Number lines help to understand numbers

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Presentation transcript:

Number lines help to understand numbers Level 2 Module 4 Using Number Lines With Numbers to 1000

© Professor Pete's Classroom. All rights reserved. Index Think Bubble Mathematics: Level 2 Module 4 © Professor Pete's Classroom. All rights reserved.

Think Bubble Math: Level 2 Overview Module 1: 240420_TBM201_Tens_Ones _regrouping.pptx Module 2: 240503_TBM202_Hundreds _introduced.pptx Module 3: 243501_TBM203_Doubling _halving_to_20.pptx Module 4: 240515_TBM204_Hundreds _on_NL.pptx Module 5: 242720_TBM205_Bridging _10_open_NL.pptx © Professor Pete's Classroom. All rights reserved.

Think Bubble Math Worksheets: Many lessons are supported by corresponding worksheets Purchasers: Included in zip file for download Members: Access via profpete.com in TBM section Some lessons recommend that students use hands-on materials 243504_TBM102_WS_Counting_on_back_1_2_3 © Professor Pete's Classroom. All rights reserved.

Navigating in Think Bubble Math on a Computer Return to Index Go to other slide: Right-click screen, click “See All Slides” Navigate forward & back: click right & left arrows Start presentation: Double-click file name or icon © Professor Pete's Classroom. All rights reserved.

Using Think Bubble Math on a Tablet or Phone Download free PowerPoint app in iTunes or Google Play: iPhone or iPad: Android: Save Think Bubble file to your device You may find it helps to install Microsoft OneDrive, to save and find files If you see a warning about “unsupported content”, you can safely ignore it We include special fonts to improve the presentation’s appearance © Professor Pete's Classroom. All rights reserved.

Navigating in Think Bubble Math on a Tablet or Phone Start presentation: click “play” button in top bar Navigate to other slide: rotate device to portrait, click slide thumbnail at bottom of screen Navigate forward & back: swipe left & right © Professor Pete's Classroom. All rights reserved.

Hundreds on a Number Line ACMNA026 Investigate number sequences… ACMNA027 Recognise, model, represent and order numbers to at least 1000 (c) Professor Pete's Classroom, 2017. All rights reserved.

Assumed Prior Knowledge Students should already: have had lots of practice grouping and ungrouping base ten resources such as Unifix cubes and bundling sticks have counted with base ten materials, grouping and ungrouping ten as they go be able to read and write numbers to 99 based on the materials they see be familiar with number lines, including of varying scales such as counting by 1, 2, 5 and 10 (c) Professor Pete's Classroom, 2017. All rights reserved.

Locating Numbers on a Number Line 18 When locating numbers on number lines it is important to note the scale of the line. Lesson 1 has a scale of numbers to 100 within a decade Lesson 2 has a scale from 0-100 Lesson 3 has a scale from 0-1000 Lesson 4 has a mixture of scales 90 320 (c) Professor Pete's Classroom, 2017. All rights reserved.

Locating Numbers on a Number Line Students can draw their own blank number lines Or a sheet can be printed off with the blank number lines Students will need to write the two numbers on the lines. This helps them establish the scale. Teacher discretion is needed for some exercises as complete accuracy is not expected. A close approximation is all that can be achieved. 92 100 (c) Professor Pete's Classroom, 2017. All rights reserved.

Accompanying worksheets for Printing Lesson 1 Duplicate one per student (optional) Students can draw their own blank number lines Lesson 2, 3, 4 Duplicate one per student as required (optional) Students can draw their own blank number lines Both worksheets are in this file 240516_TBM204_blank_number_lines (c) Professor Pete's Classroom, 2017. All rights reserved.

Supporting Resources: Resources at profpete.com Gadgets Interactive Software Blank Open Number Lines (accompanying worksheet - optional) Teaching Strategies Hundreds, Tens & Ones Place Value Introduction Lesson 1: Introducing Hundreds with Bundling Sticks Lesson 2: Expanding Hundreds, Tens, Ones with Bundling Sticks Lesson 3: Expanding Hundreds, Tens and Ones with Base Ten Blocks Lesson 4: 1 Hundred is 10 Tens, 100 Ones Bundling Sticks Lesson 5: 482 is 48 tens 2 ones; 482 ones Bundling Sticks Lesson 6: 1 Hundred is 10 Tens, 100 Ones Base Ten Blocks Lesson 7: 371 is 37 tens 1 ones; 371 ones Base Ten Blocks Hundreds, Tens & Ones Place Value: Manipulatives Templates Hundreds, Tens & Ones Place Value: Bundling Sticks Hundreds, Tens & Ones Place Value: Base Ten Blocks Hundreds, Tens & Ones Place Value: Objects FREE Hundreds, Tens & Ones Place Value: Abacus Hundreds, Tens & Ones Place Value: Chart Template: Teacher Set of Base Ten Blocks Hundreds Place Expanded [PowerPoint TBM202] Scrolling Hundred Board Number Expander Gadget: (c) Professor Pete's Classroom, 2017. All rights reserved.

