Adding Integers with Counters: Student Activity Lesson Plan

Transcription

1 : Student Activity Lesson Plan Subject/Strand/Topic: Math Number Sense and Numeration Grade(s) / Course(s): 7 Ontario Expectations: 7m14 Key Concepts: adding integers using coloured counters Link: learning object - lesson plan resource (optional) - lesson plan script resource (optional) Required Materials: Pre-Assessment/Answer Key, Student Activity Handout, Student Activity Answer Key, Post- Assessment/Answer Key, pencils, calculators Before Starting: book computer lab so there are enough computers per pair of students Introduction (~ 10 minutes including pre-assessment) 1. Introduce topic (adding integers with counters) 2. Distribute pre-assessment; allow 5-7 min. for students to complete 3. Introduce activity to students (learning how to add integers with counters) Student Activity Handout Explanation (~ 5 minutes) 1. Distribute handout for each student to complete 2. Briefly go over the structure of the handout (Parts A & B) each student will need to bring a pencil to computer lab 3. Students should have min. to complete the handout as they go through learning object Use of Learning Object with Student Activity Handout (~ minutes) 1. Students will work in pairs, each pair at one computer 2. Instruct students to open internet browser and type in the link at the top of their handout in the address bar; scroll down the page and click on Add_Integers.gsp 3. Before starting the activity, allow students 1-2 min. to explore the learning object 4. Make sure the Select tool is ALWAYS selected in order to use the sketchpad 5. Students should spend about 15 min. on Part A and min. on Part B to complete their handout 6. Have one student on the computer and the other instructing (switch roles halfway through) 7. Circulate around the computer lab; remind students of time constraints and encourage them to finish 8. NOTE: inform students that they proceed to the next activity by clicking on the tabs at the bottom of the.gsp window. They can also click on 1 to return to the list of activities (main menu) in non-tabular form Consolidation (~ 10 minutes including post-assessment) 1. Ask students the following questions at the end of the activity with the learning object: a. How do you represent zero using coloured counters? (one positive counter (red) and one negative counter (blue)) b. Does the order matter when adding integers? (no) 2. Distribute post-assessment; allow 5-7 min. for students to complete 3. Take up answers from handout Teacher-Created Resources: Student Activity Lesson Plan Page 1 of 1

2 Student Activity Pre-Assessment Birthday: 6 a) 7 + (- 3) b) (- 9) + (- 6) c) (- 3) + 7 d) 6 + (- 12) 2. Doug is $4 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays Adding Integers with Counters Student Activity Pre-Assessment Birthday: 6 a) 7 + (- 3) b) (- 9) + (- 6) c) (- 3) + 7 d) 6 + (- 12) 2. Doug is $4 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays Teacher-Created Resources: Student Activity Pre-Assessment

3 Student Activity Pre-Assessment Answer Key Birthday: 6 a) 7 + (- 3) b) (- 9) + (- 6) c) (- 3) + 7 d) 6 + (- 12) = 4 = -15 = 4 = Doug is $4 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays (-4) + 8 = 4 Doug will have $4. Teacher-Created Resources: Student Activity Pre-Assessment

4 Student Activity Handout Date: 30 Link: Instructions: Complete the following handout using the learning object titled Adding Integers with Counters. Complete Parts A and B and answer all questions. Part A The Zero Principle Click on The Zero Principle on the main menu page Explore the zero principle with your partner Answer the following questions 1. The temperature was -6 C on Friday. On Monday, the temperature rose 6 degrees. Use the zero principle and positive and negative counters to show the change in temperature. (3 marks) 2. What other real-life examples explore the zero principle, as well as negative and positive integers? (2 marks) Activity Adding Integers Click on the 3 tab at the bottom of the screen Practice adding integers using the zero tool by answering 5 questions on the screen with your partner Once you ve practiced, answer the questions below 1. Solve each of the following addition problems by drawing coloured counters. Use the zero principle to simplify and arrive at your answer. (8 marks) a) = b) 3 + (-1) = Teacher-Created Resources: Student Activity Handout Page 1 of 3

5 Student Activity Handout Date: c) 4 + (- 5) = d) (- 4) + 8 = Activity Integer Explorer Click on the 4 tab at the bottom of the screen Practice adding integers using coloured counters by dragging the counters into the work space using the questions below Press Reset Positive Counters and Reset Negative Counters to start a new question 1. Create the following equations by dragging the correct amount of positive and negative integers into the workspace using the Integer Explorer tool. Record your answers in the spaces provided. (5 marks) (- 6) 3. (- 5) + (-3) 4. (- 3) (- 4) Activity Missing Addends Click on the 5 tab at the bottom of the screen Take turns with your partner to see who can get the most questions correct out of 5 questions each Follow the instructions on the screen to find the missing integers Press Reset Positive Counters and Reset Negative Counters when finished each question Press New Question to start a new question Fill in the required information below. Record your questions in each column of the table below. Underline the integer that was missing from the original question to show the answer. (5 marks) Names Q1 Q2 Q3 Q4 Q5 Score (out of 5) WINNER S NAME: Teacher-Created Resources: Student Activity Handout Page 2 of 3

