# Planned Instruction for Math- Grade 6

Code |
Standard |
Content - Benchmark |
P |
Time |
Materials/Strategies/Activities |
CET |
PSSA |

2.4 | A. Make conjectures based onlogical reasoning and test conjectures by using counterexamples. |
A. Generalize from a pattern of observations, make predictions, and provide supporting examples. • If no one completed their homework, what conclusions could be drawn? • Even number + even number = even number |
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B. Combine numericrelationships to arrive at a conclusion. |
B. Develop numeric relationships. • Develop patterns when changing fractions to decimals (use calculator to begin pattern, but continue by observation). • Use divisibility rules to aid in simplifying fractions . • Convert between decimal, percents and fractions to solve real world problems. |
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C. Use if...then statements toconstruct simple, valid arguments. |
C. Examine if...then statements to determine if the statements are valid. |
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D. Construct, use and explainalgorithmic procedures for computing and estimating with whole numbers, fractions, decimals and integers. |
D. Use algorithmic procedures for computing and estimating with whole numbers, fractions, and decimals. |
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E. Distinguish betweeninductive and deductive reasoning. • Inductive (goes from specific to general). • Deductive (goes from general to specific.) |
E. Identify inductive and deductive reasoning. • Inductive (goes from specific to general) • Deductive (goes from general to specific) |
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F. Use measurements andstatistics to quantify issues (e.g., in family, consumer science situations). |
F. Use measurements to quantify issues. • Metric. |
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2.5 | A. Invent, select, use andjustify the appropriate methods, materials and strategies to solve problems . |
A. Select, use and justify the methods, materials and strategies used to solve problems. • Problem solving methods included but are not limited to: guess and check, working backwards, solving a simpler problem, making a graph, making a model, making a list, using simulation, drawing a diagram, using logical reasoning, and using algebra . |
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B. Verify and interpretresults using precise mathematical language , notation and representations, including numerical tables and equations, simple algebraic equations and formulas , charts, graphs and diagrams. |
B. Create a visual representation (e.g., illustration, scale drawing, diagram, table, manipulatives) of a problem, and use the visual representation to solve the problem and explain the solution using appropriate mathematical language (oral). |
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C. Justify strategies anddefend approaches used and conclusions reached. |
C. Justify the solution using appropriate mathematical language (oral). |
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D. Determine pertinentinformation in problem situations and whether any further information is needed for solution. |
D. Determine whether a sufficient amount of information is given in order to solve the problem. |
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2.6 | A. Compare and contrast different plots of data using values of mean , median, mode, quartiles |
A. Create picture graphs and accurate line graphs. • Use an accurate title and key. • Examine and organize data using mean, median, mode and range. |
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B. Explain effects of samplingprocedures and missing or incorrect information on reliability. |
B. Discuss the reliability of results gathered via convenience sampling. |
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C. Fit a line to the scatter plotof two quantities and describe any correlation of the variables . |
C. Draw a scatter plot of two quantities . |
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D. Design and carry out arandom sampling procedure. |
D. Complete a teacher directed survey and organize the data in a frequency table. |
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E. Analyze and display datain stem-and-leaf and box-andwhisker plots. • Analyze and choose the best statistical model to display the data (e.g., line, bar, circle graph). |
E. Display and analyze data using stem and leaf plots. Use an accurate title and key. |
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F. Use scientific and graphingcalculators and computer spreadsheets to organize and analyze data. |
F. Use a computer to produce double bar, circle and line graphs and analyze the data. • Use the calculator to determine the mean of a set of data. |
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G. Determine the validity ofthe sampling method described in studies published in local or national newspapers. |
G. Evaluate whether the mean, median, mode or range of the data is the best representation of the given data. |
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A. Determine the number ofcombinations and permutations for an event. |
A. Make and justify predictions that are based on experimental probability. |
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B. Present the results of anexperiment using visual representations (e.g., tables, charts , graphs). |
B. After determining all possible outcomes, identify the probability of an event. |
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2.7 | C. Analyze predictions (e.g.,election polls). |
C. Identify real-life situations that use probability. • Express the probability of the event as a percent. |
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D. Compare and contrastresults from observations and mathematical models. |
D. Predict outcomes using sampling. |
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E. Make valid inferences,predictions and arguments based on probability. |
E. Make predictions based on probability. |

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