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IB MYP 2 Mathematics Project Task – Parallel Lines in Real Life Criteria Assessed: B (Investigating Patterns), C (Communicating), D (Applying Mathematics in Real-Life Contexts) Project Overview In this project, you will explore how parallel lines appear in real-life situations. You will investigate angle relationships formed by transversals, analyze patterns, and communicate your mathematical reasoning clearly. Task Instructions Real-Life Evidence: Take or collect at least 5 original photographs showing parallel lines in real life (e.g., railway tracks, road markings, building structures, window grills, notebook lines). Clearly label the parallel lines in each image. Mathematical Investigation (Criterion B): Draw a transversal intersecting the parallel lines in at least 3 images. Identify and label corresponding, alternate interior, alternate exterior, and co-interior angles. Explain angle relationships using correct math...

IB MYP 2 Mathematics Summative Assessment – Algebraic Expressions & Sequences Instructions You have 60 minutes to complete this assessment. Show all your working clearly and explain your thinking using correct mathematical language, symbols, and steps. Use full sentences when describing patterns, rules, or calculations. This task assesses both Criterion A (Knowing and Understanding) and Criterion B (Expression). Part A – Criterion A: Knowing and Understanding Definitions and Understanding In your own words, define the following and provide one numerical example for each: Arithmetic Sequence Geometric Sequence Algebraic Expression Term-to-Term Rule Identifying Sequences For each sequence below, state whether it is arithmetic, geometric, or neither, and explain your reasoning: 2, 5, 8, 11, … 3, 6, 12, 24, … 1, 2, 4, 8, 16, 31, … Finding the nth Term For the sequences identified as arithmetic ...

IB MYP 2 Mathematics Criterion B Task – Expression: Algebraic Sequences Instructions You have 50 minutes to complete this task. Show all your working and explain your thinking using correct mathematical language, symbols, and steps. Use full sentences when describing patterns, rules, and formulas. Task: Algebraic Sequences Part A – Recognizing Patterns The following sequences are given. Determine the rule for the \(n^{th}\) term in words and in algebraic form: Sequence 1: 3, 7, 11, 15, … Sequence 2: 2, 6, 18, 54, … Sequence 3: 5, 9, 14, 20, … Part B – Finding Terms Using your rules from Part A, find the following: The 10th term of Sequence 1 The 5th term of Sequence 2 The 8th term of Sequence 3 Part C – Explaining Your Reasoning For each sequence, explain: How you determined the type of sequence (arithmetic or geometric) How you derived the algebraic expression for the \(n^{th}\) ter...

IB MYP 2 Mathematics Criterion B Task – Expression: Communicating Mathematical Ideas Instructions You have 50 minutes to complete this task. Show all your working and explain your thinking using correct mathematical language, symbols, and steps. Use full sentences when explaining your reasoning, especially for word problems and formulas. Task: Expression of Mathematical Ideas Part A – Simplifying Expressions Simplify the following expressions and show all steps: \(3x + 5x - 7\) \(2(a + 3) + 4a\) \(5y - 3(2y - 4)\) Part B – Translating Word Problems Write an algebraic expression for each situation: A rectangle has a length that is 3 meters longer than twice its width \(w\) . Write an expression for the perimeter. Sarah has \(n\) marbles. She buys 5 more packs of 4 marbles each. Write an expression for her total number of marbles. Part C – Patterns and Formulas The sequence of numbers is: 2,...

IB MYP 2 Mathematics Criterion C Task – Communicating: Number Operation Properties Instructions You have 50 minutes to complete this task. Show all your working and explain your thinking using correct mathematical language, symbols, and steps. Use full sentences when giving definitions and justifications. Task: Understanding and Applying Number Properties Definitions In your own words, define the following properties and give one numerical example for each: Commutative Property (Addition and Multiplication) Associative Property (Addition and Multiplication) Distributive Property Identity Property (Addition and Multiplication) Inverse Property (Addition and Multiplication) Identifying Properties For each expression below, state the property being used and explain why. \( 6 + 9 = 9 + 6 \) \( (4 \times 5) \times 2 = 4 \times (5 \times 2) \) \( 3(4 + 7) = 3 \times 4 + 3 \times 7 \) \( 12 + 0 = 12 \...

