Exploring Linear Relationships in Grade 8/9 Math Curriculum

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Delve into the world of linear relationships in Grade 8/9 Math curriculum, where students learn to identify, represent, analyze, and apply two-variable linear equations. Through a variety of activities and goals focused on reasoning, communication, and self-regulation, students develop a deep understanding of how discrete linear relationships can be utilized in different forms to make generalizations and solve real-world problems.


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  1. Class Profile Classroom Strengths Classroom Stretches Teacher: Class: Goals Decisions Individual Concerns Learning Medical Language Other Socio-Emotional (Brownlie & King, 2000)

  2. RTI Triangle: Gr. 8/9 Lens: Math 9 Algebra fs Tier 3 Tier 2 Tier 1 Inclusion Planning Workshop (RTI) Shelley Moore 2017

  3. RTI Triangle Students who need the most support Grade/Course/Subject (place) Gr. 8/9 GT (H) CH (K) LL (C/D) JH(D/C/R) CL (Q) Curricular Lens: RB (R) Tier 3 Math 9- Algebra TC (Q) MD (Q) AS (Q) GH (H) TO MD (Q) KM (K) Competency Lens: AS (Q) Social Emotional/Anxiety SH (Q) Tier 2 LL (C/D) CL (Q) SH (Q) DM (H) JP JH (D/C/R) KM (K) JB (R) CO (Q) JB (R) TC (Q) GH (H) CO (Q) BG (Q) CH (K) DM (H) JP GT (H) TO Students who need the most challenge TD ML (Q) GE GE ML BG(Q) Tier 1 Core Competency Curricular

  4. Grade: Subject Area: Planning Team: Big Idea: Discrete linear relationships can be represented in many connected ways and used to identify and make generalizations. Unit Guiding question: What is a linear relationship? What are the different ways we can represent a linear relationship? Where could we find linear relationships in our world? Content Goal I know two-variable linear relations Curricular Competency Goal I can reason and analyse by using patterns and logic Curricular Competency Goal I can understand and solve by devloping, demonstrating, and applying mathematical understanding through play, inquiry, and problem solving Curricular Competency Goal I can communicate and represent by explaining and justifying Core Competency Goal I can self regulate in math

  5. Course/Subject/Grade(s): Grade 8/9 Math Planning Team: Westview Secondary Unit Guiding Question: What is a linear relationship? What are the different ways we can represent a linear relationship? Where could we find linear relationships in our world? ACCESS: This is what I need to know and do ALL: This is what I must know & do MOST: This is what I can know & do FEW: This is what I could know & do CHALLENGE: This is what I can try to know & do Content Goal(s): I know 2 variable linear equations I know the difference between a letter and a number I know a real life example of an algebraic equation I know how to graph a linear equation I know how to interpolate and extrapolate approximate values I know that a linear equation can be represented in different forms I can reason and analyse by using patterns and logic I can represent a number with a variable I can use logic and reason to play puzzles and games I can make connections I can make predictions I can make inductive/deductive reasoning I can draw a conclusion I can extrapolate data into real life situations I can understand and solve by devloping, demonstrating, and applying mathematical understanding through play, inquiry, and problem solving I can participate in math activities through play I can apply mathematical strategies through play I can apply mathematical strategies through problem solving I can apply mathematical strategies through inquiry I can apply mathematical strategies to make inferences Curricular Competency Goals I can communicate and represent by explaining and justifying I can show joint attention in a mathematical activity I can communicate my thinking concretely I can represent my thinking visually I can communicate my thinking abstractly I can justify my thinking Core Competency Goal: I can become a self regulated learning I can show happy, if I like something or not I can recognize emotions I can manage my feelings and emotions I can persevere through challenging tasks I can implement, monitor, and adjust a plan and assess the results. Learning Map adapted from Cameron & Gregory, 2011 Shelley Moore, 2017

  6. Unit Mini Lesson Planner Course/Subject/Grade(s): Unit Question: Mini lesson Planner Chunk 1 Curricular Competency question: Content Mini lesson: CC Mini lesson: CC Mini lesson: CC Mini lesson: Chunk 2 Curricular Competency question: Content Mini lesson: CC Mini lesson: CC Mini lesson: CC Mini lesson: Chunk 3 Curricular Competency question: Content Mini lesson: CC Mini lesson: CC Mini lesson: CC Mini lesson: Chunk 4 How will I demonstrate my learning? Mini lesson: e.g. What format will I choose to help me answer the guiding question? Mini lesson: e.g. What goals have I met? Mini lesson: e.g. What evidence supports my learning? Mini lesson: e.g. How can I peer/self assess? Curricular Competency Mini Lesson Planner Shelley Moore, 2017

  7. Guiding Unit Question: What is a linear relationship? What are the different ways we can represent a linear relationship? Where could we find linear relationships in our world? Lesson Goal(s): I know a real life example of an algebraic equation Date: Connecting Activity: Put equations on the board (without letters) students write answer on the board. Slowly introduce variables and multiplication What do you notice? Essential Supports (designed for 1, useful for 1) - Safety plan - Knowing gestures/phrases - Basket of calming activities puzzles, play doh, colouring, beads Mini Lesson: 1 variable Taking the bus! Catherine is bus driver! 5 stops 3 kids at each stop as we pick up people how many now bus stop (TO, GT, LL) 3 people at each stop On the bus we will ask the bus stops how many people at your stop? make a T Chart What do you notice? What would stop 6 be? Stop 7? Processing Tasks Targeted Support (designed for some, useful for some) Choice of: - Multiplication grids - Calculators - Structured grouping I Could I Must I Can I Need to I Can Try to I can calculate a new sequence I can calculate the sequence of the bus stop I can predict the sequence of more bus stops I can count the number of people at my bus stop I can predict a new sequence Universal Supports (designed for some, useful for all) - white board - Graphic organizers - Concrete, hand on activities - Choice of work space and who to work with Few All Access Most Challenge Transforming & Personalizing Activity: What do letters represent in algebraic equations? Where is another example in the world where algebraic equations would be helpful? Lesson Planning Template Shelley Moore, 2017 Adapted from Brownlie & Schnellert

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