6 Student Activity Handout Date: Part B Answer the following questions. 1. If two integers are positive, what do you notice about the sum? Show an example. (1 mark) 2. If two integers are negative, what do you notice about their sum? Show an example. (1 mark) 3. Create an addition problem with a sum of zero. (1 mark) 4. Doug is $6 in debt. Jenny owes him $10 from a previous loan. How much money will Doug have once Jenny pays 5. Sam made a toy boat that floats 2 inches below the water s surface. He placed a miniature canon on the boat, which caused it to sink an additional 4 inches. If the surface of the water represents zero and above the surface is positive, how deep is the toy boat floating relative to the surface of the water? (2 marks) Teacher-Created Resources: Student Activity Handout Page 3 of 3

7 Student Activity Handout Answer Key Name: Answer Key for Teacher 30 Link: Instructions: Complete the following handout using the learning object titled Adding Integers with Counters. Complete Parts A, B and C and answer all questions. Part A The Zero Principle Click on The Zero Principle on the main menu page Explore the zero principle with your partner Answer the following questions 1. The temperature was -6 C on Friday. On Monday, the temperature rose 6 degrees. Use the zero principle and positive and negative counters to show the change in temperature. (3 marks) = negative = 0 = positive 2. What other real-life examples explore the zero principle, as well as negative and positive integers? (2 marks) - starting with a debt of -$10 and earning $10 more - filling a hole with the right amount of dirt so the ground is level Activity Adding Integers Click on the 3 tab at the bottom of the screen Practice adding integers using the zero tool by answering 5 questions on the screen with your partner Once you ve practiced, answer the questions below 1. Solve each of the following addition problems by drawing coloured counters. Use the zero principle to simplify and arrive at your answer. (8 marks) 1 mark for showing counters, one mark for answer a) = 7 b) 3 + (-1) = 2 Teacher-Created Resources: Student Activity Handout Answer Key Page 1 of 3

8 Student Activity Handout Answer Key Name: Answer Key for Teacher c) 4 + (- 5) = -1 d) (- 4) + 8 = 4 Activity Integer Explorer Click on the 4 tab at the bottom of the screen Practice adding integers using coloured counters by dragging the counters into the work space using the questions below Press Reset Positive Counters and Reset Negative Counters to start a new question 1. Create the following equations by dragging the correct amount of positive and negative integers into the workspace using the Integer Explorer tool. Record your answers in the spaces provided. (5 marks) (- 6) 3. (- 5) + (- 3) 4. (- 3) (- 4) = 11 = -1 = -8 = 5 = 7 Activity Missing Addends Click on the 5 tab at the bottom of the screen Take turns with your partner to see who can get the most questions correct out of 5 questions each Follow the instructions on the screen to find the missing integers Press Reset Positive Counters and Reset Negative Counters when finished each question Press New Question to start a new question Fill in the required information below. Record your questions in each column of the table below. Underline the integer that was missing from the original question to show the answer. (5 marks) - sample Names Q1 Q2 Q3 Q4 Q5 Score (out of 5) John = 6 (-3) + 2 = -1 (-2) + (-3) = (-9) = (-7) = -3 4 Jane = 13 (-4) + (-5) = (-3) = (-3) = 6 (-6) + 4 = -2 5 WINNER S NAME: Jane Teacher-Created Resources: Student Activity Handout Answer Key Page 2 of 3

9 Student Activity Handout Answer Key Name: Answer Key for Teacher Part B Answer the following questions. 1. If two integers are positive, what do you notice about the sum? Show an example. (1 mark) The sum is always positive. E.g = If two integers are negative, what do you notice about their sum? Show an example. (1 mark) The sum is always negative. E.g. (-3) + (-2) = Create an addition problem with a sum of zero. (1 mark) (-5) + 5 = 0 4. Doug is $6 in debt. Jenny owes him $10 from a previous loan. How much money will Doug have once Jenny pays (-6) + 10 = 4 Doug will have $4. 5. Sam made a toy boat that floats 2 inches below the water s surface. He placed a miniature canon on the boat, which caused it to sink an additional 4 inches. If the surface of the water represents zero and above the surface is positive, how deep is the toy boat floating relative to the surface of the water? (2 marks) (-2) + (-4) = -6 The boat will be 6 inches deep. Teacher-Created Resources: Student Activity Handout Answer Key Page 3 of 3

10 Student Activity Post-Assessment Birthday: 6 a) 5 + (- 3) b) (- 8) + (- 6) c) (- 3) + 1 d) 6 + (- 10) 2. Doug is $12 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays Adding Integers with Counters Student Activity Pre-Assessment Birthday: 6 a) 5 + (- 3) b) (- 8) + (- 6) c) (- 3) + 1 d) 6 + (- 10) 2. Doug is $12 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays Teacher-Created Resources: Student Activity Post-Assessment

11 Student Activity Post-Assessment Answer Key Birthday: 6 a) 5 + (- 3) b) (- 8) + (- 6) c) (- 3) + 1 d) 6 + (- 10) = 2 = -14 = -2 = Doug is $12 in debt. Jenny owes him $8 from a previous loan. How much money will Doug have once Jenny pays (-12) + 8 = -4 Doug will be in debt $4. Teacher-Created Resources: Student Activity Post-Assessment