Mathematics Standards
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Circles
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Conditional Probability and the Rules of Probability
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Expressions and Equations
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Geometry
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Ratios and Proportional Relationships
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The Complex Number System
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Showing 41 - 50 of 130 Standards
Standard Identifier: 6.RP.3.c
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Standard Identifier: 6.RP.3.d
Grade:
6
Domain:
Ratios and Proportional Relationships
Cluster:
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Understand ratio concepts and use ratio reasoning to solve problems.
Standard:
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
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: 7.G.1
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Standard Identifier: 7.G.2
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
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.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
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.
Standard Identifier: 7.G.3
Grade:
7
Domain:
Geometry
Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Standard:
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Showing 41 - 50 of 130 Standards
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