

Vocabulary Terms Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

4.1.2. Understand relationships among units and convert from one unit to another within the same system.

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

4.1.3. Understand, select, and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.

Flip Charts Lines, Angles & Circles

Flip Charts Lines, Angles & Circles

Flip Charts Math Grade 5

Vocabulary Terms Angles

Vocabulary Terms Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

4.2. Apply appropriate techniques, tools, and formulas to determine measurements.

4.2.2. Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Lines, Angles & Circles

Flip Charts Lines, Angles & Circles

Flip Charts Math Grade 5

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Vocabulary Terms Angles

Vocabulary Terms Area and Circumference of Circles

Vocabulary Terms Area of Triangles and Quadrilaterals

Vocabulary Terms Measurement

Vocabulary Terms Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Coordinate Polygons

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume/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.

Flip Charts Area & Circumference of Circles

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Vocabulary Terms Area and Circumference of Circles

Vocabulary Terms Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Area of Triangles and Quadrilaterals

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

4.2.4. Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders.

Flip Charts Area & Circumference of Circles

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math: Grade 7

Flip Charts Surface Areas of Solid Figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

4.2.5. Solve problems involving scale factors, using ratio and proportion.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions

4.2.6. Solve simple problems involving rates and derived measurements for such attributes as velocity and density.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Data Analysis and Probability (NCTM)

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.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Vocabulary Terms Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

5.1.2. Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Vocabulary Terms Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

5.2. Select and use appropriate statistical methods to analyze data.

5.2.1. Find, use, and interpret measures of center and spread, including mean and interquartile range.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Vocabulary Terms Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Data Analysis

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

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.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Vocabulary Terms Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

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.

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

5.3.3. Use conjectures to formulate new questions and plan new studies to answer them.

Flip Charts Collecting & Displaying Data

Flip Charts Collecting & Displaying Data

Flip Charts Math Grade 5

5.4. Understand and apply basic concepts of probability

5.4.2. Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

5.4.3. Compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models.

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability