Academic standards
- 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.5.G.A.1
- Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to...
- CCSS.Math.Content.5.G.A.2
- Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of...
- CCSS.Math.Content.5.OA.A.1
- Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
- CCSS.Math.Content.6.EE.A.2
- Write, read, and evaluate expressions in which letters stand for numbers.
- CCSS.Math.Content.6.EE.B.5
- Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or...
- CCSS.Math.Content.6.EE.B.6
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can...
- CCSS.Math.Content.6.EE.B.7
- Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all...
- CCSS.Math.Content.6.EE.B.8
- Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that...
- CCSS.Math.Content.6.EE.C.9
- Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one...
- CCSS.Math.Content.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same...
- CCSS.Math.Content.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to...
- CCSS.Math.Content.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- CCSS.Math.Content.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and...
- CCSS.Math.Content.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings...
- CCSS.Math.Content.6.RP.A.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....
- 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,...
- CCSS.Math.Content.7.EE.A.2
- Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are...
- CCSS.Math.Content.7.EE.B.4
- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by...
- CCSS.Math.Content.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- CCSS.Math.Content.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different...
- CCSS.Math.Content.7.RP.A.2
- Recognize and represent proportional relationships between quantities.
- CCSS.Math.Content.7.RP.A.3
- Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and...
- CCSS.Math.Content.8.EE.C.7
- Solve linear equations in one variable.
- 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.F.A.3
- Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For...
- CCSS.Math.Content.8.F.B.4
- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a...
- CCSS.Math.Content.8.F.B.5
- Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or...
- CCSS.Math.Content.8.G.B.8
- Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
- GLE 0406.2.5
- Add and subtract fractions with like and unlike denominators.
- GLE 0506.3.1
- Understand and use order of operations.
- GLE 0506.3.2
- Develop and apply the concept of variable.
- GLE 0506.3.3
- Understand and apply the substitution property.
- GLE 0506.4.3
- Describe length/distance relationships using the first quadrant of the coordinate system.
- GLE 0606.1.1
- Use mathematical language, symbols, and definitions while developing mathematical reasoning.
- GLE 0606.2.3
- Understand and use ratios, rates and percents.
- GLE 0606.3.1
- Write and solve two-step equations and inequalities.
- GLE 0606.3.2
- Interpret and represent algebraic relationships with variables in expressions, simple equations and inequalities.
- GLE 0606.3.3
- Extend order of operations to include grouping symbols and exponents.
- GLE 0606.3.4
- Use expressions, equations and formulas to solve problems.
- GLE 0606.3.5
- Use multiple representations including symbolic algebra to model and/or solve contextual problems that involve linear relationships.
- GLE 0606.3.6
- Understand and use the Cartesian coordinate system.
- GLE 0706.1.5
- Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
- GLE 0706.2.1
- Extend understandings of addition, subtraction, multiplication and division to integers.
- GLE 0706.2.2
- Understand and work with the properties of and operations on the system of rational numbers.
- GLE 0706.2.3
- Develop an understanding of and apply proportionality.
- GLE 0706.2.4
- Use ratios, rates and percents to solve single- and multi-step problems in various contexts.
- GLE 0706.3.1
- Recognize and generate equivalent forms for simple algebraic expressions.
- GLE 0706.3.2
- Understand and compare various representations of relations and functions.
- GLE 0706.3.5
- Understand and graph proportional relationships.
- GLE 0706.3.7
- Use mathematical models involving linear equations to analyze real-world phenomena.
- GLE 0706.3.8
- Use a variety of strategies to efficiently solve linear equations and inequalities.
- 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 0806.3.1
- Recognize and generate equivalent forms for algebraic expressions.
- GLE 0806.3.2
- Represent, analyze, and solve problems involving linear equations and inequalities in one and two variables.
- GLE 0806.3.4
- Translate among verbal, tabular, graphical and algebraic representations of linear functions.
- GLE 0806.3.5
- Use slope to analyze situations and solve problems.
- GLE 0806.3.6
- Compare and contrast linear and nonlinear functions.
- SPI 0406.2.5
- Generate equivalent forms of common fractions and decimals and use them to compare size.
- SPI 0406.3.1
- Use letters and symbols to represent an unknown quantity and write a simple mathematical expression
- SPI 0406.4.2
- Graph and interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane.
- SPI 0406.4.3
- Construct geometric figures with vertices at points on a coordinate grid.
- SPI 0506.2.7
- Recognize equivalent representations for the same number.
- SPI 0506.2.9
- Compare whole numbers, decimals and fractions using the symbols , and =.
- SPI 0506.3.1
- Evaluate algebraic expressions involving decimals and fractions using order of operations.
- SPI 0506.3.2
- Use variables appropriately to represent numbers whose values are not yet known.
- SPI 0506.3.3
- Find the unknown in single-step equations involving fractions and mixed numbers.
- SPI 0506.4.5
- Find the length of vertical or horizontal line segments in the first quadrant of the coordinate system, including problems that require the use of fractions and...
