how often does the letter p occur in:
1.provide 3 squares of equal size, one divided in half, one divided into quarters and one divided into eighths.
discuss the number of equal parts in each square. establish that , and all equal 1 whole.
discuss the pattern - if the numerator is doubled, so is the denominator.
2. divide the class into groups and provide each with a variety of shapes divided into fifths, tenths, eighths, quarters and halves. have groups manipulate the shapes to demonstrate equivalent fractions.
each group records the sets of equivalent fractions they have modelled, then reports back to the class.
3. teacher holds up a fraction card, e.g. ½. students provide an equivalent fraction for ½. ask students what has happened to the numerator and the denominator to make the equivalent fraction in each example.
prompt students to formulate a rule to explain that if the numerator is doubled, so is the denominator.
the rule generated by the students can be placed on a chart in the room.
provide students with a worksheet showing a range of shapes divided into different fractions. students colour a section/sections of each shape.
colour wholes in the form of , , etc.
students provide equivalent fractions of a given fraction, e.g.
students fill in missing numerators and denominators in mixed format, e.g.
repeat activities for thirds, sixths and twelfths.
the following activities involve students working in small groups or pairs to complete a game. concrete materials can help students to develop a sound understanding of the concepts required when calculating with fractions.
students play in two teams. the teacher turns over a card and the team decides where to move the post-it note along the fraction track. more than one post-it note can be moved, as long as the total of the fraction card is not exceeded.
the first team to move all post-it notes to the end of the track wins.
2. play the game coloured fractions. coloured fractions may be played as a whole class activity, in pairs or small groups.
this activity links closely with the stage 3 crossing the wall activity described on page 52 of fractions, pikelets and lamingtons.
take turns to throw the dice. colour in the equivalent of the fraction represented by the dice. record each fraction as the game is played. the first pair to colour the entire game board is the winner.
at the completion of the game, students add the fractions to check that they total 6.
students complete activities using a decimal double number line folded along the middle so that only the side showing the end points is visible.
place a paper clip on the folded double number line to estimate the position of a given number. students justify the position for their number.
flip over the number line to check their estimation.
for example, ask students to estimate the position of 0.6.
find a simple fraction of a quantity where the result is a whole number, with and without digital technologies. acmna125: compare fractions with related denominators and locate and represent them on a number line.
aspect 6: fraction units: reforms the whole.
aspects of speaking, cluster 11, marker 5: uses active listening strategies such as rephrasing ideas and clarifying and repairing breakdowns in communication.
pick-a-path: with the new pick-a-path mobile app, students can learn about integers, exponents, fractions, decimals, and more! navigate with okta the octopus from top to bottom–adding, subtracting, multiplying and dividing as you go–to get the maximum, the minimum, or a target number by the time okta reaches the bottom of the maze.
fraction factory: enter the fraction factory and use your math skills to place fractions into their correct positions on a number line. when the game begins, fraction gears will move across the screen on a conveyor belt. use your finger and drag the fraction gear to where you think they should go on the number line at the top of the screen.
user
The text includes 77 "p"s in total.
assistant