# Who Wants Pizza?

A quick set of exercises to demonstrate student understanding of fractions and their visual representations, with examples centered around pizza. From identifying fractions in the first online exercises, students move on to others that add and subtract fractions both visually and by using operations. Successful completion of these exercises demonstrates an understanding of comparing, adding and subtracting simple fractions and converting fractions by multiples.

### Standards & Objectives

CCSS.ELA-Literacy.L.8.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
CCSS.ELA-Literacy.L.8.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
CCSS.ELA-Literacy.L.8.3
Use knowledge of language and its conventions when writing, speaking, reading, or listening.
CCSS.ELA-Literacy.SL.8.6
Adapt speech to a variety of contexts and tasks, demonstrating command of formal English when indicated or appropriate. (See grade 8 Language...
CCSS.ELA-Literacy.W.8.3
Write narratives to develop real or imagined experiences or events using effective technique, relevant descriptive details, and well-structured event...
CCSS.ELA-Literacy.W.8.4
Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience. (Grade-specific...
CCSS.Math.Content.4.MD.A.2
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including...
CCSS.Math.Content.4.MD.B.4
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of...
CCSS.Math.Content.4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size...
CCSS.Math.Content.4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to...
CCSS.Math.Content.4.NF.B.3
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
CCSS.Math.Content.4.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
CCSS.Math.Content.4.NF.C.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective...
CCSS.Math.Content.4.NF.C.6
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62...
CCSS.Math.Content.4.OA.A.2
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown...
CCSS.Math.Content.4.OA.A.3
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which...
CCSS.Math.Content.5.MD.B.2
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve...
CCSS.Math.Content.5.NBT.B.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
CCSS.Math.Content.5.NF.A.1
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way...
CCSS.Math.Content.5.NF.A.2
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by...
CCSS.Math.Content.5.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
CCSS.Math.Content.5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1
CCSS.Math.Content.6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,...
GLE 0406.1.2
Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0406.2.2
Develop fluency with multiplication and single-digit division.
GLE 0406.2.4
Understand and use the connections between fractions and decimals.
GLE 0406.2.5
Add and subtract fractions with like and unlike denominators.
GLE 0406.2.6
Solve problems involving whole numbers, fractions, and/or decimals using all four arithmetic operations.
GLE 0406.3.1
Extend understanding of a variable to equations involving whole numbers, fractions, decimals, and/or mixed numbers.
GLE 0406.3.3
Translate between different forms of representations of whole number relationships.
GLE 0406.4.2
Understand and use measures of length, area, capacity, and weight.
GLE 0406.4.3
Solve problems that involve estimating and measuring length, area, capacity and weight.
GLE 0406.5.1
Collect, record, arrange, present, and interpret data using tables and various representations.
GLE 0506.2.4
Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm.
GLE 0506.5.1
Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions.
GLE 0606.2.3
Understand and use ratios, rates and percents.
GLE 0606.3.6
Understand and use the Cartesian coordinate system.
GLE 0706.4.2
Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed.
GLE 0706.4.4
Understand and use ratios, derived quantities, and indirect measurements.
GLE 0801.1.1
Demonstrate control of Standard English through grammar usage, and mechanics (punctuation, capitalization, and spelling).
GLE 0801.3.3
Organize ideas into an essay with an introduction, developing paragraphs, conclusion, and appropriate transitions.
SPI 0406.2.10
Solve contextual problems using whole numbers, fractions, and decimals.
SPI 0406.2.11
Solve problems using whole number multi-digit multiplication.
SPI 0406.2.5
Generate equivalent forms of common fractions and decimals and use them to compare size.
SPI 0406.2.6
Use the symbols and = to compare common fractions and decimals in both increasing and decreasing order.
SPI 0406.2.8
Add and subtract proper fractions with like and unlike denominators and simplify the answer.
SPI 0406.3.1
Use letters and symbols to represent an unknown quantity and write a simple mathematical expression
SPI 0406.4.7
Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight.
SPI 0406.5.1
Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs).
SPI 0406.5.2
Solve problems using estimation and comparison within a single set of data.
SPI 0506.1.2
Estimate fraction and decimal sums or differences.
SPI 0506.2.7
Recognize equivalent representations for the same number.
SPI 0606.2.1
Solve problems involving the multiplication and division of fractions.
SPI 0606.2.6
Solve problems involving ratios, rates and percents.
SPI 0606.3.9
Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
SPI 0706.2.6
Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
SPI 0801.1.2
Identify the correct use of verbs (i.e., action/linking, regular/irregular, agreement, perfect tenses, verb phrases) within context.
SPI 0801.3.11
Identify individual written selections as technical, narrative, persuasive, and/or descriptive in mode.
SPI 0801.3.5
Select appropriate time-order or transitional words/phrases to enhance the flow of a writing sample.
SPI 0801.3.8
Select vivid words to strengthen a description (adjective or adverb) within a writing sample or passage.
SPI 0801.3.9
Select illustrations, explanations, anecdotes, descriptions and/or facts to support key ideas.
SPI 0806.1.1
Solve problems involving rate/time/distance (i.e., d = rt).
SPI 0806.1.3
Calculates rates involving cost per unit to determine the best buy.
SPI 0806.4.4
Convert between and within the U.S. Customary System and the metric system.
TSS.ELA.8.L.CSE.1
Demonstrate command of the conventions of standard English grammar and usage.
TSS.ELA.8.L.CSE.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling. When reading and writing, explain the functions of ...
TSS.ELA.8.L.KL.3
When writing and speaking, adjust style and tone to a variety of contexts; when reading or listening, analyze stylistic choices to determine context.
TSS.ELA.8.SL.PKI.6
Adapt speech to a variety of contexts and tasks, demonstrating command of formal English when indicated or appropriate.
TSS.ELA.8.W.PDW.4
Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience.
TSS.ELA.8.W.TTP.3
Write narratives (fiction and nonfiction) to develop real or imagined experiences or events using effective techniques, relevant descriptive details, and...
TSS.Math.4.MD.A.2
Solve one- or two-step real-world problems involving whole number measurements with all four operations within a single system of measurement including...
TSS.Math.4.MD.B.4
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems...
TSS.Math.4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (axn)/(bxn) or (a/n)/(b/n) by using visual fraction models, with attention to how the number and size...
TSS.Math.4.NF.A.2
Compare two fractions with different numerators and different denominators by creating common denominators or common numerators or by comparing to a...
TSS.Math.4.NF.B.3
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. For example, 4/5 = 1/5 + 1/5 + 1/5 + 1/5.
TSS.Math.4.NF.B.4
Apply and extend previous understandings of multiplication as repeated addition to multiply a whole number by a fraction.
TSS.Math.4.NF.C.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective...
TSS.Math.4.NF.C.6
Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.
TSS.Math.4.OA.A.2
Multiply or divide to solve contextual problems involving multiplicative comparison, and distinguish multiplicative comparison from additive comparison.
TSS.Math.4.OA.A.3
Solve multi-step contextual problems posed with whole numbers and having whole-number answers using the four operations, including problems in which...
TSS.Math.5.MD.B.2
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems...
TSS.Math.5.NBT.B.5
Fluently multiply multi-digit whole numbers (up to three-digit by four-digit factors) using appropriate strategies and algorithms.
TSS.Math.5.NF.A.1
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to...
TSS.Math.5.NF.A.2
Solve contextual problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. Use benchmark...
TSS.Math.5.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction by a fraction.
TSS.Math.5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
TSS.Math.6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems.

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### Lesson Variations

Blooms taxonomy level:
Understanding