Comparing Bits and Pieces: Ratios, Rational Numbers, Equivalence
Quizizz for Unit Test
Learning Targets
- I can interpret fractions as part of a whole, as a number, and with division.
- I can explain the concept of a ratio.
- I can find equivalent fractions using fraction models.
- I can find equivalent fractions using multiplication.
- I can simplify fractions to the lowest terms.
- I can find a unit rate and explain what it means in words.
- I can use rate tables to find equivalent ratios.
- I can convert mixed numbers to improper fractions.
- I can convert improper fractions to mixed numbers.
- I can place rational numbers in order on a number line.
- I can find the absolute value of a number.
- I can identify opposites and plot them on a number line.
- I can use benchmark fractions to compare and order fractions.
- I can write fractions as decimals and decimals as fractions.
- I can order fractions and decimals on a number line.
- I can find the percent of a quantity as the rate per 100.
Video Notes Links and Additional Resources/Practice
Interpreting Fractions
I can interpret fractions as part of a whole, as a number, and with division.
Interpreting Ratios
I can explain the concept of a ratio.
Fraction Equivalence
I can find equivalent fractions using fraction models.
Simplifying Fractions to Lowest Terms
I can simplify fractions to the lowest terms.
Rates and Unit Rates
I can find a unit rate and explain what it means in words.
I can use rate tables to find equivalent ratios.
Mixed Numbers and Improper Fractions
I can convert mixed numbers to improper fractions.
Rational Numbers in the Coordinate Plane
I can place rational numbers in order on a number line.
Opposite Integers
I can identify opposites and plot them on a number line.
Absolute Value
I can find the absolute value of a number.
I can use benchmark fractions to compare and order fractions.
Fraction and Decimal Relationships - Part I
I can write fractions as decimals and decimals as fractions.
Fractions and Decimals on the Number Line
I can order fractions and decimals on a number line.
Working With Percents
I can find the percent of a quantity as the rate per 100.
I can interpret fractions as part of a whole, as a number, and with division.
- Video tutorial #1: https://www.youtube.com/watch?v=CA9XLJpQp3c
- Video tutorial #2: https://www.youtube.com/watch?v=3xwDryouw6o
- Fractions as part of a whole tutorial: http://www.sheppardsoftware.com/mathgames/fractions/fracTut1.htm
- Matching fractions game
Interpreting Ratios
I can explain the concept of a ratio.
- Video tutorial #1: https://www.youtube.com/watch?v=RQ2nYUBVvqI
- Video tutorial #2: https://www.youtube.com/watch?v=suRIY3ULrQo
- Writing ratios game: http://www.softschools.com/math/ratios/ratio_game/
- Ratios with tape diagrams practice: https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-visualize-ratios/e/ratios-with-tape-diagrams
Fraction Equivalence
I can find equivalent fractions using fraction models.
- Video tutorial #1: https://www.youtube.com/watch?v=_BcElGczDfA
- Video tutorial #2: https://www.youtube.com/watch?v=b0mNXVATdKE&t=62s
- Equivalent fractions with models practice: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Equivalent-Fractions/
- Equivalent fractions bingo game: http://www.abcya.com/equivalent_fractions_bingo.htm
- Matching equivalent fractions game
- Video tutorial #1: https://www.youtube.com/watch?v=TN6f3sKVa4I
- Video tutorial #2: https://www.youtube.com/watch?v=AtBUQH8Tkqc&t=117s
- Equivalent fractions practice: https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/e/equivalent_fractions
- Fishy fractions game: http://streaming.discoveryeducation.com/braingames/iknowthat/Fractions/FractionGame.cfm?Topic=equivalentfractions
- Equivalent fractions triplets game: https://www.mathplayground.com/Triplets/index.html
Simplifying Fractions to Lowest Terms
I can simplify fractions to the lowest terms.
- Video tutorial #1: https://www.youtube.com/watch?v=WPimvspI0_c
- Video tutorial #2: https://www.youtube.com/watch?v=ApoOgWRsobw
- Simplifying fractions rap video: https://www.youtube.com/watch?v=fp0wJ9d3pKE
- Simplifying fractions practice: http://www.mathplayground.com/fractions_reduce.html
- Target practice game: http://www.sheppardsoftware.com/mathgames/fractions/reduce_fractions_shoot.htm
- Pac-man game: http://www.sheppardsoftware.com/mathgames/fractions/mathman_reduce_fractions.htm
Rates and Unit Rates
I can find a unit rate and explain what it means in words.
- Video tutorial #1: https://www.youtube.com/watch?v=liW_ALj4Qj8
- Unit rates practice: http://www.aaamath.com/rat-unit-rate.htm
- Jeopardy game: https://www.quia.com/cb/195515.html?AP_rand=1875560822
- Make sure you use units! You will need two different units in each answer.
- Word problems practice: http://www.mathgames.com/skill/6.65-unit-rates
I can use rate tables to find equivalent ratios.
- Video tutorial #1: https://www.youtube.com/watch?v=Bqci7iJCI4M
- Video tutorial #2: https://www.youtube.com/watch?v=s9XFvTkHQ9s
- Equivalent ratios blaster game: http://www.arcademics.com/games/ratio-blaster/ratio-blaster.html
- Ratio tables practice:
Mixed Numbers and Improper Fractions
I can convert mixed numbers to improper fractions.
- Video tutorial #1 (mixed to improper): https://www.youtube.com/watch?v=shpf9krdXQQ
- Video tutorial #2 (mixed to improper): https://www.youtube.com/watch?v=mtzcNW2sp9g
- Mixed numbers to improper fractions practice: http://www.mathplayground.com/fractions_mixed.html
- Exploring improper fractions and mixed numbers: https://www.geogebra.org/m/amV7qRa3
- You can change the numerator and denominator to create improper fractions. What is the relationship between improper fractions and mixed numbers?
