Academic standards

- CCSS.Math.Content.3.MD.B.3
- Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and...
- CCSS.Math.Content.3.MD.B.4
- Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where...
- 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.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.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.SP.A.1
- Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For...
- CCSS.Math.Content.6.SP.A.2
- Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and...
- CCSS.Math.Content.6.SP.A.3
- Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation...
- CCSS.Math.Content.6.SP.B.4
- Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
- CCSS.Math.Content.6.SP.B.5
- Summarize numerical data sets in relation to their context, such as by:
- CCSS.Math.Content.7.SP.B.3
- Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the...
- CCSS.Math.Content.7.SP.B.4
- Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two...
- CCSS.Math.Content.7.SP.C.8
- Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
- CCSS.Math.Content.8.EE.B.5
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships...
- CCSS.Math.Content.8.EE.B.6
- Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive...
- CCSS.Math.Content.8.F.A.2
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal...
- CCSS.Math.Content.8.SP.A.1
- Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe...
- CCSS.Math.Content.8.SP.A.3
- Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For...
- GLE 0306.1.5
- Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
- GLE 0306.2.7
- Add and subtract fractions with like denominators using various models.
- GLE 0306.5.1
- Organize, display, and analyze data using various representations to solve problems.
- 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 0406.2.5
- 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 0406.4.2
- 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 0506.5.2
- Describe the shape and important features of a set of data using the measures of central tendency.
- GLE 0606.1.6
- Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely.
- GLE 0606.3.5
- Use multiple representations including symbolic algebra to model and/or solve contextual problems that involve linear relationships.
- GLE 0606.5.2
- Interpret representations of data from surveys and polls, and describe sample bias and how data representations can be misleading.
- GLE 0706.3.2
- Understand and compare various representations of relations and functions.
- GLE 0706.3.5
- Understand and graph proportional relationships.
- GLE 0706.3.6
- Conceptualize the meanings of slope using various interpretations, representations, and contexts.
- GLE 0706.5.1
- Collect, organize, and analyze both single- and two-variable data.
- GLE 0706.5.2
- Select, create, and use appropriate graphical representations of data.
- GLE 0706.5.3
- Formulate questions and design studies to collect data about a characteristic shared by two populations, or different characteristics within one population.
- GLE 0706.5.4
- Use descriptive statistics to summarize and compare data.
- GLE 0806.3.4
- Translate among verbal, tabular, graphical and algebraic representations of linear functions.
- GLE 0806.5.1
- Explore probabilities for compound, independent and/or dependent events.
- GLE 0806.5.2
- Select, create, and use appropriate graphical representations of data (including scatterplots with lines of best fit) to make and test conjectures.
- SPI 0306.1.2
- Solve problems involving elapsed time.
- SPI 0306.1.8
- Express answers clearly in verbal, numerical, or graphical (bar and picture) form, using units when appropriate.
- SPI 0306.2.14
- Add and subtract fractions with like denominators.
- SPI 0306.4.6
- Measure length to the nearest centimeter or half inch.
- SPI 0306.5.1
- Interpret a frequency table, bar graph, pictograph, or line plot.
- SPI 0306.5.2
- Solve problems in which data is represented in tables or graph.
- SPI 0306.5.3
- Make predictions based on various representations of data.
- 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 0406.2.8
- 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 0406.5.3
- Given a set of data or a graph, describe the distribution of the data using median, range, or mode.
- SPI 0506.1.2
- Estimate fraction and decimal sums or differences.
- SPI 0506.2.7
- Recognize equivalent representations for the same number.
- SPI 0506.5.3
- Calculate measures of central tendency to analyze data.
- SPI 0606.2.1
- Solve problems involving the multiplication and division of fractions.
- SPI 0706.3.4
- Interpret the slope of a line as a unit rate given the graph of a proportional relationship.
- SPI 0706.3.5
- Represent proportional relationships with equations, tables and graphs.
- SPI 0706.5.2
- Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create...
- SPI 0706.5.3
- Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.
- SPI 0806.3.4
- Translate between various representations of a linear function.
- SPI 0806.5.1
- Calculate probabilities of events for simple experiments with equally probable outcomes.
- SPI 0806.5.2
- Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models).
- SPI 0806.5.3
- Generalize the relationship between two sets of data using scatterplots and lines of best fit.
- TSS.Math.3.MD.B.3
- Draw a scaled pictograph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step how many more and how many less...
- TSS.Math.3.MD.B.4
- Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the...
- 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.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.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.SP.A.1
- Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example,...
- TSS.Math.6.SP.A.2
- Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center (mean, median, mode),...
- TSS.Math.6.SP.A.3
- Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how...
- TSS.Math.6.SP.B.4
- Display a single set of numerical data using dot plots (line plots), box plots, pie charts and stem plots.
- TSS.Math.6.SP.B.5
- Summarize numerical data sets in relation to their context.
- TSS.Math.7.SP.B.3
- Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers...
- TSS.Math.7.SP.B.4
- Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
- TSS.Math.7.SP.D.8
- Summarize numerical data sets in relation to their context.
- TSS.Math.8.EE.B.5
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in...
- TSS.Math.8.EE.B.6
- Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; know and derive...
- TSS.Math.8.F.A.2
- Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
- TSS.Math.8.SP.A.1
- Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such...
- TSS.Math.8.SP.A.3
- Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a...

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