Year 7 Favourites

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Learning Intention: Students will understand how to collect data using a tally and create a frequency table and bar graph using the data. They will understand how to convert fractions to decimals and percentages. They will create a pie chart using this data by converting 100% to 360 degrees.

Success Criteria: Each student will produce a poster that includes a frequency table (including fractions, decimals and percentages), bar graph and pie chart of their chosen data, collected from the Year 7 Maths Survey.

  1. First collect your data in tally form.
  2. Add each category and find the total.
  3. Represent each category as a fraction.
  4. Convert to a decimal (2/25 = 16/100)
  5. Convert to a percentage 16/100 = 16%
  6. Create a bar graph using this data
  7. Remember to add SALT to your graph – Scale, Axes, Labels, Title
  8. Turn your bar chart into a pie chart (multiply percentage by 3.6 because 100% = 360 degrees)
  9. Make sure you have a key to interpret your data.
  10. Add a beautiful title and colour to present your poster.
  11. Go to Create-A-Graph and use your data to check that your graphs are correct.
  12. Print out the computer generated graphs to add to your poster.

Barbie figures and ratio

Learning Intention: Students will understand how to calculate and simplify ratios using body measurements as an example.

Success Criteria: Students will be able to correctly estimate the ratio of various body proportions, using average class data.

Do you think that “Barbie” dolls portray a realistic image of a human figure? What about “Bratz” dolls and Manga figures? What is it about these figures that make them so appealing to children? We are going to investigate the proportions of “Barbie” dolls and other figures to compare their ratios with the average year 7 student from Hawkesdale college. We now have the data that gives us some average measurements of height, head circumference, arm and leg length and chest, waist and hip measurements of the average student in our class.

  • As you can see from the figure above, “Barbie” has a head to height ratio of 4 to 28cm or 1:7.
  • Her leg to height ratio is 14cm to 28cm or 1:2.
  • Her neck to height ratio is 2cm to 28cm or 1:14.
  • Her head circumference is larger than her waist circumference.
  • Her foot length to leg length is 2cm to 14cm, so, 1:7.

Calculate the same ratios for the average Year 7 student, using our data. What can you conclude?

Bill Genereux has written a terrific post about the proportions of superheroes, from a book that teaches people how to draw comic book heroes. Malyn Mawby has also written a great post about using Da Vinci’s “Vitruvian Man” to learn about ratio and proportion.

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Adding and subtracting fractions

Image is a screenshot from the Cool Math 4 Kids site.

When adding or subtracting fractions the first thing you need to do is make sure that the denominators (bottom numbers) are the same. If all the denominators are the same you can simply add or subtract the numerators (top numbers) and then simplify the answer if required. If the denominators are different, you need to find a common multiple and convert both fractions, so that the denominators are the same. Activities 4 and 5 below show how this is done:

1. Adding Fractions from Cool Maths 4 Kids.

2. Three simple steps to adding fractions from “Maths is Fun”.

3. BBC Bitesize – fractions activities – Choose the fractions activities from BBC Bitesize (Equivalent fractions and ordering and comparing fractions).

4. Adding fractions with different denominators from “Maths Playground”.

5. Adding fractions with different denominators from YouTube – Maths Made Simple Series.

Equivalent fractions

Learning intention: Students will be able to identify and name equivalent fractions (halves, thirds, quarters, fifths and sixths) and describe how they are calculated.

Success criteria: Students will successfully identify equivalent fractions on their fraction walls and name equivalent fractions on a number line.

Maths Playground – Visual fractions (the visuals are good, but the program doesn’t always allow the right answer?)

Maths is Fun – Equivalent fractions

Maths Games – Matching equivalent fractions

Square numbers, square roots and Multo

Problem solving strategy board from Maths300

Over the last few weeks you have learned about the following concepts:

  • numbers less than zero, called negative numbers
  • factors
  • multiples
  • prime numbers (only two factors, one and themselves)
  • Composite numbers (any number with more than two factors)
  • Square numbers (numbers with an odd number of factors)
  • Square root (the symbol over a number that indicates you calculate the number that is multiplied by itself to get the original number)

We played the game “Multo” which helped to consolidate your knowledge of number facts and made you think about which numbers were most frequently called (common multiples and not prime numbers greater than 7).

Remember you can access Mathsmate Skill Builder sheets at their website if you need help with your Mathsmate. You should also be accessing Mathletics to complete three activities each week. I have found that the Google Chrome or Mozilla Firefox browsers seem to access Mathletics from home better than Windows Explorer.

Multiples, Factors and Primes

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Learning Intention: Students will understand what Multiples, Factors and Prime Numbers are and why they are useful.

Success criteria: Students will be able to recognise multiples, factors and prime numbers and calculate the Highest Common Factors (HCF) and Lowest Common Multiples (LCM) of given numbers.

Fractions Apps on the iPad

Learning Intention: This lesson we will be using three different apps on the iPads to learn about the value of fractions, decimals and percentages.

Success Criteria: Students will understand the value of common fractions (1/2, 3/4, 1/3, 2/3 etc) and be able to order a list of common fractions, decimals and percentages.

1. Motion Math HD – Bounce the fraction ball at the corresponding point on the number line by moving the iPad (10 minutes).

2. Fraction Factory – Move the factory cog to the correct point on the number line (10 minutes).

3. Number Line – Order the fractions, decimals and percentages from smallest to largest (10 minutes).

Please leave a comment below about which app you liked best, why you liked it and what you learnt.

Decimal Place Value

Today we completed an exercise where you needed to circle the decimal number with the highest value. Some of you found this really easy and have an excellent understanding of decimal place value. Some students will need to work on this skill by following the links below and completing the interactive activities on those two sites. Just remember that you can add as many zeros to the last digit of a decimal number and it does not change the value of that decimal.

Decimal Place Value at AAAMath

Pre-Algebra lessons at CoolMath

Prime Numbers and Factors

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Today we are going to use Erastothene’s Sieve to find the prime numbers up to 100. You will use the “Count By” app on the iPods or iPads or your netbook with the interactive 100 chart program. Color in the corresponding numbers on your paper 100 chart.

Prime numbers are numbers with exactly two factors – you can divide a prime number by one or itself, but no other number, to get a whole number. The number one only has one factor, so it is not a prime number. So, 2 and 3 are the first two prime numbers. 4 is not a prime number because it has three factors (1, 2 and 4). Circle the prime numbers on your paper chart and stick it firmly in your work book to refer to later.

Welcome to Year 7 Maths 2012!

 

Welcome to our five new students from other primary schools and welcome back to the Year 7 class of 2012. This year we will use several different resources to support our maths learning:

We are starting with a unit of work on whole numbers – place value, basic operations, indices and square roots, order of operations, multiples, factors and prime numbers. We may have the opportunity to use the iPads with an app called “CountBy”, which is illustrated above. You can use this 100 square grid to create an “Erastothene’s Sieve”, which allows you to find the prime numbers under 100.