UNIT MAP AY 2021 - 2022 Subject : Unit Title: Prepare d by: Math Grade: 6 Number System and Operations, Ratio and Rate Reasoning Ms. Sana Amir Term: 1 Stage 1: Desired Results Transfer AIAS learners will be able to independently use their learning to: explore the development of the concept of negative numbers. They use rods of different colours and a number line to represent positive and negative quantities. They solve problems related to fraction division and operations with decimals. By applying the following skills: Use positive and negative numbers to represent quantities in real-world contexts. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the Making-Meaning Enduring Understanding Essential Questions Students will understand that Students will keep considering There are many ways to represent a number. How does estimation make computation more The problem in front of you is a member of accurate? a larger class of problems. What are some situations Number sense develops through experience. in everyday life where Operations create relationships between we use estimation? numbers. What do the The relationships among the operations and commutative and their properties promote computational associative properties tell fluency. you about addition and In certain situations, an estimate is as useful multiplication? as an exact answer. What are some situations in everyday life where you use negative as well as positive numbers? problem. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. Week (Dates) 1 Essential For All Students will know . . . Identification and interpretation of integers. Differentiated Acquisitions Enhancement For Some C/P/O Content: 1. Students will describe situations in which opposite quantities combine to make 0. 2. High order thinking questions and realworld questions will be provided. How can you represent real-life situations with positive and negative integers? 3. Extra Classwork/Math Journal will be given related to each topic. e.g., Critique Reasoning Page 11 Q 2 4. Challenging tasks will be given related to the interpreting the integers. e.g., Page 10 Q 4 Reinforcement For Some C/P/O Content: 1. Recall prior knowledge about the integers. 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. e.g., What integer would you use to show a temperature of 5º below zero? 3. Solve one Learning Path in the Exact Path account about the number line Process: Process: 1. Solve extra skills in the Learning Path in the 1. Different ways to Exact Path account for describe situations in implement differentiation which opposite quantities. activities related their 2. Provide students with different activities needs. using different tools such as Nearpod, e.g., Draw a number line Worksheet . showing temperature. 2. Solve extra skills in the Product: Learning Path in the Design an anchor chart for Integer Concept. Exact Path account for 1. Provide students with different activities using different tools such as Quizizz, Nearpod Product: Students will draw a number line for the given integers. 2 Comparing and Ordering integers on a number line. Content: 1. Students will solve real-world and mathematical problems involving the four operations with rational numbers. 2. High order thinking questions and realworld questions will be provided. e.g., Page 19 Q 2 3. Extra Classwork/Math Journal will be given related to each topic. e.g., Page 17 Q 7 4. Challenging tasks will be given related to the interpreting the integers. Content: 1. Recall prior knowledge of comparing numbers. 2. Solve one Learning Path in the Exact Path account about the number line Process: 1. Different ways to implement differentiation activities related their needs. e.g., 2. Provide students with different activities using Process: different tools such as 1. Solve extra skills in the Learning Path in the Quizizz, Nearpod Exact Path account for operations with Product: rational numbers. Students will draw a 2. Provide students with different activities thermometer and label it using different tools such as Worksheet. with integers. 3 Application of absolute value in real-world situations. Product: Find the temperature of different countries, compare them, and create a number line showing the difference between their temperatures. Content: Content: 1. Students will apply and extend previous 1. Suitable tasks will be understandings of operations with fractions given to increase the to add, subtract, multiply, and divide participation in the rational numbers classwork/Math Journal. 2. High order thinking questions and reale.g. Write an inequality world questions will be provided. to compare the decimals: e.g., Will a negative number always have a 0.149 and 0.128. positive absolute value? Explain 2. Solve one Learning Path 3. Extra Classwork/Math Journal will be given in the Exact Path account related to each topic. about the number line e.g., Page 24 Q 3 3. Solve one Learning Path 4. Challenging tasks will be given related to in the Exact Path account the interpreting the integers. about the absolute e.g., Page 24 Q 4 values. Process: 1. Solve extra skills in the Learning Path in the Process: Exact Path account for operations with 1. Different ways to rational numbers. implement differentiation 2. Provide students with different activities activities related their using different tools such as needs. Product: Search the supercooling point (lowest Find each absolute value. temperature) of any five insects at which they can survive. Draw the table and graph the temperature on a number line Product: A money removed from a bank account is listed 4 Interpretation of rational numbers on vertical and horizontal number line Content: 1. Students will add and subtract rational numbers also students will multiply and divide rational numbers. 2. High order thinking questions and real-world questions will be provided., Page 34 Q 10 3. Challenging tasks will be given related to the interpreting the integers e.g., Page 35 Q 4 Process: 1. Solve extra skills in the Learning Path in the Exact Path account for multiply and divide rational numbers. 2. Provide students with different activities using different tools such as Worksheet, Nearpod Product: Design a chart of “Number system” and present to the class. on a bank statement as negative number, which represent a greater withdrawal -$45 or -$50? Content: 1. Students understood that positive and negative numbers are used together to describe quantities having opposite directions or values. 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. Write an inequality compare the numbers 11 and -9. 