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Level Four > Number and Algebra

AO3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.

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Children
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Team Puzzles

In this unit students work in co-operative teams of four to complete a puzzle. Each student initially works independently, and then the team jointly puts together the four shapes they have individually made, to complete the puzzle.

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How many Words?

This unit compares the frequencies of different parts of language in different kinds of text.  This provides an opportunity to discuss and categorise parts of language, as well as a practical context in which to use percentages, and generate pie graphs.

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Carrie's First Cubes

Apply the properties of 3-D shapes to solve a problem

Visualise 3-D objects

Devise and use problem solving strategies to explore situations mathematically (be systematic).

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This is to That

In this unit we look at ratio, what it means for numbers or objects to be in a given ratio, and how ratios and fractions are related.

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Tennis and Golf Players

Find a percentage of a given quantity

Use Venn diagrams to represent intersecting sets.

Devise and use problem solving strategies (draw a diagram)

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Free Cell

Solve problems involving fractions and percentages

Devise and use problem solving strategies (guess and check, be systematic, look for a pattern, make a table)

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Fuel Saving

Find a percentage of a quantity

Devise and use problem solving strategies (be systematic, work logically)

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The Clumsy Tiler N

Handle smaller and smaller fractions.

Devise and use problem solving strategies to explore situations mathematically (make a drawing, use equipment).

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Create A Question

Use their mathematical knowledge to invent problems

Solve other students' problems.

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Getting Percentible

This unit explores the connections between percentages, decimals, and fractions. It focuses on strategies for solving problems involving percentages and applies these strategies to real life contexts.

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Choices

This unit is about making calculations in the real life situations of taxis, hire cars, and cell phones.

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Shopping for Savings

This unit involves students in calculating savings and finding the best value items from a list of products. It would ideally be carried out prior to a school camp or similar, with students given the challenge of finding the best bargains for the trip.

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Squirt Level 4

This unit explores how the suite of learning objects, "Squirt", can be used to support students’ development of multiplicative thinking. Squirt encourages students to anticipate multiplicative measurement relationships, e.g. three measures of A fit in B, by partially filling a container and imaging how many more squirts will be needed. Since the containers are not always cylindrical it also develops ideas about conservation of volume.

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Fractions of Fractions

This unit uses one of the digital learning objects, the Fractions of Fractions Tool, to support students as they investigate finding fractions of fractions. It is suitable for students working at stage 7 – 8 of the number framework. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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Fraction Bar

This unit uses one of the digital learning objects, the Fraction Bar, to support students as they investigate finding fractions of whole numbers. It is suitable for students working at stage 7-8 of the number framework. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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Percentage Bar

This unit uses one of the digital learning objects, the Percentage Bar, to support students as they investigate finding percentages of whole numbers. It is suitable for students working at stage 7-8 of the number framework. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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Fractions Times Whole Numbers

Find fractions of whole number amounts using multiplication and division.

Solve multiplication and division problems that involve fractions.

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Fractional blocks

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

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Hot Shots 1

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

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Pounamu Pendant

This is a level 4 measurement strand activity from the Figure It Out series. It also has an achievement objective from the Level 4 Number strategies and knowledge substrand.

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Delicatessen Mathematics

This is a level 4 algebra strand activity from the Figure It Out series. It also has an achievement objective from the Level 4 Number strategies and knowledge substrand.

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Surf's Up

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Flying Home

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Making Money

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Bargain Busters

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Upgrading the Hall

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Water World

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Chocolate Chip Feast

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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All Bottled Up

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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Bits and Pieces

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Conversion Cousins - Part 2

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Football Fractions

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Zax Tax

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Involving Interest

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Purchasing Payments

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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New Car Capers

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Cycling On...

This is a level 4 number and level 4 measurement  link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Census Sense

This is a level 3 and 4 number link activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.

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Bargain Bonanza

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Percentage Passes

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Spending on Sport

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Accident-prone

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Tasty Division

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Buying Batteries

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Slip-sliding Away

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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On Top of the World

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Pondering Percentages

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Even Pictures Talk

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Playzone Discount

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Clothes Spree

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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On the Campaign Trail

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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People Power

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Fractions in Room 7

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Puzzling Patterns

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Shaping Up

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Star Clusters

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Tri Fractions

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Wafers with Decimal fractions

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

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Charu in a Pickle

This is a level 4 number and algebra activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Keep Your Shirt On

This is a level 4 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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New Zealand Made?

This is a level 4 number and algebra activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Beefing Up Business

This is a level 4 number, algebra, statistics activity and level 5 number activity from the Figure It Out series. It relates to Stage 7 and 8 of the Number Framework.

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Profit or Loss?

This is a level 4 number and algebra activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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On Your Bike, Mike

This is a level 4 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Compound Interest

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Juggling A Business

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Market Day

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Spending

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.

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Investment Choices

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.

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Investing on the Share Market

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity.

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Part-time Work

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

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Paying the Bills

This is a level 3 and 4 number activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.

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Price Hike

This is a level 4 statistics and number activity from the Figure It Out series.

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Hot Shots 1

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

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Invisible Resources

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.

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Saving Power

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.

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Big Numbers

This is an activity based on the picture book Big Numbers