# High school: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 9 concepts ready. In the app: https://ai.page/roadmap/nd-high-school Part of: [North Dakota: Mathematics](https://ai.page/roadmap/nd.md) Goal: North Dakota academic standards: Mathematics, High school ## 1. Ninth and Tenth Grades · Represent data on two quantitative variables on a scatter plot and describe how the variables are related. - [Scatter Graphs & Correlation](https://ai.page/c/scatter-graphs-and-correlation/index.md): Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions ## 2. Ninth and Tenth Grades · Write a function defined by an expression in different but equivalent forms to reveal and explain the different properties of the function. - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations ## 3. Eleventh and Twelfth Grades · Represent data on a scatter plot for two quantitative variables and describe how the variables are related. - [Scatter Graphs](https://ai.page/c/scatter-graphs/index.md): Plot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an estimated line of best fit where appropriate ## 4. Eleventh and Twelfth Grades · Analyze and graph functions expressed symbolically (by hand in simple cases and using technology for more complicated cases), identifying key features of the graph. - [Estimating answers (age 13+)](https://ai.page/c/estimating-answers-age-13/index.md): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts ## 5. Eleventh and Twelfth Grades · Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. - [Linear Function Graphs](https://ai.page/c/linear-function-graphs/index.md): Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context - [Quadratic Graphs](https://ai.page/c/quadratic-graphs/index.md): Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions ## 6. Eleventh and Twelfth Grades · Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. - [Factorising Expressions](https://ai.page/c/factorising-expressions/index.md): Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3) ## 7. Eleventh and Twelfth Grades · Interpret expressions that represent a quantity in context. - [Expressions & Equations Vocabulary](https://ai.page/c/expressions-and-equations-vocabulary/index.md): Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign) ## 8. Eleventh and Twelfth Grades · Add and subtract vectors. Represent vector subtraction graphically by connecting the tips in the appropriate order and using the components to perform vector subtraction. - [Plotting Linear Graphs](https://ai.page/c/plotting-linear-graphs/index.md): Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line ## Health: 0 of 100 Of its 9 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Scatter Graphs & Correlation has no explanation yet - Numbers on a number line has no explanation yet - Scatter Graphs has no explanation yet - Estimating answers (age 13+) comes before Plotting Linear Graphs, which it needs - Estimating answers (age 13+) has no explanation yet - Linear Function Graphs has no explanation yet - Quadratic Graphs comes before Plotting Linear Graphs, which it needs - Quadratic Graphs has no explanation yet - Factorising Expressions has no explanation yet - Expressions & Equations Vocabulary has no explanation yet - Plotting Linear Graphs has no explanation yet Credit: The structure of North Dakota academic standards: Mathematics (https://www.nd.gov/dpi/sites/www/files/documents/Academic%20Support/ND%20Mathematics%20K-12%20Standards.pdf); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.