Creating Equations |
| HSA.CED: Create Equations That Describe Numbers Or Relationships |
| HSA.CED.1 | Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. |
Expressions And Equations |
| 6.EE: Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions. |
| 6.EE.2 | Write, read, and evaluate expressions in which letters stand for numbers. |
| 7.EE: Use Properties Of Operations To Generate Equivalent Expressions. |
| 7.EE.1 | Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. |
| 8.EE: Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations. |
| 8.EE.7 | Solve linear equations in one variable. |
| Understand The Connections Between Proportional Relationships, Lines, And Linear Equations. |
| 8.EE.5 | Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. |
Geometry |
| 6.G: Solve Real-World And Mathematical Problems Involving Area, Surface Area, And Volume. |
| 6.G.2 | Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. |
| 7.G: Draw, Construct, And Describe Geometrical Figures And Describe The Relationships Between Them. |
| 7.G.2 | Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. |
| 8.G: Understand Congruence And Similarity Using Physical Models, Trans- Parencies, Or Geometry Software. |
| 8.G.3 | Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. |
Interpreting Functions |
| HSF.IF: Interpret Functions That Arise In Applications In Terms Of The Context |
| HSF.IF.4 | For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★ |
Ratios And Proportional Relationships |
| 6.RP: Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems. |
| 6.RP.2 | Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1 |
| 7.RP: Analyze Proportional Relationships And Use Them To Solve Real-World And Mathematical Problems. |
| 7.RP.2 | Recognize and represent proportional relationships between quantities. |
Similarity, Right Triangles, And Trigonometry |
| HSG.SRT: Define Trigonometric Ratios And Solve Problems Involving Right Triangles |
| HSG.SRT.6 | Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. |
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