I’ve been doing a Lesson Study this week with 2 colleagues on Place Value with a lower attaining Year 7 group. I might write about that later, but in the meantime, here is one of the resources that we have developed. I think it’s hugely differentiated, fairly low threshold high ceiling task.
In the lesson, I just wrote a few of these on the board. It was something I hadn’t used before so I went away thinking about the range of difficulty in these types of questions and wrote a series of questions here.
Here is a mixture of arithmetic questions to ponder with solutions (or here as a pdf in case the Equation editor in Word messes things up). They are all non-calc although that’s not immediately obvious when you look at them. I used this today with second set Year 9 and they seemed to appreciate that they achieved more than they originally thought they would when I put them all up at once.
Here is an example:
Having been inspired by some ideas from Resourceaholic and also from Robert Wilne @NCETMsecondary here, I thought I’d create these True or False cards for use with Year 7. We have covered fraction of an amount, equivalent fractions, adding fractions, and top heavy / mixed numbers so far, but you could easily adapt these if you want to include, for example, multiplying and dividing fractions. I designed the false ones first which really got me thinking about misconceptions that I think could be occurring. The true ones were relatively straightforward after that. Enjoy!
Here they are as a Word doc: Fractions True False cards And if the formatting looks a bit weird, as a pdf doc: Fractions True False cards
I’ve always felt that secure knowledge of times tables at Year 7 is so important simply because it gives kids the confidence to engage in so many maths topics covered in that year. As such any opportunity to practice is good even when it is in a simple game like this.
A Simple Factors and Multiples Team Game for 3-4 players
I came up with this idea whilst playing the traditional Happy Families card game with my family when on holiday. Kids seem to love this game – could I create a maths game as engaging?
I’ve tried this several times with Year 7 classes, playing in teams of 3 or 4 and they love it.
It takes very little preparation or explanation – in fact the students make the resources themselves!
You need a set of 36 blank cards for each team. Anything will do. I spent about 10 minutes furious chopping on the guillotine for 7 teams, getting 12 cards out of each A4 sheet, so 3 sheets per team, 21 sheets in all.
The learning starts by getting the teams to create their cards using the following instructions:
1, Arrange your cards into 4 columns by 9 rows
2, You need to write the first 4 multiples of each number 2 to 10 so that every card has a number on it.
I put the 36 blank cards and the above on a slip of paper in an envelope and gave an envelope to each team. With a bit of discussion within the teams, they worked out what they needed to do, but if you feel the task needs a bit more scaffolding you could use this diagram:
Once each team has their cards laid out on the table, they can start playing.
- Shuffle the cards and deal them all out.
- The objective is to collect “families” of numbers, e.g. 3,6,9,12 is the 3 family. The player with the most families wins.
- Play starts with the first player asking one of the other players (they decide who) for a particular card, e.g. “Natasha, do you have a 5?” If Natasha has that card, she must hand it over. The first player can ask again (again, they can chose any player). If the answer is no, play moves on to the next player.
- When a player has a family they must lay it face up on the table.
- Play continues until all the cards are gone – it’s that simple!