Math Enrichment & Problem Solving
Embedded Files
1. Real-World Ratios
Student-Facing Task:
“Take a recipe for 4 people. Change it so it serves 100 people. Show your math steps.”
Teacher-Facing Task:
Skills: Ratios, scaling.
DOK: 3 (Application).
Tips: Provide recipes or let students bring family favorites.
2. Multiple Solution Pathways
Student-Facing Task:
“Solve one math problem in at least two different ways. Explain which way was easier and why.”
Teacher-Facing Task:
Skills: Problem-solving, efficiency.
DOK: 3 (Strategic thinking).
Tips: Encourage both visual and numerical solutions.
3. Math Debate
Student-Facing Task:
“Decide if this statement is always true, sometimes true, or never true: ‘Fractions are less than one.’ Give examples to prove your answer.”
Teacher-Facing Task:
Skills: Reasoning, counterexamples.
DOK: 3 (Analyze, argue).
Tips: Use number lines, visuals, or manipulatives.
4. Design a Board Game
Student-Facing Task:
“Create a board game that uses math (like multiplication, fractions, or geometry). Write the rules and test it with a partner.”
Teacher-Facing Task:
Skills: Game design, applied math.
DOK: 4 (Create).
Tips: Provide simple materials—dice, paper, tokens.
5. Data Detective
Student-Facing Task:
“Collect data from your class (like shoe sizes or favorite foods). Show it using two kinds of graphs. Explain which one is better for showing the data.”
Teacher-Facing Task:
Skills: Data representation, evaluation.
DOK: 3 (Analyze).
Tips: Introduce bar, line, and pie graphs for comparison.
6. Pattern Generator
Student-Facing Task:
“Create your own number or shape pattern. Write the rule and extend it. Challenge a friend to continue it.”
Teacher-Facing Task:
Skills: Algebraic thinking, patterns.
DOK: 3 (Strategic thinking).
Tips: Encourage both numeric and visual patterns.
7. Backwards Problem Solving
Student-Facing Task:
“Start with the answer 144. Make at least 3 different math problems where 144 is the solution.”
Teacher-Facing Task:
Skills: Problem design, inverse thinking.
DOK: 4 (Create).
Tips: Include multiple operations and contexts (area, multiplication, etc.).
8. Budget Challenge
Student-Facing Task:
“You have $500 to plan a class party. Choose food, decorations, and activities. Stay under budget and explain your choices.”
Teacher-Facing Task:
Skills: Financial literacy, decision-making.
DOK: 4 (Application, synthesis).
Tips: Provide catalogs or online prices.
9. Architecture Math
Student-Facing Task:
“Design a tiny house floor plan using rectangles and triangles. Label dimensions and calculate area and perimeter.”
Teacher-Facing Task:
Skills: Geometry, spatial reasoning.
DOK: 4 (Application, design).
Tips: Allow scaled drawings with graph paper.
10. Math in Nature
Student-Facing Task:
“Find examples of math in nature (like symmetry, spirals, or Fibonacci numbers). Draw or photograph them and explain the math.”
Teacher-Facing Task:
Skills: Math application, observation.
DOK: 3–4 (Analyze, apply).
Tips: Provide reference images if outdoor search isn’t possible.
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