6th Grade Math A Syllabus Course Description: Students begin the first semester of this course with a review of basic addition, subtraction, multiplication and division of whole numbers. More complex concepts are built on these basics. Students learn how to add, subtract multiply and divide integers, decimals and fractions. The course also includes lessons on ratios and proportions. Module Lesson Title Whole Numbers Reading and Writing Whole Numbers Objectives 1. Identify whole numbers. 2. Give the place value of a digit. 3. Write a number in words or digits. 1. Add two whole numbers when carrying is necessary Adding Whole Numbers 1. Subtract whole numbers when borrowing is necessary. Subtracting Whole Numbers 1. Multiply numbers having more than one digit. Multiplying Whole Numbers Long Division Longer Division Problems 1. Divide whole numbers using long division 1. Divide whole numbers using long division with divisors greater than one‐digit 1. Divide whole numbers using long division with remainders Division with Remainders 1. Locate the place to which a number is to be rounded. 2. Round numbers. 3. Round numbers to estimate an answer. Rounding Whole Numbers 1. Use long division to divide whole numbers by multiples of 10 Dividing by Multiples of 10 Creating Fractions From Remainders Solving Word Problems Using Division 1. Complete long division problems to create a fraction out of the remainder 1. Solve word problems using long division Module Integers 6th Grade Math A Syllabus Lesson Title Objectives 1. Define negative numbers based on their location on the number line. Negative Numbers Directions and the Number Line 1. Add and subtract integers using a number line 1.
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Adding and Subtracting Signed Numbers Add signed numbers using a number line. Add signed numbers without using a number line. Find the additive inverse of a number. Subtract signed numbers. Multiplying and Dividing Signed Numbers 1. Multiply or divide two numbers with opposite signs. 2. Multiply or divide two numbers with the same sign. 1. Compare decimals using place value Adding & Subtracting Decimals Comparing Decimals 1. Add decimals to the hundredths. Adding Decimals 1. Subtracting decimals to the hundredths. Subtracting Decimals Subtracting From the Tenths Place 1. Subtract decimals with place values of hundredths and thousandths from decimals with place values of tenths 1. Subtract whole numbers and decimals Subtracting Decimals and Whole Numbers 1. Multiply decimals by counting decimal places Multiplying & Dividing Decimals Multiplying Decimals Module 6th Grade Math A Syllabus Lesson Title Multiplying Decimals and Whole Numbers Objectives 1. Multiply decimals and whole numbers by counting decimals places 1. Divide a decimal by a whole number Dividing Decimals by Whole Numbers Dividing Decimals with Remainders 1. Divide a whole number into a dividend less than one with a remainder. 1. Divide decimals by decimals by moving the decimal points Dividing Decimals by Decimals 1. Divide whole numbers by decimals by converting the whole number into a decimal Dividing Whole Numbers by Decimals Converting Decimals to Percents Adding & Subtracting Fractions Write Equivalent Fractions Common Denominators 1. Convert decimals to percents 1. Write equivalent fractions. 1. Find a common denominator using products. 1. Find the GCF. Greatest Common Factors Lowest Common Denominator 1. Use the LCM to write equivalent fractions. Adding and Subtracting with Like Denominators 1. Add and subtract fractions with like denominators. Module 6th Grade Math A Syllabus Lesson Title Objectives Adding Mixed Numbers with Like Denominators Adding and Subtracting with Unlike Denominators Adding Mixed Numbers with Unlike Denominators 1. Add and subtract mixed numbers with like denominators. 1. Add and subtract fractions with unlike denominators. 2. Reduce fractions to simplest terms. 1. Add and subtract mixed numbers with unlike denominators. 2. Reduce fractions to simplest terms. 1. Subtract mixed numbers with like and unlike denominators. 2. Solve real‐world problems with fractions. Subtracting Mixed Numbers Multiplying & Dividing Fractions Multiplying Fractions Dividing Fractions 1. Multiply fractions. 2. Multiply a fraction and a whole number. 1. Find the reciprocal of a fraction 2. Divide fractions using reciprocals Multiplying and Dividing Mixed Numbers 1. Multiply a fraction and a mixed number 2. Multiply two mixed numbers 1. Write ratios 2. Solve ratio problems. Ratios 1. Write proportions. 2. Determine whether proportions are true or false. 3. Find cross products. Proportions