Lesson 1: Locating a number between two tens ACMNA026 Investigate number sequences... ACMNA027 Recognise, model, represent and order numbers to at least 1000 optional (c) Professor Pete's Classroom, 2017. All rights reserved.

Number Located Within its Decade Have student draw several blank number lines on their page with the two markers They will need 8 number lines for lesson one There is a number line worksheet for you to duplicate if you prefer As you progress through the slides they will need to write the two numbers that show the decade between which the number will lie Draw this number line on your page, placing two markers on it.

Number Located Within its Decade Have students write the numbers shown underneath their first number line Ask students to place a mark on a number line where this number is located Have a student come to the board and mark or point to the position, and explain their choice Discuss the position chosen Click to reveal a more detailed number line Click to remove detailed number lines to reveal its position in relation to the tens either side of it Where is this number located on the number line? Number lines show numbers in their order 55 55

Number Located Within its Decade Ask students to place a mark on the next number line where the number is located Have a student come to the board and mark or point to the position, and explain their choice Where is this number located on the number line? 32 32

Number Located Within its Decade Where is this number located on the number line? 12 12

Number Located Within its Decade Where is this number located on the number line? 69 69

Number Located Within its Decade Where is this number located on the number line? 91 91

Numbers to 100 Ask students to guess which arrow best matches the given number Click to reveal a more detailed number line Discuss why certain answers cannot be right Click to reveal the answer Which of these arrows best marks the position for this number? 45 A B C D

Numbers to 100 Ask students to guess which arrow best matches the given number Click to reveal a more detailed number line Discuss Which of these arrows best marks the position for this number? 99 A B C D

Numbers to 100 Ask students to write a number that is close to the point indicated by the arrow Click to reveal a more detailed number line Be a little flexible with marking their answers and allow students to adjust their thinking and accuracy Write a number that is close to the point indicated by the arrow 58

Numbers to 100 Write a number that is close to the point indicated by the arrow 19

Numbers to 100 Write a number that is close to the point indicated by the arrow 86

Lesson 2: Locating a number on a number line to 100 ACMNA026 Investigate number sequences... ACMNA027 Recognise, model, represent and order numbers to at least 1000 optional (c) Professor Pete's Classroom, 2017. All rights reserved.

Number Located up to 100 Have student draw several blank number lines on their page with the two markers They will need 8 number lines for lesson two There is a number line worksheet for you to duplicate if you prefer As you progress through the slides they will need to write the two numbers that show the 0 and 100 marks between which the number will lie Draw this number line on your page, placing two markers on it.

All the numbers 0 to 100 are found on this number line Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Discuss position chosen (use teacher discretion for accuracy expected) Click arrow to reveal a more detailed number line Discuss the number’s position in relation to 50, the halfway point Click to remove detailed number lines to reveal its position in relation to numbers 0 to 100 Where is this number located on the number line? All the numbers 0 to 100 are found on this number line 46 46

61 61 Numbers to 100 Where is this number located on the number line? Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Where is this number located on the number line? 61 61

Numbers to 100 Where is this number located on the number line? 15 15

Numbers to 100 Where is this number located on the number line? 73 73

Numbers to 100 Where is this number located on the number line? 89 89

Numbers to 100 Where is this number located on the number line? 11 11

Numbers to 100 Where is this number located on the number line? 2 2

Numbers to 100 Where is this number located on the number line? 98 98

Numbers to 100 Ask students to guess which arrow best matches the given number Click to reveal a more detailed number line Discuss why certain answers cannot be right Click to reveal answer Which of these arrows best marks the position for this number? 21 A B C D

Numbers to 100 Which of these arrows best marks the position for this number? 59 A B C D

Numbers to 100 Which of these arrows best marks the position for this number? 11 A B C D

Numbers to 100 Ask students to write which one of the numbers is closest to the point indicated by the arrow Click to reveal a more detailed number line Discuss answers written by students, why some can’t be right Select the number that you think is closest to the position of the arrow A B C D 8 18 25 12

Numbers to 100 Select the number that you think is closest to the position of the arrow A B C D 29 19 99 9

Numbers to 100 Select the number that you think is closest to the position of the arrow A B C D 15 48 52 25

Numbers to 100 Select the number that you think is closest to the position of the arrow A B C D 29 82 92 98

Lesson 3: Locating numbers on a number line to 1000 ACMNA026 Investigate number sequences... ACMNA027 Recognise, model, represent and order numbers to at least 1000 optional (c) Professor Pete's Classroom, 2017. All rights reserved.

