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Multiply and divide decimals by powers of 10 (ACMNA130)

 

Fly By Maths (Level 3)

 

  • recognise the number patterns formed when decimals are multiplied and divided by

10, 100 and 1000

 

  • multiply and divide decimals by 10, 100 and 1000

    * use a calculator to explore the effect of multiplying and dividing decimals by multiples of 10 (Reasoning)

 

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

 

Plan the Park Percentages and Decimals

Match Fractions and Decimals

Find the Decimal for the Fraction

Convert Decimals & Fractions Game

Death to Decimals Game

Today’s Sale – decimals/ percentages

Demonstrate Fractions and Percentages

Fraction Parachutes

Percent Dominoes

Fractions to Percentage

PBS Kids Percent Fractions Picture Game

Percent Fractions Decimals Jeopardy Game

 

  • recognise that the symbol % means 'percent'

 

  • represent common percentages as fractions and decimals, eg '25% means 25 out of 100 or or 0.25'

    * recognise fractions, decimals and percentages as different representations of the same value (Communicating)

    * recall commonly used equivalent percentages, decimals and fractions, eg 75%, 0.75, (Communicating)

 

  • represent simple fractions as decimals and as percentages

    * interpret and explain the use of fractions, decimals and percentages in everyday contexts, eg hour = 45 minutes, percentage of trees in the local area that are native to Australia (Communicating, Reasoning)

  • represent decimals as fractions and percentages, eg

 

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies (ACMNA132)

 

Today’s Sale (Level A and B)

Penguin Waiter (calculate tip)

What’s the New Price?

Percent Dominoes

 

Troys’s Toys

(may need calculator for

more difficult problems)

 

  • equate 10% to 1/10, 25% to 1/4 and 50% to ½

 

  • calculate common percentages (10%, 25%, 50%) of quantities, with and without the use of digital technologies

    * choose the most appropriate equivalent form of a percentage to aid calculation, eg (Problem Solving)

 

  • use mental strategies to estimate discounts of 10%, 25% and 50%, eg '50% off the price of $122.70: 50% is the same as 1/2 , so the discount is about $60'

 

  • calculate the sale price of an item after a discount of 10%, 25% and 50%, with and without the use of digital technologies, recording the strategy and result

 

 
 

 

Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

 

Lunch Lady Game

Mathplayground Word Problem Database

Shop ‘Til You Drop (UK Money)

Add Decimals Memory Game

 

  • add and subtract decimals with the same number of decimal places, with and without the use of digital technologies

 

  • add and subtract decimals with a different number of decimal places, with and without the use of digital technologies

    * relate decimals to fractions to aid mental strategies (Communicating)

 

  • round a number of up to three decimal places to the nearest whole number

 

  • use estimation and rounding to check the reasonableness of answers when adding and subtracting decimals

    * describe situations where the estimation of calculations with decimals may be useful, eg to check the total cost of multiple items when shopping (Communicating, Problem Solving)

 

  • solve word problems involving the addition and subtraction of decimals, with and without the use of digital technologies, including those involving money

    * use selected words to describe each step of the solution process (Communicating, Problem Solving)

    * interpret a calculator display in the context of the problem, eg 2.6 means $2.60 (Communicating)

 

 

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies (ACMNA129)

 

Multiply Decimals

Multiply Decimals Game

Decimal Cruncher Multiply Decimals

Mathplayground Word Problem Database (Percentage)

Supermarket Sweep

 

IXL Grade 6

– Multiply and Divide Decimals

 

  • use mental strategies to multiply simple decimals by single-digit numbers, eg 3.5 × 2

 

  • multiply decimals of up to three decimal places by whole numbers of up to two digits, with and without the use of digital technologies, eg 'I measured three desks. Each desk was 1.25 m in length, so the total length is 3 × 1.25 = 3.75 m'

 

  • divide decimals by a one-digit whole number where the result is a terminating decimal, eg 5.25 ÷ 5 = 1.05

 

  • solve word problems involving the multiplication and division of decimals, including those involving money, eg determine the 'best buy' for different-sized cartons of cans of soft drink

 

Fractions and Decimals 2

- Continued

ES1 Maths Links

** NOTE - Covering many of the pointers below to achieve outcomes is dependent on the focus of instruction. As such many of the activities below can be used for a variety of purposes, or to cover a range of pointers. I have therefore grouped them rather than repeating them. Instead, where I have been able to find them, I have listed instructional links below pointers where they are specifically applicable.

 

Worksheets – whilst the site is designed to share interactive site links, I have included a few worksheet sites as their display could be used on Interactive White Boards or individual computers as practise activities without the need for printing - please see the Stage 3 Home Page.

© 2013 Jenny Cottle All rights reserved.

 

 

 

 

 

 

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