Teaching and Group Activities for Understanding
Day 1 Teaching
Use an interactive 1–100 square. Shade 1/100 and the 1/10. Use shading to show that 1/100 = 10/100, 1/10 = 10/100, etc. Then show that 5/10 = 50/100 = 1/2, 25/100 = 1/4, 1/5 = 2/10 = 20/100 etc. 1/8 is half 1/4 or 0.125. Find 2/8, 3/8, 4/8, 5/8, 6/8, 7/8 as decimals.
-- Mark halves, quarters, fifths, tenths and eighths, and the equivalent decimals on a 0 to 1 line marked in 0.1s.
Day 2 Teaching
Use a fraction wall to show equivalent fractions. Draw out that if we multiply the numerator and denominator by the same number we derive an equivalent fraction. Demonstrate how we use this to simplify fractions.
Use the in-depth problem-solving investigation ‘Rod Fractions’ from NRICH as today’s group activity.
Or, use these activities:
-- Use 1–12 (to 1–24) cards to make fractions, and simplify to earn points.
-- Write fractions equivalent to 1/4, then use equivalence to identify fractions less than ¼, and write fractions greater than 1/4.
Day 3 Teaching
Write 2/3 and 3/4. Which is the bigger fraction? But can children prove it? Show how we can change both to twelfths to compare. Use common multiples to compare 1/2 and 3/5, then 1/6 and 2/9.
-- Use a fraction wall to help write fractions as the same type of fractions in order to compare them.
-- Use cards 1 to 6 to make pairs of fractions, both less than 1. Use equivalence to compare them.
-- Equivalent fractions challenge.
Day 4 Teaching
There are 135 animals in a rescue centre. 1/5 are cats, 3/5 are dogs and the rest are ponies. How can we work out the number of cats? Suggest children use short division to find 1/5 of 135 on their whiteboards. Record: 27 cats. Find the number of dogs and ponies.
-- Use the bar model to help solve word problems which involve finding non-unit fractions of amounts.
-- Play fractions of amounts bingo.