Maths for 5th Class

Extends the base-ten system from whole numbers to decimals to thousandths; builds fluency in reading, writing, partitioning and comparing decimals; introduces percentages and negative numbers.

1. 1 What We Already Know: Place Value to Millions Sample lesson
2. 2 One Whole, Ten Parts: Introducing Tenths
3. 3 Reading Decimals to Tenths and Hundredths
4. 4 Decimals on a Number Line
5. 5 Comparing Two Decimals
6. 6 Ordering a Set of Decimals
7. 7 Decimals to Thousandths
8. 8 Rounding Decimals to the Nearest Whole, Tenth and Hundredth
9. 9 Money and Decimals: €1.20 and €1.02 Are Not the Same
10. 10 Percent as Out of One Hundred
11. 11 Equivalent Fractions, Decimals and Percents: First Walk
12. 12 Equivalent Fractions, Decimals and Percents: on Your Own
13. 13 Negative Numbers: a First Encounter
14. 14 Comparing Positive and Negative Numbers
15. 15 Real-life Decimals: Measuring Our Classroom
16. 16 Module Assessment: What's My Number?
17. Module 1 assessment: Place value and the decimal number system Assessment

Extends the four operations to multi-digit whole numbers and decimals; builds operation flexibility; introduces factors, multiples and prime / composite numbers.

1. 17 Mental Addition Strategies: Partitioning and Compensating
2. 18 Written Addition: Multi-digit Whole Numbers
3. 19 Adding Decimals: Line Up the Points
4. 20 Subtraction Strategies: Counting on, Take Away, Decomposition
5. 21 Subtracting Decimals
6. 22 Multiplication Facts: Unfinished Business
7. 23 Multiplying by 10, 100 and 1000
8. 24 Multiplying a Multi-digit Number by a Single Digit
9. 25 Multiplying Two Two-digit Numbers
10. 26 Dividing by a Single Digit: the Bus-stop Method
11. 27 Division with Decimal Answers: Sharing What's Left
12. 28 Order of Operations: Brackets, Division, Multiplication, Addition, Subtraction
13. 29 Factors, Multiples, Prime and Composite Numbers
14. 30 Operation Toolbox in a Class Trip Plan
15. Module 2 assessment: Operations and computational fluency Assessment

Builds flexible movement between fractions, decimals and percentages; introduces ratio and proportion.

1. 31 What Is a Fraction? Review Part-whole
2. 32 Equivalent Fractions
3. 33 Simplifying Fractions
4. 34 Comparing Two Fractions
5. 35 Ordering a Set of Fractions
6. 36 Adding and Subtracting Fractions with the Same Bottom Number
7. 37 Adding and Subtracting Fractions with Different Denominators
8. 38 Fraction of a Quantity
9. 39 Decimals and Fractions: the Same Thing Two Ways
10. 40 Percent of a Quantity: 10%, 25%, 50%
11. 41 Discount and Increase: €30 Reduced by 20%
12. 42 Ratio: the Basic Idea
13. 43 Sharing in a Ratio
14. 44 Proportion: Scale up the Recipe
15. 45 Module Assessment: Fraction Shop
16. Module 3 assessment: Fractions, decimals and percentages Assessment

Moves from whole-number measures to fractional and decimal measures; develops estimation; introduces area of triangles and composite shapes and volume of cuboids.

1. 46 Estimating Then Measuring: Length
2. 47 Reading Scales to the Nearest Millimetre
3. 48 Converting Length Units
4. 49 Perimeter: Adding Sides Up
5. 50 Area of Rectangles
6. 51 Area of Triangles: Half a Rectangle
7. 52 Composite Shapes: Break It Into Rectangles and Triangles
8. 53 Mass: Weighing in Grams and Kilograms
9. 54 Converting Mass Units
10. 55 Capacity: Measuring Jugs
11. 56 Converting Capacity Units
12. 57 Volume of Cuboids
13. 58 Estimation Across Attributes
14. 59 Solving Real Measurement Problems
15. 60 Design a Class Garden Bed
16. Module 4 assessment: Measures — length, mass, capacity, area, volume Assessment

Reads, writes and reasons about time across 12-hour and 24-hour formats and elapsed-time problems; budgets and reasons about transactions.

