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Fractions and Coordinates

Maths • 60 • 30 students • Created with AI following Aligned with National Curriculum for England

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Maths
60
30 students
11 October 2025

Teaching Instructions

Create a detailed 3-week weekly numeracy planner for Primary 5 students in Northern Ireland based on Busy Ants 4A Units 2 and 3. Focus on equivalent and non-unit fractions, translation, and plotting. Include 4 lessons per week with WALT (We Are Learning To) statements, success criteria, and active learning strategies using visual aids, manipulatives, and scaffolding. Provide differentiation strategies for diverse learners and extension tasks for advanced learners. Include practice questions, problem-solving, and games within the lessons. Also generate 3 sets of differentiated worksheets aligned with the weekly topics, including scaffolding and extension activities for each worksheet. Format for a hands-on, engaging teaching style consistent with active learning.


Weekly Numeracy Planner Overview

Year Group: Primary 5
Curriculum: Northern Ireland Curriculum – Mathematics and Numeracy
Units: Busy Ants 4A Units 2 & 3
Duration: 3 weeks, 4 lessons/week, 60 minutes/lesson
Class Size: 30 students
Focus: Equivalent and non-unit fractions, translation, plotting on coordinate grids
Approach: Hands-on, active learning with manipulatives, visual aids, problem-solving, games, scaffolding, and differentiation
Cross-curricular skills: Using Mathematics: Number, Measures and Shape (Levels 3 and 4 strands)


Week 1: Equivalent and Non-Unit Fractions

Curriculum Links

  • Learning Area: Number and Algebra
  • Strand: Fractions, decimals and percentages
  • Level: Level 3 (P5)
  • Learning Outcomes:
    • Recognise, represent, and order fractions, including equivalent fractions.
    • Understand unit and non-unit fractions and demonstrate knowledge by comparing and simplifying fractions.
    • Use visual fraction models, number lines, and manipulatives to compare, add and subtract fractions.

Lesson 1: Introduction to Equivalent Fractions

WALT: Understand and identify equivalent fractions.
Success Criteria:

  • I can use fraction strips to find fraction pairs that are equal.
  • I can explain why two fractions are equivalent using models.
  • I can write equivalent fractions in simplest form.

Active Learning Strategies:

  • Use fraction strips to explore equivalence actively in pairs and small groups.
  • Interactive whiteboard demonstration for visual representation.
  • Hands-on matching game with fraction cards to pair equivalent fractions.

Differentiation:

  • Support: Use physical fraction circles for tactile learners to build fractions.
  • Challenge: Introduce improper fractions and mixed numbers for comparison.

Extension:

  • Create and explain equivalent fractions with denominators up to 20.
  • Investigate fractions equivalent to ½, ⅓ and ¼ on number lines.

Practice Questions:

  • Find two fractions equivalent to ⅔.
  • Are 4/6 and 2/3 equivalent? Explain your answer.
  • Represent 3/4 and an equivalent fraction on a number line.

Lesson 2: Non-Unit Fractions and Comparing Fractions

WALT: Compare and order non-unit fractions using visual models.
Success Criteria:

  • I can identify non-unit fractions.
  • I can compare fractions with different numerators and denominators using fraction strips and number lines.
  • I can order a set of fractions from smallest to largest accurately.

Active Learning Strategies:

  • Group card-sort activity ordering non-unit fractions.
  • Use number lines and fraction strips to compare fractions visually.
  • Introduce the concept of least common denominators via practical fraction puzzles.

Differentiation:

  • Support: Use visual aids with denominators no larger than 10.
  • Challenge: Compare fractions with different denominators using least common multiples.

Extension:

  • Create problem-solving sequences involving addition or subtraction of non-unit fractions.

Practice Questions:

  • Order from smallest to largest: 3/5, 2/3, 5/6
  • Use fraction strips to find which is larger: 4/7 or 3/5?

Lesson 3: Adding and Subtracting Fractions with Same Denominators

WALT: Add and subtract fractions with the same denominator.
Success Criteria:

  • I can add fractions with the same denominator using fraction strips and diagrams.
  • I can subtract fractions with the same denominator accurately.
  • I can solve word problems involving addition and subtraction of fractions.

