FRACTIONS AND DECIMALS

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Presentation transcript:

FRACTIONS AND DECIMALS Unit 5 FRACTIONS AND DECIMALS

KEY WORDS Fraction

Student outcome: I know what a fraction is LESSON #1 Student outcome: I know what a fraction is A fraction is a number that stands for part of something. Usually a fraction represents one of the following: A number representing part of a set of items. A number representing part of a whole. Fraction Explaination http://www.coolmath4kids.com/fractions/fractions-01-what-are-they-01.html http://www.learnalberta.ca/content/memg/index.html?term=Division02/Fraction/index.html Fraction Interactive

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Equivalent Fractions: fractions that are “equal” http://www.coolmath4kids.com/fractions/fractions-04-equivalent-01.html Page 167 – Connect (students will use colored counters to create = fractions) What fraction can you find for green squares? How many equivalent fractions can you find for green squares? Answer: 6/12 Answer: 3/6, 2/4, 1/2

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions With counters how many equivalent fractions can you find for orange? 3/9

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions With counters how many equivalent fractions can you find for orange? 4/10

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions With counters how many equivalent fractions can you find for orange? 10/15

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Equivalent Fractions: fractions that are “equal” How many equivalent fractions can you find for blue? Answer: 2 5/20, 1/4 Do you notice a pattern from the equivalent fractions?

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Equivalent Fractions: fractions that are “equal” How many equivalent fractions can you find for blue? Answer: 3 8/16, 2,/4, 1/2 Do you notice a pattern from the equivalent fractions?

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Using counters find equivalent fractions for: 12/16 4/16 5/20 Do you notice a pattern from the equivalent fractions?

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions What fraction does each diagram show for blue? What pattern do the fractions show?

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions What pattern do you see happening to the numerator and denominator? 3 9 2 20 7 35 4 12 8 80 10 50

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Equivalent Fractions Interactive Equivalent Fractions Game http://www.interactivestuff.org/sums4fun/efrac1.html Equivalent Fractions Video http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=4 http://www.learnalberta.ca/content/memg/index.html?term=Division02/Equivalent_Fractions/index.html

Student outcome: I can find patterns in equivalent fractions LESSON #1 Student outcome: I can find patterns in equivalent fractions Assignment Student Practice Book: Page 68-69 Textbook: Page 168 – 169 # 1, 5, 6a, 7a, 8a, 9

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Strategy #1: use fraction strips to compare

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Strategy #2: use fraction circles to compare

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Strategy #3: use a number line to compare

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Strategy #4: make equivalent fractions (same denominator) Comparing Fractions Game Compare 3 2 1 3 4 2 5 4 3 5 6 3 http://www.thatquiz.org/tq/practice.html?fracineq

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Using all 4 strategies to compare fractions try and solve which fraction is greater. 3/4 or 7/8 Fraction strips 2. Fraction circles 3. Number line 4. Same denominator

Student outcome: I can compare and order fractions LESSON #2 Student outcome: I can compare and order fractions Strategy #4: make equivalent fractions (same denominator) Assignment Student Practice Book: Page 70-71 Textbook: Page 172 – 173 # 2, 3, 5, 7, 10, 12

LESSON #3 Student outcome: I can understand a problem and pick a strategy to solve it. Strategies Toolkit Connect (Page 174) Practice (Page 175) # 1, 2, 3

LESSON #4 Try to make the fraction have a denominator of 10 or 100 Student outcome: I can relate fraction to decimals with denominators of 10 and 100 Try to make the fraction have a denominator of 10 or 100 5/10 is 5 tenths or 0.5 9/100 is 9 hundredths or 0.09

LESSON #4 2/5 is equal to 4/10 or 40/100 Student outcome: I can relate fraction to decimals with denominators of 10 and 100 What happens when the denominator is not 10 or 100? Make an equivalent fraction that does have a denominator of 10 or 100 2/5 is equal to 4/10 or 40/100 2/4 is equal to 50/100 (any fraction with a denominator of 10) 3/4 is equal to 75/100

LESSON #4 Student outcome: I can relate fraction to decimals with denominators of 10 and 100 How do you change a decimal to an equivalent fraction? 0.45 = 0.8 = 0.67 = 0.10 =

LESSON #4 Student Practice Book Page 74 – 75 Student outcome: I can relate fraction to decimals with denominators of 10 and 100 Assignment Student Practice Book Page 74 – 75 Textbook Page 178 – 179 # 1, 5, 6, 7, 11

Student outcome: I can order and compare decimals to hundredths LESSON #5 Student outcome: I can order and compare decimals to hundredths Lets find fractions that and their equivalent decimals using the chart below Fraction/Decimal Game http://www.venturaes.com/curriculum/HOM3/HOM3_Activity_8.html

Student outcome: I can order and compare decimals to hundredths LESSON #5 Student outcome: I can order and compare decimals to hundredths Lets divide the number line into equal parts (or create benchmarks) Halves Thirds Fourths Fifths

Student outcome: I can order and compare decimals to hundredths LESSON #5 Student outcome: I can order and compare decimals to hundredths Explore Page 180 (work with students through explore section) Connect Page 180-181 (discuss with students) Assignment Student Practice Book Page 74 – 75 Textbook Page 181 – 182 # 1, 3, 4, 6, 7,

Student outcome: I will understand thousandths LESSON #6 Student outcome: I will understand thousandths

Student outcome: I will understand thousandths LESSON #6 Student outcome: I will understand thousandths How would we say each decimal and write it as a fraction? Ex #1 0.123 Ex #2 0.056 Ex #3 0.009 Ex#4 1. 450 Ex #5 14.773

Student outcome: I will understand thousandths LESSON #6 Student outcome: I will understand thousandths How would we say each fraction and write it as a decimal? Ex #1 123 1000 Ex #2 56 Ex #3 9 Ex#4 450 Ex #5 1209

Student outcome: I will be able to order and compare decimals LESSON #7 Student outcome: I will be able to order and compare decimals Order numbers from least to greatest = (smallest to biggest) Order numbers from greatest to least = (biggest to smallest) Ex: 0.002, 0.89, 0.020, 0.704

Student outcome: I will be use decimals when I measure LESSON #8 Student outcome: I will be use decimals when I measure Review What kind of comparisons can you make between metres (m) centimeters (cm) and millimeters (mm)? 1m = mm 1m = cm 1mm = m 1cm = m 1cm = mm 1mm = cm

Student outcome: I will be use decimals when I measure LESSON #8 Student outcome: I will be use decimals when I measure Review Solve 50cm = mm 83m = cm 543mm= m 789cm = m 34.6mm = cm

Student outcome: I can relate decimals and fractions to division LESSON #9 Student outcome: I can relate decimals and fractions to division We need to split 5 pizzas among your 3 friends. How do we do this? How much does each person get?

Student outcome: I can estimate sums and differences using decimals LESSON #10 Student outcome: I can estimate sums and differences using decimals Things to remember: ALWAYS line up the decimals Empty place values can be filled in with a ZERO Example: Find the sum of 3.56 and 1.009

Student outcome: I can estimate sums and differences using decimals LESSON #10 Student outcome: I can estimate sums and differences using decimals Things to remember: ALWAYS line up the decimals Empty place values can be filled in with a ZERO Example: Find the difference between 12.898 and 1.3

Student outcome: I can add decimals LESSON #11 Student outcome: I can add decimals Remember the 2 rules: Ex: 26.79 Ex: 345.8 + 2.60 + 23.14 20.00 8.00 1.30 0.09 29.39