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All lessons
Marty app
CurrentPrevious

Mathematics- Break it up into Pieces

Mathematics- Break it up into Pieces
Estimated time
60 minutes
Products
Marty V2

On this page

  1. Lesson overview
  2. Before you begin
  3. Warm-up
  4. Get learning
  5. Further challenge ideas
  6. Cool down
  7. Additional reading
  8. Curriculum standards

Additional reading

Getting Started with Blocks

Curriculum standards

7
Choose your curriculum to see the relevant standards.

7 of 7 linked standards shown.

Australian CurriculumAustralia1
Curriculum areaLinked standards
Mathematics: Number and Algebra - Fractions and decimals

Select a code to read the full standard.

Mathematics: Number and Algebra - Fractions and decimals

  • ACMNA129Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies
Common CoreUSA1
Curriculum areaLinked standards
Mathematics:

Select a code to read the full standard.

Mathematics:

  • 5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
CSTA Education StandardsUSA1
Curriculum areaLinked standards
General standards

Select a code to read the full standard.

  • 1B-CS-02Model how computer hardware and software work together as a system to accomplish tasks.
Curriculum for ExcellenceScotland1
Curriculum areaLinked standards
Numeracy: Number, Money and Measure

Select a code to read the full standard.

Numeracy: Number, Money and Measure

  • MNU 3-07aFractions, decimal fractions and percentages including ratio and proportion
CUSDUSA1
Curriculum areaLinked standards
General standards

Select a code to read the full standard.

  • 5.NBT.7Add, subtract, multiply, and divide decimals to hundredths.
England's National CurriculumEngland1
Curriculum areaLinked standards
Mathematics KS3: Geometry and measures

Select a code to read the full standard.

Mathematics KS3: Geometry and measures

  • ✔️Pupils should be taught to: derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders)
TEKSUSA1
Curriculum areaLinked standards
Elementary Math: Knowledge and Skills

Select a code to read the full standard.

Elementary Math: Knowledge and Skills

  • 5.3.GStudents should be expected to: solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;

Resources

Learner resources

  • WorkbookFile links loading

Educator resources

  • PresentationFile links loading
  • Teacher GuideFile links loading

Lesson overview

Learners will have a brief recap of division by ten and one hundred. They will then connect whole number division and decimal division, with both dividend and divisor.

Learning objectives

  • I can compare division with and without decimal values.
  • I can estimate a quotient with multi-digit division questions.

Key vocabulary

  • dividend
  • divisor
  • decimal
  • tenth
  • hundredth

Prior learning

Division by 10 and 100, including decimal quotients

Before you begin

Equipment

  • Workbook
  • Whiteboards or scrap paper (not provided with the lesson)

Technical information

Pre-lesson preparation

Have whiteboards ready for individuals or for partners or groups to share. Workbooks should be available electronically or in paper format for groups or individuals. Have the Martys for use charged and ready to act. 

Warm-up

TimingActivityPossible adaptations
Timing—

Warm-up

Share with learners the learning objectives and success criteria for the lesson (slide 2 from the presentation). Present learners a series of quick-fire division questions, initially with whole number answers and then with decimal numbers, initially linking the whole number and decimal questions but later making them more random. These questions are presented on slide 3 of the presentation.

Possible adaptations—

Get learning

TimingActivityPossible adaptations
Timing—

Get learning

After learners have had the chance to revise the connection between whole number and decimal quotients, display how this process works when first the divisor and then the dividend have decimal digits. The examples in the presentation, starting on slide 4, will begin with questions that have whole answer dividends, divisors, and quotients, then the divisor will be one tenth its value. Time will be taken to explore what the change to the dividend means in terms of the question and how that affects the quotient. This will be followed up by looking at changes to the divisor.

After the two transitionary methods, learners will practice their estimation skills to determine if their answer is reasonable or not. This will involve rounding their divisors or dividends to the nearest whole number, or other value of their choice and checking it against the answer they calculate.

Possible adaptations—
Timing—

Time for Practice

Learners will be given practice questions where they will be able to show their work with whichever method they choose. Additionally, Marty will be used as a check to say whether their work checks out as correct or not. There is code in the teachers guide that will command Marty to perform an action to indicate correct and one to indicate incorrect, when learners type in the question and the answer they calculated. You will need to pre-program the code into Marty and have learners run the program with Marty visible on the tablet or device so that values can be entered.

Cool down

TimingActivityPossible adaptations
Timing—

Cooldown

Bring learners back together to discuss the learning. Ask them if there were any division questions they found tricker than others.

Suggested questions you might ask:

  • Are there any methods you preferred – area models, array diagrams, comparisons to whole numbers, estimation?
  • Did you feel that your estimates helped with your answer?
  • Do you feel more confident with division after this work?

Carry out any end of lesson routines.

Possible adaptations—
Possible adaptations

Support

Remind learners of the names for each place and how they relate: hundreds are 10x tens, tens are 10x ones, etc. Do the same in reverse: hundredths are 1/10 tenths, tenths are 1/10 ones, etc. Unifix 10 rods and 1 and 100 cubes can support learners in seeing the comparative value.

Further challenge ideas

Extension

Encourage learners to create related facts for each of the questions in their workbook: the multiplication questions that are related to each of the division questions as well as the additional division question.