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

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

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.

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