1. 61 Reading the Analog Clock to the Nearest Minute
2. 62 24-hour Time
3. 63 Elapsed Time: Counting on Through the Hour
4. 64 Elapsed Time Across Hours and Across Midnight
5. 65 Reading a Timetable: Cork to Dublin
6. 66 Money: Review of Euro and Cent
7. 67 Adding and Subtracting Money: Written and Mental
8. 68 Making Change
9. 69 Comparing Prices: Best Value
10. 70 Building a Class Budget
11. 71 Sale Prices in a Shop: Multi-step Money Problems
12. 72 Plan a School Trip
13. Module 5 assessment: Time and money Assessment

Investigates properties of 2D and 3D shapes; introduces angles, angle sums, circles, compass-and-ruler construction, symmetry, transformations and tessellation.

1. 73 Naming and Sorting 2D and 3D Shapes
2. 74 Nets: Flat to 3D and Back
3. 75 Angles: What Is an Angle?
4. 76 Measuring Angles with a Protractor
5. 77 Drawing Angles with a Protractor
6. 78 Angle Sums in Triangles and Quadrilaterals
7. 79 Parts of a Circle: Centre, Radius, Diameter, Circumference
8. 80 Drawing Circles with a Compass
9. 81 Circumference: Measuring Round Things and Meeting Pi
10. 82 Construction: Triangles from Sides, Bisecting Lines and Angles
11. 83 Symmetry: Lines and Rotational
12. 84 Drawing a Cuboid on Dot Paper
13. 85 Transformations: Translation, Reflection, Rotation and Enlargement
14. 86 Tessellate a Quilt Block
15. Module 6 assessment: 2D and 3D shape, angles, symmetry Assessment

Poses questions; collects, organises and represents data; reasons about chance; introduces scale drawings and the four-quadrant co-ordinate plane.

1. 87 Posing a Question and Tallying the Data
2. 88 Scale Drawings and Scale Maps: Small Drawings of Big Things
3. 89 Bar Charts: Drawing and Reading
4. 90 Bar Charts: Choosing a Scale
5. 91 Pie Charts: First Encounter
6. 92 Mean, Median, Mode and Range: Measures of Centre and Spread
7. 93 Class Survey: Pose, Collect, Summarise, Present
8. 94 Chance: Likely, Unlikely, Certain, Impossible
9. 95 Probability as a Fraction: Out of Total Outcomes
10. 96 Probability as a Decimal and Percentage
11. 97 First Quadrant of the Co-ordinate Plane
12. 98 All Four Quadrants: a First Walk
13. 99 Drawing a Shape from a List of Co-ordinates
14. 100 What Does Our Class Look Like?
15. Module 7 assessment: Data, chance and the co-ordinate plane Assessment

Identifies rules in patterns and expresses them in words, diagrams and letter-symbols; introduces equations and the balance model.

1. 101 Continuing a Pattern: What Comes Next?
2. 102 Describing a Rule in Words
3. 103 Tables of Values: Input to Output
4. 104 Finding the Rule from a Table
5. 105 Letter-symbols: Using a Letter for an Unknown
6. 106 Equality and the Balance
7. 107 Solving Simple Equations: Find the Missing Value
8. 108 Forming an Equation from a Story
9. 109 Two-step Equations: Solving One Step at a Time
10. 110 Investigation: the Staircase Pattern
11. 111 Properties of Operations: Commutative, Associative, Distributive
12. 112 Module Assessment: Pattern Hunt
13. Module 8 assessment: Algebra — patterns, expressions and equations Assessment

Caps the year with open-ended modeling tasks, a five-strand recap, a portfolio review and a class maths fair.

1. 113 End of Year Strands Tour
2. 114 Big Investigation: How Tall Is the School?
3. 115 Class Shop Modeling: Designed by Pupils
4. 116 Plan Our Class Trip: Glendalough or Newgrange?
5. 117 Design a Welcome Poster for Next Year's 5th Class
6. 118 Predict Next Year's School Enrolment
7. 119 Look Back at Your Maths Year
8. 120 Class Maths Fair
9. Module 9 assessment: Mathematical modeling and end-of-year review Assessment