Mathematics Standards
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Circles
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Creating Equations
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Expressions and Equations
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Geometric Measurement and Dimension
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Reasoning with Equations and Inequalities
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Similarity, Right Triangles, and Trigonometry
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Showing 11 - 20 of 119 Standards
Standard Identifier: 6.EE.9
Grade:
6
Domain:
Expressions and Equations
Cluster:
Represent and analyze quantitative relationships between dependent and independent variables.
Standard:
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Represent and analyze quantitative relationships between dependent and independent variables.
Standard:
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Standard Identifier: 7.EE.1
Grade:
7
Domain:
Expressions and Equations
Cluster:
Use properties of operations to generate equivalent expressions.
Standard:
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Use properties of operations to generate equivalent expressions.
Standard:
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Standard Identifier: 7.EE.2
Grade:
7
Domain:
Expressions and Equations
Cluster:
Use properties of operations to generate equivalent expressions.
Standard:
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 related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
Use properties of operations to generate equivalent expressions.
Standard:
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 related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
Standard Identifier: 7.EE.3
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Standard Identifier: 7.EE.4.a
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Standard Identifier: 7.EE.4.b
Grade:
7
Domain:
Expressions and Equations
Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Standard Identifier: A-CED.1
Grade Range:
7–12
Domain:
Creating Equations
Discipline:
Algebra I
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Linear, quadratic, and exponential (integer inputs only); for A.CED.3 linear only]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships. [Linear, quadratic, and exponential (integer inputs only); for A.CED.3 linear only]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.1
Grade Range:
7–12
Domain:
Creating Equations
Discipline:
Math I
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]
Standard:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. CA *
Standard Identifier: A-CED.2
Grade Range:
7–12
Domain:
Creating Equations
Discipline:
Math I
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships. [Linear and exponential (integer inputs only); for A.CED.3, linear only]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Standard Identifier: A-CED.2
Grade Range:
7–12
Domain:
Creating Equations
Discipline:
Algebra I
Conceptual Category:
Algebra
Cluster:
Create equations that describe numbers or relationships. [Linear, quadratic, and exponential (integer inputs only); for A.CED.3 linear only]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Create equations that describe numbers or relationships. [Linear, quadratic, and exponential (integer inputs only); for A.CED.3 linear only]
Standard:
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. *
Showing 11 - 20 of 119 Standards
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