Oz-e-maths Supplementary Materials for Connecting Maths Concepts Years F–5

Top-ups and Swap-outs for Currency and Measurement - Year 4
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Teaching resources

Teaching Guide
Student Workbook
Board display
Overview
Top-ups and Swap-outs for Currency and Measurement – Year 4 is a Mathematics unit for Year 4 students. It works in cooperation with Connecting Maths Concepts (CMC) to ensure that delivery of CMC aligns with Australian Curriculum gap requirements. It aligns to the Australian Curriculum:
  • Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another (AC9M4N02).
  • Plan and conduct statistical investigations by posing investigative questions or identifying a problem and collecting data relevant to (AC9M4ST03).
  • Acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables, to address (AC9M4ST01).
  • Interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made (AC9M4ST02).
  • Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise (AC9M4SP03).
  • Construct a grid coordinate system that uses coordinates to locate positions within a space (AC9M4SP02).
  • List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely (AC9M4P01).
  • Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results (AC9M4P02).
  • Solve problems involving purchases and the calculation of change to the nearest five cents with an without digital technologies (ACMNA080).
Learning Objectives
In Lesson 10 (CMC Level E: Lesson 11-20), students learn to:
  • define area
  • identify regular shapes and calculate the area by counting the square centimetres
  • write the area unit of measurement (cm2) for regular shapes
  • identify irregular shapes and calculate the area by counting the square centimetres
  • write the area unit of measurement (cm2) for irregular shapes.
In Lesson 11 (CMC Level E: Lesson 21-30), students learn to:
  • identify odd and even numbers
  • add with odd and even numbers
  • subtract with odd and even numbers
  • divide with odd and even numbers.
In Lesson 12 (CMC Level E: Lesson 31-40), students learn to:
  • define data, identifying different methods for displaying data (table and frequency table) and how to interpret the data (tally marks)
  • identify how a survey can be used to collect data and represented using a frequency table
  • use tally marks to record and interpret data in a frequency table
  • use a frequency table to record data collected from observation and surveys.
In Lesson 13 (CMC Level E: Lesson 41-50), students learn to:
  • identify features of a picture graph
  • construct a simple picture graph
  • interpret a picture graph (picture represents frequency more than 1)
  • construct a many-to-one picture graph
  • identify features of a column graph
  • identify features of the vertical (y) axis
  • identify features of the horizontal (x) axis and compare graphs
  • label the features and construct a column graph from given data
In Lesson 14 (CMC Level E: Lesson 51-60), students learn to:
  • define data and how it can be displayed
  • identify one-to-one correspondence in picture graphs
  • identify many-to-one correspondence in picture graphs
  • compare One-to-One and Many-to-One correspondence in picture graphs
  • pose questions that can be answered by the data results
  • compare different types of data displays with the same data represented in each
  • compare different types of data displays and evaluate the effectiveness of each.
In Lesson 15 (CMC Level E: Lesson 61-70), students learn to:
  • describe symmetry and examine symmetry in 2D shapes
  • identify and draw lines of symmetry
  • draw symmetrical shapes
  • identify shapes with complex symmetry.
In Lesson 16 (CMC Level E: Lessons 91-100), students learn to:
  • describe direction using the main points on a compass
  • describe direction using the minor points on a compass
  • describe direction of places on a map using points on a compass
  • identify the compass points and use direction to describe and interpret information on a map
  • use a legend to interpret information on a map
  • construct a legend from the information contained in a map
  • define and use scale to interpret distance on a map
  • use scale to interpret approximate distances on a map
  • construct a legend from information contained in a map, including a compass and scale
In Lesson 17 (CMC Level E: Lessons 101-110), students learn to:
  • define: certain, likely, unlikely, impossible, and use these terms to describe the probability of events
  • select either certain or impossible to describe the probability of an event
  • select either likely or unlikely to describe the probability of an event
  • order the probability of events from impossible to certain
  • describe the probability of an event occurring as more likely, less likely, or equally likely
  • order the probability of events from least likely to most likely.
In Lesson 18 (CMC Level E: Lessons 111-120), students learn to:
  • define chance and apply the language of chance
  • apply the language of chance to order from least to most likely
  • apply the language of chance to order from least to most likely
  • order from most likely, least likely and equal chance to occur
  • define dependent events
  • identify events that cannot happen at the same time
  • define and label the timing of dependent events
  • define and label when a dependent event affects another event
  • identify when an event is dependent or not dependent.
In Lesson 19 (CMC Level E: Lessons 121-130), students learn to:
  • identify independent events that can happen at the same time
  • identify when an event is independent or dependent
  • identify how independent events do not affect the next event
  • identify independent and dependent events
  • demonstrate understanding of the timing and effect of dependent and independent events
Success Criteria
Top-Ups
  • Calculate the area of regular and irregular shapes.
  • Identify, add, subtract and divide odd and even numbers.
  • Create tables and use tally marks for data collection and displays.
  • Construct and label picture graphs and column graphs.
  • Understand symmetry.
  • Understand chance and probability of dependent and independent events.
Swap-Outs
  • Apply arithmetic skills for all units of measurement.
  • Solve comparison word problems.
Assessment 
Mastery Tests
  • Mastery Tests are given at the end of every 10 lessons, designed to be taught over a two-week cycle. Mastery Tests allow teachers to monitor student understanding of the concepts taught in previous lessons and identify where reteaching is needed. 
  • The Teaching Guide contains the Mastery Test script. Mastery Tests are delivered using a presentation script, board displays and a handout for students. The Teaching Guide also contains the Answer Key.


Cumulative Tests
  • There are two Cumulative Tests for Swap-Outs that are completed after lesson 60 and lesson 120. The Cumulative Tests are in the Teaching Guide. 
  • Teachers copy the assessment and distribute to students at testing time. 

Lesson Objectives

Success Criteria

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