- SPI 0606.2.6
- Solve problems involving ratios, rates and percents.
- SPI 0606.2.7
- Locate positive rational numbers on the number line.
- SPI 0606.2.8
- Locate integers on the number line.
- SPI 0606.3.1
- Represent on a number line the solution of a linear inequality.
- SPI 0606.3.2
- Use order of operations and parentheses to simplify expressions and solve problems.
- SPI 0606.3.3
- Write equations that correspond to given situations or represent a given mathematical relationship.
- SPI 0606.3.4
- Rewrite expressions to represent quantities in different ways.
- SPI 0606.3.5
- Translate between verbal expressions/sentences and algebraic expressions/equations.
- SPI 0606.3.8
- Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub).
- SPI 0606.3.9
- Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
- SPI 0706.1.3
- Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship.
- SPI 0706.2.1
- Simplify numerical expressions involving rational numbers.
- SPI 0706.2.5
- Solve contextual problems that involve operations with integers.
- SPI 0706.2.6
- Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
- SPI 0706.2.7
- Use ratios and proportions to solve problems.
- SPI 0706.3.1
- Evaluate algebraic expressions involving rational values for coefficients and/or variables.
- SPI 0706.3.3
- Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern.
- 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 0706.3.6
- Solve linear equations with rational coefficients symbolically or graphically.
- SPI 0706.3.7
- Translate between verbal and symbolic representations of real-world phenomena involving linear equations.
- SPI 0706.3.8
- Solve contextual problems involving two-step linear equations.
- SPI 0706.3.9
- Solve linear inequalities in one variable with rational coefficients symbolically or graphically.
- SPI 0806.1.1
- Solve problems involving rate/time/distance (i.e., d = rt).
- SPI 0806.1.2
- Interpret a qualitative graph representing a contextual situation.
- SPI 0806.1.3
- Calculates rates involving cost per unit to determine the best buy.
- SPI 0806.3.2
- Solve the linear equation f(x) = g(x).
- SPI 0806.3.4
- Translate between various representations of a linear function.
- SPI 0806.3.5
- Determine the slope of a line from an equation, two given points, a table or a graph.
- SPI 0806.3.6
- Analyze the graph of a linear function to find solutions and intercepts.
- SPI 0806.3.7
- Identify, compare and contrast functions as linear or nonlinear.
- SPI 0806.4.2
- Apply the Pythagorean theorem to find distances between points in the coordinate plane to measure lengths and analyze polygons and polyhedra.
- SPI 0806.4.4
- Convert between and within the U.S. Customary System and the metric system.
- 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.5.G.A.1
- Graph ordered pairs and label points using the first quadrant of the coordinate plane. Understand in the ordered pair that the first number indicates the...
- TSS.Math.5.G.A.2
- Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in...
- TSS.Math.5.OA.A.1
- Use parentheses and/or brackets in numerical expressions and evaluate expressions having these symbols using the conventional order (Order of Operations).
- TSS.Math.6.EE.A.2
- Write, read, and evaluate expressions in which variables stand for numbers.
- TSS.Math.6.EE.B.5
- Understand solving an equation or inequality is carried out by determining if any of the values from a given set make the equation or inequality true. Use...
- TSS.Math.6.EE.B.6
- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an...
- TSS.Math.6.EE.B.7
- Solve real-world and mathematical problems by writing and solving onestep equations of the form x + p = q and px = q for cases in which p, q, and x are all...
- TSS.Math.6.EE.B.8
- Interpret and write an inequality of the form x > c or x < c which represents a condition or constraint in a real-world or mathematical problem. Recognize...
- TSS.Math.6.EE.C.9
- Use variables to represent two quantities in a real-world problem that change in relationship to one another.
- TSS.Math.6.G.A.3
- Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side that joins two vertices (vertical or...
- TSS.Math.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent...
- TSS.Math.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- TSS.Math.6.NS.C.8
- Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value...
- TSS.Math.6.RP.A.1
- Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, the ratio of wings to beaks...
- TSS.Math.6.RP.A.2
- Understand the concept of a unit rate a/b associated with a ratio a:b with b != 0. Use rate language in the context of a ratio relationship.
- TSS.Math.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems.
- TSS.Math.7.EE.A.2
- Understand that rewriting an expression in different forms in a contextual problem can provide multiple ways of interpreting the problem and how the...
- TSS.Math.7.EE.B.4
- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by...
- TSS.Math.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- TSS.Math.7.RP.A.1
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. For...
- TSS.Math.7.RP.A.2
- Recognize and represent proportional relationships between quantities.
- TSS.Math.7.RP.A.3
- Use proportional relationships to solve multi-step ratio and percent problems.
- TSS.Math.8.EE.C.7
- Solve linear equations in one variable.
- 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.F.A.3
- Know and interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
- TSS.Math.8.F.B.4
- Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description...
- TSS.Math.8.F.B.5
- Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear...
- TSS.Math.8.G.B.6
- Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
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