MATHEMATICS
STAGE 1
TEACHING AND LEARNING OVERVIEW
TERM:
WEEK: 12
STRAND:
Number and Algebra
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OUTCOMES:
SUB-STRAND:
Multiplication and Division 2
WORKING MATHEMATICALLY:
MA1-1WM, MA1-2WM, MA1-3WM
MA1-6NA - uses a range of mental strategies and concrete materials for multiplication and division
CONTENT:
Recognise and represent multiplication as repeated addition, groups and arrays (ACMNA031)
 Determine and distinguish between the 'number of rows/columns' and the 'number in each row/column' when describing collections of objects
(Communicating)
 Recognise practical examples of arrays, such as seedling trays or vegetable gardens (Reasoning)
 model the commutative property of multiplication, eg '3 groups of 2 is the same as 2 groups of 3'
ASSESSMENT FOR
LEARNING
(PRE-ASSESSMENT)
WARM UP / DRILL
Anecdotal notes following counting games, and group work to identify those who can describe collections of objects as 'groups of', 'rows of' and
'columns of' (Communicating)
TENS ACTIVITY
NEWMAN’S PROBLEM
INVESTIGATION
What is the quickest way to count a group of students? Is there more than one method?
QUALITY TEACHING
ELEMENTS
RESOURCES
 Call out a number and have the students form groups of that number and sit as a group. Any students left standing nominate the next number.
 Skip count daily using IWB hundreds chart.
INTELLECTUAL QUALITY
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Deep knowledge
Deep understanding
Problematic knowledge
Higher-order thinking
Metalanguage
Substantive communication
QUALITY LEARNING ENVIRONMENT
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Explicit quality criteria
Engagement
High expectations
Social support
Students’ self-regulation
Student direction
SIGNIFICANCE
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Background knowledge
Cultural knowledge
Knowledge integration
Inclusivity
Connectedness
Narrative
IWB objects, collections of a variety of objects such as counters, teddies, paddle pop sticks, egg cartons, muffin tins, seed trays
Multiplication Array Journal at http://panickedteacher.typepad.com/blog/2010/11/multiplication-arrays.html
My Little Book of Arrays- activities, worksheets, and math centers to help students practice rectangular arrays. All arrays are up to 5x5 from
TeachersPayTeacher
eisforexplore.blogspot.com
Commutative Law song on YouTube
TEACHING AND LEARNING EXPERIENCES
WHOLE CLASS INSTRUCTION
MODELLED ACTIVITIES
 Reasoning and communicating.
Present 12 objects. Discuss the
easiest way to display the objects so
that they can be counted easily, ie
repeated addition, skip counting
 Define and reinforce metalanguage
used in the unit, ie row, column,
sharing, collection, fair share
 Explore and define commutative
law of multiplication
 Using IWB show the 12 objects to
manipulate into various arrays,
reversing number of objects in rows
and columns, without changing the
total number
GUIDED & INDEPENDENT ACTIVITIES
LEARNING
SEQUENCE
Remediation
 Rows and columns- Use egg cartons and counters to show 2 rows of 6 and 6 rows of 2, discuss number of
rows and columns and the number
Remediation
ES1
LEARNING
SEQUENCE
S1
LEARNING
SEQUENCE
WHOLE CLASS INSTRUCTION MODELLED ACTIVITIES
 Arrays in the real world- Use muffin trays, seedling trays, sheets of stickers and write a Multiplication
Array Journal for each
 Commutative Law- model using egg carton to show that 6 x 2 = 2 x 6 = 12. Represent using seedling trays,
muffin trays etc
 Investigation
Students make a multiplication array at home using their favorite toy, snack, or any other object. Then,
they bring their objects to class and set it up. Once arrays are ready to go, students go around the
classroom, writing multiplication equations and solving their classmates' arrays (from Pinterest, Guess My
Array!).
Assessment: Children can effectively place a group of objects into an array and describe the collection of objects by
stating the number of rows and columns and the number of objects in the rows and columns- see Multiplication
Array Journal
Investigation: What is the quickest method of counting a large group of objects?
Extension
 Students photograph arrays in the school environment using iPad and present to class with appropriate
number sentences.
Extension
Late stage 1
EVALUATION &
REFLECTION
Student Engagement
Achievement of outcomes
Resources
Follow up