# Core 4 Maths — C4.2 study guide

Use the student lesson for your day. Work on paper as well as in the answer boxes: bars, number lines and equal-group drawings help explain your thinking. Read a hint first if needed, then follow the separate worked example and return to your own question.

## Daily focus

- **Monday:** Count in halves, connect fractions to equal shares, read two-digit numbers and show tens-and-ones jumps.
- **Tuesday:** Count in quarters, recognise complete place-value groups and connect multiplication with division.
- **Wednesday:** Count in eighths, distinguish total ones from a place-position digit and practise missing-number subtraction.
- **Thursday:** Count in thirds, explain the tens digit and place numbers on increasing and decreasing scales.
- **Friday:** Count in fifths, combine number-word practice, number-line calculations and equal sharing.

## Methods to practise

**Fractions:** Keep every whole the same size. A denominator names how many equal parts make a whole. Add the same-sized part at each counting step. To find a fraction of a quantity, share the whole equally first, then take the requested number of shares. If a fraction exceeds a whole, continue onto another equal-sized bar.

**Place value:** Read tens before ones. Practise writing the number words, paying attention to teen and tens spellings. To count complete groups, use the whole number rather than only its place-position digit. Explain a digit’s value as the digit multiplied by the size of its place.

**Ordering and scales:** Compare tens and then ones. Rank from largest to smallest. Read both endpoints before marking a number line; some scales decrease to the right. Divide the span by the number of equal intervals. Count positions from the left endpoint as position zero, and do not confuse tick marks with intervals.

**Addition and subtraction:** Break a change into tens and ones. Draw separate jumps. For a missing amount removed, compare the starting and finishing numbers and check with addition.

**Multiplication and division:** Use one box for each equal group. Skip counting finds positive multiples. A multiplication fact and its reverse divisions belong to one fact family. When sharing, deal into the boxes in turn and check that every group is equal.

## Using the checker

Use a/b for a single fraction and a space for a mixed number. Complete each labelled part separately, not a grand total of boxes. For number-word tasks, type the full English number name: spelling is checked and digit answers are rejected. Capitals, commas, spaces and hyphens do not affect checking. Yes/No read-aloud reflections record practice and are not correctness scores. The worked examples use different numbers; their results are not answers to your questions.

Progress is saved locally in this browser. This is a static, client-side learning tool: its checking data is bundled with the website, not protected by a secret server.