3. Solve one Learning Path in the Exact Path account about the number line Process: 1. Different ways to implement differentiation activities related their needs. 5 Exploration of division of fractions with the same denominators with and without models. Content: 1. High order thinking questions and realworld questions will be provided. 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks will be given related to the interpreting the integers Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools such as Quizzes Product: Students will draw a number line for the given integers. Content: 1. Recall prior knowledge about fractions division. 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. 1. Solve one Learning Path in the Exact Path account about the number line Process: 4. Different ways to implement differentiation activities related their needs. 5. Provide students with different activities using different tools such as Quizizz, Nearpod Product: Divide the fractions by dividing the numerator. 2. Provide students with different activities using different tools such as Nearpod, Worksheet Product: Explore the fraction division with the Area. 6 Exploration of division of two fractions with unlike denominators using several methods. Content: 1. High order thinking questions and realworld questions will be provided. 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks will be given related to the interpreting the integers Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools such as Product: Anchor chart for fraction division. Content: 1. Recall prior knowledge about the fractions. Find the reciprocal. 12 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. Two numbers are reciprocals of each other, if multiply their product is 1. 3. Solve one Learning Path in the Exact Path account about the number line Process: 1. Different ways to implement differentiation activities related their needs. 2. Provide students with different activities using different tools such as Quizizz, Nearpod Product: 7 The identification of quotient of a mixed number or a fraction and a mixed number, fraction, or whole number. Content: 1. High order thinking questions and realworld questions will be provided. How could you find the quotient without the use of a model? 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks will be given related to the interpreting the integers. Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools Product: Solve real world problems. Pg. 73Q11,12 8 Addition, subtraction, and division multi digit decimals to the thousandths with or without a model and multiplying multi-digit decimals up to thousandths. Content: 1. High order thinking questions and realworld questions will be provided. Divide the fraction by multiplying by the reciprocal of the divisor. Content: 1. Recall prior knowledge of mixed numbers 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. 3. Solve one Learning Path in the Exact Path account about the number line Process: 1. Different ways to implement differentiation activities related their needs. 2. Provide students with different activities using different tools such as Quizizz, Nearpod Product: Multiply simple fractions. Content: 1. Suitable tasks will be given to increase the participation in the classwork/Math Journal. 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks: Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools such as Product: Complete the mystery divisor by dividing the number given in the middle of circle. 9 Writing and representing the ratio in three different ways given a diagram or a description Content: 1. High order thinking questions and realworld questions will be provided. What is the difference between a partto-part ratio and a part-to-whole ratio in this problem? Lois wants to make 20 batches, and she uses 5 cups of sour cream and 20 cups of milk. Evaluate her work. 2. Solve one Learning Path in the Exact Path account about the number line. Process: 1. Different ways to implement differentiation activities related their needs. 2. Provide students with different activities using different tools such as Quizizz, Nearpod Product: Students will solve simple questions for division. Content: 1. Suitable tasks will be given to increase the participation in the classwork/Math Journal. What does a ratio of 2 orange kittens to 4 black kittens mean? 2. Solve one Learning Path in the Exact Path account about the number line 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks will be given related to part to part and part to whole ratios. Process: 1. Different ways to implement differentiation activities related their needs. 2. Provide students with different activities using different tools such as Quizizz, Nearpod Product: Students will draw a spider web to show examples. Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools such as Worksheet Product: Visit the supermarket to explore the use of rates and ratios in real life and present to the class in form of ppt. 10 Comparison and use of ratio reasoning with circle graphs of ratio and rates Content: 1. High order thinking questions and realworld questions will be provided. How could you use the ratio to predict how much frozen concentrate will be needed if you use 32 cups of water? Content: 1. Recall the prior knowledge of equivalent fractions. Find two equivalent fractions, one by 2. Extra Classwork/Math Journal will be given related to each topic. 3. Challenging tasks will be given related to comparing ratios and rates. Process: 1. Solve more Learning Path in the Exact Path account. 2. Provide students with different activities using different tools such as Nearpod Product: Solve the word problems on an A4 size paper. multiplying and one by dividing. 2. Suitable tasks will be given to increase the participation in the classwork/Math Journal. Complete each given patterns and describe who are the patterns related. 3. Solve one Learning Path in the Exact Path account about the number line Process: 1. Different ways to implement differentiation activities related their needs. 2. Provide students with different activities using different tools such as Worksheet Product: Define Ratio and Rate along with examples. Create an anchor-chart of “Apply Ratios and Rates to Measurement” On-Going Assessment Strategies 1- Weekly Learning Check. 2- Nearpod activities. 3- Exit ticket. 4- Classwork/Math Journal. Stage 2: Assessment Evidence Summative Strategies 1- Mastery Test. 2- Performance Task.