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Level Three > Number and Algebra

AO3: Know how many tenths, tens, hundreds, and thousands are in whole numbers.

Children
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Missing Number Bingo

To practice counting forwards and backwards with decimal numbers. This is a whole class game but can be played in small group situations where they can take turns to call the numbers. Both cards can be played at the same time which caters for differing students’ needs.

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My Decimal Number

In this activity students brainstorm different ways to represent decimal fractions.  They will draw on their knowledge of decimal place value, addition and subtraction of decimals, and writing decimals in words and symbols.

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Fractions and Grids

In this activity we use a grid to help students think of different names for the same fraction. As they become familiar with a hundredths grid, they will find it easier to make connections between fractions and decimals.

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Rolling Problems

In this activity we work with four digit numbers, adding and subtracting 1, 10, 100 and 1000 to these.

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Target 15 287

This is a whole class game but can be played in small group situations where they can take turns to roll the die. To give students practice in adding numbers from one up to ones of thousands or decimal numbers from thousandths to ones. Both cards can be played at the same time which caters for differing students’ needs.

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Money Matters

In this unit, students will explore Number concepts through the real world Measurement context of Money.  A variety of money contexts will be explored using paper play money, at first trading only $1, $10, and $100 notes, and eventually extending the trades and operations into using thousands, millions and billions of dollars. 

Students will be involved in making fair trades and exchanges of their money in order to have practical experiences with the essential "rules" of our place value system. Namely, that any ten of one denomination is equal to one of the next higher order (ie. 10 ones = 1 ten, 10 tens = 1 hundred, 10 hundreds = 1 thousand and so on).  The money context, with real world problems, will be used to enable students to make sense of, and to "unlock", the keys to the language, patterns and rules of our place value system.  By exploring large numbers through the concrete material of play money, students will gain confidence decoding and reading multi-digit numbers involving, ones, tens, hundreds and eventually, thousands, millions, billions, trillions etc.

ESOL Online.

Visit ESOL Online for a version of this unit designed to support students for whom English is an additional language.

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The 500 Problem

Explain face, place and total value of numbers

Solve 3-digit subtraction problems

Devise and use problem solving strategies (guess and check, think logically)

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Large Numbers Roll Over

Find out how many ones, tens, hundreds and thousands are in all of a whole number.

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Changing Money

Find out how many ones, tens, hundreds and thousands are in all of a whole number.

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Reading Decimal Fractions

Read decimals with tenths, count forwards and backwards in tenths, order decimals with tenths.

 

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Locating Decimal Fractions

Read decimals with tenths, count forwards and backwards in tenths, order decimals with tenths.

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The Decimal Fraction Point

Read decimals with tenths, count forwards and backwards in tenths, order decimals with tenths.

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Place Value Practice (Tenths)

These exercises and activities are for students to use independently of the teacher to practice number properties.

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Expanding Horizons

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Tens Time

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Rounding Up and Down

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Banking Issues

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Jumping Practice

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Money Everywhere

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Places to Go

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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A Million Grains of Rice

This is a level 3 number link activity from the Figure It Out series.

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Expanding Your Horizons

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Placing Points

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Exploration to Earth

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Steeplechase

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Maps and Magic

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Number Stretches

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Up in the Air

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Quick Thinking

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Better Buy Bargains

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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A Million Grains of Rice

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Lining Up Numbers

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Alien Estimates

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Space Marauders

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Find the Number

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Writing 1 000

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Shopping Around

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Time versus Money

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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Talk About: Two

These are level 3 number, geometry, statistics, amd measurement problems from the Figure It Out series.

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How Big is a Million?

This is an activity based on the picture book How Big is a Million?

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On Beyond a Million: An Amazing Math Journey

This is an activity based on the picture book On Beyond a Million: An Amazing Math Journey

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How Much is a Million?

This is an activity based on the picture book How Much is a Million?

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The Warlord’s Beads

This is an activity based on the picture book The Warlord’s Beads

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Place value with whole numbers and decimals

The purpose of this unit of sequenced lessons is to build on the students’ understanding of place value with three digit numbers and with one thousand. It supports the students as they generalise their 3 and 4-digit conceptual place value understanding across our numeration system.

This unit supports the teaching and learning activities in the Student e-ako Place Value 5, 6, 7 and 8 and complements lessons found in Book 5, Teaching Addition, Subtraction and Place Value.

This is the seventh and final unit in a series of units developing place value concepts.

This unit builds on the previous units of work: