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Fractions, Decimals and Percents Mini-course. Session Three. Review Fraction worksheets from last week’s session. BLM 11. Review Fraction worksheets from last week’s session. BLM 12. Bringing It Home 2.
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Fractions, Decimals and Percents Mini-course Session Three
Bringing It Home 2 • At your tables, discuss activities from the suggested list that you did with your children during the week. • Any observations or discussions you had with your family related to fractions?
Fraction Problems I • At your tables, discuss solutions to the problems, and write out at least one to share with larger group.
Objectives of Session 3 • To maintain a positive tone for the class by promoting conversation and success with mathematical endeavors. • To use pattern blocksas a manipulative for illustrating fraction concepts. • To explore the fraction concepts of equivalence, mixed numbers, and the relationship between fractions and division. • To introduce participants to NCTM Number and Operation Standard
Exploring with Pattern Blocks • It is important to be able to visualize fractions in a variety of ways. • Last week color tiles were used. • This week pattern blocks will be used. Pattern Blocks- you will need: • 6 yellow • 6 red • 9 blue • 12 green
Let’s Explore • Consider the hexagon as a whole unit. • What Fraction do each of the other colors represent? • How many redtrapezoids make up a hexagon? • How many bluerhombuses make up the hexagon? • How many greentriangles make up the hexagon?
Equivalent Fractions • What name is given to the space occupied by two blue blocks? (Are there two equivalent names?) • What about a red and blue block together? • What about 2 yellow, 1blue, and 1 green? • Show how you came up with the name of the fraction using your pattern blocks
A random handful…. • Pick a random handful of pattern blocks • How many whole units (hexagons) do you have? • Describe the leftovers using a fraction. How did you justify its name? Try it a couple more times!
Sharing fraction ideas… • At your tables, share what you have seen so far through the use of pattern blocks. • The purpose of manipulatives is to clarify important mathematical ideas.
Sharing Cookies… • Share 2 cookies (hexagons) evenly among 3 people. What fraction is each person’s share? • Share 5 cookies among 2 people. What is each person’s share?
Sharing Cookies…BLM 16 • Pull out BLM 16 • Act out cooking sharing. • Look for generalizations & patterns. • Write out solutions with markers (easy to read). • We’ll share solutions on overhead after about 15 minutes.
Varying the whole…BLM 17 • What if the rhombus was now the whole instead of the hexagon? --What would the value of all the pieces be now? • What if the green triangle was the whole? • Continue with chart, and note that the last 3 rows starts with a fraction for a shape! Any volunteers to explain? We can do this! Yes we can!
NCTM Number and Operation Standard • During grades 3–5, students should build their understanding of fractions as parts of a whole and as division. • They will need to see and explore a variety of models of fractions, focusing primarily on familiar fractions such as halves, thirds, fourths, fifths, sixths, eighths, and tenths. • By using an area model in which part of a region is shaded, you can see how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions.
Reflection • What new mathematical idea have you learned as a result of tonight's session? • How have the color tiles, pattern blocks and fellow participants helped your understanding of fractions? • Bringing it home 3 – Fraction Problems II Come prepared to share your responses next week. Keeping Building Knowledge!!! See you next week.