Polyominoes YR: 3 – 5 Shape / Location and Transformation Materials required: • Multi-fix cubes (1 set for each group) OR • Graph Paper, Rulers, Pencils and Coloured Pencils OR • Area Builder Online http: //www. transum. org/Maths/Activity/Ph. ET/Area_Builder. asp
Knowledge reviewed: Draw 2 D shapes. ACMNA 042 Identify slides and flips. ACMNA 045 Identify half and quarter turns. ACMNA 046 Concepts explored: Create symmetrical patterns. ACMNA 091 Combine and split common shapes. ACMNA 088 Translations, reflections, rotations. Line and rotational symmetries. ACMNA 114 Skills developed: Finding patterns. Representing mathematical findings. Conjecturing and testing. ACMNA 018, ACMNA 035, ACMNA 060, ACMNA 133
STEP 1: Explore the Materials Q: What could we do with these cubes? STEP 2: The Task Explore all of the different pentominoes that can be made. Pentomino is a shape made of 5 squares e. g. : Once you’ve identified all of the pentominoes, try quadominoes, hexominoes, etc. Things to record: Shape (as an image), Area, Perimeter, Length, Width.
STEP 3: Discuss What have you noticed in your exploration? What patterns have you seen? STEP 4: Create an ‘I wonder’ question I wonder if… I wonder what happens when… I wonder if it’s always true that… I wonder if it’s possible… STEP 5: Explore your question in your team. STEP 6: Share your findings. STEP 7: Written reflection