Number Located up to 1000 Have student draw several blank number lines on their page with the two markers They will need 8 number lines for lesson three There is a number line worksheet for you to duplicate if you prefer As you progress through the slides they will need to write the two numbers that show the 0 and 1000 marks between which the number will lie Draw this number line on your page, placing two markers on it.

All the numbers 0 to 1000 are found on this number line Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Discuss position chosen (be flexible in accuracy expected) Click arrow to reveal a more detailed number line if needed Click to remove detailed number lines to reveal its position in relation to numbers either side of it Where is this number located on the number line? All the numbers 0 to 1000 are found on this number line 510 510

Numbers to 1000 Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Discuss Where is this number located on the number line? 699 699

Numbers to 1000 Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Discuss Where is this number located on the number line? 805 805

Numbers to 1000 Where is this number located on the number line? 375 375

Numbers to 1000 Where is this number located on the number line? 109 109

Numbers to 1000 Where is this number located on the number line? 50 50

Numbers to 1000 Where is this number located on the number line? 990 990

Numbers to 1000 Where is this number located on the number line? 9 9

Numbers to 1000 Ask students to write which one of the numbers is closest to the point indicated by the arrow Click to reveal a more detailed number line Discuss answers written by students, why some can’t be right Which of these arrows best marks the position for this number? 619 A B C D

Numbers to 1000 Which of these arrows best marks the position for this number? 691 A B C D

Numbers to 1000 Which of these arrows best marks the position for this number? 190 A B C D

Numbers to 1000 Which of these arrows best marks the position for this number? 479 A B C D

Numbers to 100 Ask students to write which of these numbers is approximately in the position of the arrow Click arrow to reveal a more detailed number line Discuss answers written by students, why some are better than others and some can’t be right Which of these numbers is closest to the position on the number line? A B C D 709 907 599 800

Numbers to 100 Which of these numbers is closest to the position on the number line? A B C D 690 609 906 960

Numbers to 100 Which of these numbers is closest to the position on the number line? A B C D 309 390 430 490

Lesson 4: Locating numbers on a number line – check the scale ACMNA026 Investigate number sequences... ACMNA027 Recognise, model, represent and order numbers to at least 1000 optional (c) Professor Pete's Classroom, 2017. All rights reserved.

Numbers Located on Number Lines Have student draw several blank number lines on their page with the two markers They will need 8 number lines for lesson four There is a number line worksheet for you to duplicate if you prefer As you progress through the slides they will need to write the two numbers that show the 0 and 1000 marks between which the number will lie Draw this number line on your page, placing two markers on it.

Note the start and end numbers before beginning Locate Number Have students write the two numbers on the ends of the number Note the scale on the number line Ask students to place a mark on a number line that is where they think the number is located Have a student come to the board and mark or point to where they think it is located Where is this number located on the number line? Note the start and end numbers before beginning 21 21

Locate Number Where is this number located on the number line? Note the scale on the line 8 8

Locate Number Where is this number located on the number line? Note the scale on the line 8 8

Locate Number Where is this number located on the number line? 599 599

Locate Number Where is this number located on the number line? 808 808

Locate Number Where is this number located on the number line? 375 375

Locate Number Where is this number located on the number line? Note the scale on the line 95 95

Locate Number Where is this number located on the number line? 5 5

Locate Number Ask students to guess which arrow best matches the given number Click to reveal a more detailed number line Discuss why certain answers cannot be right Which of these arrows best marks the position for this number? 52 A B C D

Locate Number Ask students to write a number that is approximately in this position Answers may vary and teacher discretion is advised in marking students responses Click arrow to reveal a more detailed number line Discuss Which of these numbers is closest to the position of the arrow on the number line? A B C D 709 797 598 900

Locate Number Ask students to write which one of the numbers is closest to the point indicated by the arrow Click to reveal a more detailed number line Discuss Select the number that you think is closest to the position of the arrow A B C D 8 18 25 12

Locate Number Ask students to write which one of the numbers is closest to the point indicated by the arrow Click to reveal a more detailed number line Discuss Which of these arrows best marks the position for this number? 90 A B C D

Locate Number Ask students to write which one of the numbers is closest to the point indicated by the arrow Click to reveal a more detailed number line Discuss Which of these arrows best marks the position for this number? 585 A B C D