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# Washington Standards Sixth Grade Mathematics resources

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Core Content: Multiplication and division of fractions and decimals (Numbers, Operations, Algebra) Students have done extensive work with fractions and decimals in previous grades and are now prepared to learn how to multiply and divide fractions and decimals with understanding. They can solve a wide variety of problems that involve the numbers they see every day - whole numbers, fractions, and decimals. By using approximations of fractions and decimals, students estimate computations and verify that their answers make sense.

6.1.A. Compare and order non-negative fractions, decimals, and integers using the number line, lists, and the symbols <, >, or =.

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

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

6.1.B. Represent multiplication and division of non-negative fractions and decimals using area models and the number line, and connect each representation to the related equation.

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 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

6.1.C. Estimate products and quotients of fractions and decimals.

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

6.1.D. Fluently and accurately multiply and divide non-negative fractions and explain the inverse relationship between multiplication and division with fractions.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Fractions

Flip Charts Multiplying & Dividing Fractions

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

6.1.E. Multiply and divide whole numbers and decimals by 1000, 100, 10, 1, 0.1, 0.01, and 0.001.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

6.1.F. Fluently and accurately multiply and divide non-negative decimals.

Flip Charts Math Grade 5

Flip Charts Multiplying & Dividing Decimals

Flip Charts Multiplying & Dividing Decimals

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

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

6.1.G. Describe the effect of multiplying or dividing a number by one, by zero, by a number between zero and one, and by a number greater than one.

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

Core Content: Mathematical expressions and equations (Operations, Algebra) Students continue to develop their understanding of how letters are used to represent numbers in mathematics - an important foundation for algebraic thinking. Students use tables, words, numbers, graphs, and equations to describe simple linear relationships. They write and evaluate expressions and write and solve equations. By developing these algebraic skills at the middle school level, students will be able to make a smooth transition to high school mathematics.

6.2.A. Write a mathematical expression or equation with variables to represent information in a table or given situation.

Flip Charts Introduction to Algebra

Flip Charts Introduction to Algebra

Flip Charts Math Grade 5

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

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

6.2.B. Draw a first-quadrant graph in the coordinate plane to represent information in a table or given situation.

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

6.2.C. Evaluate mathematical expressions when the value for each variable is given.

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

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

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

6.2.D. Apply the commutative, associative, and distributive properties, and use the order of operations to evaluate mathematical expressions.

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

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 Order of Operations

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

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

6.2.E. Solve one-step equations and verify solutions.

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

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

6.2.F. Solve word problems using mathematical expressions and equations and verify solutions.

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

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

Core Content: Ratios, rates, and percents (Numbers, Operations, Geometry/Measurement, Algebra, Data/Statistics/Probability) Students extend their knowledge of fractions to develop an understanding of what a ratio is and how it relates to a rate and a percent. Fractions, ratios, rates, and percents appear daily in the media and in everyday calculations like determining the sale price at a retail store or figuring out gas mileage. Students solve a variety of problems related to such situations. A solid understanding of ratios and rates is important for work involving proportional relationships in grade seven.

6.3.A. Identify and write ratios as comparisons of part-to-part and part-to-whole relationships.

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

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

6.3.B. Write ratios to represent a variety of 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

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

6.3.C. Represent percents visually and numerically, and convert between the fractional, decimal, and percent representations of a number.

Flip Charts All About Percents

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Ratio, Proportion & Percent

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

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 Percent, Rate, Base

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

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

6.3.D. Solve single- and multi-step word problems involving ratios, rates, and percents, and verify the solutions.

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

6.3.E. Identify the ratio of the circumference to the diameter of a circle as the constant pi, and recognize 22/7 and 3.14 as common approximations of pi.

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

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 Measurement, Perimeter, and Circumference

6.3.F. Determine the experimental probability of a simple event using data collected in an experiment.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

6.3.G. Determine the theoretical probability of an event and its complement and represent the probability as a fraction or decimal from 0 to 1 or as a percent from 0 to 100.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

Core Content: Two- and three-dimensional figures (Geometry/Measurement, Algebra) Students extend what they know about area and perimeter to more complex two-dimensional figures, including circles. They find the surface area and volume of simple three-dimensional figures. As they learn about these important concepts, students can solve problems involving more complex figures than in earlier grades and use geometry to deal with a wider range of situations. These fundamental skills of geometry and measurement are increasingly called for in the workplace and they lead to a more formal study of geometry in high school.

6.4.A. Determine the circumference and area of circles.

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

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 Measurement, Perimeter, and Circumference

6.4.C. Solve single- and multi-step word problems involving the relationships among radius, diameter, circumference, and area of circles, and verify the solutions.

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

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 Measurement, Perimeter, and Circumference

6.4.E. Determine the surface area and volume of rectangular prisms using appropriate formulas and explain why the formulas work.

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

6.4.F. Determine the surface area of a pyramid.

Flip Charts Area & Circumference of Circles

Flip Charts Math Grade 6

Flip Charts Surface Areas of Solid Figures

6.4.G. Describe and sort polyhedra by their attributes: parallel faces, types of faces, number of faces, edges, and vertices.

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 Finding Volume

Additional Key Content (Numbers, Operations) Students extend their mental math skills now that they have learned all of the operations - addition, subtraction, multiplication, and division - with whole numbers, fractions, and decimals. Students continue to expand their understanding of our number system as they are introduced to negative numbers for describing positions or quantities below zero. These numbers are a critical foundation for algebra, and students will learn how to add, subtract, multiply, and divide positive and negative numbers in seventh grade as further preparation for algebraic study.

6.5.A. Use strategies for mental computations with non-negative whole numbers, 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 Fractions

Flip Charts Multiplying & Dividing Fractions

Flip Charts Numbers & Operations

Flip Charts Operations with Mixed Numbers

Flip Charts Operations with Mixed Numbers

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 Commutative/Associative Properties

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

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

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

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

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

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

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

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

6.5.B. Locate positive and negative integers on the number line and use integers to represent quantities in various contexts.

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

6.5.C. Compare and order positive and negative integers using the number line, lists, and the symbols <, >, or =.

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