Unit Plan & Rationale Algebra!

Name and student ID: EPR320 AT2 Example Unit Plan (1000 words: Red text and pink shaded sections not included in word count. Red text 468 words) Mathematics Topic: AlgebraYear Level: 3Length: 5 lessons Australian Curriculum (AC) Links Unit Learning Objectives (ULO)[Clear easy to understand statement about what students are expected to be able to know, do and understand. Do not confuse with the instructional task. Refer to Content, Verb, Context and Clarity] (Max 4 ULOs) Achievement Standard (AS) segment(s) Related Content Description/s(CD) Students extend number sequences through mathematical addition and subtraction operations while generating new patterns. During their arithmetic fluency studies, students learn to solve equations using □ or ? Symbols help build their skills in algebraic reasoning and generalisation. AC9M3A03 – Continue to create and describe number patterns involving addition and subtraction. AC9M3N06 – Solve addition and subtraction problems using various strategies, including inverse operations. AC9M3N07 – Represent problems involving unknown quantities using number sentences with a symbol for the unknown. Students should be able to:  Recognise, continue, and create number patterns.  Use symbols to represent unknowns.  Solve simple algebraic addition and subtraction problems.  Explain reasoning using correct mathematical language and representations, strengthening communication and conceptual understanding in algebra. Learning sequence – pre-requisite and future knowledge/skills This unit builds on understandings from (refer to Achievement Standard): Specifically, students will need to understand/know/be able to: Future sequence of learning (refer to Achievement Standard): Students extend their Year 2 understanding of pattern evaluation and simple problem-solving while learning equality concepts. By extending these mathematical concepts, the unit provides students with the skills to think algebraically before they learn to symbolise unknown values. Students should perform two-based, five-based, and ten-based counting and identify number patterns while demonstrating part-part-whole concepts. Mathematical reasoning for solving unknowns utilises placeholder (□) elements combined with +, – and = symbols when students explain in basic mathematical language. The foundation built within this unit will prepare students for multiplication, division graphing and function machines. The students first master relational understanding using variables and equalities, leading them to abstract symbolic algebra. Stages of learning over five lessons Lesson/stage [Key focus][For each lesson indicate key mathematical idea for the lesson that will progress learning] Introductory problem or hook What skills and knowledge are students revisiting and practising? Main task[Activity undertaken by students as part of the learning process that will assist students in mastering new knowledge or skills.] What is the new learning in the task? Consolidation task What learning is being consolidated? Formative assessment[Not what you will do but the key learning you will focus on in the main and/or consolidation task.] How will you know if the students have learned the new knowledge/skills? Lesson 1 A short video introduces real samples of growing patterns, including shells and flowers, increasing student interest past school limits. Students enhance their understanding of skip counting by using number lines to locate repeating and growing patterns in addition to their Year 2 learning. Patterns and systematically exploring how the pattern increases. Students use coloured counters and linking cubes to create their growing patterns, describing the rule that governs the pattern. A sequence such as red-blue-red blue-blue-red could prompt a discussion of order, repetition, and numerical representation. Students receive patterns to complete and explain the reasoning in words or pictures. Different types of patterns are compared, and an addition gives the rule. Teachers evaluate students' understanding by giving pattern worksheets, classroom discussions, and verbal explanations. They use checklists to pay attention to the use of the appropriate vocabulary, such as "add," "next," and "repeat." Lesson 2 The teacher introduces a "Guess My Rule" puzzle through a puppet or game presentation, which begins at "2" and then adds "3." Students return to equal quantities and addition facts while describing pattern changes through their current counting abilities to identify the next numbers. In pairs, students formulate their pattern based on a starting number and a rule that includes +5. They record and represent sequences with number lines and charts. Students create their patterns and then write the number sentences. Instead, they introduce the rule using sentence starters such as 'I started …' and 'I added …' The assessment includes oral feedback, written rules, and peer explanations. When prompted, students identify errors in a pattern and justify their rules. Lesson 3 The problem given to students is a real-world problem: "I had some marbles." I got 5 more. Now I have 12. How many did I have?" Solving for a missing part involves recalling part, part, whole, relations, and inverse operations. Students translate real-world problems with symbols for unknowns (e.g., □ + 5 = 12) and solutions (number cubes, number lines, mental strategies). Students solve real-world problems translated into number sentences with symbols for unknowns (e.g., □ + 5 = 12) using cubes, number lines, and mental strategies. Use the screenshots to observe how students solve for unknowns using different methods. Lesson 4 Treasure chest unlocks with missing numbers in a "math mystery" that feels like an adventure for students helping a character solve the mystery. What is it that students revisit and practice regarding skill and knowledge? Students remember how to apply inverse operands to solve number sentences. Students solve mixed addition and subtraction equations with unknowns in the different positions (e.g., ? – 3 = 4 or 7 = ? + 2). Learning this way makes this new learning tricky for them, as they have to think flexibly about the structure of equations, apply inverse operations, and know that unknowns can appear anywhere in a number sentence, not just at the end. The puzzle worksheet combines understanding how to solve for unknown...