Academic standards
- 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.1
- Write and evaluate numerical expressions involving whole-number exponents.
- CCSS.Math.Content.6.EE.A.2
- Write, read, and evaluate expressions in which letters stand for numbers.
- CCSS.Math.Content.6.EE.A.3
- Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to...
- 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.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.RP.A.2
- Recognize and represent proportional relationships between quantities.
- 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.EE.C.7
- Solve linear equations in one variable.
- CCSS.Math.Content.8.EE.C.8
- Analyze and solve pairs of simultaneous linear equations.
- CCSS.Math.Content.8.F.A.1
- Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting...
- 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.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 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 0606.1.1
- Use mathematical language, symbols, and definitions while developing mathematical reasoning.
- 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 0706.2.3
- Develop an understanding of and apply proportionality.
- 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 0706.3.3
- Understand the concept of function as a rule that assigns to a given input one and only one number (the output).
- 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 0706.3.7
- 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 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 0806.3.3
- Solve systems of linear equations in 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.
- 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 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 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 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 0706.3.1
- Evaluate algebraic expressions involving rational values for coefficients and/or variables.
- SPI 0706.3.2
- Determine whether a relation (represented in various ways) is a function.
- 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 0806.1.2
- Interpret a qualitative graph representing a contextual situation.
- SPI 0806.1.3
- Calculates rates involving cost per unit to determine the best buy.
- SPI 0806.3.1
- Find solutions to systems of two linear equations in two variables.
- 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 0806.5.3
- Generalize the relationship between two sets of data using scatterplots and lines of best fit.
- 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.1
- Write and evaluate numerical expressions involving whole-number exponents.
- TSS.Math.6.EE.A.2
- Write, read, and evaluate expressions in which variables stand for numbers.
- TSS.Math.6.EE.A.3
- Apply the properties of operations (including, but not limited to, commutative, associative, and distributive properties) to generate equivalent...
- 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
- 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.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.RP.A.2
- Recognize and represent proportional relationships between quantities.
- 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.EE.C.7
- Solve linear equations in one variable.
- TSS.Math.8.EE.C.8
- Analyze and solve systems of two linear equations.
- TSS.Math.8.F.A.1
- Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an...
- 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.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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