## 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
• To solve comparison word problems
Assessment
Mastery Test
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 to 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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