##### The Abbott and Costello Show: Seven into Twenty-Eight
• Math → Multiplication → Proof of Concept
• Math → Mathematical Logic → Proofs
Bud Abbott, the landlord, collects thirteen week's worth of rent at \$7 a week from his tenant, Lou Costello. Lou argues that he only owes \$28. Perplexed by what Lou is saying, Bud offers to give Lou the room for free if he can prove to him why the answer is \$28.

#### Public Discussion Questions

1. What was he doing wrong that caused his answer to be off?
2. hey

#### Standards

• ##### CCSS.MATH.CONTENT.4.G.A.1
Common Core State Standards
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parall...
• ##### CCSS.MATH.CONTENT.4.G.A.2
Common Core State Standards
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines...
• ##### CCSS.MATH.CONTENT.4.G.A.3
Common Core State Standards
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the ...
• ##### CCSS.MATH.CONTENT.4.MD.A.1
Common Core State Standards
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, ...
• ##### CCSS.MATH.CONTENT.4.MD.A.2
Common Core State Standards
Use the four operations to solve word problems involving distances, intervals of time, liquid volume...
• ##### CCSS.MATH.CONTENT.4.MD.A.3
Common Core State Standards
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For ex...
• ##### CCSS.MATH.CONTENT.4.MD.B.4
Common Core State Standards
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve...
• ##### CCSS.MATH.CONTENT.4.MD.C.5
Common Core State Standards
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and ...
• ##### CCSS.MATH.CONTENT.4.MD.C.5A
Common Core State Standards
An angle is measured with reference to a circle with its center at the common endpoint of the rays, ...
• ##### CCSS.MATH.CONTENT.4.MD.C.5B
Common Core State Standards
An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
• ##### CCSS.MATH.CONTENT.4.MD.C.6
Common Core State Standards
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
• ##### CCSS.MATH.CONTENT.4.MD.C.7
Common Core State Standards
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the ang...
• ##### CCSS.MATH.CONTENT.4.NBT.A.1
Common Core State Standards
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it repr...
• ##### CCSS.MATH.CONTENT.4.NBT.A.2
Common Core State Standards
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. C...
• ##### CCSS.MATH.CONTENT.4.NBT.A.3
Common Core State Standards
Use place value understanding to round multi-digit whole numbers to any place.
• ##### CCSS.MATH.CONTENT.4.NBT.B.4
Common Core State Standards
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
• ##### CCSS.MATH.CONTENT.4.NBT.B.5
Common Core State Standards
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit...
• ##### CCSS.MATH.CONTENT.4.NBT.B.6
Common Core State Standards
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, u...
• ##### CCSS.MATH.CONTENT.4.NF.A.1
Common Core State Standards
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction mode...
• ##### CCSS.MATH.CONTENT.4.NF.A.2
Common Core State Standards
Compare two fractions with different numerators and different denominators, e.g., by creating common...
• ##### CCSS.MATH.CONTENT.4.NF.B.3
Common Core State Standards
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
• ##### CCSS.MATH.CONTENT.4.NF.B.3A
Common Core State Standards
Understand addition and subtraction of fractions as joining and separating parts referring to the sa...
• ##### CCSS.MATH.CONTENT.4.NF.B.3B
Common Core State Standards
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recordi...
• ##### CCSS.MATH.CONTENT.4.NF.B.3C
Common Core State Standards
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an ...
• ##### CCSS.MATH.CONTENT.4.NF.B.3D
Common Core State Standards
Solve word problems involving addition and subtraction of fractions referring to the same whole and ...
• ##### CCSS.MATH.CONTENT.4.NF.B.4
Common Core State Standards
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
• ##### CCSS.MATH.CONTENT.4.NF.B.4A
Common Core State Standards
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represen...
• ##### CCSS.MATH.CONTENT.4.NF.B.4B
Common Core State Standards
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction...
• ##### CCSS.MATH.CONTENT.4.NF.B.4C
Common Core State Standards
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual ...
• ##### CCSS.MATH.CONTENT.4.NF.C.5
Common Core State Standards
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this ...
• ##### CCSS.MATH.CONTENT.4.NF.C.6
Common Core State Standards
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100;...
• ##### CCSS.MATH.CONTENT.4.NF.C.7
Common Core State Standards
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are val...
• ##### CCSS.MATH.CONTENT.4.OA.A.1
Common Core State Standards
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that ...
• ##### CCSS.MATH.CONTENT.4.OA.A.2
Common Core State Standards
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawin...
• ##### CCSS.MATH.CONTENT.4.OA.A.3
Common Core State Standards
Solve multistep word problems posed with whole numbers and having whole-number answers using the fou...
• ##### CCSS.MATH.CONTENT.4.OA.B.4
Common Core State Standards
Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a mult...
• ##### CCSS.MATH.CONTENT.4.OA.C.5
Common Core State Standards
Generate a number or shape pattern that follows a given rule. Identify apparent features of the patt...