Active Learning Strategies:

  • Hands-on adding/subtracting fraction strips in pairs.
  • Solve real-life fraction problems on whiteboards in small groups.
  • Game: Fraction Race (Board game format) where students add or subtract fractions to move forward.

Differentiation:

  • Support: Concrete manipulatives for visualising addition/subtraction.
  • Challenge: Introduce addition and subtraction of mixed numbers linked to real-life contexts.

Extension:

  • Investigate adding fractions with different denominators using visual strategies.

Practice Questions:

  • 5/8 + 2/8 = ?
  • 7/10 - 3/10 = ?
  • Mia ate 3/8 of a pizza and her brother ate 1/8 more. How much did they eat altogether?

Lesson 4: Consolidation and Problem-Solving

WALT: Apply understanding of equivalent and non-unit fractions to solve problems.
Success Criteria:

  • I can solve word problems involving equivalent fractions.
  • I can compare and order fractions to help solve problems.
  • I can explain my reasoning clearly to a peer.

Active Learning Strategies:

  • Group problem-solving challenges using worked examples and manipulatives.
  • Peer-teaching activities to explain fraction concepts.
  • Create Fraction Posters: Represent equivalent fractions creatively with drawings and explanations.

Differentiation:

  • Support: Provide structured problem-solving frames.
  • Challenge: Multi-step problems involving fractions in unfamiliar contexts.

Extension:

  • Design your own fraction story problem and solve it.
  • Explore real life uses of fractions (e.g., cooking, shopping).

Week 2: Translation and Plotting on Coordinates

Curriculum Links

  • Learning Area: Shape and Space
  • Strand: Position and Movement
  • Level: Level 3 (P5)
  • Learning Outcomes:
    • Describe translations on a coordinate grid.
    • Plot points in the first quadrant and understand ordered pairs (x, y).
    • Recognise and describe movements in terms of units left/right and up/down.
    • Solve problems involving plotting and translation of shapes.

Lesson 1: Introduction to Coordinates and Plotting Points

WALT: Understand and plot points in the first quadrant using coordinates.
Success Criteria:

  • I can explain what coordinates mean (x, y) and identify the x- and y-axis.
  • I can locate and plot points correctly on a 5x5 grid.
  • I can read coordinates from a grid accurately.

Active Learning Strategies:

  • Use large floor grids and have students physically stand on points.
  • Use interactive boards to plot points interactively.
  • Small group partner quizzes: “Plot the point” and “Guess my coordinate”.

Differentiation:

  • Support: Use smaller grids (3x3) for initial practice.
  • Challenge: Plot points in a 10x10 grid and create coordinates from pictures.

Extension:

  • Plot points that form a shape and describe its coordinates.
  • Explore plotting in four quadrants (introductory level).

Practice Questions:

  • Plot (2, 3), (4, 1), (1, 5) on a grid.
  • What is the coordinate of the point at 1 square right and 4 squares up?

Lesson 2: Understanding Translation on Grids

WALT: Describe and perform translations on coordinate grids.
Success Criteria:

  • I can explain that translation moves a shape a certain number of squares left/right and up/down.
  • I can show translations using arrow cards and grid work.
  • I can describe movements using correct mathematical language.

Active Learning Strategies:

  • Use paper shapes and arrow cards to translate shapes on a classroom grid board.
  • Partner activity: “Give Directions” (student A moves shape, student B describes motion).
  • Use colour-coded sticky notes on personal mini-grids for individual translation practice.

Differentiation:

  • Support: Translate small 1-2 square movements.
  • Challenge: Translate shapes with combined moves (e.g., 3 right, 2 down).

Extension:

  • Discover rules for translating coordinates algebraically (e.g., (x, y) → (x+3, y-2)).

Practice Questions:

  • Translate a triangle 2 right and 1 up. What are the new coordinates?
  • Move a rectangle 3 left and 2 down. Where does it end?

