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### Algebra

**Y5/Y6**** Mathematical Mysteries**

Solving equations using the bar model.

**Spot the rule**

Counting sequences

### Algebra

**Day 1**

Y5: Identify functions and write outputs in terms of *n*.

Y6: Write and use simple formulae.

**Day 2**

Y5: Solve equations, including bar model and geometry examples.

Y6: Solve equations, including bar model and geometry examples; list solutions for equations with two unknowns.

**Day 3**

Y5: Complete sequences by deducing their step increase/ decrease.

Y6: Find the 10th, 100th then *n*th term for sequences.

**Day 4**

Y5: Draw the next ‘Y’ or ‘V’ shape in a sequence. Find a relationship between the number of shapes in the pattern and its position in the sequence.

Y6: Draw the next ‘spinner’/ ‘staircase’ in a sequence. Find a relationship between the number of shapes in the pattern and its position in the sequence.

### Ratio

**Day 1**

Y5/Y6: Scale a pizza recipe to make different numbers of pizzas.

**Day 2**

Y5: Identify ratios; shade rows of squares to given ratios.

Y6: Shade squares within rectangles to given ratios.

**Day 3**

Y5: Divide increasing numbers of flower bulbs, while maintaining the same proportion of each.

Y6: Write equivalent percentages for given fractions; calculate percentages of amounts

### Rehearsing & understanding times tables

**In-depth Investigation: Mystery Age**

Y3: Children use their knowledge of the 3, 4, and 5 times tables to work out mystery numbers.

Y4: Children use their knowledge of the 5, 6, and 8 times tables to work out mystery numbers.

### Algebra

**In-depth investigation: Stars and Crosses**Children find totals of the numbers in shapes on a 1–1 00 grid, make generalisations and then write a formula to find the total of any similar shape on the grid.

A presentation is available to guide children through the investigation.

### Ratio

**Y5/Y6**

**Car wash**

Exploring dividing money in 3:1 and 3:2 ratios.

**Y6**** The Key to Percentages**

Finding simple percentages of amounts (1%, 10%, 25% and 50%).