Grade 6 Topic 6 Problem Solving With Fractions

Grade 6: Topic 6 Problem Solving With Fractions & Decimals Key Vocabulary: • Product • Quotient • Reciprocal • Equivalent Form

OBJECTIVE: �Be able to solve real-world problems involving fractions and decimals by choosing and applying the appropriate operation(s) by looking for keywords or drawing a representation of the problem. �Be able to justify your solution using estimation, inverse operations, or reasoning about a number-line or model.

WARM UP Instruction: How many decimal places do we need to move before we can divide? 1) 0. 543 ÷. 015 3) 5380 ÷ 20. 0 2) 12. 5 ÷. 05 4). 0056 ÷. 0007

R E V I E W Dividing Fractions & Decimals �Give back quizzes: �Misconceptions with reciprocal method � All terms must be in fraction or improper fraction form! � “Keep” 1 st number � “Change” division to multiplication � “Flip” only the 2 nd number to its reciprocal. � Multiply normally �Misconceptions with Decimals � Not aligning decimal properly � Not checking solution by using inverse operation

E X P L O R E Solving Word Problems: • Read the problem carefully! • What do you need to determine? • What details are provided? • Can you draw a picture or make a model? • Look for keywords to indicate one or more operations. • Can you estimate the solution? • Make a plan to solve the problem: • Write a math expression • Draw a representation or use materials to construct the solution. (area model, number line, ruler, cubes) • Execute your plan • Justify your solution – Does your answer make sense?

Explain: Brainstorm Keywords: Addition Subtraction Multiplication Division

Formative 1) Mr. Brown has $6000 that he wants to split among his 7 children. How much money would each child get? Round your answer to the nearest cent. What operation? _________ Write the math expression: ____________

Formative 2) Mary ran 15. 3 kilometers on Tuesday and 18. 9 kilometers on Friday. How much farther did she run on Friday than Tuesday? What operation? _________ Write the math expression: ____________

Formative 3) Jamie is making toy cars out of wood. Each car will be 4 ½ inches long. Jamie has a board that is 48 inches long. How many complete cars can be cut from the board? What operation? _________ Write the math expression: ____________

P R A C T I C E �Quiz Retakes – after reviewing mistakes (small groups – clarification & retake quiz) All Work to be completed in NOTEBOOK or on worksheet(s). �Agile Mind Topic 6 PRACTICE �Worksheet: Problem Solving with Rectangles & Triangles �Agile Mind Topic 6 CHALLENGE Practice – next level for enrichment