IB MYP 2 || Mathematics Task || Summative Assessment || Topic: Expressions & Algebraic Sequences || Criteria A & B

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

  1. 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
  2. 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, …
  3. Finding the nth Term

    For the sequences identified as arithmetic or geometric above, write an algebraic expression for the $n^{th}$ term.

Part B – Criterion B: Expression

  1. Simplifying Expressions

    Simplify the following expressions step by step:
    • $4x + 7x - 5$
    • $3(a + 5) + 2a$
    • $6y - 2(3y - 4)$
  2. Applying Sequences

    Using the algebraic expressions you wrote for the nth term in Part A:
    • Find the 10th term of the arithmetic sequence: 2, 5, 8, 11, …
    • Find the 6th term of the geometric sequence: 3, 6, 12, 24, …
  3. Explaining Reasoning

    For at least one arithmetic and one geometric sequence, explain:
    • How you determined the sequence type
    • How you derived the nth term formula
    • How you used the formula to calculate a specific term
  4. Create Your Own Sequence and Expression

    Write an arithmetic or geometric sequence of at least 5 terms. Then:
    • Describe the rule in words
    • Write the nth term formula
    • Find the 7th term using your formula

Rubrics

Criterion A – Knowing and Understanding

Level Description
0 The student does not reach a standard described by any of the descriptors below.
1–2 Limited understanding of mathematical concepts and sequences; explanations are mostly unclear.
3–4 Some understanding of concepts; explanations are partially correct and sometimes clear.
5–6 Good understanding of concepts; explanations are mostly correct and clear.
7–8 Thorough understanding of concepts; explanations are clear, precise, and detailed.

Criterion B – Expression

Level Description
0 The student does not reach a standard described by any of the descriptors below.
1–2 Communicates mathematical ideas with limited clarity; little use of correct notation or reasoning.
3–4 Communicates ideas with some clarity; some correct use of notation and reasoning.
5–6 Mathematical ideas are clearly expressed; reasoning is mostly logical and notation is mostly correct.
7–8 Mathematical ideas are communicated effectively and coherently; reasoning is logical and detailed with consistently correct notation.

Assessment Focus

This assessment is designed to strengthen students’ understanding of patterns, algebraic thinking, and mathematical communication.

Students are expected to demonstrate clear reasoning, accurate notation, and logical explanations throughout the task.

Prepared for IB MYP 2 Mathematics classroom assessment practice.