- Video tutorial #1 (improper to mixed): https://www.youtube.com/watch?v=GpumUOiGS6Q
- Video tutorial #2 (improper to mixed): https://www.youtube.com/watch?v=wjQdakQR2n4
- Improper fractions to mixed number practice: http://www.mathplayground.com/fractions_improper.html
- Jeopardy game: https://jeopardylabs.com/play/mixed-numbers-improper-fractions-equivalent-fractions-and-decimals
Rational Numbers in the Coordinate Plane
I can place rational numbers in order on a number line.
- Video tutorial #1: https://www.youtube.com/watch?v=OAoLCXpao6s
- Video tutorial #2: https://www.youtube.com/watch?v=i1i2_9wg6N8
- Ordering numbers practice: http://www.softschools.com/math/rational_numbers/ordering_rational_numbers/
- Rags to riches game: https://www.quia.com/rr/168625.html
- Number climb game: https://www.mathplayground.com/number_climb.html
- Number line battleship game: https://www.brainpop.com/games/battleshipnumberline/
- Comparing rational numbers Jeopardy!: http://www.math-play.com/Comparing-Rational-Numbers/comparing-rational-numbers-jeopardy-game.html
Opposite Integers
I can identify opposites and plot them on a number line.
- Video tutorial #1: https://www.youtube.com/watch?v=OqPzY4zjoxk
- Video tutorial #2: https://www.youtube.com/watch?v=vTfqgqkBges&nohtml5=False
- Identifying opposites practice:
Absolute Value
I can find the absolute value of a number.
- Video tutorial #1: https://www.youtube.com/watch?v=dQCNC97Y-mw&nohtml5=False
- Video tutorial #2: https://www.youtube.com/watch?v=CARkStA-QSc
- Absolute value practice:
- http://www.mathgames.com/skill/6.58-absolute-value-and-opposite-integers
- This activity includes practice with identifying opposites.
- https://www.khanacademy.org/math/arithmetic/arith-review-negative-numbers/arith-review-abs-value/e/absolute_value
- http://www.aaamath.com/g76-absolute-value.html
- http://www.mathopolis.com/questions/q.php?id=1669&site=1&ref=/numbers/absolute-value.html&qs=1669_5637_5638_5639_5640_5641_5642_1670_1671_1672_2212_2213_2214
- http://www.mathgames.com/skill/6.58-absolute-value-and-opposite-integers
- Absolute value game: http://www.xpmath.com/forums/arcade.php?do=play&gameid=96
I can use benchmark fractions to compare and order fractions.
- Representing fractions using fraction bars models: https://www.youtube.com/watch?v=ory05j2jgBM
- Video tutorial #1: https://www.youtube.com/watch?v=3-FMK3Qb5WY
- Video tutorial #2: https://www.youtube.com/watch?v=ByiNZ6IzFTI
- Find Grampy game: http://www.visualfractions.com/FindGrampy/
- Pearl diver game: http://mathsnacks.com/pearl-diver.html
- Play through at least four levels in order to meet 6th grade math expectations. The first two levels involve whole numbers...and then the number line gets more exciting with fractions!
Fraction and Decimal Relationships - Part I
I can write fractions as decimals and decimals as fractions.
- Video tutorial #1: https://www.youtube.com/watch?v=_jcW-ZgpRbM
- Video tutorial #2: https://www.youtube.com/watch?v=yWcNQkmpYVk
- Fruit shoot game (fractions to decimals): http://www.sheppardsoftware.com/mathgames/fractions/FractionsToDecimals.htm
- Soccer game (decimals to fractions): https://www.fractions4kids.com/converting-decimals-to-fractions-football-games/
- Fractions/mixed numbers to decimals practice: https://www.mathgames.com/skill/4.69-convert-fractions-and-mixed-numbers-to-decimals
- Decimals to fractions/mixed numbers practice: https://www.mathgames.com/skill/4.70-convert-decimals-to-fractions-and-mixed-numbers
- Ancient Egyptian matching game: https://www.turtlediary.com/game/decimals-and-fractions.html
Fractions and Decimals on the Number Line
I can order fractions and decimals on a number line.
- Video tutorial #1: https://www.youtube.com/watch?v=uC09taczvOo
- Video tutorial #2: https://www.youtube.com/watch?v=XQnNPJ1lm7g
- Pecking order game: http://www.abcya.com/number_line_fractions_percents_decimals.htm
- Please select "Fractions and Decimals." We will study percents in a few weeks!
- Number line battleship game: https://www.brainpop.com/games/battleshipnumberline/
- Please select "Mixed Bag" so that you place fractions and decimals on the number line. If you find that you're still getting all fractions or all decimals, then you can go back and practice fractions or decimals individually.
- Animal rescue game:
http://www.sheppardsoftware.com/mathgames/fractions/AnimalRescueAdvancedFractionsNumberLineGame.htm- Please select "Fractions and Decimals." We will study percents in a few weeks!
Working With Percents
I can find the percent of a quantity as the rate per 100.
- Video tutorial #1 (definition of percent): https://www.youtube.com/watch?v=JeVSmq1Nrpw
- Video tutorial #2 (find percent of a number): https://www.youtube.com/watch?v=pOrQ2hEoRPA
- Video tutorial #3 (percent "thermometer"): https://www.youtube.com/watch?v=0a155h3zW-U
- Find the percent of a number practice:
- Matching percent of a number game: http://www.sheppardsoftware.com/mathgames/percentage/MatchingPercentNumber.htm