6th+Grade+Math

Positive numbers and the number line || Quarter 1 || How has the number system changed? || * Whole numbers, fractions, and decimals are numbers that can be represented in several ways. >, || # Represent whole numbers, fractions, and decimals on a number line. > Multiplying and dividing fractions and decimals || quarter 1 ||  || * Divide a fraction, whole number, or mixed number by a fraction or a mixed number. > || # Write ratios to compare two quantities. Games: fraction capture divisibility dash frac tac toe mixed number spin || Coordinate Geometry Isometry Transformations Congruent Figures Using compass and straightedge Parallel lines and Parallelograms || Apply properties of supplimentary angles and verticles lines Apply properties of angles formed by two parallel lines and a tranversal Applyy properties of angles of parallelograms Calculate degree measures in cicle graphs Use compass and strighedge to construct geometric figures ||  || SMRT Board Games: angle tangle X and O tic tac toe || use an algorithm to add/subtract/multiply/divide positive and negative numbers Find opposite and reciprocals of numbers Add/subtract/multiply/divide positive/negetive numbers Perform operations in order ||  || SMART Board Games: Name that number fraction/whole number top it solution search ||
 * ~ Unit ||~ Start Date (duration) ||~ Essential Questions ||~ Content / Concepts ||~ Skills ||~ Texts ||~ Supporting / Supplementary Materials ||
 * 1
 * Positive numbers can be represented on a number line.
 * You can write a composite number as a product of its prime factors.
 * identify and define composite numbers
 * The greatest common factor of two or more whole numbers is the greatest factor among all the common factors of the numbers.
 * The least common multiple of two or more whole numbers is the least multiple among all the common multiples of the numbers.
 * A perfect square is the square of a whole number. For example, 64 is a perfect square since 64 5 82 . 8 is a square root of 64, and this can be written as 64 5 8.
 * A perfect cube is the cube of a whole number. For example, 8 is a perfect cube since 8 5 23 . 2 is the cube root of 8, and this can be written as 83 5 2.
 * 1) Interpret and write statements of inequality for two given positive numbers using the symbols . and ,.
 * 2) Express a whole number as a product of its prime factors.
 * 1) Find the common factors and the greatest common factor of two whole numbers.
 * 2) Find the common multiples and the least common multiple of two whole numbers.
 * 3) Find a square of a number.
 * 4) Find a square root of a perfect square.
 * 5) Find a cube of a number. • Find a cube root of a perfect cube. • Evaluate numerical expressions involving whole number exponents. ||   ||   ||
 * 2 Negative Numbers and the number line || quarter 1 ||  || * Negative numbers are the opposites of positive numbers.
 * For every positive number, there is a corresponding negative number
 * A negative number is the opposite of its corresponding positive number.
 * A positive number is the opposite of its corresponding negative number. For example, 6 and 26 are opposites.
 * Zero is its own opposite.
 * Negative numbers can be represented on a number line.
 * On a horizontal number line, the lesser number always lies to the left of the greater number.
 * On a vertical number line, the lesser number always lies below the greater number.
 * The absolute value of a number is its distance from 0 on a number line.
 * The absolute value of a positive or a negative number is positive. The absolute value of 0 is 0. || # Use negative numbers to represent real-world quantities.
 * 1) Represent, compare, and order positive and negative numbers on a number line.
 * 2) Understand the absolute value of a number as its distance from 0 on the number line.
 * 3) Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. ||   || ) ||
 * 3
 * To divide any number by a fraction, you can multiply the number by the reciprocal of the fraction.
 * Thinking about the place value of decimal factors can help you think about the place value of the product. • Express both decimals as fractions. Multiply, and then express the result as a decimal. • Multiply the numerical values of the decimals. Then use what you know about the place value of the factors to place the decimal point.
 * two methods for dividing a decimal by a decimal. • Express both decimals as fractions. Divide, and then express the result as a decimal. • Rewrite the division expression as a fraction. Multiply to make the divisor a whole number. Then divide the numerator by the denominator. || # Multiply a decimal by a decimal.
 * 1) Divide a fraction, whole number, or mixed number by a fraction or a mixed number.
 * 2) Multiply decimals with one or more decimal place
 * 3) Divide a whole number or a decimal by a decimal.
 * 4) Solve problems involving fractions or decimals.
 * 4 Ratio || quarter 1 || You can use a ratio to compare two quantities, and you can use ratios to solve problems. || * A ratio compares two or more numbers or quantities.
 * When two quantities have the same units, you can compare them using a ratio without units.
 * The ratio of two numbers, such as 3 and 4, can be written in three ways: 3 to 4, 3 : 4, or 3 4.
 * A ratio can be expressed as another equivalent ratio by multiplying the terms of the ratio by the same multiplying factor or dividing the terms of the ratio by a common factor.
 * Given two equivalent ratios, you can find an unknown term given the other three terms.
 * Given two equivalent ratios, you can find an unknown term given the other three terms.
 * 1) Interpret ratios given in fraction form.
 * 2) Use a ratio to find what fraction one quantity is of another or how many times as great one is as the other.
 * 3) Write equivalent ratios.
 * 4) Write ratios in simplest form.
 * 5) Compare ratios.
 * 6) Solve real-world problems involving ratios.
 * 7) Draw models to solve problems involving ratios of three quantities.
 * 8) Draw models to solve problems involving two sets of ratios ||   || SMART Board
 * 5 || Feb/March || Name some things that do not have angles? || ANGLES
 * Measuring
 * drawing
 * reasoning
 * 6 || April/May || What sort of things need to happen in a certain order? What would happen if that order couldn't be followed? || * Multiplication of fractions and mixed numbers
 * Division of fractions and mixed numbers
 * Multiplications and division of positive and negative numbers
 * Properties of number systems
 * Order of operations
 * Equations || Solve equations