Assessment Plan Title of lesson: ‘APP-ing’ Number Sequences Learning Objectives Learning Outcomes By the end of this work I will be able to: Recognise sequences of numbers, including odd and even numbers (Level 2) Recognise a wider range of sequences (Level 3) Level 2 This lesson focuses upon assessment at levels 2 and 3, but gives suggestions for extending to level 4, although the latter is not present on the National Assessment Criteria A3 tracking sheets. SNS Progression Maps: Algebra Sequences, Functions & Graphs Steps 1, 3 & 4. Level 3 Level 4 Continue a sequence increasing/decreasing in regular steps Recognise sequences increasing or decreasing in regular steps of 2 or 10 Continue arithmetic sequences in either direction Recognise sequences increasing or decreasing in regular steps of 2, 5 or 10 Recognise sequences: increasing or decreasing in regular steps with decimal or negative numbers; with a first difference pattern that does not go up in equal steps. Key Vocabulary Sequence, term, first difference, second difference, increasing, decreasing, regular, steps, Learning/Assessment Episodes Starter (10-15 mins) Q “What number sequences do you know?” Use responses to explore current understanding and ensure key vocabulary is made explicit, (sequence, term, first difference, second difference). Use a counting stick to explore sequences with the whole class joining in verbally. Cover examples such as those in the focused assessment materials below. Learning/Assessment episodes (30-40 mins) Plenary (10-15 mins) 1. The main task is for pupils to work in pairs to produce ‘posters’ that are split into different headings, in line with the learning outcomes, (worksheet provided below this plan). 1. Pupils are given mini-whiteboards and asked questions, (see the probing questions below). Pupils make up their own sequences, under the various headings given. In groups they must: a. all agree with the sequences they produce and all be able to explain them verbally; b. attempt to show how the sequences increase / decrease. 2. Share the learning outcomes with the class again. Ask students to spend some time thinking about where they are in their learning in relation to the learning outcomes identified, using the work done in the lesson to help them to do this. During this activity the teachers focused upon particular pupils, using probing questions to explore understanding. Ask students to write, “I can…’ and, “To improve…” statements, (using the outcomes!). Examples – Level 2 Focused Assessment Materials (FAM) – draft Probing questions – Level 2 Recognise numbers from counting in tens or twos Q Show me a sequence that has 20 in it Q The number 67 will be in this sequence: 5, 10, 15, 20, ... Q Show two sequences that increase with the same step but start at different numbers e.g. 1, 3, 5, 7, 9 or 2, 4, 6, 8, 10. What is the same and different about these? Q Convince me that the number 10 can be in more than one sequence Examples – Level 3 Probing questions – Level 3 Continue arithmetic sequences in either direction Q Show me an example of a number sequence: with an increasing pattern with a decreasing pattern Q What is the same/different: 4, 7, 10, 13, ... and 13, 10, 7, 4, ... Q True/Never/Sometimes: A sequence always goes up in equal steps Q Convince me that the number '___' is in this sequence Continue a sequence increasing/decreasing in regular steps Recognise a wider range of sequences including multiples of 2, 5 and 10 Suggested Examples – Level 4 …, …, 0.9, 1.3, 1.7, … -11, -14, -17, …, …, … 2, 5, 11, 23, …, ... Suggested Probing questions – Level 4 Q Show me an example of a number sequence involving: o decimals o negative numbers o a (first) difference pattern that does not go up in equal steps Q What is the same/different: o 4, 7, 10, 13, ... and 13, 10, 7, 4, ... o 5, 9, 13, 17, ... and -5, -9, -13, -17, ... o 2, 5, 8, 11, ... and 0.2, 0.5, 0.8, 1.1, ... Q True/Never/Sometimes: A sequence always goes up in equal steps Q Convince me that the number '___' is in this sequence Resources Copy of the Learning Intentions and learning outcomes on interactive whiteboard. A3 worksheets (provided below): 1 copy per group of 2/3 pupils. Counting stick for starter. Progression Maps Further support for this objective can be found within the Secondary National Strategy ‘Progression Maps’ at www.standards.dfes.gov.uk/progressionmaps/maths/sec_ma_prgrsn_index.htm : Algebra Sequences, Functions & Graphs Steps 1, 3 & 4. Homework N/A Follow up Review, moderate and record pupils’ self-assessments to check understanding of the objective/outcomes covered. Sequences increasing or decreasing in regular steps of 2 or 10, including odd and even numbers. Sequences increasing or decreasing in regular steps of 2, 5 or 10. Sequences increasing or decreasing in regular steps with decimal numbers. Sequences increasing or decreasing in regular steps with negative numbers. Sequences with a first difference pattern that does not go up in equal steps. Make up your own sequences. They should be quite difficult, but you must be able to explain how they work.