IB MYP 2 Mathematics Order of Operations – Criterion A & B Tasks Criterion A: Knowing and Understanding Topic: Order of Operations Task: Answer the following questions to demonstrate your understanding of the order of operations rules. Define the order of operations and explain why it is important in mathematics. Simplify the expression: $$ 7 + 2 \times 5 - (3^2 - 4) $$ Evaluate: $$ (6 + 4) \div 2^2 + 3 \times 2 $$ Be sure to write your answer clearly and explain each step in your calculations. Criterion B: Investigating Patterns Topic: Order of Operations Task: Investigate the pattern in the sequence of expressions below and answer the questions that follow. Consider the sequence of expressions: $$ \begin{aligned} &E_1 = 1 + 2 \times 3 \\ &E_2 = (1 + 2) \times 3 \\ &E_3 = 1 + (2 \times 3) \\ &E_4 = (1 + 2 \times 3) \\ &E_5 = ((1 + 2) \times 3) \end{aligned} $$ Calculate the value ...

IB MYP 2 Mathematics Order of Operations – Criterion C & D Tasks Criterion C: Communicating Mathematical Ideas Topic: Order of Operations Task: Simplify the following expressions step-by-step, showing all your working and explaining the order of operations you apply. Simplify: $$ 5 + 3 \times (8 - 4)^2 \div 2 $$ Simplify: $$ (12 \div 3 + 7) \times (5 - 2)^2 - 4 $$ Simplify: $$ 18 - 6 \times 2 + (3^3 \div 9) $$ Instructions: Write down each step clearly, explaining which operation you are doing and why, following the order of operations rules. Use correct mathematical notation and terminology (e.g., brackets, indices, multiplication, division, addition, subtraction). Criterion D: Applying Mathematics in Real-Life Contexts Topic: Order of Operations Real-Life Scenario: You are budgeting for a birthday party. You plan to buy: 4 boxes of cupcakes at $6.25 each 2 large pizzas, priced at $15 ...

IB MYP 2 Mathematics Criterion D Task – Order of Operations Applying Mathematics in Real-Life Contexts Real-Life Context: Supermarket Shopping You have a budget of $100 for your shopping. You plan to buy the following items: 3 packs of juice boxes, each costing $4.50 2 family pizzas, on sale as Buy 1 Get 1 50% off (original price: $11.00 each) 4 bags of apples, each weighing 1.5 kg and costing $2.60 per kg A 10% discount voucher applies only after calculating the total before tax Sales tax is 8% Task Instructions Write a single mathematical expression using numbers, operations, and brackets to calculate your total bill before tax and discount. Apply the order of operations correctly to calculate the total cost after applying the 10% discount and then the 8% sales tax. Show all your steps clearly, explaining why you perform each operation in that order. State whether your total cost is within your $100 budge...

MYP 2 Mathematics – Task Sheet Topic: Order of Operations Level: MYP Year 2 (Grade 7) Assessment Focus: Criterion C – Communicating Global Context Scientific and Technical Innovation: How can we ensure accurate results in scientific and real-life calculations? Learning Objectives Use and explain the correct order of operations (BIDMAS/PEMDAS). Communicate mathematical steps clearly and logically using appropriate notation. Part A: Solve and Show Your Work Solve each expression using the correct order of operations. Show ALL steps clearly. $ 8 + 6 \div 2 \times (3 + 1) $ $ (5 + 3)^2 - 4 \times 2 $ $ 18 \div 3 + 2 \times (4 + 5) $ $ [2 + 3 \times (6 - 4)]^2 \div 5 $ $ 7 + \{8 - [3 + 2 \times (1 + 1)]\} \times 2 $ Part B: Explain Your Reasoning Choose one problem from Part A and explain your reasoning in full sentences. Example: “First, I solved the bracket...

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MYP 2 Assessment || Mathematics || TERM II

MYP 2 Summative Assessment || Mathematics ||  Criteria A and Criteria B  MYP 2 Summative Assessment || Mathematics || Answer

|| Mathematics Subject content of IB MYP 2 ||

Practice paper || IB MYP 2

|| Mathematics Lesson Plan ||