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# U.S. National Standards Seventh 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 Applying Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

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 Numbers and percents

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 Rational numbers and operations

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

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 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 Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts The Real Numbers

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

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 Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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 Integers & Exponents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

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

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

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

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 6

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

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 Integers & Exponents

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

Flip Charts The Real Numbers

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

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 Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract 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 Integer 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 Rational numbers and operations

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 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Properties of Addition & Multiplication

Flip Charts Properties of Addition & Multiplication

Flip Charts The Real Numbers

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 6

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Solving Equations

Flip Charts Solving Equations

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract 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 Rational numbers and operations

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 Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract 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 Integer 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 Rational numbers and operations

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

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 Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Triangle Tricks

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

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 Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

Grade 7 Curriculum Focal Points (NCTM)

11.1. Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity

11.1.1. Students extend their work with ratios to develop an understanding of proportionality that they apply to solve single and multi-step problems in numerous contexts. They use ratio and proportionality to solve a wide variety of percent problems, including problems involving discounts, interest, taxes, tips, and percent increase or decrease. They also solve problems about similar objects (including figures) by using scale factors that relate corresponding lengths of the objects or by using the fact that relationships of lengths within an object are preserved in similar objects. Students graph proportional relationships and identify the unit rate as the slope of the related line. They distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x).

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

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

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

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 Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

11.2. Measurement and Geometry and Algebra: Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes

11.2.1. By decomposing two- and three-dimensional shapes into smaller, component shapes, students find surface areas and develop and justify formulas for the surface areas and volumes of prisms and cylinders. As students decompose prisms and cylinders by slicing them, they develop and understand formulas for their volumes (Volume = Area of base x Height). They apply these formulas in problem solving to determine volumes of prisms and cylinders. Students see that the formula for the area of a circle is plausible by decomposing a circle into a number of wedges and rearranging them into a shape that approximates a parallelogram. They select appropriate two- and three-dimensional shapes to model real-world situations and solve a variety of problems (including multi-step problems) involving surface areas, areas and circumferences of circles, and volumes of prisms and cylinders.

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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 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 Perimeter and area

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

11.3. Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

11.3.1. Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

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

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

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

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

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

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

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

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

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 One & Two Step Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

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

Connections to the Grade 7 Focal Points (NCTM)

12.1. Measurement and Geometry: Students connect their work on proportionality with their work on area and volume by investigating similar objects. They understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related. Students apply their work on proportionality to measurement in different contexts, including converting among different units of measurement to solve problems involving rates such as motion at a constant speed. They also apply proportionality when they work with the circumference, radius, and diameter of a circle; when they find the area of a sector of a circle; and when they make scale drawings.

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 Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Perimeter & Area

Flip Charts Ratios, Rates & Proportions

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

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

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

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

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

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

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

12.2. Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.

Flip Charts All About Percents

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Triangle Tricks

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

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 Number Patterns

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

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

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

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 Rational and Irrational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

12.3. Data Analysis: Students use proportions to make estimates relating to a population on the basis of a sample. They apply percentages to make and interpret histograms and circle graphs.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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 Plane Figures: Closed Figure Relationships

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

12.4. Probability: Students understand that when all outcomes of an experiment are equally likely, the theoretical probability of an event is the fraction of outcomes in which the event occurs. Students use theoretical probability and proportions to make approximate predictions.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

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 Arithmetic & Sequences

Flip Charts Circle Around

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 Sequences

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 Algebra Skills

Flip Charts Applying Percents

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Functions

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 Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Flip Charts Systems of Equations

Flip Charts Systems of Equations

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

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.

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 Equations and Inequalities

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

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 Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

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 Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

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.

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 Perimeter & Area

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

Flip Charts The Pythagorean Theorem

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 Perimeter

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

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 Three dimensional geometry/Measurement

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

Flip Charts Ratios, Rates & Proportions

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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 Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions

Flip Charts The Pythagorean Theorem

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

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

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 Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

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.

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

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

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 Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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 and area

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

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

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.

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.

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 Algebra Skills

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 Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

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, Perimeter, and Circumference

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

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

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 Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Flip Charts Surface Areas of Solid Figures

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

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

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 Three dimensional geometry/Measurement

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

Flip Charts Ratios, Rates & Proportions

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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

Flip Charts Ratios, Rates & Proportions

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

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

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

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 Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

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 Math Grade 8

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

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

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

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

Flip Charts Organizing & Displaying Data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

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

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 Experimental Probability

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

Problem Solving (NCTM)

6.1. Build new mathematical knowledge through problem solving.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

6.2. Solve problems that arise in mathematics and in other contexts.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

6.3. Apply and adapt a variety of appropriate strategies to solve problems.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

Reasoning and Proof (NCTM)

7.1. Recognize reasoning and proof as fundamental aspects of mathematics.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.2. Make and investigate mathematical conjectures.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.3. Develop and evaluate mathematical arguments and proofs.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

7.4. Select and use various types of reasoning and methods of proof.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

Connections (NCTM)

9.2. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes