Bits & Pieces II Unit Course 1 and ixl.com Alignment
Investigation 1.1: Taxing Tapes
ixl.com Practice
– Sixth Grade G.7, AA.14, and AA.15
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Investigation 1.2: Computing Tips
ixl.com Practice
– Sixth Grade G.7, AA.14, and AA.15
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Investigation 1.3: Finding Bargains
ixl.com Practice
– Sixth Grade G.6, G.7, AA.14, and AA.15
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Investigation 2.1: Finding Percents
ixl.com Practice
– Sixth Grade AA.17 and AA.18
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Investigation 2.2: Finding a General Strategy
ixl.com Practice
– Sixth Grade AA.17 and AA.18
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Lesson 7-7: Percents, Fractions, and Decimals
ixl.com Practice
– Sixth Grade AA.11
phschool.com Video Tutorials
– Writing percents as fractions and decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-757s.html
– Writing decimals as percents
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-832s.html
– Writing fractions as percents
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-896s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/converting-decimals-to-percents–ex-1
– http://www.khanacademy.org/math/arithmetic/percents/v/converting-decimals-to-percents–ex-2
Investigation 2.3: Clipping Coupons
ixl.com Practice
– Sixth Grade AA.17 and AA.18
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Lesson 7-9: Finding a Percent of a Number
ixl.com Practice
– Sixth Grade AA.14, AA.15, AA.16, AA.17, and AA.18
phschool.com Video Tutorials
– Finding the percent of a number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-836s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent
– http://www.khanacademy.org/math/arithmetic/percents/v/identifying-percent-amount-and-base
Lesson 7-3: Solving Proportions
ixl.com Practice
– Sixth Grade U.8
phschool.com Video Tutorials
– Identifying proportions
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-756s.html
– Identifying whether two ratios are proportional
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-828s.html
– Solving proportions using cross products
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-166s.html
– Solving proportions using number sense or mental math
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-829s.html
khanacademy.org Video Tutorials
– htt http://www.khanacademy.org/math/arithmetic/basic-ratios-proportions/v/understanding-proportions
Adding Fractions and Mixed Numbers
ixl.com Practice
– Fifth Grade R.4; Sixth Grade U.1, U.2, U.3, U.4, U.6, and U.7
phschool.com Video Tutorials
– Estimating sums or differences of fractions
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-747s.html
– Estimating sums or differences of mixed numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-748s.html
– Estimating the difference of fractions or mixed numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-805s.html
– Adding fractions with like denominators
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-045s.html
– Adding mixed numbers to solve problems
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-751s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/finding-common-denominators
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-fractions-with-like-denominators
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-fractions-with-unlike-denominators
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-and-subtracting-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-mixed-numbers-with-unlike-denominators
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-fractions–ex-1
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-mixed-numbers-word-problem
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5–ex-1
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5–ex-2
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-1–ex-1
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-1–ex-2
Investigation 4.1: Dividing Land
ixl.com Practice
– Sixth Grade T.1
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/numerator-and-denominator-of-a-fraction
– http://www.khanacademy.org/math/arithmetic/fractions/v/identifying-fraction-parts
Subtracting Fractions and Mixed Numbers
ixl.com Practice
– Fifth Grade R.5; Sixth Grade U.1, U.2, U.3, U.4, U.6, and U.7
phschool.com Video Tutorials
– Estimating sums or differences of fractions
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-747s.html
– Estimating sums or differences of mixed numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-748s.html
– Estimating the difference of fractions or mixed numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-805s.html
– Subtracting fractions with like denominators
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-749s.html
– Subtracting mixed numbers using renaming
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-809s.html
-Subtracting mixed numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-881s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/finding-common-denominators
– http://www.khanacademy.org/math/arithmetic/fractions/v/subtracting—fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-and-subtracting-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/subtracting-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/subtracting-mixed-numbers-2
– http://www.khanacademy.org/math/arithmetic/fractions/v/subtracting-mixed-numbers-word-problem
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5–ex-1
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5–ex-2
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-1–ex-1
– http://www.khanacademy.org/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-1–ex-2
Investigation 5.1: Selling Brownies
ixl.com Practice
– Sixth Grade V.5
phschool.com Video Tutorials
– Multiplying a fraction by a fraction
– Writing a mixed number as an improper fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
-Writing an improper fraction as a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
– Multiplying a mixed number by a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-811s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/proper-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying–mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-and-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-word-problem
Investigation 5.2: Discounting Brownies
ixl.com Practice
– Sixth Grade V.5
phschool.com Video Tutorials
– Multiplying a fraction by a fraction
– Writing a mixed number as an improper fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
-Writing an improper fraction as a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-801s.html
– Multiplying a mixed number by a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-811s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/proper-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying–mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-and-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-word-problem
Investigation 5.3: Buying the Biggest Lot
ixl.com Practice
– Sixth Grade V.1 and V.5
phschool.com Video Tutorials
– Multiplying a fraction by a fraction
– Writing a mixed number as an improper fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
-Writing an improper fraction as a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-801s.html
– Multiplying a mixed number by a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-811s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/proper-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying–mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-and-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-word-problem
Multiplying Fractions, Mixed Numbers, and Whole Numbers
ixl.com Practice
– Sixth Grade V.1, V.2, V.3, V.6, V.7, V.10, V.11, and V.12
phschool.com Video Tutorials
– Multiplying a fraction by a fraction
– Writing a mixed number as an improper fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
-Writing an improper fraction as a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-801s.html
– Multiplying a mixed number by a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-811s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/proper-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying–mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-and-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/multiplying-fractions-word-problem
Dividing Fractions, Mixed Numbers, and Whole Numbers
ixl.com Practice
– Sixth Grade W.2, W.3, W.5, and W.6
phschool.com Video Tutorials
– Dividing a fraction by a fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-812s.html
– Writing a mixed number as an improper fraction
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-800s.html
– Writing an improper fraction as a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-801s.html
– Dividing a mixed number by a mixed number
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-813s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/fractions/v/proper-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/dividing-fractions
– http://www.khanacademy.org/math/arithmetic/fractions/v/dividing-fractions-example
– http://www.khanacademy.org/math/arithmetic/fractions/v/dividing-fractions-word-problem
– http://www.khanacademy.org/math/arithmetic/fractions/v/reciprocal-of-a-mixed-number
– http://www.khanacademy.org/math/arithmetic/fractions/v/dividing-mixed-numbers
– http://www.khanacademy.org/math/arithmetic/fractions/v/dividing-mixed-numbers-and-fractions
Lesson 3-6: Rounding and Estimating Data
ixl.com Practice
– Sixth Grade B.7 and J.3
phschool.com Video Tutorials
– Using front-end estimation to find decimal sums
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-783s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/rounding-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/estimation-with-decimals
Lesson 3-7: Adding and Subtracting Decimals
ixl.com Practice
– Sixth Grade J.1 and J.2
phschool.com Video Tutorials
– Adding decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-784s.html
– Subtracting decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-785s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/adding-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/subtracting-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/subtracting-decimals-word-problem
Investigation 6.2: Moving Decimal Points
ixl.com Practice
– Sixth Grade J.1 and J.2
phschool.com Video Tutorials
– Adding decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-784s.html
– Subtracting decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-785s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/adding-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/subtracting-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/subtracting-decimals-word-problem
Lesson 4-1: Estimating Products and Quotients
ixl.com Practice
– Sixth Grade O.2
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/estimation-with-decimals
Investigation 6.3: Multiplying Decimals
ixl.com Practice
– Sixth O.1
phschool.com Video Tutorials
– Multiplying decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-786s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/mulitplyling-decimals-3
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-a-decimal-by-a-power-of-10
Investigation 6.4: Shifting Decimal Points
ixl.com Practice
– Sixth O.1
phschool.com Video Tutorials
– Multiplying decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-786s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/mulitplyling-decimals-3
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-a-decimal-by-a-power-of-10
Lesson 4-5: Multiplying Decimals
ixl.com Practice
– Sixth O.1
phschool.com Video Tutorials
– Multiplying decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-786s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/mulitplyling-decimals-3
– http://www.khanacademy.org/math/arithmetic/decimals/v/multiplying-a-decimal-by-a-power-of-10
Lesson 4-7: Dividing Decimals by Whole Numbers
ixl.com Practice
– Sixth O.4 and O.5
phschool.com Video Tutorials
– Dividing decimals by whole numbers
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-735s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimals-2-1
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimal
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-a-decimal-by-a-power-of-10
Lesson 4-8: Dividing Decimals by Decimals
ixl.com Practice
– Sixth O.7
phschool.com Video Tutorials
– Dividing decimals by decimals
http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-787s.html
khanacademy.org Video Tutorials
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimals-2-1
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimal
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-decimals
– http://www.khanacademy.org/math/arithmetic/decimals/v/dividing-a-decimal-by-a-power-of-10