Lesson 3: Plotting and Translating Shapes – Problem-Solving

WALT: Apply plotting and translation skills to solve problems.
Success Criteria:

  • I can correctly plot shapes using coordinates.
  • I can translate shapes and predict their new position.
  • I can solve word problems involving translation and plotting.

Active Learning Strategies:

  • Puzzle challenge: Given coordinates plot shapes and translate based on instructions.
  • Use whiteboards for quick plotting and translation demonstrations.
  • Group work: Create and solve coordinate grid riddles involving translations.

Differentiation:

  • Support: Use printed coordinate grids with shapes pre-plotted.
  • Challenge: Create compound translations and reverse translations.

Extension:

  • Create your own shape, plot it, and translate it. Present to the class.

Practice Questions:

  • Plot the points (1,1), (3,1), (3,3), (1,3). Translate the shape 2 right and 2 up.
  • A shape is translated 4 left and 1 down. What are the new coordinates of (6, 5)?

Lesson 4: Consolidation and Active Games

WALT: Consolidate coordinate plotting and translation through games and group challenges.
Success Criteria:

  • I can confidently plot points and translate shapes in a game format.
  • I can communicate instructions and solutions clearly.
  • I can work with my peers to solve problems mathematically.

Active Learning Strategies:

  • “Coordinate Battleships”: Students plot ships and guess opponent points on grids.
  • Team relay race for plotting and translating shapes on classroom grid.
  • Create a “Coordinate Art” challenge by plotting and colouring shapes after translation.

Differentiation:

  • Support: Simplify grids and instruction cards.
  • Challenge: Encourage use of positive and negative coordinates (introductory level).

Extension:

  • Invent your own coordinate game focusing on translations and plotting.

Week 3: Integration and Assessment Week


Weekly Review Activities and Assessment

  • Use a combination of practical tasks, games and individual worksheets completed in class.
  • Peer self-assessment using success criteria checklists.
  • Teacher observations for progress on skills.
  • Classroom quiz to test knowledge on equivalent fractions, non-unit fractions, and plotting/translations.

Differentiated Worksheet Sets (for Weeks 1, 2 and 3)

Worksheet Set 1: Fractions

  • Emerging: Identify and colour equivalent fractions with scaffolded hints, simple comparisons with visual fraction models.
  • Expected: Identify equivalent fractions, compare and order non-unit fractions, simple addition/subtraction with same denominator.
  • Extended: Find equivalent fractions with larger denominators, add and subtract mixed numbers, solve multi-step word problems.

Worksheet Set 2: Coordinates and Translation

  • Emerging: Plot points on 3x3 grids, match coordinate pairs, translate shapes with 1-step moves.
  • Expected: Plot points on 5x5 grids, describe and perform translations with 1-3 steps, basic shape plotting.
  • Extended: Plot points on 10x10 grids, apply combined translations, create own shape and describe translations in coordinates.

Worksheet Set 3: Mixed Practice and Problem Solving

  • Emerging: Identify shapes, colours and simple fraction problems from visual cues.
  • Expected: Solve word problems integrating fractions and coordinates, translate shapes and check coordinates correctly.
  • Extended: Multi-step puzzles including fraction addition/subtraction and coordinate plotting with descriptions.

Additional Notes for Teachers

  • Visual Aids: Use large fraction walls, number lines, and laminated coordinate grids for repeated use.
  • Manipulatives: Fraction strips, counters, coloured paper shapes, arrow cards for translation.
  • Scaffolding: Step-by-step guidance, sentence starters for explaining reasoning, use of prompts/questions.
  • Assessment: Formative through observation, questioning, and checklists; Summative through weekly quizzes and worksheets.
  • Inclusive Learning: Small group support, peer mentoring, use of ICT for interactive activities for all learners including EAL and SEN.
  • Extension: Encourage reasoning and explanation, related real-life problems, early algebraic thinking with translations.

This detailed plan ensures that all learning objectives are aligned with the Northern Ireland Curriculum, promotes active and hands-on learning consistent with your teaching style, and includes scaffolded differentiation and extension activities for a class of diverse learners. The use of games and manipulatives will keep students motivated and engaged throughout.

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