Subtraction Using Manipulatives & Algorithms for Whole-Number Subtraction.

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Presentation transcript:

Subtraction Using Manipulatives & Algorithms for Whole-Number Subtraction

Algorithms for Subtraction algorithm – a systematic procedure used to accomplish an operation Standard algorithm R → L; NO emphasis on place value (place value is not explicit in this method)

Video: Subtraction Alternate Algorithms Video Link to Alternate Algorithm explanations. The following 4 slides show each of the different algorithms discussed in the video.

Integer subtraction 312 − 147 −5 − R to L; NO emphasis on place value (place value is not explicit in this method) Must understand how to add integers

Expanded notation MUST interpret this method, so final answer is: 165 R to L; Emphasis on place value (place value IS explicit in this method)

Left to Right 42,437 42, ,928 37,519 37,519 26,509 26,509 One students explanation: 4 – 1 is 3, trouble is coming so the 3 becomes a – 5 = 7, trouble is coming so the 7 becomes a – 9 = 5, trouble is not coming so it stays a 5. 3 – 2 = 1, trouble is coming so the 3 becomes a – 8 = 9.

European Method is given to both numbers. 10 was given to the 4 to make it was given to the 20 to make it 30.

Practice using these each of the four algorithms presented with the problem: 757 – 538 Solutions are on the following slides

Integer Subtraction

Expanded Notation ( )

Left to Right

European Method

base-ten blocks units = centimeter cubes; long = 10 cm x 1 cm x 1cm square prism or 10 units; flat = 10 cm x 10 cm x 1 cm rectangular prism, 10 longs, or 100 units

Video: Subtraction Using Manipulatives Video link

Complete the problems from the handout “Subtraction Using Manipulatives” The following 4 slides have the solutions to those problems

Subtraction Using Manipulatives Draw 1 st number, take away 2 nd number 36

– 11 2 = draw 1 st number, take away 2 nd number 10 2

– = draw 1 st number, take away 2 nd number 22 3

= draw 1 st number, take away 2 nd number 124 5

National Library of Virtual Manipulatives For more practice or for use in your classroom: g_2_t_1.html?from=topic_t_1.htmlhttp://nlvm.usu.edu/en/nav/frames_asid_154_ g_2_t_1.html?from=topic_t_1.html ▫Base Block Addition  Click on Create problem  Change base  Drag blocks from top bar to create your problem  Once created, drag blocks to regroup them so that you will have enough to “take away”