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# Minnesota Standards Sixth Grade Mathematics resources

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Number & Operation

6.1.1. Read, write, represent and compare positive rational numbers expressed as fractions, decimals, percents and ratios; write positive integers as products of factors; use these representations in real-world and mathematical situations.

6.1.1.1. Locate positive rational numbers on a number line and plot pairs of positive rational numbers on a coordinate grid.

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

Flip Charts Shape Up

Flip Charts Slope

Flip Charts The Coordinate Plane

Vocabulary Terms Plot Points

Vocabulary Terms Plotting Points

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

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

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

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

6.1.1.2. Compare positive rational numbers represented in various forms. Use the symbols <, = and >.

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

6.1.1.3. Understand that percent represents parts out of 100 and ratios to 100.

Flip Charts Math Grade 5

Flip Charts Math Grade 8

Flip Charts Ratio, Proportion & Percent

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 Percentage

6.1.1.4. Determine equivalences among fractions, decimals and percents; select among these representations to solve problems.

Flip Charts All About Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Vocabulary Terms 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 Percentage

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

6.1.1.5. Factor whole numbers; express a whole number as a product of prime factors with exponents.

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

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

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

6.1.1.6. Determine greatest common factors and least common multiples. Use common factors and common multiples to calculate with fractions and find equivalent fractions.

Flip Charts All About Percents

Flip Charts Box It Up

Flip Charts Exponents, Factors & Multiples

Flip Charts Math Grade 5

Flip Charts Math: Grade 7

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

Flip Charts Triangle Tricks

Vocabulary Terms Common Factors

Vocabulary Terms Equivalent Fractions

Vocabulary Terms Proportions/Equivalent Fractions

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 Common Factors

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

6.1.1.7. Convert between equivalent representations of positive rational numbers.

Flip Charts All About Percents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Vocabulary Terms 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 Percentage

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

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

6.1.2. Understand the concept of ratio and its relationship to fractions and to the multiplication and division of whole numbers. Use ratios to solve real-world and mathematical problems.

6.1.2.1. Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.

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

6.1.2.2. Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts, including those involving mixtures and concentrations.

Flip Charts Math Grade 8

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

6.1.2.3. Determine the rate for ratios of quantities with different units.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

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

6.1.2.4. Use reasoning about multiplication and division to solve ratio and rate problems.

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 Formulas

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

6.1.3. Multiply and divide decimals, fractions and mixed numbers; solve real-world and mathematical problems using arithmetic with positive rational numbers.

6.1.3.1. Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

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

6.1.3.2. Use the meanings of fractions, multiplication, division and the inverse relationship between multiplication and division to make sense of procedures for multiplying and dividing 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

6.1.3.3. Calculate the percent of a number and determine what percent one number is of another number to solve problems in various contexts.

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 Percent, Rate, Base

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

6.1.3.4. Solve real-world and mathematical problems requiring arithmetic with decimals, fractions and mixed numbers.

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 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 Subtracting Fractions

6.1.3.5. Estimate solutions to problems with whole numbers, fractions and decimals and use the estimates to assess the reasonableness of results in the context of the problem.

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

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

Algebra

6.2.1. Recognize and Represent relationships between varying quantities; translate from one representation to another; use patterns, tables, graphs and rules to solve real world and mathematical problems.

6.2.1.1. Understand that a variable can be used to represent a quantity that can change, often in relationship to another changing quantity. Use variables in various contexts.

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

6.2.2. Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving positive rational numbers.

6.2.2.1. Apply the associative, commutative and distributive properties and order of operations to generate equivalent expressions and to solve problems involving positive rational numbers.

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

Vocabulary Terms Order of Operations

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

6.2.3. Understand and interpret equations and inequalities involving variables and positive rational numbers. Use equations and inequalities to represent real world and mathematical problems; use the idea of maintaining equality to solve equations. Interpret solutions in the original context.

6.2.3.1. Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers.

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

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

Geometry & Measurement

6.3.1. Calculate perimeter, area, surface area and volume of two and three dimensional figures to solve real-world and mathematical problems.

6.3.1.1. Calculate the surface area and volume of prisms and use appropriate units, such as cm2 and cm3. Justify the formulas used. Justification may involve decomposition, nets or other models.

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

6.3.1.2. Calculate the area of quadrilaterals. Quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids and kites. When formulas are used, be able to explain why they are valid.

Flip Charts Math Grade 8

Flip Charts Shape Up

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 of Triangles and Quadrilaterals

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

6.3.2. Understand and use relationships between angles in geometric figures.

6.3.2.1. Solve problems using the relationships between the angles formed by intersecting lines.

Flip Charts Math Grade 8

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

6.3.3. Choose appropriate units of measurement and use ratios to convert within measurement systems to solve real-world and mathematical problems.

6.3.3.1. Solve problems in various contexts involving conversion of weights, capacities, geometric measurements and times within measurement systems using appropriate units.

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

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

Data Analysis & Probability

6.4.1. Use probabilities to solve real-world and mathematical problems; represent probabilities using fractions, decimals and percents.

6.4.1.2. Determine the probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1 inclusive. Understand that probabilities measure likelihood.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

6.4.1.3. Perform experiments for situations in which the probabilities are known, compare the resulting relative frequencies with the known probabilities; know that there may be differences.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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

6.4.1.4. Calculate experimental probabilities from experiments; represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

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