• ##### CCSS.MATH.CONTENT.5.G.A.1
Common Core State Standards
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the inter...
• ##### CCSS.MATH.CONTENT.5.G.A.2
Common Core State Standards
Represent real world and mathematical problems by graphing points in the first quadrant of the coord...
• ##### CCSS.MATH.CONTENT.5.G.B.3
Common Core State Standards
Understand that attributes belonging to a category of two-dimensional figures also belong to all sub...
• ##### CCSS.MATH.CONTENT.5.G.B.4
Common Core State Standards
Classify two-dimensional figures in a hierarchy based on properties.
• ##### CCSS.MATH.CONTENT.5.MD.A.1
Common Core State Standards
Convert among different-sized standard measurement units within a given measurement system (e.g., co...
• ##### CCSS.MATH.CONTENT.5.MD.B.2
Common Core State Standards
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use o...
• ##### CCSS.MATH.CONTENT.5.MD.C.3A
Common Core State Standards
A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, an...
• ##### CCSS.MATH.CONTENT.5.MD.C.3B
Common Core State Standards
A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a vol...
• ##### CCSS.MATH.CONTENT.5.MD.C.4
Common Core State Standards
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
• ##### CCSS.MATH.CONTENT.5.MD.C.5
Common Core State Standards
Relate volume to the operations of multiplication and addition and solve real world and mathematical...
• ##### CCSS.MATH.CONTENT.5.MD.C.5A
Common Core State Standards
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit ...
• ##### CCSS.MATH.CONTENT.5.MD.C.5B
Common Core State Standards
Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right recta...
• ##### CCSS.MATH.CONTENT.5.MD.C.5C
Common Core State Standards
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right re...
• ##### CCSS.MATH.CONTENT.5.NBT.A.1
Common Core State Standards
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it repre...
• ##### CCSS.MATH.CONTENT.5.NBT.A.2
Common Core State Standards
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, an...
• ##### CCSS.MATH.CONTENT.5.NBT.A.3
Common Core State Standards
Read, write, and compare decimals to thousandths.
• ##### CCSS.MATH.CONTENT.5.NBT.A.3A
Common Core State Standards
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g...
• ##### CCSS.MATH.CONTENT.5.NBT.A.3B
Common Core State Standards
Compare two decimals to thousandths based on meanings of the digits in each place, using &gt;, =, an...
• ##### CCSS.MATH.CONTENT.5.NBT.A.4
Common Core State Standards
Use place value understanding to round decimals to any place.
• ##### CCSS.MATH.CONTENT.5.NBT.B.5
Common Core State Standards
Fluently multiply multi-digit whole numbers using the standard algorithm.
• ##### CCSS.MATH.CONTENT.5.NBT.B.6
Common Core State Standards
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors,...
• ##### CCSS.MATH.CONTENT.5.NBT.B.7
Common Core State Standards
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and st...
• ##### CCSS.MATH.CONTENT.5.NF.A.1
Common Core State Standards
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fra...
• ##### CCSS.MATH.CONTENT.5.NF.A.2
Common Core State Standards
Solve word problems involving addition and subtraction of fractions referring to the same whole, inc...
• ##### CCSS.MATH.CONTENT.5.NF.B.3
Common Core State Standards
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word probl...
• ##### CCSS.MATH.CONTENT.5.NF.B.4
Common Core State Standards
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by...
• ##### CCSS.MATH.CONTENT.5.NF.B.4A
Common Core State Standards
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as ...
• ##### CCSS.MATH.CONTENT.5.NF.B.4B
Common Core State Standards
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appr...
• ##### CCSS.MATH.CONTENT.5.NF.B.5
Common Core State Standards
Interpret multiplication as scaling (resizing), by:
• ##### CCSS.MATH.CONTENT.5.NF.B.5A
Common Core State Standards
Comparing the size of a product to the size of one factor on the basis of the size of the other fact...
• ##### CCSS.MATH.CONTENT.5.NF.B.5B
Common Core State Standards
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater ...
• ##### CCSS.MATH.CONTENT.5.NF.B.6
Common Core State Standards
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using vi...
• ##### CCSS.MATH.CONTENT.5.NF.B.7
Common Core State Standards
Apply and extend previous understandings of division to divide unit fractions by whole numbers and w...
• ##### CCSS.MATH.CONTENT.5.NF.B.7A
Common Core State Standards
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For ex...
• ##### CCSS.MATH.CONTENT.5.NF.B.7B
Common Core State Standards
Interpret division of a whole number by a unit fraction, and compute such quotients. For example, cr...
• ##### CCSS.MATH.CONTENT.5.NF.B.7C
Common Core State Standards
Solve real world problems involving division of unit fractions by non-zero whole numbers and divisio...
• ##### CCSS.MATH.CONTENT.5.OA.A.1
Common Core State Standards
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these s...
• ##### CCSS.MATH.CONTENT.5.OA.A.2
Common Core State Standards
Write simple expressions that record calculations with numbers, and interpret numerical expressions ...
• ##### CCSS.MATH.CONTENT.5.OA.B.3
Common Core State Standards
Generate two numerical patterns using two given rules. Identify apparent relationships between corre...

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