Open the app ↗Heartwing Academy
Explore maths in Year 5 with Gina: large numbers and negative numbers, factors, multiples and efficient calculation, fractions and mixed numbers, and more.
Explore in the Academy →
Place value extends beyond thousands. Negative numbers lie below zero on a number line. Moving right increases the value. The distance across zero can be found by counting to zero and then onward.
Try it: Use a number line to explain a change that crosses zero.
Factors divide a whole number exactly. Multiples are generated by multiplying. A prime number has exactly two positive factors: 1 and itself. One is not prime. Use factor knowledge and partitioning to calculate efficiently.
Try it: Find factor pairs for two numbers and explain which are prime or composite.
A mixed number combines a whole number and a proper fraction. To add fractions, express them in equal-sized parts. An improper fraction has a numerator at least as large as its denominator.
Try it: Show a mixed number with strips and write its equivalent improper fraction.
Percent means out of 100. Fractions, decimals and percentages can express the same proportion. A 10% amount is one tenth, 25% is one quarter and 50% is one half.
Try it: Explain one percentage in words, as a fraction and using a diagram.
Angles on a straight line total 180°, and angles around a point total 360°. Area uses square units; volume uses cubic units. A cuboid’s volume is length × width × height when units match.
Try it: Build a cuboid from equal cubes and compare counting cubes with multiplication.
Convert measurements by using the relationship between units. Timetables describe scheduled times. A graph should have labelled axes and a readable scale. Interpreting information may require more than one step.
Try it: Plan a journey using a timetable and explain the waiting and travelling times.
Angles on a straight line total 180°. Angles around a point total 360°. Use known totals to find missing angles and check whether a diagram is drawn to scale. Appearance alone is not an exact measurement.
Try it: Draw and solve two missing-angle problems.
A percentage means parts per hundred. Common equivalents connect fractions, decimals and percentages. For example, one quarter is 0.25 and 25%. The whole must be identified when finding a percentage of an amount.
Try it: Show three equivalent forms of a familiar fraction.
Graphs represent data using chosen scales and labels. Check equal intervals and whether an axis begins at zero. A graph can show a trend without explaining its cause. Compare values carefully rather than judging bar height alone.
Try it: Make a graph and state one thing it cannot tell you.
Each chapter brings together teaching, an example, practice and a practical discovery. Use the material with discussion and suitable offline activities. Choose a comfortable starting point and revisit explanations as needed.
Open this subject in the Academy for Gina’s explanations, examples and activities. The Academy supports shared learning and practical work; it is not independently certified as a complete home-education curriculum.
Continue in the app →Heartwing AcademyExplore maths in Year 1 with Gina: counting and place value, addition, subtraction and number bonds, sharing and equal groups, and more.
Explore →Heartwing AcademyExplore maths in Year 2 with Gina: tens, ones and ordering, adding and subtracting in steps, multiplication and division, and more.
Explore →Heartwing AcademyExplore maths in Year 3 with Gina: hundreds and place value, addition and subtraction with exchange, multiplication and division strategies, and more.
Explore →