Mathematics
Intermediate
50 mins
Teacher/Student led
+75 XP
What you need:
IWB/Projector/Large Screen

End-of-year Strands Recap: Five-strand IWB Tour

Tour the five maths strands you studied this year—number, measures, shape, data and algebra—by revisiting one key example from each, then spot where the same maths idea appears in more than one strand.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    We have a whole wall of maths to look back on this year: number, measures, shape and space, data and chance, and algebra. Which of these five do you remember the most clearly? Was it the one you found easiest, the one you enjoyed, or the one that finally made sense one day?

    Today we take a quick tour back through one big idea from each one.

    2 - Watch and Notice ~10 mins

    For each strand we will look at its key example. A key example is the one example that sums up a strand, the one you go back to when you want to remember the big idea.

    Number: 0.345

    Watch as we build 0.345 on the place-value mat. Look at the three columns after the point. What does each digit stand for? Tell me what the 5 in the last column is worth before we move on.

    Measures: 1 km in millimetres

    Now watch the conversion ladder. We start at 1 km and step all the way down to millimetres. Notice how each step is a times-ten step, the same idea we used in number. How many steps did we take?

    Shape: lines of symmetry

    Here is a shape with its fold-lines drawn in. This shape has exactly two lines of symmetry: one straight up and down, and one straight across. Look at where the two halves match exactly.

    Data: a bar chart

    This bar chart shows the totals from a class survey. Which way of getting to school is the most common? Notice how each bar's height tells the story.

    Algebra: 2x + 3 = 11

    Last, the balance scales show 2x + 3 = 11. To find x, we take 3 off both sides, so 2x = 8. Then we halve both sides, so x = 4. Watch the beam settle level when x is 4.

    3 - Try It Together ~9 mins

    Now we'll take a slower turn through each of the five strands together. A different pupil comes up to drive the tool for each strand on the board while the rest of the class predicts what it will show and calls out the answer to check, about two minutes per strand.

    Number: 0.345

    A pupil builds 0.345 on the place-value mat and reads each column after the point. The class says what each digit is worth, ending with the 5 in the last column.

    Measures: 1 km in millimetres

    A pupil steps the conversion ladder from 1 km down to millimetres. Predict first: each step is times ten, so how many millimetres is 1 km?

    Shape: lines of symmetry

    A pupil shows the fold-lines on the shape. The class counts the lines of symmetry and checks each half matches exactly.

    Data: a bar chart

    A pupil reads the bar chart. Which way of getting to school is the most common? Read the tallest bar to check.

    Algebra: 2x + 3 = 11

    The balance scales show 2x + 3 = 11. Work the two moves on the board: take 3 off both sides to leave 2x = 8, then halve both sides to get x = 4. The beam settles level when x is 4.

    4 - Write One Line Per Strand in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write one line for each strand with its key fact. Use these five headings, one under the other:

    • Number: 0.345 is three tenths, four hundredths, five thousandths
    • Measures: 1 km is 1,000,000 mm
    • Shape: this shape has two lines of symmetry
    • Data: the tallest bar tells the most common answer
    • Algebra: 2x + 3 = 11 means x = 4

    When you have all five, underline the strand you found stickiest this year.

    5 - Class Challenge ~8 mins

    Pick three of the five strands. For each one you choose, work one challenge from that strand on paper, starting with the easier one and building to the trickier one. Show your working so you can talk it through afterwards. Every strand below has an easy challenge and a harder one.

    Choose three strands and complete one challenge from each, working from the easier one to the harder one. Every strand has both.

    1. Number (easy): order 0.7, 0.07 and 0.77 from smallest to biggest.
    2. Number (harder): write a decimal that sits between 0.7 and 0.77.
    3. Measures (easy): how many metres are in 3.5 km?
    4. Measures (harder): how many centimetres are in 3.5 km?
    5. Shape (easy): how many lines of symmetry does a square have?
    6. Shape (harder): draw a shape with exactly two lines of symmetry.
    7. Data (easy): a bar chart shows Walk 12, Bus 8, Car 3 — which is the most common?
    8. Data (harder): how many more pupils walk than come by car?
    9. Algebra (easy): find x if x + 5 = 12.
    10. Algebra (harder): find x if 2x + 1 = 9.

    Ways to start:

    • Number (easy): write 0.7, 0.07 and 0.77 in order from smallest to biggest.
    • Measures (easy): change 3.5 km into metres.
    • Shape (easy): draw a square and mark all of its lines of symmetry.
    • Data (easy): a bar chart shows Walk 12, Bus 8, Car 3 — which is the most common?
    • Algebra (easy): find x if x + 5 = 12.

    Stretch:

    • Number (harder): write a decimal that sits between 0.7 and 0.77.
    • Measures (harder): change 3.5 km into centimetres.
    • Shape (harder): draw a shape with exactly two lines of symmetry and mark them.
    • Data (harder): for that bar chart, how many more pupils walk than come by car?
    • Algebra (harder): find x if 2x + 1 = 9.
    Answers & strategies (teacher)
    1. Number (easy): order 0.7, 0.07 and 0.77 from smallest to biggest. — 0.07, 0.7, 0.77
    2. Number (harder): write a decimal that sits between 0.7 and 0.77. — any value such as 0.72 or 0.75
    3. Measures (easy): how many metres are in 3.5 km? — 3,500 m
    4. Measures (harder): how many centimetres are in 3.5 km? — 350,000 cm
    5. Shape (easy): how many lines of symmetry does a square have? — 4
    6. Shape (harder): draw a shape with exactly two lines of symmetry. — for example a (non-square) rectangle, with one vertical and one horizontal line
    7. Data (easy): a bar chart shows Walk 12, Bus 8, Car 3 — which is the most common? — Walk
    8. Data (harder): how many more pupils walk than come by car? — 9 more pupils
    9. Algebra (easy): find x if x + 5 = 12. — x = 7
    10. Algebra (harder): find x if 2x + 1 = 9. — x = 4

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Where did you spot the same maths idea showing up in two different strands? Did the times-ten rule from number turn up anywhere in measures? Did counting in equal parts show up in both shape and data?

    7 - What's Next ~3 mins

    What we did today

    • We toured one key example from each of the five strands: number, measures, shape, data and algebra.
    • We saw the times-ten rule connect number and measures.

    Coming up

    Coming up

    Next we put several strands together in a big open investigation, where you choose how to combine the ideas you have collected this year.

    Pupil practice
    Module 9 · Mathematical Modeling and End-of-year Review Mixed
    Lesson 113 · End-of-year Strands Recap: Five-strand IWB Tour
    Download Activity Book page (PDF)
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